EN
fx-CG50
fx-CG50 AU
fx-CG20 (Updated to OS 3.11)
fx-CG20 AU (Updated to OS 3.11)
fx-CG10 (Updated to OS 3.11)
Software Version 3.11
User’s Guide
CASIO Worldwide Education Website
http://edu.casio.com
Manuals are available in multi languages at
http://world.casio.com/manual/calc
• The contents of this user’s guide are subject to change without notice.
• No part of this user’s guide may be reproduced in any form without the express written
consent of the manufacturer.
• Be sure to keep all user documentation handy for future reference.
i
Contents
Getting Acquainted — Read This First!
Chapter 1 Basic Operation
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Keys .............................................................................................................................. 1-1
Display .......................................................................................................................... 1-3
Inputting and Editing Calculations ................................................................................. 1-7
Using the Math Input/Output Mode ............................................................................. 1-15
Option (OPTN) Menu .................................................................................................. 1-30
Variable Data (VARS) Menu ....................................................................................... 1-31
Program (PRGM) Menu ............................................................................................. 1-34
Using the Setup Screen .............................................................................................. 1-35
Using Screen Capture ................................................................................................. 1-39
When you keep having problems… ........................................................................... 1-40
Chapter 2 Manual Calculations
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Basic Calculations ......................................................................................................... 2-1
Special Functions .......................................................................................................... 2-7
Specifying the Angle Unit and Display Format ............................................................ 2-12
Function Calculations .................................................................................................. 2-14
Numerical Calculations ............................................................................................... 2-25
Complex Number Calculations.................................................................................... 2-35
Binary, Octal, Decimal, and Hexadecimal Calculations with Integers ......................... 2-39
Matrix Calculations ...................................................................................................... 2-42
Vector Calculations ..................................................................................................... 2-59
Metric Conversion Calculations................................................................................... 2-64
Chapter 3 List Function
1.
2.
3.
4.
5.
Inputting and Editing a List ............................................................................................ 3-1
Manipulating List Data................................................................................................... 3-7
Arithmetic Calculations Using Lists ............................................................................. 3-13
Switching between List Files ....................................................................................... 3-17
Using CSV Files .......................................................................................................... 3-18
Chapter 4 Equation Calculations
1. Simultaneous Linear Equations .................................................................................... 4-1
2. High-order Equations from 2nd to 6th Degree .............................................................. 4-3
3. Solve Calculations......................................................................................................... 4-4
Chapter 5 Graphing
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Sample Graphs ............................................................................................................. 5-1
Controlling What Appears on a Graph Screen .............................................................. 5-5
Drawing a Graph ......................................................................................................... 5-13
Saving and Recalling Graph Screen Contents............................................................ 5-20
Drawing Two Graphs on the Same Screen................................................................. 5-23
Manual Graphing......................................................................................................... 5-25
Using Tables ............................................................................................................... 5-32
Modifying a Graph ....................................................................................................... 5-38
Dynamic Graphing ...................................................................................................... 5-42
Graphing a Recursion Formula ................................................................................... 5-45
Graphing a Conic Section ........................................................................................... 5-50
ii
12. Drawing Dots, Lines, and Text on the Graph Screen (Sketch) ................................... 5-52
13. Function Analysis ........................................................................................................ 5-54
Chapter 6 Statistical Graphs and Calculations
1.
2.
3.
4.
5.
6.
7.
8.
9.
Before Performing Statistical Calculations .................................................................... 6-1
Calculating and Graphing Single-Variable Statistical Data ........................................... 6-8
Calculating and Graphing Paired-Variable Statistical Data (Curve Fitting) ................. 6-15
Performing Statistical Calculations.............................................................................. 6-23
Tests ........................................................................................................................... 6-33
Confidence Interval ..................................................................................................... 6-47
Distribution .................................................................................................................. 6-50
Input and Output Terms of Tests, Confidence Interval, and Distribution .................... 6-66
Statistic Formula ......................................................................................................... 6-69
Chapter 7 Financial Calculation
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Before Performing Financial Calculations ..................................................................... 7-1
Simple Interest .............................................................................................................. 7-3
Compound Interest........................................................................................................ 7-4
Cash Flow (Investment Appraisal) ................................................................................ 7-7
Amortization .................................................................................................................. 7-9
Interest Rate Conversion ............................................................................................ 7-12
Cost, Selling Price, Margin .......................................................................................... 7-13
Day/Date Calculations................................................................................................. 7-14
Depreciation ................................................................................................................ 7-15
Bond Calculations ....................................................................................................... 7-17
Financial Calculations Using Functions ...................................................................... 7-20
Chapter 8 Programming
1.
2.
3.
4.
5.
6.
7.
8.
Basic Programming Steps............................................................................................. 8-1
Program Mode Function Keys...................................................................................... 8-2
Editing Program Contents ............................................................................................. 8-4
File Management .......................................................................................................... 8-6
Command Reference .................................................................................................. 8-11
Using Calculator Functions in Programs ..................................................................... 8-28
Program Mode Command List ................................................................................... 8-52
CASIO Scientific Function Calculator
Special Commands ⇔ Text Conversion Table .......................................................... 8-60
9. Program Library .......................................................................................................... 8-67
Chapter 9 Spreadsheet
1.
2.
3.
4.
5.
Spreadsheet Basics and the Function Menu ................................................................ 9-1
Basic Spreadsheet Operations ..................................................................................... 9-3
Using Special Spreadsheet Mode Commands .......................................................... 9-19
Conditional Formatting ................................................................................................ 9-21
Drawing Statistical Graphs, and Performing Statistical and Regression
Calculations................................................................................................................. 9-27
6. Spreadsheet Mode Memory....................................................................................... 9-34
Chapter 10 eActivity
1.
2.
3.
4.
eActivity Overview ....................................................................................................... 10-1
eActivity Function Menus ............................................................................................ 10-2
eActivity File Operations ............................................................................................. 10-4
Inputting and Editing Data ........................................................................................... 10-6
iii
Chapter 11 Memory Manager
1. Using the Memory Manager ........................................................................................ 11-1
Chapter 12 System Manager
1. Using the System Manager ......................................................................................... 12-1
2. System Settings .......................................................................................................... 12-1
Chapter 13 Data Communication
1. Performing Data Communication between
the Calculator and a Personal Computer .................................................................... 13-3
2. Performing Data Communication between Two Calculators..................................... 13-10
3. Connecting the Calculator to a Projector .................................................................. 13-16
Chapter 14 Geometry
1.
2.
3.
4.
5.
6.
Geometry Mode Overview ......................................................................................... 14-1
Drawing and Editing Objects ..................................................................................... 14-11
Controlling the Appearance of the Geometry Window .............................................. 14-33
Using Text and Labels in a Screen Image ................................................................ 14-37
Using the Measurement Box ..................................................................................... 14-41
Working with Animations ........................................................................................... 14-56
Chapter 15 Picture Plot
1.
2.
3.
4.
5.
Picture Plot Function Menus ....................................................................................... 15-3
Managing Picture Plot Files ........................................................................................ 15-5
Using the Plot Function ............................................................................................... 15-7
Using the Plot List ..................................................................................................... 15-13
Common Functions with the Graph Mode ................................................................ 15-18
Chapter 16 3D Graph Function
1.
2.
3.
4.
5.
Example of Drawing in the 3D Graph Mode ............................................................... 16-2
3D View Window ......................................................................................................... 16-4
3D Graph Function List ............................................................................................... 16-6
3D Graph Function Selection Screen.......................................................................... 16-8
3D Graph Screen ...................................................................................................... 16-14
Appendix
1. Error Message Table ....................................................................................................α-1
2. Input Ranges ..............................................................................................................α-14
Examination Mode ....................................................................................... β-1
E-CON4 Application
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
E-CON4 Mode Overview............................................................................................... ε-1
Sampling Screen ........................................................................................................... ε-3
Auto Sensor Detection (CLAB Only) ............................................................................. ε-9
Selecting a Sensor ...................................................................................................... ε-10
Configuring the Sampling Setup ................................................................................. ε-12
Performing Auto Sensor Calibration and Zero Adjustment ......................................... ε-20
Using a Custom Probe ................................................................................................ ε-23
Using Setup Memory................................................................................................... ε-25
Starting a Sampling Operation .................................................................................... ε-28
Using Sample Data Memory ....................................................................................... ε-33
Using the Graph Analysis Tools to Graph Data .......................................................... ε-35
Graph Analysis Tool Graph Screen Operations .......................................................... ε-39
Calling E-CON4 Functions from an eActivity .............................................................. ε-51
iv
Getting Acquainted — Read This First!
k About this User’s Guide
u Attention fx-CG10, fx-CG20, fx-CG20 AU Users
This manual explains how to use the fx-CG50. There are some differences in the marking of
some fx-CG50 keys and the keys of the fx-CG10, fx-CG20, and fx-CG20 AU. The table below
shows the differences in key markings.
fx-CG50
fx-CG10/fx-CG20/fx-CG20 AU
'
$
f
M
5
E
u Math natural input and display
Under its initial default settings, the calculator is set up to use the “Math input/output mode”,
which enables natural input and display of math expressions. This means you can input
fractions, square roots, derivatives, and other expressions just as they are written. In the
“Math input/output mode”, most calculation results also are displayed using natural display.
You also can select a “Linear input/output mode” if you like, for input and display of
calculation expressions in a single line.
The examples shown in this User’s Guide are mainly presented using the Math input/output
mode. “” will be indicated for examples that use the Linear input/
output mode.
• For information about switching between the Math input/output mode and Linear input/
output mode, see the explanation of the “Input/Output” mode setting under “Using the Setup
Screen” (page 1-35).
• For information about input and display using the Math input/output mode, see “Using the
Math Input/Output Mode” (page 1-15).
u !x(')
The above indicates you should press ! and then x, which will input a ' symbol. All
multiple-key input operations are indicated like this. Key cap markings are shown, followed by
the input character or command in parentheses.
u m Equation
This indicates you should first press m, use the cursor keys (f, c, d, e) to select
the Equation mode, and then press w. Operations you need to perform to enter a mode
from the Main Menu are indicated like this.
u Function Keys and Menus
• Many of the operations performed by this calculator can be executed by pressing function
keys 1 through 6. The operation assigned to each function key changes according to
the mode the calculator is in, and current operation assignments are indicated by function
menus that appear at the bottom of the display.
v
0
• This User’s Guide shows the current operation assigned to a function key in parentheses
following the key cap for that key. 1(Comp), for example, indicates that pressing 1
selects {Comp}, which is also indicated in the function menu.
• When (g) is indicated in the function menu for key 6, it means that pressing 6 displays
the next page or previous page of menu options.
u Menu Titles
• Menu titles in this User’s Guide include the key operation required to display the menu
being explained. The key operation for a menu that is displayed by pressing K and then
{LIST} would be shown as: [OPTN]-[LIST].
• 6(g) key operations to change to another menu page are not shown in menu title key
operations.
u Command List
The Program Mode Command List (page 8-52) provides a graphic flowchart of the various
function key menus and shows how to maneuver to the menu of commands you need.
Example: The following operation displays Xfct: [VARS]-[FACTOR]-[Xfct]
k Display Brightness Adjustment
Adjust the brightness whenever objects on the display appear dim or difficult to see.
1. Use the cursor keys (f, c, d, e) to select the System icon and press w, then
press 1(DISPLAY) to display the brightness adjustment screen.
2. Adjust the brightness.
• The e cursor key makes display brightness lighter.
• The d cursor key makes display brightness darker.
• 1(INITIAL) returns display brightness to its initial default.
3. To exit display brightness adjustment, press m.
vi
Chapter 1 Basic Operation
1. Keys
1
k Key Table
Page
5-54
1-2
2-9
1-2
Page
Page
Page
5-8
5-5
5-52
1-30
1-34
1-31
1-35
1-3
2-17
2-16
2-17
2-16
5-56
1-18
2-16
2-23
2-23
2-1,
2-23
1-25,
2-23
2-16
2-1
2-1
Page
1-11
1-12
5-4,
5-15
Page
1-12
Page
2-1
1-1
Page
1-7,1-20
1-22
1-8
2-49
2-16
2-9
2-1
10-19
2-7
2-1
2-36
5-2,
5-35
2-16
10-21
1-39
3-3
Page
2-16
2-36
Page
Page
2-11
2-1
2-1
k Key Markings
Many of the calculator’s keys are used to perform more than one function. The functions
marked on the keyboard are color coded to help you find the one you need quickly and easily.
Function
Key Operation
1
log
l
2
10x
!l
3
B
al
The following describes the color coding used for key markings.
Color
•
Key Operation
Yellow
Press ! and then the key to perform the marked function.
Red
Press a and then the key to perform the marked function.
Alpha Lock
Normally, once you press a and then a key to input an alphabetic character, the keyboard
reverts to its primary functions immediately.
If you press ! and then a, the keyboard locks in alpha input until you press a again.
1-2
2. Display
k Selecting Icons
This section describes how to select an icon in the Main Menu to enter the mode you want.
u To select an icon
1. Press m to display the Main Menu.
2. Use the cursor keys (d, e, f, c) to move the
highlighting to the icon you want.
Currently selected icon
3. Press w to display the initial screen of the mode whose icon you selected.
• You can also enter a mode without highlighting an icon in the Main Menu by inputting the
number or letter marked in the upper right corner of the icon.
The following explains the meaning of each icon.
Icon
Mode Name
Description
Run-Matrix
Use this mode for arithmetic calculations, function calculations,
binary, octal, decimal, and hexadecimal calculations, matrix
calculations, and vector calculations.
Statistics
Use this mode to perform single-variable (standard deviation)
and paired-variable (regression) statistical calculations, to
perform tests, to analyze data and to draw statistical graphs.
eActivity
eActivity lets you input text, math expressions, and other data
in a notebook-like interface. Use this mode when you want to
store text or formulas, or built-in application data in a file.
Spreadsheet
Use this mode to perform spreadsheet calculations. Each file
contains a 26-column × 999-line spreadsheet. In addition to
the calculator’s built-in commands and Spreadsheet mode
commands, you can also perform statistical calculations and
graph statistical data using the same procedures that you use
in the Statistics mode.
Graph
Use this mode to store graph functions and to draw graphs
using the functions.
Dyna Graph
Use this mode to store graph functions and to draw multiple
versions of a graph by changing the values assigned to the
variables in a function.
(Dynamic Graph)
1-3
Icon
Mode Name
Description
Table
Use this mode to store functions, to generate a numeric table
of different solutions as the values assigned to variables in a
function change, and to draw graphs.
Recursion
Use this mode to store recursion formulas, to generate a
numeric table of different solutions as the values assigned to
variables in a function change, and to draw graphs.
Conic Graphs
Use this mode to draw graphs of conic sections.
Equation
Use this mode to solve linear equations with two through six
unknowns, and high-order equations from 2nd to 6th degree.
Program
Use this mode to store programs in the program area and to
run programs.
Financial
Use this mode to perform financial calculations and to draw
cash flow and other types of graphs.
E-CON4
Use this mode to control the optionally available Data Logger.
Link
Use this mode to transfer memory contents or back-up data to
another unit or PC.
Memory
Use this mode to manage data stored in memory.
System
Use this mode to initialize memory, adjust display brightness,
and to make other system settings.
Geometry
Use this mode to draw and analyze geometric objects.
Picture Plot*
Use this mode to plot points (that represent coordinates) on the
screen and to perform various types of analysis based on the
plotted data (coordinate values).
3D Graph
Use this mode to draw a 3-dimensional graph.
Conversion
This icon appears when the “Metric Conversion” add-in
application is installed. It is not a function mode icon. When
“Metric Conversion” is installed, this icon is displayed on the
CONVERT menu, which is part of the option (OPTN) menu.
For more information about the option (OPTN) menu, see page
1-30. For information about using the CONVERT menu, see
“Metric Conversion Calculations” (page 2-64).
* fx-CG50 AU/fx-CG20 AU Users: Install the Picture Plot add-in application.
1-4
k About the Function Menu
Use the function keys (1 to 6) to access the menus and commands in the menu bar
along the bottom of the display screen. You can tell whether a menu bar item is a menu or a
command by its appearance.
k Status Bar
The status bar is an area that displays messages and the current status of the calculator. It is
always displayed at the top of the screen.
• Icons are used to indicate the information described below.
This icon:
Indicates this:
The current battery level. The icons indicated (from left to right): Level 3,
Level 2, Level 1, Dead. See “Low Battery Message” (page 1-41) for more
information.
Important!
If the Level 1 icon ( ) appears, immediately replace the batteries. For
details about battery replacement, see the separate “Hardware User’s
Guide”.
Calculation in progress.
! key was pressed and the calculator is standing by for the next key
operation.
a key was pressed and the calculator is standing by for the next key
operation. The
icon indicates the lower-case input mode (eActivity
and Program modes only).
Alpha Lock (page 1-2) is in effect.
!i(CLIP) was pressed and the calculator is standing by for range
specification (page 1-11).
Setup “Input/Output” setting.
Setup “Angle” setting.
Setup “Display” setting.
Setup “Frac Result” setting.
Setup “Complex Mode” setting.
• For details about the Setup screen, see “Using the Setup Screen” (page 1-35).
• For information about other icons and messages that are specific to each application, see
the chapters that cover each application.
1-5
k About Display Screens
This calculator uses two types of display screens: a text screen and a graph screen. The
text screen can show 21 columns and 8 lines of characters, with the bottom line used for the
function key menu. The graph screen uses an area that measures 384 (W) × 216 (H) dots.
Text Screen
Graph Screen
k Normal Display
The calculator normally displays values up to 10 digits long. Values that exceed this limit are
automatically converted to and displayed in exponential format.
u How to interpret exponential format
b.c5bcw
This means that you should move the decimal point in 1.2 twelve places to the right, because
the exponent is positive. This results in the value 1,200,000,000,000.
b.c5-dw
This means that you should move the decimal point in 1.2 three places to the left, because the
exponent is negative. This results in the value 0.0012.
You can specify one of two different ranges for automatic changeover to normal display.
Norm 1 ................... 10–2 (0.01) > |x|, |x| > 1010
Norm 2 ................... 10–9 (0.000000001) > |x|, |x| > 1010
All of the examples in this manual show calculation results using Norm 1.
See page 2-13 for details on switching between Norm 1 and Norm 2.
Note
Exponential notation is expressed as “×1012”. However, exponential notation can also be
expressed as “E12” when space is limited, as in a spreadsheet.
1-6
k Special Display Formats
This calculator uses special display formats to indicate fractions, hexadecimal values, and
degrees/minutes/seconds values.
u Fractions
.................... Indicates: 456
12
23
u Hexadecimal Values
.................... Indicates: 0ABCDEF1(16), which equals
180150001(10)
u Degrees/Minutes/Seconds
.................... Indicates: 12° 34’ 56.78”
• In addition to the above, this calculator also uses other indicators or symbols, which are
described in each applicable section of this manual as they come up.
3. Inputting and Editing Calculations
k Inputting Calculations
When you are ready to input a calculation, first press A to clear the display. Next, input your
calculation formulas exactly as they are written, from left to right, and press w to obtain the
result.
Example
2 + 3 – 4 + 10 =
Ac+d-e+baw
k Editing Calculations
Use the d and e keys to move the cursor to the position you want to change, and then
perform one of the operations described below. After you edit the calculation, you can execute
it by pressing w. Or you can use e to move to the end of the calculation and input more.
• You can select either insert or overwrite for input*1. With overwrite, text you input replaces
the text at the current cursor location. You can toggle between insert and overwrite by
performing the operation: !D(INS). The cursor appears as “ ” for insert and as “ ” for
overwrite.
*1 Insert and overwrite switching is possible only when the Linear input/output mode (page
1-35) is selected.
1-7
u To change a step
Example
To change cos60 to sin60
Acga
ddd
D
s
u To delete a step
Example
To change 369 × × 2 to 369 × 2
Adgj**c
dD
In the insert mode, the D key operates as a backspace key.
u To insert a step
Example
To change 2.362 to sin2.362
Ac.dgx
ddddddd
s
k Parentheses Colors during Calculation Formula Input
Parentheses are color coded during input and editing of calculation formulas in order to make
it easier to confirm the proper relationship between opening and closing parentheses.
The following rules are applied when assigning parentheses colors.
• When there are nested parentheses, colors are assigned in sequence from the outermost
parentheses inward. Colors are assigned in the following sequence: blue, red, green,
magenta, black. When there are more than five nesting levels, the color sequence is
repeated starting from blue again.
1-8
• Inputting a closing parenthesis assigns it the same color as the corresponding opening
parenthesis.
• The parentheses of parenthetical expressions that are of the same level are the same color.
Executing a calculation causes the color of all parentheses to become black.
k Using Replay Memory
The last calculation performed is always stored into replay memory. You can recall the
contents of the replay memory by pressing d or e.
If you press e, the calculation appears with the cursor at the beginning. Pressing d causes
the calculation to appear with the cursor at the end. You can make changes in the calculation
as you wish and then execute it again.
• Replay memory is enabled in the Linear input/output mode only. In the Math input/output
mode, the history function is used in place of replay memory. For details, see “History
Function” (page 1-24).
Example 1
To perform the following two calculations
4.12 × 6.4 = 26.368
4.12 × 7.1 = 29.252
Ae.bc*g.ew
dddd
!D(INS)
h.b
w
1-9
After you press A, you can press f or c to recall previous calculations, in sequence from
the newest to the oldest (Multi-Replay Function). Once you recall a calculation, you can use
e and d to move the cursor around the calculation and make changes in it to create a new
calculation.
Example 2
Abcd+efgw
cde-fghw
A
f (One calculation back)
f (Two calculations back)
• A calculation remains stored in replay memory until you perform another calculation.
• The contents of replay memory are not cleared when you press the A key, so you can
recall a calculation and execute it even after pressing the A key.
k Making Corrections in the Original Calculation
Example
14 ÷ 0 × 2.3 entered by mistake for 14 ÷ 10 × 2.3
Abe/a*c.d
w
Press J.
Cursor is positioned automatically at the
location of the cause of the error.
Make necessary changes.
db
Execute again.
w
1-10
k Using the Clipboard for Copy and Paste
You can copy (or cut) a function, command, or other input to the clipboard, and then paste the
clipboard contents at another location.
Note
In the Math input/output mode, the copy (or cut) range you can specify is limited by the range
of movement of the cursor. In the case of parentheses, you can select any range within a
parenthetical expression or you can select the entire parenthetical expression.
u To specify the copy range
1. Move the cursor ( ) to the beginning or end of the range of text you want to copy and then
press !i(CLIP).
• This will cause
to appear in the status bar.
2. Use the cursor keys to move the cursor and highlight the range of text you want to copy.
3. Press 1(COPY) to copy the highlighted text to the clipboard, and exit the copy range
specification mode.
The selected characters are not
changed when you copy them.
To cancel text highlighting without performing a copy operation, press J.
u To cut the text
1. Move the cursor ( ) to the beginning or end of the range of text you want to cut and then
press !i(CLIP).
• This will cause
to appear in the status bar.
2. Use the cursor keys to move the cursor and highlight the range of text you want to cut.
3. Press 2(CUT) to cut the highlighted text to the clipboard.
Cutting causes the original
characters to be deleted.
1-11
u Pasting Text
Move the cursor to the location where you want to paste the text, and then press
!j(PASTE). The contents of the clipboard are pasted at the cursor position.
A
!j(PASTE)
k Catalog Function
The Catalog is a list of all the commands available on this calculator. You can input a
command by displaying the catalog screen and then selecting the desired command.
• Commands are divided into categories.
• Selecting the “1:ALL” category option displays all commands in alphabetical order.
u Selecting a Command in a Category
Commands are divided into categories. Except for the “1:ALL” category and certain
commands, most commands are displayed as text that indicates their functions. This method
is convenient when you do not know the name of the command you want to input.
1. Press !e(CATALOG) to display the catalog screen.
• The command list that was displayed the last time you used the catalog screen will appear
first.
2. Press 6(CAT) to display the category list.
3. Use f and c to select a category. (Do not select “1:ALL” here.)
• This displays a list of the commands contained in the selected category.
• If you select “2:Calculation” or “3:Statistics”, a sub-category selection screen will appear.
Use f and c to select a sub-category.
4. Use f and c to move the highlighting to the command you want to input and then press
1(INPUT) or w.
Note
• You can scroll between screens by pressing !f or !c.
1-12
Example:
To input the “FMax(” command, which determines a maximum value
A!e(CATALOG)6(CAT)
c1(EXE)
cc1(EXE)
cccccc
1(INPUT)
To close the catalog screen, press J or !J(QUIT).
u Searching for a Command
This method is helpful when you know the name of the command you want to input.
1. Press !e(CATALOG) to display the catalog screen.
2. Press 6(CAT) to display the category list.
3. Move the highlighting to “1:ALL” and then press 1(EXE) or w.
• This displays a list all the commands.
4. Input some of the letters in the command name.
• You can input up to eight letters.
• With each letter you input, the highlighting will move to the first command name that
matches.
5. After the command you want is highlighted, press 1(INPUT) or w.
1-13
Example:
To input the command “FMax(”
A!e(CATALOG)6(CAT)
1(EXE)t(F)h(M)
1(INPUT)
u Using the Command History
The calculator maintains a history of the last six commands you input.
1. Display one of the command lists.
2. Press 5(HISTORY).
• This displays the command history.
3. Use f and c to move the highlighting to the command you want to input and then press
1(INPUT) or w.
u QR Code Function
• You can use the QR Code function to access the online manual that covers commands.
Note that the online manual does not include all commands. Note that the QR Code function
cannot be used on the history screen.
• A QR Code* is displayed on the calculator screen. Use a smart device to read the QR Code
and display the online manual.
* QR Code is a registered trademark of DENSO WAVE INCORPORATED in Japan and in
other countries.
Important!
• The operations in this section assume that the smart device being used has a QR Code
reader installed, and it can connect to the Internet.
1-14
1. Select a command that is included in the online manual.
• This causes 2(QR) to appear in the function menu.
2. Press 2(QR).
• This displays a QR Code.
3. Use your smart device to read the displayed QR Code.
• This will display the online manual on your smart device.
• For information about how to read a QR Code, refer to the user documentation of your
smart device and the QR Code reader you are using.
• If you are having trouble reading the QR Code, use d and e to adjust display
brightness.
4. Press J to close the QR Code screen.
• To exit the Catalog function, press A or !J.
4. Using the Math Input/Output Mode
Selecting “Math” for the “Input/Output” mode setting on the Setup screen (page 1-35) turns on
the Math input/output mode, which allows natural input and display of certain functions, just as
they appear in your textbook.
• The operations in this section all are performed in the Math input/output mode. The initial
default setting for this calculator is the Math input/output mode. If you have changed to the
Linear input/output mode, switch back to the Math input/output mode before performing the
operations in this section. See “Using the Setup Screen” (page 1-35) for information about
how to switch modes.
• In the Math input/output mode, all input is insert mode (not overwrite mode) input. Note that
the !D(INS) operation (page 1-7) you use in the Linear input/output mode to switch to
insert mode input performs a completely different function in the Math input/output mode. For
more information, see “Using Values and Expressions as Arguments” (page 1-20).
• Unless specifically stated otherwise, all operations in this section are performed in the
Run-Matrix mode.
1-15
k Input Operations in the Math Input/Output Mode
u Math Input/Output Mode Functions and Symbols
The functions and symbols listed below can be used for natural input in the Math input/output
mode. The “Bytes” column shows the number of bytes of memory that are used up by input in
the Math input/output mode.
Function/Symbol
Key Operation
Bytes
Fraction (Improper)
'
9
Mixed Fraction*1
!'(&)
14
Power
M
4
Square
x
4
Negative Power (Reciprocal)
!)(x –1)
5
'
!x(')
6
Cube Root
!((3')
9
Power Root
!M(x')
9
ex
!I(ex)
6
10x
!l(10x)
6
log(a,b)
(Input from MATH menu*2)
7
Abs (Absolute Value)
(Input from MATH menu*2)
6
First Derivative
(Input from MATH menu*2)
7
Second Derivative
(Input from MATH menu*2)
7
Integral*3
(Input from MATH menu*2)
8
Σ Calculation*
4
2
(Input from MATH menu* )
11
Matrix, Vector
(Input from MATH menu*2)
14*5
Parentheses
( and )
1
Braces (Used during list input.)
!*( { ) and !/( } )
1
Brackets (Used during matrix/vector
input.)
!+( [ ) and !-( ] )
1
*1 Mixed fraction is supported in the Math input/output mode only.
*2 For information about function input from the MATH function menu, see “Using the MATH
Menu” described below.
*3 Tolerance cannot be specified in the Math input/output mode. If you want to specify
tolerance, use the Linear input/output mode.
*4 For Σ calculation in the Math input/output mode, the pitch is always 1. If you want to specify
a different pitch, use the Linear input/output mode.
*5 This is the number of bytes for a 2 × 2 matrix.
1-16
u Using the MATH Menu
In the Run-Matrix mode, pressing 4(MATH) displays the MATH menu.
You can use this menu for natural input of matrices, derivatives, integrals, etc.
• {MAT/VCT} ... displays the MAT/VCT submenu, for natural input of matrices/vectors
• {2×2} ... inputs a 2 × 2 matrix
• {3×3} ... inputs a 3 × 3 matrix
• {m×n} ... inputs a matrix/vector with m lines and n columns (up to 6 × 6)
• {2×1} ... inputs a 2 × 1 vector
• {3×1} ... inputs a 3 × 1 vector
• {1×2} ... inputs a 1 × 2 vector
• {1×3} ... inputs a 1 × 3 vector
• {logab} ... starts natural input of logarithm logab
• {Abs} ... starts natural input of absolute value |X|
d f(x)
x=a
dx
d2 f(x)x = a
2
2
• {d /dx } ... starts natural input of second derivative 2
dx
b
• {∫dx} … starts natural input of integral a f(x)dx
• {d/dx} ... starts natural input of first derivative
β
• {Σ(} … starts natural input of Σ calculation
Σ f(x)
α
x=α
u Math Input/Output Mode Input Examples
This section provides a number of different examples showing how the MATH function menu
and other keys can be used during Math input/output mode natural input. Be sure to pay
attention to the input cursor position as you input values and data.
Example 1
To input 23 + 1
AcM
d
e
+b
w
1-17
Example 2
(
To input 1+
2
5
)
2
A(b+
'
cc
f
e
)x
w
1
Example 3
To input 1+
0
x + 1dx
Ab+4(MATH)6(g)1(∫dx)
v+b
ea
fb
e
w
1-18
Example 4
To input 2 ×
1
2
2
2
1
2
Ac*4(MATH)1(MAT/VCT)1(2×2)
'bcc
ee
!x(')ce
e!x(')cee'bcc
w
u When the calculation does not fit within the display window
Arrows appear at the left, right, top, or bottom edge of the
display to let you know when there is more of the
calculation off the screen in the corresponding direction.
When you see an arrow, you can use the cursor keys to
scroll the screen contents and view the part you want.
1-19
u Math Input/Output Mode Input Restrictions
Certain types of expressions can cause the vertical width of a calculation formula to be greater
than one display line. The maximum allowable vertical width of a calculation formula is about
two display screens. You cannot input any expression that exceeds this limitation.
u Using Values and Expressions as Arguments
A value or an expression that you have already input can be used as the argument of a
function. After you have input “(2+3)”, for example, you can make it the argument of ',
resulting in (2+3).
Example
1. Move the cursor so it is located directly to the left of the part of the expression that you want
to become the argument of the function you will insert.
2. Press !D(INS).
• This changes the cursor to an insert cursor ( ).
3. Press !x(') to insert the ' function.
• This inserts the ' function and makes the parenthetical expression its argument.
As shown above, the value or expression to the right of the cursor after !D(INS) are
pressed becomes the argument of the function that is specified next. The range encompassed
as the argument is everything up to the first open parenthesis to the right, if there is one, or
everything up to the first function to the right (sin(30), log2(4), etc.).
1-20
This capability can be used with the following functions.
Function
Key Operation
Improper Fraction
'
Power
M
'
!x(')
Cube Root
!((3')
Power Root
!M(x')
ex
!I(ex)
10x
!l(10x)
log(a,b)
4(MATH)2(logab)
Absolute Value
4(MATH)3(Abs)
First Derivative
4(MATH)4(d/dx)
Second Derivative
4(MATH)5(d2/dx2)
Integral
4(MATH)6(g)
1(∫dx)
Σ Calculation
4(MATH)6(g)
2(Σ( )
Original
Expression
Expression After
Insertion
• In the Linear input/output mode, pressing !D(INS) will change to the insert mode. See
page 1-7 for more information.
u Editing Calculations in the Math Input/Output Mode
The procedures for editing calculations in the Math input/output mode are basically the same
as those for the Linear input/output mode. For more information, see “Editing Calculations”
(page 1-7).
Note however, that the following points are different between the Math input/output mode and
the Linear input/output mode.
• Overwrite mode input that is available in the Linear input/output mode is not supported by
the Math input/output mode. In the Math input/output mode, input is always inserted at the
current cursor location.
• In the Math input/output mode, pressing the D key always performs a backspace operation.
1-21
• Note the following cursor operations you can use while inputting a calculation with Math
input/output mode.
To do this:
Move the cursor from the end of the calculation to the beginning
Move the cursor from the beginning of the calculation to the end
Press this key:
e
d
k Using Undoing and Redoing Operations
You can use the following procedures during calculation expression input in the Math input/
output mode (up until you press the w key) to undo the last key operation and to redo the
key operation you have just undone.
- To undo the last key operation, press: aD(UNDO).
- To redo a key operation you have just undone, press: aD(UNDO) again.
• You also can use UNDO to cancel an A key operation. After pressing A to clear an
expression you have input, pressing aD(UNDO) will restore what was on the display
before you pressed A.
• You also can use UNDO to cancel a cursor key operation. If you press e during input and
then press aD(UNDO), the cursor will return to where it was before you pressed e.
• The UNDO operation is disabled while the keyboard is alpha-locked. Pressing
aD(UNDO) while the keyboard is alpha-locked will perform the same delete operation
as the D key alone.
Example
b+'be
D
aD(UNDO)
c
A
aD(UNDO)
1-22
k Math Input/Output Mode Calculation Result Display
Fractions, matrices, vectors, and lists produced by Math input/output mode calculations are
displayed in natural format, just as they appear in your textbook.
Sample Calculation Result Displays
• Fractions are displayed either as improper fractions or mixed fractions, depending on the
“Frac Result” setting on the Setup screen. For details, see “Using the Setup Screen” (page
1-35).
• Matrices are displayed in natural format, up to 6 × 6. A matrix that has more than six rows or
columns will be displayed on a MatAns screen, which is the same screen used in the Linear
input/output mode.
• Vectors are displayed in natural format up to 1 × 6, or 6 × 1. A vector that has more than six
rows or columns will be displayed on a VctAns screen, which is the same screen used in the
Linear input/output mode.
• Lists are displayed in natural format for up to 20 elements. A list that has more than 20
elements will be displayed on a ListAns screen, which is the same screen used in the Linear
input/output mode.
• Arrows appear at the left, right, top, or bottom edge of the display to let you know when there
is more data off the screen in the corresponding direction.
You can use the cursor keys to scroll the screen and view the data you want.
• Pressing 2(DELETE)1(DEL-LINE) while a calculation result is selected will delete both
the result and the calculation that produced it.
• The multiplication sign cannot be omitted immediately before an improper fraction or mixed
fraction. Be sure to always input a multiplication sign in this case.
2
Example: 2× 5
c*c'f
• A M, x, or !)(x–1) key operation cannot be followed immediately by another M,
x, or !)(x–1) key operation. In this case, use parentheses to keep the key operations
separate.
Example: (32)–1
(dx)!)(x–1)
1-23
k History Function
The history function maintains a history of calculation expressions and results in the Math
input/output mode. Up to 30 sets of calculation expressions and results are maintained.
b+cw
*cw
You can also edit the calculation expressions that are maintained by the history function and
recalculate. This will recalculate all of the expressions starting from the edited expression.
Example
To change “1+2” to “1+3” and recalculate
Perform the following operation following the sample shown above.
ffffdDdw
• You can get a rough idea of how many entries (calculation expressions and results) are
contained in history by checking the length of the scroll bar. A shorter bar indicates a greater
number of entries.
• The value stored in the answer memory is always dependent on the result produced by
the last calculation performed. If history contents include operations that use the answer
memory, editing a calculation may affect the answer memory value used in subsequent
calculations.
- If you have a series of calculations that use the answer memory to include the result of the
previous calculation in the next calculation, editing a calculation will affect the results of all
the other calculations that come after it.
- When the first calculation of the history includes the answer memory contents, the answer
memory value is “0” because there is no calculation before the first one in history.
1-24
k Calculation Operations in the Math Input/Output Mode
This section introduces Math input/output mode calculation examples.
• For details about calculation operations, see “Chapter 2 Manual Calculations”.
u Performing Function Calculations Using Math Input/Output Mode
Example
Operation
6 = 3
4 × 5 10
A6'4*5w
cos π = 1 (Angle: Rad)
3
2
Ac(!5(π)'3e)w
log28 = 3
A4(MATH)2(logab) 2e8w
7
A!M(x') 7e123w
( )
123 = 1.988647795
2 + 3 × 3 64 − 4 = 10
log
3
= 0.1249387366
4
A2+3*!M(x') 3e64e-4w
A4(MATH)3(Abs)l3'4w
2 + 3 1 = 73
5
4 20
A2'5e+3!'(()1e4w
1.5 + 2.3i = 3 + 23 i
2 10
A1.5+2.3!a(i)wf
d 3
2
dx ( x + 4x + x − 6 ) x = 3 = 52
A4(MATH)4(d/dx)vM3e+4
vx+v-6e3w
∫ 2x
A4(MATH)6(g)1(∫dx) 2vx+3v+4e1
e5w
5
2
1
6
∑ (k
k=2
2
+ 3 x + 4 dx = 404
3
)
− 3k + 5 = 55
A4(MATH)6(g)2(Σ)a,(K)x-3a,(K)
+5ea,(K)e2e6w
1-25
k Performing Matrix/Vector Calculations Using Math Input/Output Mode
u To specify the dimensions (size) of a matrix/vector
1. In the Run-Matrix mode, press !m(SET UP)1(Math)J.
2. Press 4(MATH) to display the MATH menu.
3. Press 1(MAT/VCT) to display the following menu.
• {2×2} … inputs a 2 × 2 matrix
• {3×3} … inputs a 3 × 3 matrix
• {m×n} … inputs an m-row × n-column matrix or vector (up to 6 × 6)
• {2×1} ... inputs a 2 × 1 vector
• {3×1} ... inputs a 3 × 1 vector
• {1×2} ... inputs a 1 × 2 vector
• {1×3} ... inputs a 1 × 3 vector
Example
To create a 2-row × 3-column matrix
3(m×n)
Specify the number of rows.
cw
Specify the number of columns.
dw
w
1-26
u To input cell values
Example
To perform the calculation shown below
1
1
33
2
×8
13
5
6
4
The following operation is a continuation of the example calculation on the previous page.
beb'ceedde
bd'eeefege
*iw
u To assign a matrix created using Math input/output mode to a specified
matrix memory
Example
To assign the calculation result to Mat J
!c(Mat)!-(Ans)a
!c(Mat)a)(J)w
• Pressing the D key while the cursor is located at the top (upper left) of the matrix will delete
the entire matrix.
D
⇒
1-27
k Using Graph Modes and the Equation Mode in the Math Input/Output
Mode
Using the Math input/output mode with any of the modes below lets you input numeric
expressions just as they are written in your textbook and view calculation results in natural
display format.
Modes that support input of expressions as they are written in textbooks:
Run-Matrix, eActivity, Graph, Dyna Graph, Table, Recursion, Equation (SOLVER)
Modes that support natural display format:
Run-Matrix, eActivity, Equation
The following explanations show Math input/output mode operations in the Graph,
Dyna Graph, Table, Recursion and Equation modes, and natural calculation result display in
the Equation mode.
• See the sections that cover each calculation for details about its operation.
• See “Input Operations in the Math Input/Output Mode” (page 1-16) and “Calculation
Operations in the Math Input/Output Mode” (page 1-25) for details about Math input/output
mode input operations and calculation result displays in the Run-Matrix mode.
• eActivity mode input operations and result displays are the same as those in the
Run-Matrix mode. For information about eActivity mode operations, see “Chapter 10
eActivity”.
u Math Input/Output Mode Input in the Graph Mode
You can use the Math input/output mode for graph expression input in the Graph,
Dyna Graph, Table, and Recursion modes.
Example 1
x
x2
In the Graph mode, input the function y = 2 − 2 −1 and then graph it.
' '
Make sure that initial default settings are configured on the View Window.
mGraphvx'!x(')c
ee-v'!x(')cee
-bw
6(DRAW)
1-28
Example 2
∫
x 1
In the Graph mode, input the function y =
x 2− 1 x −1 dx and then
0 4
2
graph it.
Make sure that initial default settings are configured on the View Window.
mGraphK2(CALC)3(∫dx)
b'eevx-b'ce
v-beaevw
6(DRAW)
• Math Input/Output Mode Input and Result Display in the Equation Mode
You can use the Math input/output mode in the Equation mode for input and display as shown
below.
• In the case of simultaneous equations (1(SIMUL)) and high-order equations (2(POLY)),
solutions are output in natural display format (fractions, ', π are displayed in natural format)
whenever possible.
• In the case of Solver (3(SOLVER)), you can use Math input/output mode natural input.
Example
To solve the quadratic equation x2 + 3x + 5 = 0 in the Equation mode
mEquation!m(SET UP)
cccc(Complex Mode)
2(a+bi)J
2(POLY)1(2)bwdwfww
1-29
5. Option (OPTN) Menu
The option menu gives you access to scientific functions and features that are not marked on
the calculator’s keyboard. The contents of the option menu differ according to the mode you
are in when you press the K key.
• The option menu does not appear if you press K while binary, octal, decimal, or
hexadecimal is set as the default number system.
• For details about the commands included on the option (OPTN) menu, see the “K key”
item in the “Program Mode Command List” (page 8-52).
• The meanings of the option menu items are described in the sections that cover each mode.
The following list shows the option menu that is displayed when the Run-Matrix or Program
mode is selected.
• {LIST} ... {list function menu}
• {MAT/VCT} ... {matrix/vector operation menu}
• {COMPLEX} ... {complex number calculation menu}
• {CALC} ... {functional analysis menu}
• {STAT} ... {menu for paired-variable statistical estimated value, distribution, standard
deviation, variance, and test functions}
• {CONVERT} ... {metric conversion menu}*
• {HYPERBL} ... {hyperbolic calculation menu}
• {PROB} ... {probability/distribution calculation menu}
• {NUMERIC} ... {numeric calculation menu}
• {ANGLE} ... {menu for angle/coordinate conversion, sexagesimal input/conversion}
• {ENG-SYM} ... {engineering symbol menu}
• {PICTURE} ... {graph save/recall menu}
• {FUNCMEM} ... {function memory menu}
• {LOGIC} ... {logic operator menu}
• {CAPTURE} ... {screen capture menu}
• {FINANCE} ... {financial calculation menu}
• The PICTURE, FUNCMEM and CAPTURE items are not displayed when “Math” is selected
for the “Input/Output” mode setting on the Setup screen.
* Metric conversion commands are supported only when the Metric Conversion add-in
application is installed.
1-30
6. Variable Data (VARS) Menu
To recall variable data, press J to display the variable data menu.
{V-WIN}/{FACTOR}/{STAT}/{GRAPH}/{DYNA}/{TABLE}/{RECURSION}/{EQUATION}/
{FINANCE}/{Str}
• Note that the EQUATION and FINANCE items appear for function keys (3 and 4) only
when you access the variable data menu from the Run-Matrix or Program mode.
• The variable data menu does not appear if you press J while binary, octal, decimal, or
hexadecimal is set as the default number system.
• For details about the commands included on the variable data (VARS) menu, see the “J
key” item in the “Program Mode Command List” (page 8-52).
u V-WIN — Recalling V-Window values
• {X}/{Y}/{T,} ... {x-axis menu}/{y-axis menu}/{T, menu}
• {R-X}/{R-Y}/{R-T,} ... {x-axis menu}/{y-axis menu}/{T, menu} for right side of Dual
Graph
• {min}/{max}/{scale}/{dot}/{pitch} ... {minimum value}/{maximum value}/{scale}/{dot
value*1}/{pitch}
*1 The dot value indicates the display range (Xmax value – Xmin value) divided by the
screen dot pitch. The dot value is normally calculated automatically from the
minimum and maximum values. Changing the dot value causes the maximum to be
calculated automatically.
u FACTOR — Recalling zoom factors
• {Xfct}/{Yfct} ... {x-axis factor}/{y-axis factor}
u STAT — Recalling statistical data
• {X} … {single-variable, paired-variable x-data}
• {n}/{x̄}/{Σx}/{Σx2}/{x}/{sx}/{minX}/{maxX} ... {number of data}/{mean}/{sum}/{sum
of squares}/{population standard deviation}/{sample standard deviation}/{minimum
value}/{maximum value}
• {Y} ... {paired-variable y-data}
• {}/{Σy}/{Σy2}/{Σxy}/{y}/{sy}/{minY}/{maxY} ... {mean}/{sum}/{sum of squares}/{sum
of products of x-data and y-data}/{population standard deviation}/{sample standard
deviation}/{minimum value}/{maximum value}
• {GRAPH} ... {graph data menu}
• {a}/{b}/{c}/{d}/{e} ... regression coefficient and polynomial coefficients
• {r}/{r2} ... {correlation coefficient}/{coefficient of determination}
• {MSe} ... {mean square error}
• {Q1}/{Q3} ... {first quartile}/{third quartile}
• {Med}/{Mod} ... {median}/{mode} of input data
• {Start}/{Pitch} ... histogram {start division}/{pitch}
1-31
• {PTS} ... {summary point data menu}
• {x1}/{y1}/{x2}/{y2}/{x3}/{y3} ... coordinates of summary points
• {INPUT} ... {statistical calculation input values}
• {n}/{x̄}/{sx}/{n1}/{n2}/{x̄1}/{x̄2}/{sx1}/{sx2}/{sp} ... {size of sample}/{mean of sample}/
{sample standard deviation}/{size of sample 1}/{size of sample 2}/{mean of sample 1}/
{mean of sample 2}/{standard deviation of sample 1}/{standard deviation of sample 2}/
{standard deviation of sample p}
• {RESULT} ... {statistical calculation output values}
• {TEST} ... {test calculation results}
• {p}/{z}/{t}/{Chi}/{F}/{ p̂}/{ p̂1}/{ p̂2}/{df}/{se}/{r}/{r 2}/{pa}/{Fa}/{Adf}/{SSa}/{MSa}/{pb}/{Fb}/
{Bdf}/{SSb}/{MSb}/{pab}/{Fab}/{ABdf}/{SSab}/{MSab}/{Edf}/{SSe}/{MSe}
... {p-value}/{z score}/{t score}/{χ2 value}/{F value}/{estimated sample proportion}/
{estimated proportion of sample 1}/{estimated proportion of sample 2}/{degrees of
freedom}/{standard error}/{correlation coefficient}/{coefficient of determination}/
{factor A p-value}/{factor A F value}/{factor A degrees of freedom}/{factor A sum of
squares}/{factor A mean squares}/{factor B p-value}/{factor B F value}/{factor B
degrees of freedom}/{factor B sum of squares}/{factor B mean squares}/{factor AB
p-value}/{factor AB F value}/{factor AB degrees of freedom}/{factor AB sum of
squares}/{factor AB mean squares}/{error degrees of freedom}/{error sum of
squares}/{error mean squares}
• {INTR} ... {confidence interval calculation results}
• {Lower}/{Upper}/{ p̂}/{ p̂1}/{ p̂2}/{df} ... {confidence interval lower limit}/{confidence
interval upper limit}/{estimated sample proportion}/{estimated proportion of
sample 1}/{estimated proportion of sample 2}/{degrees of freedom}
• {DIST} ... {distribution calculation results}
• {p}/{xInv}/{x1InvN}/{x2InvN}/{zLow}/{zUp}/{tLow}/{tUp} ... {probability distribution
or cumulative distribution calculation result (p-value)}/{inverse Student-t, χ2, F,
binomial, Poisson, geometric or hypergeometric cumulative distribution calculation
result}/{inverse normal cumulative distribution upper limit (right edge) or lower limit
(left edge)}/{inverse normal cumulative distribution upper limit (right edge)}/{normal
cumulative distribution lower limit (left edge)}/{normal cumulative distribution upper
limit (right edge)}/{Student-t cumulative distribution lower limit (left edge)}/{Student-t
cumulative distribution upper limit (right edge)}
u GRAPH — Recalling graph functions
• {Y}/{r} ... {rectangular coordinate function (Y=f(x) type)}/{polar coordinate function}
• {Xt}/{Yt} ... parametric graph function {Xt}/{Yt}
• {X} ... {rectangular coordinate function (X=f(y) type)}
• Press these keys before inputting a value to specify a memory area.
u DYNA — Recalling dynamic graph setup data
• {Start}/{End}/{Pitch} ... {coefficient range start value}/{coefficient range end value}/
{coefficient value increment}
1-32
u TABLE — Recalling table setup and content data
• {Start}/{End}/{Pitch} ... {table range start value}/{table range end value}/{table value
increment}
• {Result*1} ... {matrix of table contents}
*1 The Result item appears only when the TABLE menu is displayed in the Run-Matrix and
Program modes.
u RECURSION — Recalling recursion formula*1, table range, and table content
data
• {FORMULA} ... {recursion formula data menu}
• {an}/{an+1}/{an+2}/{bn}/{bn+1}/{bn+2}/{cn}/{cn+1}/{cn+2} ... {an}/{an+1}/{an+2}/{bn}/{bn+1}/{bn+2}/{cn}/
{cn+1}/{cn+2} expressions
• {RANGE} ... {table range data menu}
• {Start}/{End} ... table range {start value}/{end value}
• {a0}/{a1}/{a2}/{b0}/{b1}/{b2}/{c0}/{c1}/{c2} ... {a0}/{a1}/{a2}/{b0}/{b1}/{b2}/{c0}/{c1}/{c2} value
• {anStart}/{bnStart}/{cnStart} ... origin of {an}/{bn}/{cn} recursion formula convergence/
divergence graph (WEB graph)
• {Result*2} ... {matrix of table contents*3}
*1 An error occurs when there is no function or recursion formula numeric table in memory.
*2 “Result” is available only in the Run-Matrix and Program modes.
*3 Table contents are stored automatically in Matrix Answer Memory (MatAns).
u EQUATION — Recalling equation coefficients and solutions*1 *2
• {SimRes}/{SimCoef} ... matrix of {solutions*3}/{coefficients} for linear equations with two
through six unknowns*4
• {PlyRes}/{PlyCoef} ... matrix of {solution}/{coefficients} for high-order equations from 2nd
to 6th degree
*1 Coefficients and solutions are stored automatically in Matrix Answer Memory (MatAns).
*2 The following conditions cause an error.
- When there are no coefficients input for the equation
- When there are no solutions obtained for the equation
3
* When the “Infinitely Many Solutions” or “No Solution” message is displayed, the
calculation result is Rref (reduced row echelon form).
*4 Coefficient and solution memory data for a linear equation cannot be recalled at the same
time.
u FINANCE — Recalling financial calculation data
• {n}/{I%}/{PV}/{PMT}/{FV} ... {payment periods (installments)}/{annual interest rate}/
{present value}/{payment}/{future value}
• {P/Y}/{C/Y} ... {installment periods per year}/{compounding periods per year}
u Str — Str command
• {Str} ... {string memory}
1-33
7. Program (PRGM) Menu
To display the program (PRGM) menu, first enter the Run-Matrix or Program mode from the
Main Menu and then press !J(PRGM). The following are the selections available in the
program (PRGM) menu.
• The program (PRGM) menu items are not displayed when “Math” is selected for the “Input/
Output” mode setting on the Setup screen.
• {COMMAND} .....{program command menu}
• {CONTROL} ......{program control command menu}
• {JUMP} ...............{jump command menu}
• {?} ......................{input command}
• {^} ....................{output command}
• {CLEAR} ............{clear command menu}
• {DISPLAY} ........{display command menu}
• {RELATNL} .......{conditional jump relational operator menu}
• {I/O} ...................{I/O control/transfer command menu}
• {:} .......................{multi-statement command}
• {STR} .................{string command}
The following function key menu appears if you press !J(PRGM) in the Run-Matrix
mode or the Program mode while binary, octal, decimal, or hexadecimal is set as the default
number system.
• {Prog} .................{program recall}
• {JUMP}/{?}/{^}/{RELATNL}/{:}
The functions assigned to the function keys are the same as those in the Comp mode.
For details on the commands that are available in the various menus you can access from the
program menu, see “Chapter 8 Programming”.
1-34
8. Using the Setup Screen
The mode’s Setup screen shows the current status of mode settings and lets you make any
changes you want. The following procedure shows how to change a setup.
u To change a mode setup
1. Select the icon you want and press w to enter a mode and display its initial screen. Here
we will enter the Run-Matrix mode.
2. Press !m(SET UP) to display the mode’s Setup
screen.
• This Setup screen is just one possible example. Actual
Setup screen contents will differ according to the mode
you are in and that mode’s current settings.
3. Use the f and c cursor keys to move the highlighting to the item whose setting you
want to change.
4. Press the function key (1 to 6) that is marked with the setting you want to make.
5. After you are finished making any changes you want, press J to exit the Setup screen.
k Setup Screen Function Key Menus
This section details the settings you can make using the function keys in the Setup screen.
indicates default setting.
• The setting of each item with a frame around it is indicated by an icon in the status bar.
u Input/Output (input/output mode)
• {Math}/{Line} ... {Math}/{Linear} input/output mode
u Mode (calculation/binary, octal, decimal, hexadecimal mode)
• {Comp} ... {arithmetic calculation mode}
• {Dec}/{Hex}/{Bin}/{Oct} ... {decimal}/{hexadecimal}/{binary}/{octal}
u Frac Result (fraction result display format)
• {d/c}/{ab/c} ... {improper}/{mixed} fraction
1-35
u Func Type (graph function type)
Pressing one of the following function keys also switches the function of the v key.
• {Y=}/{r=}/{Parm}/{X=} ... {rectangular coordinate (Y= f (x) type)}/{polar coordinate}/
{parametric}/{rectangular coordinate (X= f (y) type)} graph
• {Y>}/{Y<}/{Yt}/{Ys} ... {y>f(x)}/{y}/{X<}/{Xt}/{Xs} ... {x>f(y)}/{x
6/(4*5)w
*1 Final closed parentheses (immediately before operation of the w key) may be omitted, no
matter how many are required.
k Number of Decimal Places, Number of Significant Digits, Normal
Display Range
[SET UP]- [Display] -[Fix] / [Sci] / [Norm]
• Even after you specify the number of decimal places or the number of significant digits,
internal calculations are still performed using a 15-digit mantissa, and displayed values are
stored with a 10-digit mantissa. Use Rnd of the Numeric Calculation Menu (NUMERIC) (page
2-14) to round the displayed value off to the number of decimal place and significant digit
settings.
• Number of decimal place (Fix) and significant digit (Sci) settings normally remain in effect
until you change them or until you change the normal display range (Norm) setting.
2-1
2
Example 1
100 ÷ 6 = 16.66666666...
Condition
Operation
Display
100/6w
16.66666667
4 decimal places
!m(SET UP) ff
1(Fix)ewJw
*1
16.6667
5 significant digits
!m(SET UP) ff
2(Sci)fwJw
*1×1001
1.6667
Cancels specification
!m(SET UP) ff
3(Norm)Jw
16.66666667
*1 Displayed values are rounded off to the place you specify.
Example 2
200 ÷ 7 × 14 = 400
Condition
Operation
3 decimal places
Display
200/7*14w
400
!m(SET UP) ff
1(Fix)dwJw
400.000
200/7w
*
14w
Calculation continues using
display capacity of 10 digits
28.571
Ans × I
400.000
• If the same calculation is performed using the specified number of digits:
200/7w
28.571
The value stored internally is
rounded off to the number of
decimal places specified on
the Setup screen.
K6(g)4(NUMERIC)4(Rnd)w
*
14w
28.571
Ans × I
399.994
200/7w
28.571
You can also specify the
number of decimal places for
rounding of internal values
for a specific calculation.
(Example: To specify
rounding to two decimal
places)
6(g)1(RndFix)!-(Ans),2)
w
*
14w
RndFix(Ans,2)
28.570
Ans × I
399.980
• You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value,
Solve, RndFix or logab calculation expression inside of a RndFix calculation term.
2-2
k Calculation Priority Sequence
This calculator employs true algebraic logic to calculate the parts of a formula in the following
order:
1 Type A functions
• Coordinate transformation Pol (x, y), Rec (r, θ)
• Functions that include parentheses (such as derivatives, integrations, Σ, etc.)
d/dx, d2/dx2, ∫dx, Σ, Solve, SolveN, FMin, FMax, List→Mat, Fill, Seq, SortA, SortD, Min,
Max, Median, Mean, Augment, Mat→List, DotP, CrossP, Angle, UnitV, Norm, P(, Q(, R(,
t(, RndFix, logab
• Composite functions*1, List, Mat, Vct, fn, Yn, rn, Xtn, Ytn, Xn
2 Type B functions
With these functions, the value is entered and then the function key is pressed.
x2, x–1, x!, ° ’ ”, ENG symbols, angle unit °, r, g
3 Power/root ^(xy), x'
4 Fractions a b/c
5 Implied multiplication format in front of π, memory name, or variable name.
2π, 5A, Xmin, F Start, etc.
6 Type C functions
With these functions, the function key is pressed and then the value is entered.
', 3', log, ln, ex, 10x, sin, cos, tan, sin–1, cos–1, tan–1, sinh, cosh, tanh, sinh–1, cosh–1,
tanh–1, (–), d, h, b, o, Neg, Not, Det, Trn, Dim, Identity, Ref, Rref, Sum, Prod, Cuml,
Percent, ΔList, Abs, Int, Frac, Intg, Arg, Conjg, ReP, ImP
7 Implied multiplication format in front of Type A functions, Type C functions, and parenthesis.
2'
3, A log2, etc.
8 Permutation, combination, complex number operator in polar form nPr, nCr, ∠
9 Metric conversion commands*2
0 ×, ÷, Int÷, Rmdr
! +, –
@ Relational operators =, ≠, >, <, ≥, ≤
# And (logical operator), and (bitwise operator)
$ Or, Xor (logical operator), or, xor, xnor (bitwise operator)
*1 You can combine the contents of multiple function memory (fn) locations or graph memory
(Yn, rn, Xtn, Ytn, Xn) locations into composite functions. Specifying fn1(fn2), for example,
results in the composite function fn1°fn2 (see page 5-14). A composite function can consist
of up to five functions.
*2 Metric conversion commands are supported only when the Metric Conversion add-in application
is installed.
2-3
Example
2 + 3 × (log sin2π2 + 6.8) = 22.07101691 (angle unit = Rad)
1
2
3
4
5
6
• When functions with the same priority are used in series, execution is performed from right to
left.
exln 120 → ex{ln( 120)}
Otherwise, execution is from left to right.
• Compound functions are executed from right to left.
• Anything contained within parentheses receives highest priority.
k Calculation Result Irrational Number Display
You can configure the calculator to display calculation results in irrational number format
(including ' or π) by selecting “Math” for the “Input/Output” mode setting on the Setup
screen.
Example
'
2+'
8 = 3'
2
(Input/Output: Math)
!x(')ce+!x(')iw
u Calculation Result Display Range with '
Display of a calculation result in ' format is supported for result with ' in up to two terms.
Calculation results in ' format take one of the following forms.
b ± d'
e
± a'
b, ± d ± a'
b, ± a'
c
f
• The following are the ranges for each of the coefficients (a, b, c, d, e, f) can be displayed in
the ' calculation result format.
1 < a < 100, 1 < b < 1000, 1 < c < 100
0 < d < 100, 0 < e < 1000, 1 < f < 100
• In the cases shown below, a calculation result may be able to be displayed in ' format
even if their coefficients (a, c, d) are outside the above ranges.
A ' format calculation result uses a common denominator.
b + d´'
e
a'
b + d'
e → a´'
c´
c
f
* c´ is the least common multiple of c and f.
2-4
Since the calculation result uses a common denominator, calculation result still may
be displayed using the ' format even when coefficients (a´, c´, d´) are outside the
corresponding range of coefficients (a, c, d).
Example:
3 + 11'
2
3 '
2 10'
'
+
=
110
11 10
Calculation Examples
This calculation:
Produces this type of display:
2 × (3 – 2'
5) = 6 – 4'
5
' format
35'
2 × 3 = 148.492424 (= 105 '
2)*1
Decimal format
150'
2
= 8.485281374*1
25
3)*1
23 × (5 – 2'
3) = 35.32566285 (= 115 – 46'
Decimal format
'
2+'
3+'
8='
3 + 3'
2
' format
2+'
3+'
6 = 5.595754113*2
'
Decimal format
*1 Decimal format because values are outside of range.
*2 Decimal format because calculation result has three terms.
• The calculation result is displayed using decimal format even if an intermediate result goes
greater than two terms.
Example: (1 + '
2+'
3) (1 – '
2–'
3)
(= – 4 – 2'
6)
= –8.898979486
• If the calculation formula has a ' term and a term that cannot be displayed as a fraction,
the calculation result will be displayed in decimal format.
Example: log3 + '
2 = 1.891334817
u Calculation Result Display Range with π
A calculation results is displayed using π format in the following cases.
• When the calculation result can be displayed in the form nπ
n is an integer up to |106|.
b
b
π or
π
c
c
However, {number of a digits + number of b digits + number of c digits} must be 8 or less
b
b
when the above a or
is reduced.*1*2 Also, the maximum number of allowable c digits is
c
c
2
• When the calculation result can be displayed in the form a
three.*
*1 When c < b, the number of a, b, and c digits are counted when the fraction is converted
from an improper fraction ( b ) to a mixed fraction (a
c
2
b
).
c
* When “Manual” is specified for the Setup screen “Simplify” setting, the calculation result
may be displayed in decimal format, even if these conditions are met.
2-5
Calculation Examples
This calculation:
Produces this type of display:
78π × 2 = 156π
π format
123456π × 9 = 3490636.164 (= 11111104 π)*3
Decimal format
105
2
568
71
π = 105
π
824
103
π format
258
π = 6.533503684
3238
2
129
π *4
1619
Decimal format
*3 Decimal format because calculation result integer part is |106| or greater.
*4 Decimal format because number of denominator digits is four or greater for the a
b
π form.
c
k Multiplication Operations without a Multiplication Sign
You can omit the multiplication sign (×) in any of the following operations.
• Before Type A functions (1 on page 2-3) and Type C functions (6 on page 2-3), except for
negative signs
Example 1
3, 2Pol(5, 12), etc.
2sin30, 10log1.2, 2'
• Before constants, variable names, memory names
Example 2
2π, 2AB, 3Ans, 3Y1, etc.
• Before an open parenthesis
Example 3
3(5 + 6), (A + 1)(B – 1), etc.
If you execute a calculation that includes both division and multiplication operations in which
a multiplication sign has been omitted, parentheses will be inserted automatically as shown in
the examples below.
• When a multiplication sign is omitted immediately before an open parenthesis or after a
closed parenthesis.
Example 1
6 ÷ 2(1 + 2) →
6 ÷ (2(1 + 2))
6 ÷ A(1 + 2) →
6 ÷ (A(1 + 2))
1 ÷ (2 + 3)sin30 →
1 ÷ ((2 + 3)sin30)
• When a multiplication sign is omitted immediately before a variable, a constant, etc.
Example 2
6 ÷ 2π →
2 ÷ 2'
2 →
4π ÷ 2π
6 ÷ (2π)
2 ÷ (2'
2)
→ 4π ÷ (2π)
2-6
If you execute a calculation in which a multiplication sign has been omitted immediately before
a fraction (including mixed fractions), parentheses will be inserted automatically as shown in
the examples below.
1
1
): 2
3
3
Example
(2 ×
Example
(sin 2 ×
4
):
5
→ 2
sin 2
4
5
( 13 )
→
sin 2
( 45 )
k Overflow and Errors
Exceeding a specified input or calculation range, or attempting an illegal input causes an error
message to appear on the display. Further operation of the calculator is impossible while an
error message is displayed. For details, see the “Error Message Table” on page α-1.
• Most of the calculator’s keys are inoperative while an error message is displayed. Press J
to clear the error and return to normal operation.
k Memory Capacity
Each time you press a key, either one byte or two bytes is used. Some of the functions that
require one byte are: b, c, d, sin, cos, tan, log, ln, ', and π.
Some of the functions that take up two bytes are d/dx(, Mat, Vct, Xmin, If, For, Return,
DrawGraph, SortA(, PxIOn, Sum, and an+1.
• The required number of bytes to input functions and commands is different in the Linear
input/output mode and the Math input/output mode. For details about the number of bytes
required for each function in the Math input/output mode, see page 1-16.
2. Special Functions
k Calculations Using Variables
Example
Operation
Display
193.2aav(A)w
193.2
193.2 ÷ 23 = 8.4
av(A)/23w
8.4
193.2 ÷ 28 = 6.9
av(A)/28w
6.9
k Memory
u Variables (Alpha Memory)
This calculator comes with 28 variables as standard. You can use variables to store values
you want to use inside of calculations. Variables are identified by single-letter names, which
are made up of the 26 letters of the alphabet, plus r and θ. The maximum size of values that
you can assign to variables is 15 digits for the mantissa and 2 digits for the exponent.
• Variable contents are retained even when you turn power off.
2-7
u To assign a value to a variable
[value] a [variable name] w
Example 1
To assign 123 to variable A
Abcdaav(A)w
Example 2
To add 456 to variable A and store the result in variable B
Aav(A)+efga
al(B)w
• You can input an X variable by pressing a+(X) or v. Pressing a+(X) will input X,
while pressing v will input x. Values assigned to X and x are stored in the same memory
area.
Example 3
Assign 10 to x and then assign 5 to X. Next, check what is assigned to
x.
Abaavw
faa+(X)w
vw
u To assign the same value to more than one variable
[value]a [first variable name] ~ [last variable name]w
• You cannot use “r” or “θ ” as a variable name.
Example
To assign a value of 10 to variables A through F
Abaaav(A)
!e(CATALOG)6(CAT)cccc
1(EXE)
ff
1(INPUT)at(F)w
u String Memory
You can store up to 20 strings (named Str 1 to Str 20) in string memory. Stored strings can be
output to the display or used inside functions and commands that support the use of strings as
arguments.
For details about string operations, see “Strings” (page 8-25).
2-8
Example
To assign string “ABC” to Str 1 and then output Str 1 to the display
!m(SET UP)2(Line)J
A!a( A -LOCK)5(”)v(A)
l(B)I(C)5(”)a(Releases Alpha Lock.)
aJ6(g)5(Str)bw
5(Str)bw
String is displayed justified left.
• Perform the above operation in the Linear input/output mode. It cannot be performed in the
Math input/output mode.
u Function Memory
[OPTN]-[FUNCMEM]
Function memory is convenient for temporary storage of often-used expressions. For longer
term storage, we recommend that you use the Graph mode for expressions and the Program
mode for programs.
• {STORE}/{RECALL}/{fn}/{SEE} ... {function store}/{function recall}/{function area
specification as a variable name inside an expression}/{function list}
u To store a function
Example
To store the function (A+B) (A–B) as function memory number 1
!m(SET UP)2(Line)J
A(av(A)+al(B))
(av(A)-al(B))
K6(g)6(g)3(FUNCMEM)
1(STORE)bw
JJJ
• If the function memory number to which you store a function already contains a function, the
previous function is replaced with the new one.
• You can also use a to store a function in function
memory in a program. In this case, you must enclose the
function inside of double quotation marks.
2-9
u To recall a function
Example
To recall the contents of function memory number 1
AK6(g)6(g)3(FUNCMEM)
2(RECALL)bw
• The recalled function appears at the current location of the cursor on the display.
u To recall a function as a variable
Example
To recall the contents of function memory number 1 as a variable
Adaav(A)w
baal(B)w
K6(g)6(g)3(FUNCMEM)3(fn)
b+cw
u To display a list of available functions
K6(g)6(g)3(FUNCMEM)
4(SEE)
u To delete a function
Example
To delete the contents of function memory number 1
A
K6(g)6(g)3(FUNCMEM)
1(STORE)bw
• Executing the store operation while the display is blank deletes the function in the function
memory you specify.
2-10
k Answer Function
The Answer Function automatically stores the last result you calculated by pressing w
(unless the w key operation results in an error). The result is stored in the answer memory.
• The largest value that the answer memory can hold is 15 digits for the mantissa and 2 digits
for the exponent.
• Answer memory contents are not cleared when you press the A key or when you switch
power off.
u To use the contents of the answer memory in a calculation
Example
123 + 456 = 579
789 – 579 = 210
Abcd+efgw
hij-!-(Ans)w
• Performing an operation that assigns a value to an Alpha memory (such as
faal(B)w), answer memory contents are updated in the Math input/output mode
but not in the Linear input/output mode.
k Performing Continuous Calculations
Answer memory also lets you use the result of one calculation as one of the arguments in the
next calculation.
Example
1÷3=
1÷3×3=
Ab/dw
(Continuing)*dw
Continuous calculations can also be used with Type B functions (x2, x–1, x!, on page 2-3), +, –,
^(xy), x', ° ’ ”, etc.
2-11
3. Specifying the Angle Unit and Display Format
Before performing a calculation, you should use the Setup screen to specify the angle unit and
display format.
k Setting the Angle Unit
[SET UP]- [Angle]
1. On the Setup screen, highlight “Angle”.
2. Press the function key for the angle unit you want to specify, then press J.
• {Deg}/{Rad}/{Gra} ... {degrees}/{radians}/{grads}
• The relationship between degrees, grads, and radians is shown below.
360° = 2π radians = 400 grads
90° = π/2 radians = 100 grads
k Setting the Display Format
[SET UP]- [Display]
1. On the Setup screen, highlight “Display”.
2. Press the function key for the item you want to set, then press J.
• {Fix}/{Sci}/{Norm}/{Eng} ... {fixed number of decimal places specification}/
{number of significant digits specification}/{normal display}/{Engineering mode}
u To specify the number of decimal places (Fix)
Example
To specify two decimal places
1(Fix)cw
Press the number key that corresponds to the number of decimal places you want to specify
(n = 0 to 9).
• Displayed values are rounded off to the number of decimal places you specify.
2-12
u To specify the number of significant digits (Sci)
Example
To specify three significant digits
2(Sci)dw
Press the number key that corresponds to the number of significant digits you want to specify
(n = 0 to 9). Specifying 0 makes the number of significant digits 10.
• Displayed values are rounded off to the number of significant digits you specify.
u To specify the normal display (Norm 1/Norm 2)
Press 3(Norm) to switch between Norm 1 and Norm 2.
Norm 1: 10–2 (0.01) > |x|, |x| >1010
Norm 2: 10–9 (0.000000001) > |x|, |x| >1010
u To specify the engineering notation display (Eng mode)
Press 4(Eng) to switch between engineering notation and standard notation. The indicator
“/E” is on the display while engineering notation is in effect.
You can use the following symbols to convert values to engineering notation, such as 2,000
(= 2 × 103) → 2k.
E (Exa)
× 1018
m (milli)
× 10–3
P (Peta)
× 1015
μ (micro)
× 10–6
T (Tera)
× 1012
n (nano)
× 10–9
G (Giga)
× 109
p (pico)
× 10–12
M (Mega)
× 106
f (femto)
× 10–15
k (kilo)
× 103
• The engineering symbol that makes the mantissa a value from 1 to 1000 is automatically
selected by the calculator when engineering notation is in effect.
2-13
4. Function Calculations
k Function Menus
This calculator includes five function menus that give you access to scientific functions not
printed on the key panel.
• The contents of the function menu differ according to the mode you entered from the Main
Menu before you pressed the K key. The following examples show function menus that
appear in the Run-Matrix or Program mode.
u Hyperbolic Calculations (HYPERBL)
[OPTN]-[HYPERBL]
• {sinh}/{cosh}/{tanh} ... hyperbolic {sine}/{cosine}/{tangent}
• {sinh–1}/{cosh–1}/{tanh–1} ... inverse hyperbolic {sine}/{cosine}/{tangent}
u Probability/Distribution Calculations (PROB)
[OPTN]-[PROB]
• {x!} ... press after inputting a value to obtain the factorial of the value
• {nPr}/{nCr} ... {permutation}/{combination}
• {RAND} ... {random number generation}
• {Ran#}/{Int}/{Norm}/{Bin}/{List}/{Samp} ... {random number generation (0 to 1)}/{random
integer generation}/{random number generation in accordance with normal distribution
based on mean and standard deviation }/{random number generation in accordance
with binomial distribution based on number of trials n and probability p}/{random number
generation (0 to 1) and storage of result in ListAns}/{random extraction of list data
elements and storage of result in ListAns}
• {P(}/{Q(}/{R(} ... normal probability {P(t)}/{Q(t)}/{R(t)}
• {t(} ... {value of normalized variate t(x)}
u Numeric Calculations (NUMERIC)
[OPTN]-[NUMERIC]
• {Abs} ... select this item and input a value to obtain the absolute value of the value
• {Int}/{Frac} ... select the item and input a value to extract the {integer}/{fraction} part.
• {Rnd} ... rounds off the value used for internal calculations to 10 significant digits (to match
the value in the answer memory), or to the number of decimal places (Fix) and number
of significant digits (Sci) specified by you
• {Intg} ... select this item and input a value to obtain the largest integer that is not greater
than the value
• {RndFix} ... rounds off the value used for internal calculations to specified digits (0 to 9) (see
page 2-2)
• {GCD} ... {greatest common divisor for two values}
• {LCM} ... {least common multiple for two values}
• {MOD} ... {remainder of division (remainder output when n is divided by m)}
• {MOD_Exp} ... {remainder when division is performed on a power value (remainder output
when n is raised to p power and then divided by m)}
2-14
u Angle Units, Coordinate Conversion, Sexagesimal Operations (ANGLE)
[OPTN]-[ANGLE]
• {°}/{r}/{g} ... {degrees}/{radians}/{grads} for a specific input value
• {° ’ ”} ... specifies degrees (hours), minutes, seconds when inputting a degrees/minutes/
seconds value
• {° ’ ”} ... converts decimal value to degrees/minutes/seconds value
• The {° ’ ”} menu operation is available only when there is a calculation result on the display.
• {Pol(}/{Rec(} ... {rectangular-to-polar}/{polar-to-rectangular} coordinate conversion
• {'DMS} ... converts decimal value to sexagesimal value
u Engineering Symbol (ENG-SYM)
[OPTN]-[ENG-SYM]
• {m}/{}/{n}/{p}/{f} ... {milli (10–3)}/{micro (10–6)}/{nano (10–9)}/{pico (10–12)}/{femto (10–15)}
• {k}/{M}/{G}/{T}/{P}/{E} ... {kilo (103)}/{mega (106)}/{giga (109)}/{tera (1012)}/{peta (1015)}/
{exa (1018)}
• {ENG}/{ENG} ... shifts the decimal place of the displayed value three digits to the {left}/{right}
and {decreases}/{increases} the exponent by three.
When you are using engineering notation, the engineering symbol is also changed
accordingly.
• The {ENG} and {ENG} menu operations are available only when there is a calculation
result on the display.
k Angle Units
• Be sure to specify Comp for Mode in the Setup screen.
Example
Operation
To convert 4.25 rad to degrees:
243.5070629
!m(SET UP)cccccc1(Deg)J
4.25K6(g)5(ANGLE)2(r)w
47.3° + 82.5rad = 4774.20181°
47.3+82.5K6(g)5(ANGLE)2(r)w
2°20´30˝ + 39´30˝ = 3°00´00˝
2K6(g)5(ANGLE)4(° ’ ”) 204(° ’ ”) 30
4(° ’ ”)+04(° ’ ”)394(° ’ ”) 304(° ’ ”)w
5(° ’ ”)
2.255° = 2°15´18˝
2.255K6(g)5(ANGLE)6(g)3('DMS)w
2-15
k Trigonometric and Inverse Trigonometric Functions
• Be sure to set the angle unit before performing trigonometric function and inverse
trigonometric function calculations.
π
radians = 100 grads)
2
• Be sure to specify Comp for Mode in the Setup screen.
(90° =
Example
Operation
1
cos ( π rad) =
(0.5)
3
2
!m(SET UP)cccccc2(Rad)J
c'!5(π)c3w
c(!5(π)/3)w
2 • sin 45° × cos 65° = 0.5976724775
!m(SET UP)cccccc1(Deg)J
2*s45*c65w*1
sin–10.5 = 30°
(x when sinx = 0.5)
!s(sin–1) 0.5*2w
*1 * can be omitted.
*2 Input of leading zero is not necessary.
k Logarithmic and Exponential Functions
• Be sure to specify Comp for Mode in the Setup screen.
Example
Operation
log 1.23 (log101.23) = 0.08990511144 l1.23w
log28 = 3
4(MATH)2(logab) 2e8w
K4(CALC)6(g)4(logab) 2,8)w
101.23 = 16.98243652
(To obtain the antilogarithm of
common logarithm 1.23)
!l(10x) 1.23w
e4.5 = 90.0171313
!I(ex) 4.5w
(To obtain the antilogarithm of
natural logarithm 4.5)
(–3)4 = (–3) × (–3) × (–3) × (–3) = 81
7
1
7
123 (= 123 ) = 1.988647795
(-3)M4w
!M(x') 7e123w
7!M(x')123w
• The Linear input/output mode and Math input/output mode produce different results when
two or more powers are input in series, like: 2 M 3 M 2.
Linear input/output mode: 2^3^2 = 64
2
Math input/output mode: 23 = 512
This is because the Math input/output mode internally treats the above input as: 2^(3^(2)).
2-16
k Hyperbolic and Inverse Hyperbolic Functions
• Be sure to specify Comp for Mode in the Setup screen.
Example
sinh 3.6 = 18.28545536
cosh–1
20
= 0.7953654612
15
Operation
K6(g)2(HYPERBL)1(sinh) 3.6w
K6(g)2(HYPERBL)5(cosh–1)'20c15w
K6(g)2(HYPERBL)5(cosh–1)(20
/15)w
k Other Functions
• Be sure to specify Comp for Mode in the Setup screen.
Example
Operation
'
2 +'
5 = 3.65028154
!x(') 2e+!x(') 5wf
!x(') 2+!x(')5w
(–3)2 = (–3) × (–3) = 9
(-3)xw
1
–––––– = 12
1
1
–– – ––
3
4
(3!)(x−1)-4!)(x−1)
)!)(x−1)w
8! (= 1 × 2 × 3 × .... × 8) = 40320
8K6(g)3(PROB)1(x!)w
3
!((3') 36*42*49w
!((3')(36*42*49)w
36 × 42 × 49 = 42
What is the absolute value of the
common logarithm of 3 ?
4
3
| log 4 | = 0.1249387366
4(MATH)3(Abs)l'3c4w
K6(g)4(NUMERIC)1(Abs)l(3/
4)w
What is the integer part of – 3.5?
–3
K6(g)4(NUMERIC)2(Int)-3.5w
What is the decimal part of – 3.5?
– 0.5
K6(g)4(NUMERIC)3(Frac)-3.5w
What is the nearest integer not
exceeding – 3.5?
–4
K6(g)4(NUMERIC)5(Intg)-3.5w
2-17
k Random Number Generation (RAND)
u Random Number Generation (0 to 1) (Ran#, RanList#)
Ran# and RanList# generate 10 digit random numbers randomly or sequentially from 0 to 1.
Ran# returns a single random number, while RanList# returns multiple random numbers in list
form. The following shows the syntaxes of Ran# and RanList#.
Ran# [a]
10
1 < n < 999
• Omitting a value for n returns a generated random number as-is. Specifying a value for n
returns the specified number of random values in list form.
Example
Operation
RanNorm# (8, 68)
(Randomly produces a body length value
obtained in accordance with the normal
distribution of a group of infants less than
one year old with a mean body length of
68cm and standard deviation of 8.)
K6(g)3(PROB)4(RAND)3(Norm)
8,68)w
RanNorm# (8, 68, 5)
(Randomly produces the body lengths of five
infants in the above example, and displays
them in a list.)
K6(g)3(PROB)4(RAND)3(Norm)
8,68,5)w
u Random Number Generation in Accordance with Binomial Distribution
(RanBin#)
This function generates random integers in accordance with binomial distribution based on
values specified for the number of trials n and probability p.
RanBin# (n, p [,m])
1 < n < 100000
1 < m < 999
0