Canon F 789SGA (ASA HB) English Front (revised) User Manual To The 1146703a 80a7 42ad b932 8630ee86ec30

ENGLISH

F-789SGA

SCIENTIFIC CALCULATOR

USER INSTRUCTIONS

E-IE-455

1

Contents

Display ...............................................................................................................P.2

Getting Started

Power On, Off ...........................................................................................P.3

Display Contrast Adjustment.....................................................................P.3

Mode Selection ..................................................................................... P.3-4

Application Function Menu (Apps Key) ................................................. P.4-5

Calculator Set-up Menu ........................................................................ P.5-7

Before Using the Calculator ......................................................................P.7

Inputting Expressions and Values

Input Capacity ...........................................................................................P.8

Input Editing.......................................................................................... P.8-10

Inputting and Display Result in Mathematics Mode...................................P.10

Input Range and Error Messages

Calculation Precision, Input Range ................................................... P.10-13

Order of Operations .......................................................................... P.14-15

Calculation Stacks...................................................................................P.15

Error Messages and Error Locator.................................................... P.15-16

Basic Calculations

Arithmetic Calculations............................................................................P.17

Memory Calculations......................................................................... P.17-18

Fraction Calculations...............................................................................P.19

Display Values Exchange ......................................................................P.20

Percentage Calculations .........................................................................P.21

Degree-Minutes-Seconds Calculations...................................................P.21

Replay & Multi-statements ......................................................................P.22

Constant Value Calculations ............................................................. P.23-26

Metric Conversions ........................................................................... P.27-28

Functional Scientific Calculations

Square, Root, Cube, Cube Root, Power, Power Root,

Reciprocal and Pi ....................................................................................P.28

Logarithm, Natural Logarithm, Antilogarithm and Logab.........................P.29

Angle Unit Conversion ............................................................................P.29

Trigonometry Calculations ......................................................................P.30

Permutation, Combination, Factorials and Random

Number Generation.................................................................................P.31

Produce (�) Calculation ..........................................................................P.32

Summation (∑) Calculation ....................................................................P.32

Maximum Value and Minimum Value Calculation ..................................P.32

Modulus After Division (Mod) Calculations ............................................P.33

Least Common Multiple and Greatest Common Divisor.......................... P.33

Prime Fractorization ................................................................................P.34

Quotient and Remainder Calculations ....................................................P.35

Coordinate Conversion ..................................................................... P.35-36

Absolute Value Calculation .....................................................................P.36

Engineering Notation...............................................................................P.36

Complex Number Calculations.......................................................... P.37-38

Base-n Calculations and Logical Calculations ........................................P.39

Statistical Calculations

Statistical Type Selection ........................................................................P.40

Statistical Data Input ...............................................................................P.41

Editing Statistical Sample Data ...............................................................P.41

Statistical Calculation Screen..................................................................P.42

Statistical Menu................................................................................. P.42-43

Statistical Calculation Example ......................................................... P.44-45

Distribution Calculations.................................................................... P.45-46

Equation Calculations............................................................................... P.47-49

Solve Function........................................................................................... P.49-50

CALC Function .......................................................................................... P.50-51

Differential Calculations ........................................................................... P.51-52

Integration Calculations ........................................................................... P.52-53

Matrix Calculations ................................................................................... P.53-58

Vector Calculations................................................................................... P.58-62

Function (x, y) Table Calculation ..................................................................P.63

Battery Replacement.......................................................................................P.64

Advice and Precautions ........................................................................... P.64-65

Specifications .................................................................................................P.65

2

Display

How to Use the Slide Cover

Open or close the cover by sliding

as shown in the figure.

S : Shift key

A : Alpha key

M : Independent Memory

STO : Store Memory

RCL : Recall Memory

STAT : 1-Var & 2-Var Statistics Mode

CPLX : Complex Number Calculation Mode

MATX : Matrix Calculation Mode

VCTR : Vector Calculation Mode

EQN : Equation Calculation Mode

D : Degree Mode

R : Radian Mode

G : Gradient Mode

FIX : Fixed-decimal Setting

SCI : Scientific Notation

LINE : Line Display Mode

: Up Arrow

: Down Arrow

Disp : Multi-statements Display

3

Getting Started

Power On, Off

First time operation:

1. Remove the battery insulation tab to load the battery.

2. Press to initialize the

calculator.

Power ON: When is pressed.

Power OFF: are pressed.

Auto Power off Function:

When the calculator is not used for approximately 7

minutes, it will automatically power off.

Display Contrast Adjustment

Press (6: CONT ), to enter the

Display Contrast Adjustment screen.

Press to darken the display contrast.

Press to lighten the display contrast.

Press or to confirm and clear the screen.

To initialize the LCD contrast, press

outside the Display Contrast Adjustment screen.

Mode Selection

Press to enter the Calculation Mode Selection

screen.

4

Application Function Menu (Apps Key)

The Apps menu contains mathematical functions. In each

Calculation Mode, the listed functions are different.

Press and corresponding number to enter the calculation

mode.

Press to enter the Apps menu.

Press / for next / previous pages.

iii) STAT Mode

In SD mode In REG mode

The default mode is COMP mode.

Apps

i) COMP Mode ii) CPLX Mode

Press [ ]

or [ ] key

iv) BASE Mode

COMP Normal calculations

CPLX

Complex number calculation

CPLX

STAT

BASE

EQN Equation solution EQN

TABLE Function table generation

MATX Matrix calculations MATX

VCTR Vector calculations VCTR

Operation

Mode LCD

Indicator

Statistical and regression

calculations

Calculations involving specific

number systems

STAT

Apps

5

To select the calculator input & output format [1] Maths

or [2] Line

[1] Maths – (Mathematics mode):

The majority of calculation input

and output (e.g. Fraction, pi,

square root number) are shown in

Mathematics textbook format.

[2] Line – (Line mode): The majority

of calculation input and output are

shown in the line format. The

“LINE” icon will be shown.

For the STAT, EQN, MATX, VCTR mode, the Input & Display

format will switch to Line mode automatically.

Mathematics mode

Line mode

LINE

Press to exit the Apps menu.

Apps Apps

vii) VCTR Mode

v) EQN Mode

Press [ ]

or [ ] key

vi) MATX Mode

Press [ ]

or [ ] key

Press to enter the Calculator Set-up Menu;

press / for next / previous page.

Press [ ]

or [ ] key

Calculator Set-up Menu

6

To select the angle unit [3] Deg, [4] Rad or [5] Gra

[3] Deg: Angle unit in Degree

[4] Rad: Angle unit in Radian

[5] Gra: Angle unit in Gradient

90º = radians = 100grads

To select display digit or notation [6] Fix, [7] Sci or

[8] Norm

[6] Fix: Fixed Decimal, [Fix 0~9?] appears, specify the

number of decimal places by pressing [0] – [9].

Example: 220 ÷ 7 = 31.4286 (FIX 4)

= 31.43 (FIX 2)

[7] Sci: Scientific Notation, [Sci 0~9?] appears, specify

the number of significant digits by pressing [0] – [9].

Example: 220 ÷ 7 = 3.1429x101 (SCI 5)

= 3.143x101 (SCI 4)

[8] Norm: Exponential Notation, [Norm 1~2?] appears,

specify the exponential notation format by pressing [1]

or [2].

Norm 1: Exponential notation is automatically used for

integer values with more than 10 digits and decimal

values with more than TWO decimal points.

Norm 2: Exponential notation is automatically used for

integer values with more than 10 digits and decimal

values with more than NINE decimal places.

Example: 1 ÷ 1000 = 1x10-3 (Norm 1)

= 0.001 (Norm 2)

To select the fraction format [1] a b/c or [2] d/c

[1] a b/c: specify Mixed fraction display

[2] d/c: specify Improper fraction display

To select the complex number display format [3]

CLPX ([1] a+bi or [2] r< )

[1] a+bi: specify Rectangular Coordinates

[2] r< : specify Polar Coordinates

7

To select the statistical display format [4] STAT

([1] ON or [2] OFF)

[1] ON: Show FREQ (Frequency) Column in Statistical

Data Input Screen

[2] OFF: Hide FREQ (Frequency) Column in Statistical

Data Input Screen

To select the decimal point display format [5] Disp

([1] Dot or [2] Comma)

[1] Dot: specify dot format for Decimal point result display

[2] Comma: specify comma format for Decimal point

result display

To Adjust Display contrast [6] CONT

Refer to the “Display Contrast Adjustment” section.

Before Using the Calculator

Check the current Calculation Mode

Be sure to check the status indicators that indicate the

current calculation mode (COMP, STAT, TABLE), display

formats setting, and angle unit setting (Deg, Rad, Gra).

Return to initial setup

Press (YES) to return the initial

calculator setup:

Calculation mode : COMP

Input/Output Format : Maths

Angle unit : Deg

Display Digits : Norm 1

Fraction Display Format : d/c

Statistical Data Input : OFF

Decimal Point format : Dot

This action will not clear the variable memories.

Initialize the calculator

When you are not sure of the current calculator setting, you

are recommended to initialize the calculator (resets

calculation mode to "COMP", angle unit to "Degree", clears

replay and variable memories, and resets LCD contrast) by

performing the following key operations:

(All) (YES) .

8

F-789SGA allows you to input a single calculation with up to 99

bytes. Normally, one byte is used each time you press one of

the numeric keys, arithmetic keys, scientific function keys or

. Some functions require 4 – 13bytes. , , and the

direction keys will not use up any bytes.

When the remaining input capacity is less than 10bytes, the

input cursor will change from “ ” to “ ” signaling that the

memory is running now.

Input Editing

New Input begins on the left of display. When the input data

is more than 15 characters (Line Mode) / 16 characters

(Math mode), the line will scroll to the right consecutively.

You can scroll back to the left by using and to review

the input.

In Line mode, press to let the cursor jump to the

beginning of input, press to jump to the end.

In Mathematics mode, press to let the cursor jump to the

beginning of input when it is at the end of the input

calculation. Or press to let the cursor jump to the end of

input when it is at the beginning of the input calculation.

Omit the multiplication sign and final close parenthesis.

Inputting Expressions and Values

*1. Omit multiplication sign (x)

- Input before an open parentheses : 1 x (2+3)

- Input before scientific functions that includes parentheses:

2 x cos(30)

- Input before Random number function

- Input before Variable (A, B, C, D, X, Y, M), π, θ

Example: 2 x log 100 x (1+3) = 16

Including *1,

*2, *3

Omitting *1,

*3

2xlog(100) x (1+3)

16

*2

*1

2log(100)(1+3)

16

Operation 1: Display 1

Operation 2: Display 2

3

Input Capacity

9

*2. Scientific functions come with the open parenthesis.

Example: sin(, cos(, Pol(, LCM(…. You need to input the

argument and the close parenthesis .

*3. Omit the last close parenthesis before the , , ,

and .

Insert and Overwrite Input mode

In Line mode, you can use INSERT or overwrite mode for

inputting.

- In Insert mode (Default input mode), the cursor is a

vertical flashing line “ ” for inserting a new character.

- In Overwrite mode, press key to switch the cursor

to a flashing horizontal “ _ ” and replace the character at

the current cursor position.

In Mathematics mode, you can only use the Insert mode.

Whenever the display format changes from Line mode to

Mathematics mode, it will automatically switch to the Insert mode.

Deleting and Correcting an Expression

In Insert mode: Move the cursor to the right of the character or

function that needs to be deleted, then press .

In Overwrite mode: Move the cursor under the character or

function being deleted, then press .

Example: 1234567 + 889900

(1) Replace an entry (1234567 1234560)

(2) Deletion (1234567 134567)

Method 1: Line/Maths

mode - Insert mode

Method 2: Line mode -

Overwrite mode

12times

13times

12|34567+889900

1|34567+889900

1234567+889900_

1234567+889900

134567+889900

Method 1: Line/Maths

mode - Insert mode

Mode Setting

Display (input Line only)

Key In operation

Method 2: Line mode -

Overwrite mode

10

(3) Insertion (889900 2889900)

Line/Maths mode -

Insert mode

6times

1234567+|889900

1234567+2|889900

Number of Digits for

Internal Calculation

Precision

Calculation Range

Up to 18 digits

±1 at the 10th digit for a single calculation.

±1 at the least significant for exponential

display

±1 × 10–99 to ±9.999999999 × 1099 or 0

Inputting and Display Result in Mathematics Mode

In Mathematic Mode, the input and display result of

fraction or certain functions (log, x2, x3, x , , 3 , , x-1,

10 , e , Abs) is shown in Handwriting/Mathematics

format.

NOTE

(1) Some input expressions cause the height of a

calculation expression to be greater than one display

screen. Maximum input capacity: 2 display screens

(31 dots x 2).

(2) Calculator memory limits how many functions or

parentheses can be input in any single expression. In

this case, divide the expression into multiple parts

and calculate separately.

(3) If part of the expression you input is cut off after

calculation and in the result display screen, you can

press or to view the full expression.

DisplayKey in operationExample

Calculation Precision, Input Range

Input Range and Error Messages

MATHEMATICS MODE:

11

Function Calculation Input Ranges

DEG 0 |x| <9×109

RAD 0 |x| <157 079 632.7

GRA 0 |x| <1x1010

DEG 0 |x| <9×109

RAD 0 |x| <157 079 632.7

GRA 0 |x| <1x1010

DEG Same as sinx, except when |x| =(2n-1)×90

RAD Same as sinx, except when |x| =(2n-1)× /2

GRA Same as sinx, except when |x| =(2n-1)×100

0 |x| 9.999 999 999x1099

0 |x| 4.999 999 999x1099

1 x 4.999 999 999x1099

0 |x| 9.999 999 999x1099

0 |x| 9.999 999 999x10-1

0< x 9.999 999 999x1099

-9.999 999 999 x1099 x 99.999 999 99

-9.999 999 999 x1099 x 230.258 509 2

0 x <1x10100

|x|<1x1050

|x| 2.154 434 69x1033

|x|<1x10100,x 0

|x|<1x10100

0 x 69 (x is an integer)

0 n < 1x1010, 0 r n (n,r are integers)

1 {n!/((n-r)!} < 1x10100

0 n < 1x1010, 0 r n (n,r are integers)

1 n!/r! < 1x10100 or 1 n!/(n-r)! < 1x10100

sinx

cosx

tanx

sin-1x

cos-1x

tan-1x

sinhx

coshx

sinh-1x

cosh-1x

tanhx

tanh-1x

logx/lnx

10x

ex

√x

x2

x3

x-1

3√x

x!

nPr

nCr

Input RangeFunctions

0 |x| 1

0 |x| 230 258 509 2

12

|x|,|y| 9.999 999 999x1099

x2+y2 9.999 999 999x1099

0 r 9.999 999 999x1099

: Same as sinx

|a|,b,c <1x10100

0 b,c

The display seconds value is subject to an error of

+/-1 at the second decimal place

|x|<1x10100

Deciaml Sexagesimal Conversions

0°0′0″ |x| 9999999°59′59″

x>0: -1x10100 < ylog x < 100

x=0: y>0

x<0: y=n,m/(2n+1) (m,n are integers)

However: -1x10100<ylog|x|<100

y>0: x 0, –1x10100<1/x logy<100

y=0:x>0

y<0:x=2n+1,(2n+1)/m (m≠0;m,n are integers)

Total of integer, numerator, and denominator must be

10 digits or less (including division marks).

0 a<1x1010, 0 b<1x1010 (a,b should be positive

integers or 0)

Result generates a 3 digits pseudo random

number(0.000~0.999)

0<x, y, z 9.999 999 999x1012 (positive integers)

Default result when x, y, z=0

0<x, y, z 9.999 999 999x1012 (positive integers)

Default result when x, y, z=0

0<x,y 9.999 999 999x1012 (positive integers)

0 Q 999 999 9999, 0 r 999 999 9999 (Q,r are

integers)

Default result when x=0

Pol(x,y)

Rec(r, )

°′ ″

^(xy)

x√y

a b/c

i~Rand(a,b)

Rand

LCM(x,y,z)

GCD(x,y,z)

Q…r(x,y)

Input RangeFunctions

13

0<|x,y| 9.999999999x1012

Default result=x when y=0

|x|<1x10100

|FREQ|<1x10100

|x|<1x10100

|y|<1x10100

|FREQ|<1x10100

|x|<1x10100

x 9999999999 (positive integers)

Positive:

0~0111 1111 1111 1111 1111 1111 1111 1111

Negative:

1000 0000 0000 0000 0000 0000 0000 0000~

1111 1111 1111 1111 1111 1111 1111 1111

Positive: 0~2147483647

Negative: -2147483648~-1

Positive: 0~177 7777 7777

Negative: 200 0000 0000~377 7777 7777

Positive: 0~7FFF FFFF

Negative: 8000 0000~FFFF FFFF

a and b are integers in the range of –1 • 10^10 < a b <1 • 10^10.

Mod(x,y)

ABS

BIN

DEC

OCT

HEX

∑ (f(x),a, b)

∏ (f(x),a, b)

Pfact

Single-variable

Paired-variable

Input RangeFunctions

• Errors are cumulative in the case of consecutive

calculations, this is also true as internal consecutive

calculation are performed in the case of ^(xy), x√y, 3√, x!,

nPr, nCr , etc. and may become large.

Display of results using

Calculation results may be displayed using in all of the

following cases:

1. When intermediate and final calculation results are

displayed in the following form:

2. When the number of terms in the intermediate and final

calculation result is one or two.

14

Recall memory (A, B, C, D, E, F, 0-9), Rand

Calculation within parentheses ( ).

Function with parenthesis that request the input

argument to the right Pol(, Rec(, d/dx, dx, P(, Q(, R(,

Det(, Trn(, Ide(, Adj(, Inv(, Arg(, Conjg(, Real(, Imag(,

sin(, cos(, tan(, sin–1(, cos–1(, tan–1(, sinh(, cosh(,

tanh(, sinh–1(, cosh–1(, tanh–1(, log(, ln(, e^(, 10^(, (,

3 (, Abs(, ROUND(, LCM(, GCD(, Q…r(, i~Rand(,

Functions that come after the input value preceded by

values, powers, power roots:

x2, x3, x–1, x!, ° ’ ”, °, r, g, ^(, x (, Percent %, logab, EXP,

t

Fractions: a b/c, d/c

Prefix symbol: (–) (negative sign), base-n symbols

(d, h, b, o, Neg, Not)

Statistical estimated value calculation:

Metric conversion commands (cm in, etc)

Multiplication where sign is omitted: Multiplication sign

omitted immediately before , e, variables (2 , 5A, A,

etc.), functions with parentheses (2 (3), Asin(30), etc.)

Permutations, combinations: nPr, nCr

Complex number polar coordinate symbol (<)

Dot: .

Multiplication and division: ×, ÷

Addition and subtraction: +, –

Logical AND (and)

Logical OR, XOR, XNOR (or, xor, xnor)

Calculation ending instruction: =, M+, M- STO (store

memory), r< , a+bi

1st Priority

2nd

3rd

4th

5th

6th

7th

8th

9th

10th

11th

12th

13th

14th

15th

Order of Operations

This calculator will automatically determine the operation

priority of each individual command as follows:-

x, y, x1, x2

ˆ ˆ ˆ ˆ

15

In the same precedence level, calculations are performed

from left to right.

Operations enclosed within parentheses are performed first.

When a calculation contains an argument that is a negative

number, the negative number must be enclosed within the

parentheses.

Example:

–22 = –4

(–2)2 = 4

When same priority commands are mixed into one

calculation:

Example 1:

1 ÷ 2 = 0.1591549431

Example 2:

2 A

1 ÷ 2A =

1

4

Calculation Stacks

This calculator uses memory areas, called “stacks”, to

temporarily store numeric value (numbers) commands (+, –,

x…) and functions according to their precedence during

calculations.

The numeric stack has 10 levels and the command stack has

128 levels. A stack error [Stack ERROR] occurs whenever

you try to perform a calculation that exceeds the capacity of

stacks.

Calculations are performed in sequence according to “Order

of Operations”. After the calculation is performed, the stored

stack values will be released.

Error Messages and Error Locator

The calculator is locked up when an error message is shown on

the display indicating the cause of the error.

Press to clear the error message, then return to the

initial display of the latest mode.

Press or to display the input expression with the

cursor positioned next to the error.

Press to clear the error message, replay memory history

and return to the initial display of the latest mode.

16

• Press or to display

the location of the cause of

an error and make

required corrections.

• Press or to display

the cursor at the location

of the error, make

appropriate corrections

Error Message

Cause Action

Math ERROR • The intermediate or final

result is outside the

allowable calculation range.

• An attempt to perform a

calculation using a value

that exceeds the allowable

input range.

• An attempt to perform an

illogical operation (division

by zero, etc.)

• Check the input values and

make sure they are all

within the allowable

ranges, Pay special

attention to values in any

using memory areas

Stack ERROR • The capacity of the numeric

stack or operator stack is

exceeded.

• Simplify the calculation.

• Divide the calculation into

two or more separate

parts.

Syntax ERROR • An attempt to perform an

illegal mathematical

operation.

Insufficient

MEM

Can’t Solve

ERROR

(only in SOLVE

function)

Variable

ERROR

(only in SOLVE

function)

Time Out

ERROR

(only in

Differential or

integration

Calculations

• The calculation result of

Function Table mode

parameters caused more

than 30 x-values to be

generated for a table

• Narrow the table

calculation range by

changing the start, end,

and step values, and try

again.

• The calculator could not

obtain a solution.

• Press or to display

the location of the cause of

an error and make required

corrections.

Argument

ERROR • Improper use of an

argument.

Dimension

ERROR

(only in Matrix

or Vector)

• Equation is not a correct

equation.

• Equation does not include

variable X.

• The solution variable is not

similar to the specified

variable in the expression.

• Check for errors in the

equation that you input.

• Input a value for the

solution variable that is

close to the expected

solution and try again.

• The calculation ends

without the ending condition

being fulfilled.

• The dimension (row colum)

is over.

• An attempt to perform an

illegal matrix/vector

operation.

• Revise the ending condition

and try again.

(refer P.51)

• Correct the equation to

include variable X.

• Correct the equation to

match the solution variable

and expression.

(refer to P.49)

17

Arithmetic Calculations

• To calculate the negative values (exclude the negative

exponent) enclose then within the parentheses.

• This calculator supports 99 levels of parenthetical

expression.

Press to enter COMP mode.

As the calculation is busy processing, the calculator

shows the message [PROCESSING] (without any

calculation result). Press key to interrupt the

calculating operation.

Basic Calculations

(-2.5)2

4E75x

25

4

1

1250

(-2.5)2

(4 x 1075)(-2 x

10-79)

DisplayKey in operationExample

Memory Calculations

Memory Variables

• There are 19 memory variables (0 – 9, A – F, M, X and

Y), which store data, results, or dedicated values.

• Store values into memory by pressing + Memory

variable.

• Recall memory values by pressing + Memory

variable.

• Memory content can be cleared by pressing

+ Memory variable.

MATHEMATICS MODE:

18

Independent Memory

• Independent memory uses the same memory area

as variable M. It is convenient for calculating cumulative

totals by pressing (add to memory) or (subtract

from memory).

• Memory contents are retained even when the calculator

is powered off.

• Clear independent memory (M) by pressing

• Clear all memory values by pressing 2(MCL)

.

Answer Memory

• The input values or the most recent calculation result will

be automatically stored into Answer memory whenever

you press , , , , . Answer

memory can hold up to 18 digits.

• Recall and use the latest stored Answer memory by

pressing .

• Answer memory is not updated when an error operation

has been performed.

• Answer memory contents can be maintained even after

pressing , changing the calculation mode, or turning

off the calculator.

23+7 A

30

2sin(A

1

0 A

0

23 + 7 A

2 x sin A = 1

Clear memory

DisplayKey in operation

Ans2

335241

789900-Ans

454659

123 + 456 M+,

Ans2 = 335,241

789900 – Ans =

454,659

DisplayKey in operation

MATHEMATICS MODE:

Example

Example: 23 + 7 A (30 store into A), calculate 2 sinA

and clear memory A.

19

Press to switch a calculation result between fraction and

decimal format.

Press to switch a calculation result between

improper fraction and mixed fraction format.

Results will be displayed in decimal format automatically

whenever the total digits of a fractional value (integer +

numerator + denominator + separator marks) exceeds 10.

When a fraction calculation is mixed with decimal values, the

result will be displayed in decimal format.

Maths Mode

Line Mode 3_|2_|311_|3

Mixed Fraction

(a b/c)

Improper Fraction

(d/c)

Fraction Calculations

The calculator supports Fraction calculation and the

conversions between Fraction, Decimal point, Mixed fraction

and Improper fraction.

• Specify the fraction calculation result display format by

selecting either mixed fraction ( ) or improper fraction

( ) in set-up menu.

• At the default setting, fractions are displayed as improper

fractions ( ).

• Mixed Fraction display results are only available after

selecting ( ) in the setup menu.

11

3

2

3

Fraction Decimal point conversion

2.333333333

1 + =

1

2

(Fraction Decimal)

(Decimal Mixed

Fraction)

DisplayKey in operationExample

5

61 +

1

2

5

6

1 +

1

2

5

6

1 +

1

2

21

3

2

2.333333333

1

3

7

3

5

6

7

3

7

3

MATHEMATICS MODE:

20

In Maths mode, press to change the calculation result

value between fraction form Decimal form, form

Decimal form, √ form Decimal form.

In Line mode, press to ONLY change the calculation

result value between fraction form Decimal form, the other

and √ calculation will display the decimal value only.

NOTE:

• In some Calculation results, pressing will not convert the

display value.

• Some display result conversions may take a long time.

MATHEMATICS MODE:

=0.5773502692

=0.3926990817

DisplayKey in operationExample

÷8=1

8

0.5773502692

0.3926990817

3

1

8

+2 8

3

2

3

2.666666667

+2

2

3

LINE MODE:

DisplayKey in operationExample

2_|3+2

8_|3

2_|3+2

2.666666667

Display Values Exchange

21

820x25%

205

750÷1250%

60

To calculate 25% of

820

The percentage of

750 against 1250

DisplayKey in operationExample

Percentage Calculations

Degree-Minutes-Seconds Calculations

Use the degrees (hours), minutes and seconds key to

perform a sexagesimal (base-60 notational system)

calculation or convert the sexagesimal value into decimal

value.

Degree-Minutes-Seconds Decimal points

86º37 º 34.2 º ÷ 0.7

123º45’6”

86º37 º 34.2 º ÷ 0.7

123.7516667

2.3456

2º20’44.16”

86º37’34.2” ÷ 0.7 =

123º45’6”

123º45’6” 123.7516667

2.3456 2º20’44.16”

DisplayKey in operationExample

MATHEMATICS MODE:

22

11

MATHEMATICS MODE:

Multi-statements Function

• Use a colon to put two or more calculation expressions

together.

• The first executed statement will have “Disp” indicator; and

the “Disp” icon will disappear after the last statement is

executed.

Disp

1x12:2+25|

1x12

12

2+25

27

1x12

12

1x12=12

2+25=27

using a multi-statement

Replay the previous

calculation history

(1 x 12 = 12)

Replay & Multi-statements

Replay Memory Function

• Replay memory is only available in COMP mode.

• After the calculation is executed, the calculation input and

result will be stored in the replay memory automatically.

• Pressing (or ) can replay the performed calculation

input and result history.

• After obtaining the calculation result on the display,

press or to edit the input expression of that result.

• If the Indicator is on the right side of a calculation result

display, you need to press and then or to scroll

through the calculation.

• Replay memory is cleared when you:

1. Initialize calculator setting by

2. Change from one calculation mode or display mode to

another.

3. Press key.

4. Press to power off the machine.

DisplayKey in operationExample

23

(menu selection page)

F-789SGA has total of 79 built-in constant values, you can enter

(or exit) the constant value selection menu by pressing ,

the following display will be shown:

• You can go to the next or previous value selection pages by

pressing or .

• To select a constant value simply press or . The

selection cursor will shift left or right to underline a constant

symbol and the lower line display will show the value of the

underlined constant symbol.

• The underlined constant symbol will be selected as you

press .

• You can instantly get the constant value if you input the

constant value item number and press when the

selection cursor is underlining 0 0.

Key in Operation Display

Input 1 79 0 0

m

p

m

n

me m

µ

ao

g|

g+35

44.80665

Ansx50

2240.3325

Input 1 79 0 0

m

p

m

n

me m

µ

ao

Constant Value Calculations

24

NO.

Symbol

UnitValueConstant

Constant Table

1.672621777x10-27

1.674927351 x10-27

9.10938291x10-31

1.883531475x10-28

0.52917721092x10-10

6.62606957 x10-34

5.05078353 x10-27

927.400968 x10-26

1.054571726 x10-34

7.2973525698x10-3

2.8179403267x10-15

2.4263102389 x10-12

2.675222005 x108

1.3195909068x10-15

1.660538921 x10-27

1.410606743x10-26

-928.476430x10-26

-0.96623647 x10-26

-4.49044807 x10-26

1.602176565x10-19

1.3806488 x10-23

22.413968 x10-3

3.74177153x10-16

1.4387770 x10-2

8.3144621

299792458

6.02214129x1023

96485.3365

10973731.568539

1.32140985623 x10-15

25

NO.

Symbol

UnitValueConstant

5.670373x10-8

8.854187817 x10-12

12.566370614x10-7

2.067833758 x10-15

7.7480917346x10-5

6.67384 x10-11

0.21001941568x10-15

1.616199x10-35

5.39106x10-44

2.17651 x10-8

1.660538921 x10-27

1.602176565x10-19

3.9903127176x10-10

2.8977721 x10-3

543.1020504 x 10-12

4.35974434 x10-18

2.6867805 x1025

12906.4037217

483597.870 x109

386.15926800x10-15

0.6652458734 x10-28

1.15965218076 x10-3

1.760859708x1011

1.16592091 x10-3

-2.0023318418

-2.00231930436153

25812.8074434

9.80665

376.730313461

273.15

101325

5.585694713

Pa

26

! Constant values cannot perform rounding.

Source: CODATA Internationally 2010

http://physics.nist.gov/constants

11.73444103x10-15

1.867594294x10-15

0.697787 x10-15

0.111056 x10-15

3.16747 x10-27

1.410570499 x10-26

1.83247179 x108

2.037894659 x108

2.675153268 x108

3.34358348 x10-27

0.433073489 x10-26

-1.074553044 x10-26

5.00641234 x10-27

6.64465675 x10-27

25.694 x10-6

-3.82608545

0.21030891047 x10-15

NO.

Symbol

UnitValueConstant

27

Metric Conversions

The calculator has 172 conversion pairs which allows you to convert

a number to and from the specified metric units.

• Press enter the conversion menu.

• There are 8 category pages (distance, area, temperature,

capacity, weight, energy, pressure and speed) containing 36

metric symbols, you can press or to change the category

selection page.

• In a category page, you can shift the selection cursor left or right by

pressing or .

Page UnitSymbol

1 feet feet

1 m meter

1 mil milliliter

1 mm millimeter

1 in inch

1 cm centimeter

1 yd yard

1 mile mile

1 km kilometer

2 ft2 square foot

2 yd2 square yard

2 m2 square meter

2 mile2 square mile

2 km2 square kilometer

2 hectares hectare

2 acres acre

3

o

F degree Fahrenheit

3

o

C degree Celsius

4 gal gallon (U.K.)

4 liter liter

4 B.gal gallon (U.S.)

4 pint pint

4 fl.oz fluid ounces (U.S.)

5 Tr.oz ounce (troy or apothecary)

5 oz ounces

5 lb libra

5 Kg kilogram

5 g gram

6 J joule

6 cal.f calorie

7 atm standard atmosphere

7 Kpa kilopascal

7 mmHg millimeter of mercury

7 cmH2O centimeter of water

8 m/s Meter per second

8 km/h Kilometer per hour

28

• If the converted result overflows, [ERROR] will be shown in the

lower display. Press to select the overflow value; the following

scenarios are valid:

Scenario A - Keep selecting the other conversion value by

pressing or .

Scenario B - Clear the screen and jump out of the selection

by pressing or .

Scenario C - Jump back to the previous calculation screen by

pressing .

• Go back to the calculation mode by pressing within the

category selection menu. After the base conversion unit,

, or keys will be invalid.

Example: Convert 10 + (5 ft2 m2) = 10.4645152

(menu selection menu)

(confirm selection ft2)

(confirm the value

convert into m2)

Key in Operation Display

Unit (distance)

feet m mil mm in

cm yd mile km

ft2 yd2 m2 mile2

km2 ha acres

5

MATHEMATICS MODE:

Press to enter COMP mode.

= 3.1415926535897932324

e = 2.7182818284590452324

Functional Scientific Calculations

= 0.6217559776

0.6217559776

7

= 7

DisplayKey in operationExample

MATHEMATICS MODE:

Square, Root, Cube, Cube Root, Power, Power Root,

Reciprocal and Pi

29

Angle Unit Conversion

The default calculator angle unit setting is “Degree”. Press

to enter the setup menu to change the unit to “Radian” or “Gradient”,:

MATHEMATICS MODE:

Press the corresponding number key , or for the

angle unit you need. Then the display will show the , ,

Indicator accordingly.

Convert an angle unit between “Degree”, “Radian” and

“Gradient” by pressing

Then, pressing , , or will convert the displayed

value into the selected angle unit.

Convert 180

degree into radian

and gradient

(180º = Rad =

200Gad)

180º

200

DisplayKey in operationExample

R

GRD

MATHEMATICS MODE:

e-3 + 101.2 + In3 =

16.99733128

log381 – log1 = 4

16.99733128

4

DisplayKey in operationExample

Logarithm, Natural Logarithm, Antilogarithm and Logab

30

Trigonometry Calculations

Before using the trigonometric functions (except

hyperbolic calculations), select the appropriate angle unit

(Deg/Rad/Gra) by pressing .

90º = Radians = 100 Gradients.

Deg

Rad

Gra

Units of 15º

Multiples of radians

Multiples of grads

Degree Mode

Sin 60 =

=Cosec 45º =

sin(60

sin(45)-1

DisplayKey in operationExample

Angle Value Input

Angle Unit

Setting

Input Value Range

for form result

1

12

50

3

1

Sin45

o

D

3

2

3

2

MATHEMATICS MODE:

Hyperbolic (sinh/ cosh/ tanh), Inverse Hyperbolic

(sinh-1/cosh-1/tanh-1) functions

Press to enter the sub-hyperbolic menu.

sinh2.5 – cosh 2.5

= -0.082084998

Cosh-145

= 4.499686191

sinh(2.5) – cosh(

-0.08208499862

DisplayKey in operation

Example

cosh-1(45

4.499686191

31

Random Number Generation

: Generate a random number between 0.000 and

0.999. The display result will be in fraction format in

Maths mode.

: Generate a random number between two specified

positive integers. The entry is divided by “.”

*The value shown here is only a sample, results will differ each time.

Generate a random

number between

0.000 & 0.999

Generate an integer

from a range of 1 to

100

DisplayKey in operationExample

Rand

i~Rand(1,100

33

139

1000

MATHEMATICS MODE:

Permutation:

Combination:

Factorial :

10P3 = 720

5C2 = 10

5! = 120

10P3

720

5C2

10

5!

120

DisplayKey in operation

Example

Permutation, Combination, Factorials and Random

Number Generation

32

Apps

720

(x + 1)

=0

Apps

20

To calculate Maximum

value of 3, sin30 and

cos30

To calculate Minimum

value of 3, sin30 and

cos30

Max(3, sin(30), C

Apps

Min(3, sin(30), C

Apps

Maximum Value and Minimum Value Calculation

33

LCM: Calculate the least common multiple among

(maximum) three positive integers.

GCD: Calculate the greatest common divisor among

(maximum) three positive integers.

LCM(15, 27, 39)

= 1755

LCM(15,27,39

1755

DisplayKey in operationExample

MATHEMATICS MODE:

GCD(12, 24, 60)

= 12

GCD(12,24,60

12

DisplayKey in operationExample

LINE MODE:

Apps

Least Common Multiple and Greatest Common Divisor

Modulus After Division (Mod) Calculation

Mod(23, 5

Mod(-23, 5

Apps

34

MATHEMATICS MODE:

Prime Factorization

• Factor a positive integer of up to 10 digits into prime

factors of up to 3 digits.

Ptact Number : 0 < X < 99999 99999 (X is integer)

• The reminder that cannot be factored will be enclosed in

parentheses on the display.

Example: 99999 99999 = 32 x 11 x 41 x 271 x (9091)

Key in Operation Display

NOTE:

• During any calculation operations, pressing or

or or key will exit the prime factorization

result display.

• Use the setup menu to change the angle unit setting

(Deg, Rad, Gra) or display digit setting (Fix, Sci, Norm).

• [Math ERROR] will be shown if decimal value, fraction,

negative value calculation result, or Pol, Rec, Q...R is

displayed.

9999999999

3 2x11x41x271x(9

1777

(1777)

35

“Quotient” (Q) is the result in a division problem, “Remainder”

(r) is the value remaining in an integer division problem.

The calculated quotient value (Q) and remainder (r) will be

stored into memory variables “C” and “D”, automatically

assigned.

In Maths mode, press or to scroll through a long

calculation result.

In Line mode, the quotient value (Q) and remainder (r) will be

shown over 2 lines.

Only the Quotient Value (Q) can continue to be used for the

next calculation or be stored into memory variables.

With polar coordinates, you can calculate and Display θ

within the range of –180º < θ ≤ 180º. (Same as Radian and

Gradient)

In Maths mode, press or to scroll the through

calculation result.

In Line mode, (x,y) or (r, θ) will be shown over 2 lines.

After conversion, the results will automatically be assigned to

memory variables X and Y. Press or to show the

results.

Rectangular Coordinates

(Rec)

Polar Coordinates (Pol)

LINE MODE:

35 ÷ 10 = 3 x 10 +5

Q=3

R=5

Quotient value (Q) + 3

= 6

Recall Quotient

value (Q)

Recall Remainder

value (r)

Q…r(35, 10

Q= 3

R= 5

Ans+3

6

C

3

D

5

DisplayKey in operationExample

Apps

Quotient and Remainder Calculations

Coordinate Conversion

NOTE:

• During any calculation operations, pressing or

or or key will exit the prime factorization

result display.

• Use the setup menu to change the angle unit setting

(Deg, Rad, Gra) or display digit setting (Fix, Sci, Norm).

• [Math ERROR] will be shown if decimal value, fraction,

negative value calculation result, or Pol, Rec, Q...R is

displayed.

36

: Convert rectangular coordinates (x, y) to polar

coordinates (r, θ); Press for r, or

for θ.

: Convert polar coordinates (r, θ) to rectangular

coordinates (x, y); Press for x, or

for y.

With rectangular

coordinate (x=1, y=

√3). Find Polar

coordinate (r, θ) at

degree mode

1÷200 = 5x10-3 1÷200

5x10-3

1÷200

5000x10-6

1÷200

5x10-3

2.573442045

Rec(2, 60

X= 1

Y= 1.732050808

X

1

Y

1.732050808

Pol(1, √3

r=2, θ=60

X

2

Y

60

DisplayKey in operationExample

With Polar coordinate

(r=2, θ=60º).

Find Rectangular

coordinate (x, y) at

degree mode

DisplayKey in operationExample

MATHEMATICS MODE:

LINE MODE:

MATHEMATICS MODE:

LINE MODE:

Absolute Value Calculation

Engineering Notation

37

Press to enter CPLX mode.

Press to select the calculation type.

Complex Number Type Selection

There are 6 types of complex number calculations in the Complex

Number Type screen. Press the number to select the type of

Complex Number Calculation:

Check the current angle unit setting (Deg, Rad, Grad).

[ ] indicates the display result is the imaginary number;

[ ] indicates the display value is the argument value .

Imaginary numbers will use up replay memory capacity.

Complex Number Calculations

Complex numbers can be expressed in rectangular form (z = a + bi)

or polar form (r ). Where " a " is the real number, " bi " is the

imaginary number (and i is the imaginary unit equal to the square

root of –1, -1), " r " is the absolute value, and " " is the argument of

the complex number.

r

4

0 3 Real axis

Imaginary axis ( i)

Apps

Rectangular Form and Polar Form Conversion

Pressing can convert rectangular form complex numbers

into polar form; whereas pressing will convert polar form

complex numbers into rectangular form.

DisplayKey in operation

Example

MATHEMATICS MODE:

3+4 =

5 53.13010235

2<45=1+

3+4

5 53.13010235

2 45=

1+

Apps

Abs

38

Absolute value (r)

and argument ( ) if

complex number is

6+8

Absolute Value and Argument Calculation

With the rectangular form complex number, you can calculate

the corresponding absolute value (r) or argument ( ) by

pressing or respectively.

Conjugate of a Complex Number

If the complex number is z = a + bi, the conjugate value of this

complex number should be z = a – bi.

Determine the Real/Imaginary Values of a Complex

Number

LINE MODE:

DisplayKey in operationExample

MATHEMATICS MODE:

Real and Imaginary

values of a complex

number is 23<54

Real(23 54)

13.5190608

Imag(23 54)

18.60739087

DisplayKey in operationExample

Abs (6+8 )

10

Arg (6+8 )

53.13010235

Abs

3+4 is 3–4

LINE MODE:

DisplayKey in operationExample

Conjg (3+4 )

3

- 4

Abs

Apps

39

Base-n Calculations and Logical Calculations

Press to enter Base-n mode.

Decimal (base 10), hexadecimal (base 16), binary (base 2), octal

(base 8), or logical calculations.

To select a specific number system in base mode, simply press

Decimal [DEC], Hexadecimal [HEX], Binary [BIN] or

Octal [OCT].

Press key to perform logical calculations including: Logic

connection [and] / [or], exclusive or [Xor], exclusive nor [Xnor],

argument complement [Not] and negation [Neg].

If the binary or octal calculation result is more than 8 digits,

will be displayed to indicate the result has a next block. Press

to loop between result blocks.

In Base-n mode all the scientific functions cannot be used, and

you cannot input the value with decimal places or exponents.

MODE

DisplayKey in operationExample

10101011+1100–

1001x101÷10

=10100001

(in Binary Mode)

10101011+1100–1

BIN

1010 0001

645+321–23x7÷2

=1064

(in Octal Mode)

645+321-23x7÷2

OCT

00000001064

(77A6C+D9)xB÷F

=57C87

(in Hexadecimal Mode)

(77A6C+D9)xB÷F

HEX

00057C87

Base-n Transformation

DisplayKey in operationExample

12345+101=12446 12345+101

DEC

12446

12345+101

HEX

000309E

12345+101

OCT

00000030236

Apps

MATHEMATICS MODE:

12345+101

BIK 1/2 BIN

1001 1110

40

Base-n Calculations and Logical Calculations

Press to enter Base-n mode.

Decimal (base 10), hexadecimal (base 16), binary (base 2), octal

(base 8), or logical calculations.

To select a specific number system in base mode, simply press

Decimal [DEC], Hexadecimal [HEX], Binary [BIN] or

Octal [OCT].

Press key to perform logical calculations including: Logic

connection [and] / [or], exclusive or [Xor], exclusive nor [Xnor],

argument complement [Not] and negation [Neg].

If the binary or octal calculation result is more than 8 digits,

will be displayed to indicate the result has a next block. Press

to loop between result blocks.

In Base-n mode all the scientific functions cannot be used, and

you cannot input the value with decimal places or exponents.

Logical Operation

DisplayKey in operationExample

789ABC Xnor

147258

789ABC nor147258

HEX

FF93171B

Ans or 789ABC Ansor789ABC

HEX

FFFB9FBF

Neg 789ABC Neg(789ABC

HEX

FF876544

1 (SD) One-variable statistics (x)

2 (Lin) Two-variable, Linear regression (y= A+Bx)

3 (Quad)

Two-variable, Quadratic regression (y=A +Bx + Cx2)

4 (Log) Two-variable, Logarithmic regression (y=AxBlnx)

5 (e EXP) Two-variable, E exponential regression (y=AeBx)

6 (ab EXP) Two-variable, ab Exponential regression (y=ABx)

7 (Pwr) Two-variable, Power regression (y=AxB)

8 (Inv) Two-variable, Inverse regression (y=A+B/x)

Statistical Calculation

Pressing Key

Statistical Type Selection

There are 8 types of Statistical Calculation, after entering the

Statistical Type Selection screen, press the number to select

the type of Statistic Calculation.

Press to enter Statistical calculation mode: the

“STAT” indicator will light up.

Press (Type) to select the calculation type.

Statistical Calculations

Apps

MATHEMATICS MODE:

41

Statistical Data Input

After confirming the calculation type in the Statistical Type

Selection screen or by pressing (Data) in the STAT

mode, the following Statistical Data Input screen will be shown:

Editing Statistical Sample Data

Replacing the Data in a Cell

(1) In the Statistical Data Input screen, move the cursor to

the cell you want to edit.

(2) Input the new data value or expression, and press .

Deleting a Line

(1) In the Statistical Data Input screen, move the cursor to

the line you want to delete.

(2) Press

Inserting a Line

(1) In the Statistical Data Input screen, move the cursor to

the line that will be under the line being inserted.

(2) Press (Edit)

(3) Press (Ins)

Deleting All STAT Data Input

(1) Press (Edit)

(2) Press (Del-A)

• After turning on Data Frequency in the setup menu, the

“FREQ” column will be added into the above screen.

• The following are the maximum number of lines for data input.

• Input expression and display result values in the Statistical

Data Input screen are in Line mode (same as Comp mode

with Line mode status).

• After inputting the data, press to store the value into

statistical registers and display the value (max. 6 digits) in the

cell. You can press the cursor key to move the cursor

between each cell.

FREQ OFFStatistic type

Single Variable (only x input) 40 80

2 Variable (x & y input) 26 40

FREQ ON

Apps

1-variable STAT 2-variable STAT 1-variable STAT

”FREQ ON”

42

Statistical Calculation Screen

After inputting the STAT Data, press to enter the

Statistical Calculation screen.

Statistical Calculation screen is in Line mode for input

& output display

Use the Statistical Menu to calculate the Statistical

result. (S-SUM, S-VAR, S-PTS, Reg).

Statistical Menu

In the Statistical Data Input screen or Statistical

Calculation screen, press to display the Statistical

Menu screen.

[1] Type To enter the statistical calculation type screen

[2] Data To enter the statistical data input screen

[3] Edit

To enter Edit sub-menu for editing STAT editor screen contents

[4] S-SUM To enter S-Sum sub-menu (calculating sum)

[5] S-VAR To enter S-Var sub-menu (calculating variable)

[6] S-PTS To enter S-PTS sub-menu (calculating points)

[7] Distr To enter Distr sub-menu (calculating distribution)

[8] Reg To enter Reg sub-menu (Regression calculation)

DescriptionSTAT items

Apps

1-variable STAT 2-variable STAT

43

44

33

SD Type Statistical Calculation Example:

To calculate ∑x2, ∑x, n, x, x n, x n-1, minX, maxX of data: 75,

85, 90, 77, 79 in SD mode (Freq: OFF)

Quadratic Regression Type Statistical Calculation Example:

ABC Company investigated the effectiveness of the

advertisement expenses in coded units, the following data was

obtained:

∑x2

33120

∑x

406

n

5

x

81.2

x n

5.528109984

x n-1

6.180614856

(SD)

DisplayKey in operation

Advertisement expenses: X 18 35 40 21 19

Effectiveness: y (%) 38 54 59 40 38

Statistical Calculation Example

Apps

45

34

Please use regression to estimate the effectiveness (estimate

the value of y) if the advertisement expenses X=30, also

estimate the advertisement expenses level (estimate the value

of X1, X2) if the effectiveness is y = 50.

(Quad)

30y

48.69615715

50x1

31.30538226

50x2

-167.1096731

DisplayKey in operation

Distribution Calculations

After sample data is entered in either Statistic (SD) or Regression

(REG) mode, you can perform the normal distribution or

probability distribution calculation such as P(t), Q(t) and R(t) in

which t is the variate of the probabilistic experiment.

Random variable

Mean of sample

Standard deviation

Apps

46

35

Press to display the distribution calculations screen.

Press , , or for the corresponding calculations.

26 t

-0.6236095645

P(Ans

0.26644

Example: Calculate the probability distribution P(t) for the sample

data: 20, 43, 26, 46, 20, 43, when x = 26.

1: P( 2: Q(

3: R( 4: t

P(t): Probability below a

given point x

Q(t): Probability below a

given point x and above

the mean

R(t): Probability above a

given point x

1

2

P(t)= e dt ,

1t–u

2

– ( )2

P(t)

R ( t ) = 1 – P ( t ),

R(t)

Q ( t ) = 0.5 – R ( t ),

Q(t)

DisplayKey in operation

Apps

47

36

Equation Calculations

Press to enter the equation mode; press /

for next / previous pages.

Simultaneous Linear Equations

Simultaneous Linear Equations with Two Unknowns:

a1x + b1y = c1

a2x + b2y = c2

Simultaneous Linear Equations with Three Unknowns:

a1x + b1y + c1z = d1

a2x + b2y + c2z = d2

a3x + b3y + c3z = d3

Simultaneous Linear Equations with Four Unknowns:

a1w + b1x + c1y + d1z = e1

a2w + b2x + c2y + d2z = e2

a3w + b3x + c3y + d3z = e3

a4w + b4x + c4y + d4z = e4

[1] 2 unknow EQN Simultaneous Linear Equations with two unknowns

[2] 3 unknow EQN Simultaneous Linear Equations with three unknowns

[3] 4 unknow EQN Simultaneous Linear Equations with four unknowns

[4] Quad EQN Quadratic Equation, degree 2 equation

[5] Cubic EQN Cubic Equation, degree 3 equation

[6] Quartic EQN Quartic Equation, degree 4 equation

DescriptionEquation Item

Press [ ]

or [ ] key

48

37

Example: Solve the simultaneous equation with three

unknowns:

2x + 4y – 4z = 20

2x – 2y + 4z = 8

5x – 2y – 2z = 20

(3 unknowns)

X=

Y=

Z=

3

4

DisplayKey in operation

11

2

49

38

Solve Function

You can solve custom calculation expressions in COMP mode.

Simply input the expression with different variables and press the

key.

• Solves for X, for example, when an equation is input as:

X = Y + 5, X

• Solves for Y, for example, when an equation is input as:

Y = X + 5, Y

Example: A cone with height "h' and a circular base with radius "r";

find the cone volume using this formula:

Replace the variable "V" with X, variable "r"

with "B", and variable "h" with "C".

Quadratic, Cubic and Quart Equations

Quadratic equation : ax2 + bx + c = 0 (a second-order polynomial

equation with a single variable x)

Cubic equation : ax3 + bx2 + cx + d = 0 (an equation with cubic

polynomial)

Quart equation : ax4 + bx3 + cx2 + dx + e = 0

hs

r

For quadratic, cubic or quart equations, the variable name starts

with “X1”.

Example: Solve the Cubic equation 5x3 + 2x2 – 2x + 1 = 0

(Cubic equation)

X1=

X2=

X3=

DisplayKey in operation

3

10+0.331662479

3

10 -0.331662479

-1

X

50

39

LINE MODE:

(COMP MODE)

(radius is B=5cm)

(height is C=2cm)

(Calculate with new variables)

Solve Function

You can solve custom calculation expressions in COMP mode.

Simply input the expression with different variables and press the

key.

• Solves for X, for example, when an equation is input as:

X = Y + 5, X

• Solves for Y, for example, when an equation is input as:

Y = X + 5, Y

Example: A cone with height "h' and a circular base with radius "r";

find the cone volume using this formula:

Replace the variable "V" with X, variable "r"

with "B", and variable "h" with "C".

CALC Function

CALC function is a memory zone with a maximum of 79

steps to store a single calculation expression which can be

recalled and calculated a number of times with different

values.

After inputting the calculation expression and pressing ,

the calculator will request for the current value of your input

variables.

CALC function can only be used in COMP mode or CPLX

mode.

! If the expression does not include the equal sign ( = ) when

Solve calculation is performed, the calculator will transform

the solution as zero ( 0 ).

! Solve function cannot be solved an equation.

! When the expression cannot be solved, [Can’t Solve] will be

displayed.

DisplayKey in operation

0

X=(1_|3) B2C

0

B?

0

C?

0

Solve for X

0

X=(1_|3) B2C

X= 523.5987756

L-R = 0

Radius is 5cm, cone height is 20cm, calculate the cone volume.

51

40

Differential Calculations

Press to enter COMP mode.

To perform a differential calculation, you have to input the

expression in the form of:

differential expression a x

• The differential expression must contain the variable x.

• "a" is the differential coefficient.

• " x" is the change interval of x (calculation precision).

Example: To determine the derivative at point x = 10, x = 10-8, for

the function f(x) = sin(3x + 30).

Example: For the equation Y = 5x2 –2x +1, calculate the value of Y if

x = 5 or x = 7.

! The stored expression will be cleared when you start a new

calculation, change into another mode, or turn off the calculator.

(COMP MODE) 0

Y=5X2–X+1

0

Y=5X2–X+1

116

Y=5X2–X+1

232

DisplayKey in operation

LINE MODE:

(COMP MODE) 0

d/dx(sin(3X+30)

0.04534498409

DisplayKey in operation

52

41

Integration Calculations

Press to enter COMP mode.

To perform an integration calculation you are required to input the

following elements:

integration expression a b n

• The integration expression has a variable x.

• "a" and "b" defines the integration range of the definite integral.

• "n" is the number of partitions (equivalent to N = 2n).

The integration calculation is based on Simpson’s rule.

As the number of significant digits is increased, internal integration

calculations may take considerable time to complete. For some

cases, even after considerable time is spent performing a

calculation, the calculation results may be erroneous. Particularly

when significant digits are less than 1, an ERROR might occur.

Example: Perform the integration calculation for, with n = 4.

! You can leave out the x in the differential expression and the

calculator will automatically substitute a value for x.

! The smaller the entered value x is, the the longer the calculation

time will be with more accurate results, the larger the entered value

x is, the shorter the calculation time will be with comparatively

less accurate results.

! Discontinuous points and extreme changes in the value of x can

cause inaccurate results or errors.

! When performing differential calculations with trigonometric

functions, select radian (Rad) as the angle unit setting.

! Logab, i~Rand, Rec ( and Pol ( functions can not join to differential

calculations.

Display

Key in operation

0

236

(5X^(4)+3X2+2X

n=2n, 1 n 9, n 0

53

42

! You can leave out the x in the differential expression and the

calculator will automatically substitute a value for x.

! The smaller the entered value x is, the the longer the calculation

time will be with more accurate results, the larger the entered value

x is, the shorter the calculation time will be with comparatively

less accurate results.

! Discontinuous points and extreme changes in the value of x can

cause inaccurate results or errors.

! When performing differential calculations with trigonometric

functions, select radian (Rad) as the angle unit setting.

! Logab, i~Rand, Rec ( and Pol ( functions can not join to differential

calculations.

! When performing integration calculations with trigonometric

functions, select radian (Rad) as the angle unit setting.

! Logab, i~Rand, Rec ( and Pol ( functions can not join to integration

calculations.

Creating a Matrix

Press to enter Matrix mode.

Press to use the MATX application; press / for

next / previous pages.

Press to exit the matrix creating screen.

[1] Dim

[2] Data

[3] MatA to MatD

[4] MatAns

[5] Det

[6] Trn

[7] Ide

[8] Adj

[9] Inv

Specify the Matrix memory A to D, and specify the

dimension (up to 4 x 4)

Specify the matrix A-D for editing and corresponding

matrix element

Select matrix A to D

Calculation Answer of Matrix & Store into MatAns

Determinate function of Matrix A-D

Transposed data in Matrix A-D

Identity of matrix

Adjoint to Matrix

Inverse of Matrix

DESCRIPTIONMATX ITEM

Press [ ]

or [ ] key

Apps

Before starting matrix calculations, you have to create one matrix

or a maximum of four matrices named A, B, C and D at one time.

The matrix dimension can be up to 4x4.

The matrix calculation results are stored into the MatAns memory

automatically. You can use the matrix MatAns memory for any

subsequent matrix calculations.

Matrix Calculations

Press to enter Matrix mode.

54

43

Editing Matrix Data

Press (Data), then specify the matrix A, B, C or D

for editing and the corresponding matrix element indicator will be

displayed.

Input the new value and press to confirm the edit.

Press to exit the matrix editing screen.

Matrix Addition, Subtraction and Multiplication

Example: MatA = , MatB = , MatA x MatB=?

! Matrices which will be added, subtracted or multiplied must be the

same size. An error occurs if you try to add, subtract or multiply

matrices whose dimensions are different from each other. For

example, you cannot add or subtract a 2 x 3 to a 2 x 2 matrix.

1 2 3

4 5 6

7 8 9

9 8 7

6 5 4

3 2 1

DisplayKey in operation

Apps

44

55

Obtain the Determinant of a Matrix

Example: Obtain the determinant of Matrix C =

<Result: -471>

Example: Multiple Matrix C = by 2 <Result: >

3 -2

-1 5

6 -4

-2 10

10 -5 3

-4 9 2

1 7 -3

Obtain the Scalar Product of a Matrix

Each position in the matrix is multiplied by a single value, resulting in

a matrix of the same size.

Display

Key in operation

Display

Key in operation

Apps

! An error occurs if you obtain the determinant of a non-square

matrix.

45

56

Transpose a Matrix

Example: Transpose Matrix B = <Result: >

9 5

6 2

8 4

Identity of Matrix

Example: Identity Matrix D

9 6 8

5 2 4

DisplayKey in operation

1 0

0 1

Apps

46

57

Invert a Matrix

Example: Inverting Matrix C =

<Result: >

Adjoint of Matrix

Example: Adjoint Matrix A < Result: >

8 2

3 6

0.142857142 -0.047619047

-0.071428571 0.19047619

DisplayKey in operation

2 3

4 5

5 -3

-4 2

DisplayKey in operation

Apps

47

58

Determine the Absolute Value of a Matrix

Example: To determine the absolute value of the inverted Matrix C in

the previous example.

Creating a Vector

Press to enter Vector mode.

Press to use the Vector tool;

DisplayKey in operation

Abs

Press to exit the matrix creating screen.

[1] Dim

[2] Data

[3] VctA to VctD

[4] VctAns

[5] Dot

Specify the Vector Name A to D, and specify the

dimension (2D or 3D)

Specify the Vector A-D for editing and corresponding

matrix element

Select Vector A to D

Calculation Answer of Vector stored into VctAns

Input the “▪” command for obtaining the dot product

of a vector Outside VCTR MODE Apps

DESCRIPTIONITEM

Apps

Before starting vector calculations, you have to create one or

more vectors named A, B, C and D (maximum four vectors at one

time).

The vector calculation results are stored into VctAns memory

automatically. You can use the vector VctAns memory for any

subsequent vector calculations.

Vector Calculations

Press to enter Vector mode.

48

59

Editing Vector Elements

Press (data), then specify the matrix A, B, C or D for

editing, and the corresponding vector element indicator will be

displayed.

Input the new value and press to confirm the edit.

Press to exit the vector editing screen.

Vector Addition and Subtraction

Example: Vector A = (9,5), Vector B = (7,3), Vector A – Vector B =?

! An error occurs if you try to add or subtract vectors whose

dimensions are different from each other. For example Vector A

(a,b,c) cannot add or subtract to or from Vector B (d,e).

DisplayKey in operation

Apps

49

60

Calculate the Inner Product of Two Vectors

Example: Calculate the inner product of Vector A and Vector B. As

Vector A = (4,5,-6) and Vector B = (-7,8,9).

Obtain the Scalar Product of a Vector

Each position in the vector is multiplied by a single value, resulting in

a vector of the same size.

s x VctA(a,b) = VctB(axs, bxs)

Example: To Multiply Vector C = (4,5,-6) by 5

DisplayKey in operation

Apps

50

61

Determine the Absolute Value of a Vector

Example: Determine the absolute value of the Vector C. When

Vector C = (4,5,-6) and is already created in the calculator.

Calculate the Outer Product of Two Vectors

Example: Calculate the outer product of Vector A and Vector B. As

Vector A = (4,5,-6) and Vector B = (-7,8,9).

! An error occurs if you try to obtain an inner or outer product of two

vectors whose dimensions are different from each other.

Abs

Display

Key in operation

DisplayKey in operation

Apps

51

62

Example : Based on Vector A=(-1, 0, 1) and Vector B=(1, 2, 0),

determine the size of the angle (angle unit: Deg) and a

unit 1 vector perpendicular to both A and B.

cos = , whereas = cos -1

Unit 1 vector perpendicular to both A and B=

< Result: =(0.666666666, -0.333333333, 0.666666666) >

Display

Key in operation

Abs

Apps

Apps Apps Apps

Apps

Apps Apps

52

63

Start? Input the lower limit of X (Default =1).

End? Input the upper limit of X (Default = 5).

*End value must be greater than the start value.

Step? Input the increment step (Default =1).

Input f(x) function to generate the function table for x & f(x).

Steps to generate a Number Table

1. Press to enter the Table function calculation.

2. Function Input screen

• Input function with X variable ( ) to generate the

Function Table Result.

• All other variables (A, B, C, D, Y) and independent

memory (M) act as the value.

• Pol, Rec, Q…r, S, functions can not be used in the

Function Input screen.

• The Function Table Calculation will change X-variable.

3. The input the start, end, & step information

• Input the value, press to confirm on the following

screens

• Input expression and display result value in following

screens are in Line mode status

• There is a maximum of 30 x-values in the function table

generation. “Insufficient Error” will be shown if the start,

end, step value combination is more than 30 x-values.

Function (x, y) Table Calculation

You should input:-Display screen

In the Function Table Result screen, you cannot edit the

content, press to return to the Function Input screen.

Example : to generate the function table for

the range , incremented in steps of 1.

f(x)=x3+3x22x

f(x)=

f(x)= X3+3X2-2X

DisplayKey in operation

d

dx

53

64

Replace the battery immediately when the display characters are

dim even with a darker LCD display contrast OR when the

following message appears on the screen. Turn the calculator off

and replace the lithium battery immediately.

Please replace the lithium battery with the following procedures,

1. Press to power off the calculator.

2. Remove the screw that securely fixes the battery cover in

place.

3. Remove battery cover.

4. Remove the old battery with the tip of a ball pen or similar

sharp object.

5. Load the new battery with positive “+” side facing up.

6. Replace the battery cover, screw, and press ,

to initialize the calculator.

Caution: Risk of explosion if battery is replaced with an

incorrect type. Dispose of used battery according to

the instructions.

Electromagnetic interference or electrostatic discharge may

cause the display to malfunction or the contents of the

memory to be lost or altered. Should this occur, press ,

to restart the calculator.

Battery Replacement

!

Low Battery

Advice and Precautions

• This calculator contains precision components such as LSI

chips and should not be used in places subject to rapid

variations in temperature, excessive humidity, dirt or dust, or

exposed to direct sunlight.

• The liquid crystal display panel is made of glass and should

not be subjected to excessive pressure.

• When cleaning the device, do not use a damp cloth or volatile

liquid such as paint thinner. Instead, use only a soft, dry cloth.

• Do not under any circumstances dismantle this device. If you

believe that the calculator is not functioning properly, either

bring or mail the device together with the guarantee to a

service representative of the Canon Business office.

• Never dispose the calculator improperly such as burning; it

can create risks of personal injury or harm. You are suggested

to dispose this product according to your national law.

• Do replace the battery once every two years even if it is not

used frequently.

54

65

Battery Caution!

• Keep the battery out of the reach of children. If the battery is

swallowed, contact a doctor immediately.

• Misuse of the battery may cause leakage, explosion, damages,

or personal injury.

• Do not recharge or disassemble the battery, it could cause a

short circuit.

• Never expose the battery to high temperatures, direct heat, or

dispose by incineration.

• Never leave a dead battery in the calculator as the dead

battery may leak and cause damage to the calculator.

• Continued use of the calculator in the low battery condition

may result in improper operation or the stored memory may

be corrupted or lost completely. Keep the written records of

important data all the time; and replace the battery as soon as

possible.

Specifications

Power Supply : Solar Cell and Lithium battery (CR2032 x 1)

Power Consumption : DC 3.0V / 0.3mW

Battery Life : Approximately 4 years

(Based on 1 hour of operation per day)

Auto power off : Approx. 7 minutes

Usable Temperature : 0° ~ 40°C

Size: 171 (L) × 86 (W) × 17.3 (H) mm (with cover) /

168 (L) × 80 (W) × 13.15 (H) mm (without cover) /

Weight: 120g (with cover) / 88 g (without cover)

* Specifications are subject to change without notice.

E-IE-455

PRINTED IN CHINA

CANON ELECTRONIC BUSINESS MACHINES (H.K.) CO., LTD.

17/F., Tower One, Ever Gain Plaza, 82-100 Container Port Road,

Kwai Chung, New Territories, Hong Kong

CANON MARKETING (MALAYSIA) SDN BHD.

Block D, Peremba Square, Saujana Resort, Section U2,

40150 Shah Alam, Selangor Darul Ehsan, Malaysia

MACHINES (H.K.) CO., LTD. 2012

Canon F 789SGA (ASA HB) English Front (revised) User Manual To The 1146703a 80a7 42ad B932 8630ee86ec30

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