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F-789SGA

SCIENTIFIC CALCULATOR
USER INSTRUCTIONS

E-IE-455

ENGLISH

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

1

How to Use the Slide Cover
Open or close the cover by sliding
as shown in the figure.

Display


S
A
M
STO
RCL
STAT
CPLX
MATX
VCTR
EQN
D
R
G
FIX
SCI
LINE
Disp

: Shift key
: Alpha key
: Independent Memory
: Store Memory
: Recall Memory
: 1-Var & 2-Var Statistics Mode
: Complex Number Calculation Mode
: Matrix Calculation Mode
: Vector Calculation Mode
: Equation Calculation Mode
: Degree Mode
: Radian Mode
: Gradient Mode
: Fixed-decimal Setting
: Scientific Notation
: Line Display Mode
: Up Arrow
: Down Arrow
: Multi-statements Display

2

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
Power OFF:

is pressed.
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
Press
Press

to darken the display contrast.
to lighten the display contrast.
or
to confirm and clear the screen.

To initialize the LCD contrast, press
outside the Display Contrast Adjustment screen.
Mode Selection
Press
screen.

to enter the Calculation Mode Selection

3

Operation

LCD
Indicator

Mode
COMP

Normal calculations

CPLX

Complex number calculation

CPLX

STAT

STAT

BASE

Statistical and regression
calculations
Calculations involving specific
number systems

EQN

Equation solution

EQN

TABLE

Function table generation

MATX

Matrix calculations

MATX

VCTR

Vector calculations

VCTR

The default mode is COMP mode.
Application Function Menu (Apps Key)

Apps

The Apps menu contains mathematical functions. In each
Calculation Mode, the listed functions are different.
Press
and corresponding number to enter the calculation
mode.
Apps
Press
to enter the Apps menu.
Press
/
for next / previous pages.
i) COMP Mode

ii) CPLX Mode

iii) STAT Mode

In SD mode

In REG mode

iv) BASE Mode
Press [
]
or [
] key

4

v) EQN Mode
Press [
]
or [
] key

vi) MATX Mode
Press [
]
or [
] key

vii) VCTR Mode

Press

Apps

Apps

to exit the Apps menu.

Calculator Set-up Menu
Press
press

/

to enter the Calculator Set-up Menu;
for next / previous page.

Press [
]
or [
] key

To select the calculator input & output format [1] Maths
or [2] Line
[1] Maths – (Mathematics mode):
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.

Line mode
LINE

For the STAT, EQN, MATX, VCTR mode, the Input & Display
format will switch to Line mode automatically.
5

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
6

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)
.
7

Inputting Expressions and Values
Input Capacity
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.
Example: 2 x log 100 x (1+3) = 16

Operation 1:
Including
*2,

Display 1

*1,
*3

2xlog(100) x (1+3)
*1

*2

16

3

Operation 2:
Omitting

Display 2
2log(100)(1+3)

*1,

*3
16

*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
8

*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
Mode Setting

1234560)

Key In operation

Display (input Line only)

Method 1: Line/Maths
mode - Insert mode
Method 2: Line mode Overwrite mode

(2) Deletion (1234567
Method 1: Line/Maths

134567)
12times

mode - Insert mode

1|34567+889900

Method 2: Line mode Overwrite mode

12|34567+889900

1234567+889900_
13times

1234567+889900
134567+889900

9

(3) Insertion (889900
Line/Maths mode -

2889900)
6times

Insert mode

1234567+|889900
1234567+2|889900

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.

MATHEMATICS MODE:
Example

Key in operation

Display

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.

Input Range and Error Messages
Calculation Precision, Input Range
Number of Digits for
Internal Calculation

Up to 18 digits

Precision

±1 at the 10th digit for a single calculation.
±1 at the least significant for exponential
display

Calculation Range

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

10

Function Calculation Input Ranges
Functions
sinx

cosx

tanx
sin-1x
cos-1x
tan-1x
sinhx

Input Range
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|

1

0

|x|

9.999 999 999x1099
230 258 509 2

0

|x|

-1x

sinh

0

|x|

cosh-1x

1

x

coshx

tanhx

0

|x|

tanh-1x

0

|x|

logx/lnx

0< x

4.999 999 999x1099
4.999 999 999x1099
9.999 999 999x1099
9.999 999 999x10-1
9.999 999 999x1099

10x

-9.999 999 999 x1099

x

99.999 999 99

ex

-9.999 999 999 x1099

x

230.258 509 2

√x

0

x2

|x|<1x1050

x3

|x|

x-1

|x|<1x10100,x

3√x

|x|<1x10100

x!
nPr
nCr

x <1x10100
2.154 434 69x1033
0

0

x

0

n < 1x1010, 0

69 (x is an integer)

1

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

r

0

n < 1x1010, 0

1

n!/r! < 1x10100 or 1

r

11

n (n,r are integers)
n (n,r are integers)
n!/(n-r)! < 1x10100

Functions
Pol(x,y)
Rec(r, )

Input Range
|x|,|y|

9.999 999 999x1099

x2+y2
0

9.999 999 999x1099

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
0°0′0″

Sexagesimal Conversions
|x|

9999999°59′59″

x>0: -1x10100 < ylog x < 100
^(xy)

x=0: y>0
x<0: y=n,m/(2n+1) (m,n are integers)
However: -1x101000: x 0, –1x10100<1/x logy<100

x√y

a b/c
i~Rand(a,b)
Rand
LCM(x,y,z)
GCD(x,y,z)

Q…r(x,y)

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
-1 5
-2 10
Key in operation

Display

Apps

Apps

Obtain the Determinant of a Matrix

10 -5 3
Example: Obtain the determinant of Matrix C = - 4 9 2

1 7 -3
Key in operation

Display

Apps

Apps

Apps

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

55

Transpose a Matrix
Example: Transpose Matrix B =

9 5
6 2
8 4

Key in operation


5 2 4

Display

Apps

Apps

Apps

Identity of Matrix
Example: Identity Matrix D

1
0

0
1

Key in operation

Display

Apps

56

Adjoint of Matrix
Example: Adjoint Matrix A

2
4

3
5

< Result:

Key in operation

5 -3
-4 2

Display

Apps

Apps

Apps

Invert a Matrix

8
3
0.142857142

0.19047619

Key in operation

Display

Apps

Apps

Apps

57

>

Determine the Absolute Value of a Matrix
Example: To determine the absolute value of the inverted Matrix C in
the previous example.
Key in operation

Display

Abs

Apps

Vector Calculations
Press
to enter Vector mode.
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.
Creating a Vector
Press
to enter Vector mode.

Press

Apps

to use the Vector tool;

ITEM

DESCRIPTION

[1] Dim

Specify the Vector Name A to D, and specify the
dimension (2D or 3D)

[2] Data

Specify the Vector A-D for editing and corresponding
matrix element

[3] VctA to VctD

Select Vector A to D

[4] VctAns

Calculation Answer of Vector stored into VctAns

[5] Dot

Input the “▪” command for obtaining the dot product
of a vector Outside VCTR MODE Apps

Press

to exit the matrix creating screen.

58

Editing Vector Elements
Apps

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 =?
Key in operation

Display

Apps

Apps

Apps

! 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).

59

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
Key in operation

Display

Apps

Apps

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).
Key in operation

Display

Apps

Apps

Apps

Apps

Apps

60

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).
Key in operation

Display

Apps

Apps

Apps

Apps

! An error occurs if you try to obtain an inner or outer product of two
vectors whose dimensions are different from each other.

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.
Key in operation

Display

Apps

Abs

Apps

61

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.
, whereas = cos -1

cos =

Unit 1 vector perpendicular to both A and B=
< Result:

=(0.666666666, -0.333333333, 0.666666666) >

Key in operation

Display

Apps

Apps

Apps

Apps

Abs
Abs

Apps

Apps

Apps

Apps
Apps

Abs

Apps

Apps

62

Function (x, y) Table Calculation
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.
d
• Pol, Rec, Q…r, S, dx
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.
Display screen

You should input:-

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).

In the Function Table Result screen, you cannot edit the
content, press
to return to the Function Input screen.
3
2
Example : f (x) = x + 3x 2x to generate the function table for

the range

, incremented in steps of 1.

Key in operation

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

63

Battery Replacement
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.
!

Low Battery
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.

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.
64

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
Power Consumption
Battery Life

: Solar Cell and Lithium battery (CR2032 x 1)
: DC 3.0V / 0.3mW
: 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.

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
© CANON ELECTRONIC BUSINESS
MACHINES (H.K.) CO., LTD. 2012

65

E-IE-455
PRINTED IN CHINA



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File Type                       : PDF
File Type Extension             : pdf
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User Access                     : Print, Extract, Print high-res
XMP Toolkit                     : 3.1-702
Creator Tool                    : Adobe Illustrator CS5
Create Date                     : 2012:07:16 10:35:31+09:00
Modify Date                     : 2012:07:16 10:38:59+08:00
Metadata Date                   : 2012:07:16 10:38:59+08:00
Thumbnail Width                 : 256
Thumbnail Height                : 140
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N Pages                         : 1
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Format                          : application/pdf
Title                           : F-789SGA (ASA HB) English front (revised)
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Producer                        : Adobe PDF library 9.90
Page Count                      : 66
Creator                         : Adobe Illustrator CS5
EXIF Metadata provided by EXIF.tools

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