Canon F-570SG User Instruction

F-570SG

User instruction

www.canon.com/calcmanual

SCIENTIFIC CALCULATOR

E-IE-483

ENGLISH

CONTENTS

Advice and Precautions ............................................................. P.2

How to Use the Slide Cover ...................................................... P.2

Display (2-Line Display) ............................................................. P.3

To Get Start

Power On, Off .......................................................................P.4

Input Capacity ......................................................................P.4

Mode Selection .....................................................................P.5

Display Formals Setting ......................................................P.6

Input Editing .........................................................................P.6

Replay, Copy and Multi-statements ......................................P.7

Calculation Stacks ...............................................................P.8

Calculation Accuracy, Input Ranges .....................................P.9

Order of Operations ............................................................P.11

Error Messages and Error Locator...................................... P.12

Before Using the Calculator ...............................................P.13

Basic Calculations

Arithmetic Calculations .......................................................P.14

Memory Calculations ..........................................................P.15

Fraction Operations ............................................................P.16

Percentage Calculations .....................................................P.17

Degree-Minutes-Seconds Calculations............................... P.18

Constant Value Calculations............................................... P.19

Metric Conversions .............................................................P.23

Engineering Notation Calculations ..................................... P.24

Fix, Sci, Norm, Round ........................................................ P.25

Functional Scientific Calculations

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

Reciprocal and Pi................................................................ P.26

Angle Unit Conversion ........................................................P.27

Trigonometry Calculations ..................................................P.27

Logarithm, Natural Logarithm, Antilogarithm and Logab ....P.28

Coordinate Conversion ......................................................P.29

Complex Number Calculations ...........................................P.29

Base-n Calculations and Logical Calculations ....................P.31

Statistical Calculations .............................................................P.33

Standard Deviation ............................................................P.34

Regression Calculations ....................................................P.34

Distribution Calculations .....................................................P.38

Permutation, Combination, Factorials and Random

Number Generation ...........................................................P.39

Equation Calculations............................................................... P.40

Solve Function........................................................................... P.43

CALC Function ..........................................................................P.44

Differential Calculations ...........................................................P.45

Integration Calculations............................................................P.46

Matrix Calculations ...................................................................P.47

Vector Calculations................................................................... P.51

Battery Replacement................................................................. P.55

Specifications ...........................................................................P.56

1

ADVICE AND PRECAUTIONS

This calculator contains precision components such as
LSI chips and should not be used in place 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 a
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 the service representative of a Canon business office.

HOW TO USE THE SLIDE COVER

Open or close the cover by sliding as shown in the figure.

F-570SG

OPEN

F-570SG

CLOSE

2

DISPLAY (2-LINE DISPLAY)

Extension mark (Shows the presence of hidden formula)

Status indicators

Mantissa

minus sign

Formula (12 characters)

<Status Indicators>

: Shift key
: Alpha key
M : Independent memory
STO : Store Memory
RCL : Recall Memory
hyp : Hyperbolic key
SD : Statistic Mode
REG : Regression Mode
CPLX : Complex Number Calculation Mode
MATX : Matrix Calculation Mode
VCTR : Vector Calculation Mode
EQN : Equation Calculation Mode
: Degree Mode
: Radian Mode
: Gradient Mode
FIX : Fixed-decimal Setting
SCI : Scientific Notation
Eng : Engineering Notation

: Polar Coordinate
: Angle value

: Switch between Real and Imaginary Number
: Imaginary number
Disp : Multi-statements Display

: Up Arrow

: Down Arrow

Mantissa

Next or
Previous
page

Exponent
minus sign

Exponent

3

TO GET START

Power ON, OFF

First time operation:

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

2. Press to initialize the calculator.

(Power ON/Clear): Turns on the calculator when it is pressed.

(Power OFF): Turns off the calculator when it is pressed.

Auto Power Off Function:

When the calculator is not used for about 7 minutes, the
calculator will automatically power off. In such a case, pressing
key powers the calculator on again.

Input Capacity

F-570SG allows you to input a single calculation up to 79 steps. One
step is used as each time you press one of the numeric keys,
arithmetic keys, scientific calculation keys or key. , ,
and the direction keys will not use up any step.

Starting from the 72nd step, the cursor changes from [ _ ] to [ ] that
notifying the memory is running low. In case you need to input a
single calculation with more than 79 steps, you should separate your
calculation into two or more segments.

4

MODE Selection

Press to start the calculation mode selection with the
following display:

When pressing or , you can access the next (or previous
mode selection page.
The following table shows the mode selection menu:

Operation

COMP Normal Calculation

CPLX

SD Statistical Calculation SD

REG Regression Calculation REG

BASE Base-n Calculation d / h / b / o

EQN Equation Calculation EQN

MAT Matrix Calculation MATX

VCT Vector Calculation VCTR

Deg Degree D

Rad Radian R

Fix Fixed-decimal Setting FIX

Sci Scientific Notation SCI

Norm Exponential Notation

Disp*1 Display Setup Selection

*1 Display Setup Selection options
First page : Press [EngON] or [EngOFF] for engineering

: Press [ab/c] or [d/c] to specify mixed fraction or

: Press [Dot] or [Comma] to specify decimal

[Dot] : The decimal point is indicated by dot and

[Comma] : The decimal point is indicated by

symbols on or off.

improper fraction display.

point or 3-digits separator symbols.

the 3-digits separator is indicated by comma.

common and the 3-digits separator is indicated by dot.

Gra Gradient G

Mode

Complex Number Calculation

• To check or clear the calculation mode, refer page13.

Indicator

CPLX

LCD

5

Display Formats Setting

F-570SG can display a result up to 10 digits. Results exceed the digit
limit will be automatically displayed by exponential notation format.

Example : Change the display formats for 1.23 x10

Display Setting Display (Lower)Operation

Default setting :
Norm 1, EngOFF
Scientific Notation : 1.23
"5" significant digits 1.2300 x10
Exponential Notation : Norm 2
Fixed decimal places : "7" 0.0012300

0.00123

* For Norm 1 and Norm 2, refer page 25.

Example : 1.23 x10

–03

= 1.23 m (milli)

Display Setting DisplayOperation

Engineering Symbols : On 123x.00001 m

1.23
Display without engineering
symbols 123x.00001

0.00123

Input Editing

New input begins on the left of the upper (entry) line. As the entries
are more than 12 digits, the line will scroll to the right consecutively.
Press to scroll the cursor within the upper (entry) line and
you can perform input editing as needed.

Example (under editing):

1234567 889900

Replacing an entry (1234567 1234560)

Display Setting Display (Upper)Operation

Press or keep pressing until
"7" blinks 1234567+8899

Replace with "0" 1234560+8899

–03

–03

x10

–03

6

Deletion (1234560 134560 )

Display Setting Display (Upper)Operation

Press or keep pressing until
"2" blinks 1234560+8899

"2" is deleted 134560+88990

Insertion (889900 2889900)

Display Setting Display (Upper)Operation

Press or keep pressing until
"8" blinks 134560+88990

"8" and blinks alternately 134560+88990

Insert "2", "8" still blinking 134560+28899

Replay, Copy and Multi-statements

Replay

• Replay memory capacity is 128 bytes that can store calculation

expressions and results.

• After the calculation is executed, the calculation expression and

its result will be stored in the replay memory automatically.

• Pressing (or ) can replay the performed calculation

expressions and results.

• Replay memory is cleared when you.

i) Initialize calculator setting by (or ) .
ii) Change from one calculation mode to another.

Copy

• Press after replayed the previous calculation
expressions (statements) can make a multi-statement with the
current calculation expression.

7

Multi-statements

• You can put two or more calculation expressions together by

using a colon .

• The first executed statement will have [Disp] indicator; and the

[Disp] icon will disappeared after the last statement is being
executed.

Example :

Operation

8 + 9 17.

5 x 2 10.

Display (Lower Line)Display (Upper line)

Disp

Ans + 6 16.

8 + 9 17.

5 x 2 10.

9 : 5 x 2 : Ans + 6

17.

Disp

Disp

Ans + 6 16.

Calculation Stacks

This calculator uses memory areas, called "stacks", to temporarily

store numeric value (numbers) and commands (+ – x ...)
according to their precedence during calculations.

The numeric stack has 10 levels and the command stack has 24

levels. A stack error [Stack ERROR] occurs whenever you try to
perform a calculation that exceeds the capacity of stacks.

Matrix calculations use up to two levels of the matrix stack.

Squaring a matrix, cubing a matrix, or inverting a matrix uses one
stack level.

Calculations are performed in sequence according to "Order of

Operations". After the calculation is performed, the stored stack
values will be released.

8

Calculation Accuracy, Input Ranges

Internal digits: Up to 16
Accuracy*: As a rule, accuracy is 1 at the 10th digit.
Output ranges: 1 x 10

–99

to 9.999999999 x 10

99

Function Input Range

sin x Deg 0 | x | <9x10

9

Rad 0 | x | <157079632.7

10

Grad 0 | x | <1x10

cos x Deg 0 | x | <9x10

10

Rad 0 | x | <157079632.7

10

Grad 0 | x | <1x10

tan x Deg Same as sinx, except when | x | =(2n-1)x90

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

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

–1

x 0 | x | 1

sin

–1

x

cos

–1

x 0 | x | 9.999999999x10

tan

99

tanhx

sinhx 0 | x | 230.2585092

coshx

-1

x 0 | x | 4.999999999x10

sinh

cosh-1x 1 x 4.999999999x10

tanh-1x 0 | x | 9.999999999 x10

logx 0< x 9.999999999x10

99

99

–1

99

lnx

x

–9.999999999x1099 x 99.99999999

10

x

–9.999999999x1099 x 230.2585092

e

x 0 x < 1x10

X2 | x | < 1x10

X3 | x | 2.15443469x10

X–1 | x | < 1x10

3

x | x | < 1x10

100

50

33

100

; x≠0

100

X! 0 x 69 (x is an integer)

9

Function Input Range

nPr 0 n < 1x1010, 0 r n (n, r are integers)
1 {n!/(n-r)!}
nCr 0 n <1x1010, 0 r n (n, r are integers)
1 n!/r! 1x10
Pol(x,y) | x |, | y | 9.999999999x10
x2+y2 9.999999999x1099
Rec(r, ) 0 r 9.999999999x10
: Same as sinx, cosx

| a |, b, c < 1x10

˚ ' "

0 b, c
| x |

Decimal Sexagesimal Conversions

<

˚ ' "

0
x>0: –1x10

y

^(x

) x=0: y > 0

x
However: –1x10
y

x

y y=0: x > 0

y
Total of integer, numerator, and denominator must be

b

a

c

10 digits or less (including division marks).
I~Rand(a,b) 0 a<1x10
(a,b should be positive integers or 0)

< 1x10

º0'0"

| x | 999999º59

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

>0: x≠0, –1x10

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

100

1 x10

100

or 1 n!/(n-r)! < 1x10

100

100

100

< y logx < 100

100

< y log | x | <100

100

< 1/xlog< 100

10

, 0 b<1x10

100

99

99

'59"

10

Rand Result generates a 3 digit pseudo random number
(0.000~0.999)
Single-variable

| x | <1x10
Paired-variable

| x | <1x10

| y | <1x10

ABS | x | <1x10
Positive :
BIN

100

<1x10

<1x10

100

100

100

100

100

|FREQ|

|FREQ|

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
DEC Positive : 0 ~ 2147483647
Negative : –2147483647 ~ –1
OCT Positive : 0 ~ 177 7777 7777
Negative : 200 0000 0000 ~ 377 7777 7777
HEX Positive : 0 ~ 7FFF FFFF
Negative : 8000 0000 ~ FFFF FFFF

10

*For a single calculation, the calculation error is ±1 at the 10th digit.
For exponential display, calculation error is ±1 at the last significant
digit. Errors are cumulative in the case of consecutive calculations,
which can cause them to become larger. (This is also true as internal
consecutive calculations are performed in the case of ^(xy), x y, x!,
nPr, nCr, etc.). In the vicinity of a function's singular point and point of
inflection, errors are cumulative and may become large.

Order of Operations

The calculator will automatically determine the operation priority. This
means that algebraic expressions can be entered just as they are
written and the calculation priority is as follows:

1st Priority

2nd
3rd

4th

5th
6th
7th

8th

9th

10th

11th
12th
13th
14th
15th
16th

Recall memory (A - F, X, Y), Rand

Calculation within parentheses ( ).
Function with parentheses that requests the input
argument to the right Pol(, Rec(, Abs(, i~Rand(, logab(,
d/dx, dx, P(, Q(, R(,
Statistic points: Max, Min, Med
Functions that come after the input value preceded by
values, powers, power roots : x
Statistical estimated value calculation:
Percent %, EXP
Engineering symbols (T, G, M, k, m, µ, n, p, f)
metric conversion commands (cm in, etc)
^(, x
Fractions: a b/c, d/c
Prefix symbol: (–) (negative sign),
Base-n symbols (d, h, b, o, Neg, Not)
Multiplication where sign is omitted: Multiplication sign
omitted immediately before , e, variables (2 , 5A,
A, etc.)
Function that come before the input value without
parentheses. sin, cos, tan sin

–1

, cosh–1, tanh–1, log, In, e^, 10^, , 3 , Arg,

tanh, sinh
Conjg, Det, Trn
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

2

, x3, x–1, x!, ° ' ", °, r, g,

x, y, x1, x2, t

ˆ ˆ ˆ ˆ

–1

, cos–1, tan–1, sinh, cosh,

×,

÷

+, –

11

Operations of the same precedence are performed from right to left.
For example: e
performed from left to right

Operations enclosed with parentheses are performed first. When a
calculation contains an argument that is a negative number, the
negative number must be enclosed within parentheses.
Example: (–2)

x

ln 120 ex{ln( 120)}. Other operations are

4

= 16; and –24 = –16

Error Messages and Error Locator

The calculator is locked up while an error message is shown on the
display to indicate the cause of the error.
Press to clear the error, or
Press or to display the calculation with the cursor

positioned under the error and you can correct it accordingly.

Error Message

Math ERROR

Stack ERROR The capacity of the

Syntax ERROR An attempt to perform an

Cause Action

• Calculation 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.)

numeric stack or operator
stack is exceeded.

problematic format of the
calculation

12

• Check your input values
and make sure they are
all within the allowable
ranges. Pay special
attention to values in any
memory areas you are
using.

• Press or to display
the calculation with the
cursor located at the
location of the error and
make required corrections.

Simplify the calculation.
The numeric stack has 10
levels and the operator
stack has 24 levels.
Divide your calculation into
two or more separate
parts.

Press or to display
the calculation with the
cursor located at the
location of the error and
make required corrections.

Error Message

Arg ERROR Improper use of an

Dim ERROR • Under Matrix and Vector

Solve ERROR Can’t get the result by

Cause Action

argument.

mode, the dimension
(row, column) over three.

• An attempt to perform an

illegal matrix/vector
operation.

solve function.

Press or to display
the location of the cause of
an error and make required
corrections.

Press or to display
the location of the cause of
an error and make required
corrections.

Press or to display
the location of the cause of
an error and make required
corrections.

Before Using the Calculator

Check the current Calculation Mode

Be sure to check the status indicators that indicate the current
calculation mode (CPLX, SD... etc) and angle unit setting (Deg, Rad
Gra) before starting a calculation.

Return Calculation Mode to the initial setup

You can return the calculation mode to the initial default by pressing

(Mode)

Calculation Mode : COMP
Angle Unit : Deg
Exponential Display Format : Norm 1, Eng Off
Complex Number Display Format : a+bi
Fraction Display Format : a b/c
Decimal Point Character : Dot

, and this action will not clear the variable memories.

Initialize the Calculator
When you are not sure the current calculator setting, you are
recommended to initialize the calculator (calculation mode "COMP",
angle unit "Degree", and clear replay and variable memories) by
performing the following key operations: (All) .

13

BASIC CALCULATIONS

BASIC CALCULATIONS

Press to enter COMP mode as you want to perform

basic calculations.

During the busy calculation, the calculator will display the

message [PROCESSING].

Arithmetic Calculations

•

To calculate the negative values (excludes the negative exponent),
you have to enclose them with parentheses.

• To input the negative vaues, use .

Calculation Expression

• This Calculator supports 24-level of parenthetical expression.

• You can omit the close parentheses as the calculation ends

with or .

Calculation Expression

! When the number of is more than , [SYNTAX Error] will

be shown.

Display (Result)Operation

Display (Result)Operation

14

Memory Calculations

Memory Variables

• There are 8 memory variables (A through F, X and Y) which store

data, results, or dedicated values.
To store values into memory by pressing + Memory variable.

•

• To recall memory values, press + Memory variable.

• Memory content can be cleared by simply pressing +

Memory variable.

Example: 23 + 7 (Store to A), calculate sin (memory A), and clear

memory A

Calculation Operation

Independent Memory

•

Independent memory uses the same memory area as variable M.
It is convenient for calculating cumulative total by just pressing

(add to memory) or (subtract from memory); and the

memory contents are retained even when the calculator is turned off.

• To clear independent memory (M), input .

! When you want to clear all memory values, press

(Mcl)

Answer Memory

• The input values or the most recent calculation result will be

automatically stored into Answer Memory whenever you press ,

, , or followed by a memory variables.

• If you continue with pressing an operator key (x2, x3, x-1, x!, %, +,

–, x,

, DRG , ^, x , nPr and nCr), the displayed value will be

÷

changed into [Ans] plus the operator key. Then, you can perform a
new calculation with the latest Answer Memory.

Calculation Operation Display (Lower)Display (Upper)

Display (Upper Line)

Display (Lower Line)

15

• You can recall and use the latest stored Answer Memory by

pressing .

Calculation Operation Display (Lower)Display (Upper)

! Answer Memory is not updated as an error operation had been

performed.

Fraction Operations

The Calculator support Fraction Calculation and the conversions
between Fraction, Decimal point, Mixed fraction and Improper
fraction.

Fraction Calculation, Fraction Decimal point conversion

Example Display (Lower)Operation

(Fraction

Decimal)

• Result will be displayed in decimal format automatically whenever

the total digits of a fractional value (integer + numerator +
denominator + separator marks) exceeds 10.

• As a fraction calculation is mixed with decimal value, the result will

be displayed by decimal format.

Decimal Mixed fraction Improper fraction conversion

Example Display (Lower)Operation

(Decimal Mixed Fraction)
(Mixed Fraction
Improper Fraction)

• Fraction conversion may take as long as two seconds.

16

! You can specify the fraction calculation result (when the result

greater than one) display format by either mixed fraction or
improper fraction. Simply press [Disp] , then

press the corresponding setting you need:
a b/c : Mixed fraction
d/c : Improper fraction

Percentage Calculations

You can perform the following percentage calculations:

Basic : To calculate a certain percentage of a value
(A B ).
: Percentage of a value against another value
(A B ).

Example Display (Lower)Display (Upper)Operation

To calculate 25%
of 820

The percentage of
750 against 1250

Mark up and Discount

Example

820 mark up
25%

820 have 25%
discount

Operation

Display (Upper)

Display (Lower)

Percentage Increase : If "A" is added to "B", the percentage

Percentage Change : If "A" is changed into "B", the percentage

increase from "B" is:

change from "A" to "B" is:

17

Example Display (Lower)Display (Upper)Operation

300 is added to 750, (300+750) 75 140.
the percentage
increase of 750 is

25 increased into 30, (30–25) 25x1 20.
the percentage change
of 25 is

Percentage Proportion : the ratio/ percentage of each individual

If A + B + C = D
"A" is a% of "D" where a = x 100%

Examples: To calculate the ratio of each portion as 25+85+90=200

(100%), the ratio of 25 is 12.5%, 85 is 42.5%, 90 is 45%

Operation

* You can store the sum of value into memory variables, then recall

and use the value by pressing or + Memory variable.

portion in a calculation expression.

A
D

Display (Upper)

Display (Lower)

Degree-Minutes-Seconds Calculations

You can use 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

Examples Display (Lower)Operation

86o37' 34.2'' 0.7 =

o

123

45'6'' 123o45o6.

o

123

45'6''

123.7516667

123.7516667

o

2.3456 2

20'44'' 2o20o44.16

18

Constant Value Calculations

F-570SG has total 79 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 button. The

selection cursor will shift left or right to underline a constant symbol

and at the same time the display lower line 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

underling 0 0.

Operation Display

(menu selection page)

(confirm selection)

19

Scientific Constant Table

NO.

Proton mass

Neutron mass

Electron mass

Muon mass

Bohr radius

Planck constant

Nuclear magneton

Bohr magneton

Fine-structure constant

Classical electron radius

Compton wavelength

Proton gyromagnetic ratio

Proton Compton wavelength

Neutron Compton wavelength

Rydberg constant

(unified) atomic mass unit

Proton magnetic moment

Electron magnetic moment

Neutron magnetic moment

Muon magnetic moment

Faraday constant

Elementary charge

Avogadro constant

Boltzmann constant

Molar volume of ideal gas

Symbol

1.672621777x10

1.674927351 x10

9.10938291x10

-31

1.883531475x10

0.52917721092x10

6.62606957 x10

5.05078353 x10

927.400968 x10

-34

-27

-26

1.054571726 x10

7.2973525698x10

2.8179403267x10

2.4263102389 x10

2.675222005 x10

1.32140985623 x10

1.3195909068x10

10973731.568539

1.660538921 x10

1.410606743x10

-928.476430x10

-26

-0.96623647 x10

-4.49044807 x10

96485.3365

1.602176565x10

6.02214129x10

1.3806488 x10

22.413968 x10

23

-23

-3

UnitValueConstant

-27

-27

-28

-10

-34

-3

-15

-12

8

-15

-15

-27

-26

-26

-26

-19

Molar gas constant

Speed of light in vacuum

First radiationn constant

Second radiation constant hc/k

20

8.3144621

299792458

3.74177153x10

1.4387770 x10

-16

-2

NO.

Stefan-Boltzmann constant

Electric constant

Magnetic constant

Magnetic flux quantum

Standard acceleration of gravity

Conductance quantum

Characteristic impedance of vacuum

Celsius temperature

Newtonian constant of gravitation

Standard atmosphere

Proton g-factor

Planck length

Planck time

Planck mass

Atomic mass constant

Electron volt:

Molar planck constant

Wien displacement lawconstant

Lattice parameter of Si(in vacuum, 22.5▫C)

Hartree energy

Loschmidt constant

Inverse of conductance quantum

Josephson constant

Von Klitzing constant

Thomson cross section

Electron magnetic moment auomaly

Electron g-factor–2(1 + ae)

Electron gyromagnetic ratio

Muon magnetic moment anomaly

Muon g-factor-2

Symbol

UnitValueConstant

Pa

21

NO.

Muon Compton wavelength

Tau Compton wavelength

Tau mass

Shielded proton magnetic moment
moment (H2O, sphere, 25ºC)

Neutron g-factor

Neutron gyromagnetic ratio

Deuteron mass

Deuteron magnetic moment

Helion mass

Shielded helion magnetic
moment (gas, sphere, 25ºC)

Shielded helion gyromagnetic ratio

(gas, sphere, 25ºC)

Molar planck constant

Shielded proton gyromagnetic ratio
(H2O, sphere, 25ºC)

Proton magnetic shielding
correction
sphere, 25ºC)

Symbol

! Constant value cannot perform rounding.

Source: CODATA Internationally 2010
http://physics.nist.gov/constants

UnitValueConstant

22

Metric Conversions

F-570SG has 172 patterns of unit conversions to convert a value to
specified metric units. There are 8 categories including distance, area,
temperature, capacity, weight, energy, pressure and speed.

• Press to enter the conversion menu.

• Press or to select the category .

• Press or then to select the start unit.

• Press or then to select the end unit. You can preview

the value before pressing .

Page UnitSymbol

feet feet
m meter
mil milliliter
mm millimeter
1 in inch
cm centimeter
yd yard
mile mile
km kilometer
ft
yd
m
2 mile
km
hectares hectare
acres acre

3

gal gallon (U.K.)
liter liter
4 B.gal gallon (U.S.)
pint pint
fl.oz fluid ounces (U.S.)
Tr.oz ounce (troy or apothecary)
oz ounces
5 lb libra
Kg kilogram
g gram
J joule

6

cal.f calorie
atm standard atmosphere
Kpa kilopascal

7

mmHg millimeter of mercury
cmH
m/s Meter per second

8

km/h Kilometer per hour

2

square foot

2

square yard

2

square meter

2

square mile

2

square kilometer

o

F degree

o

C degree Celsius

O centimeter of water

2

23

• You can go back to the calculation mode instantly as the key

is pressed within the category selection pages. But after selected

the base conversion unit, , or keys will be invalid.

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

Operation Display

(enter the conversion menu)

2

(select ft

)

(convert to m2)

(calculate the answer)

! If the converted result is overflow, [-E-] will be shown in the lower

display. User cannot press to select the over flow value but

following scenario are valid:

Scenario A - Keep selecting the other conversion value by

Scenario B - Clear the screen by and jump out the

Scenario C - Pressing to jump back to previous

pressing or .

selection.

calculation screen.

Engineering Notation Calculations

Following nine symbols can be used when engineering symbols are
turned on by pressing and the LCD will display
[Eng].

Operation UnitUnit

k Kilo 10

M Mega 10

G Giga 10

T Tera 10

m Milli 10

Micro 10

n Nano 10

p Pico 10

f Femto 10

3

6

9

12

-3

-6

-9

-12

-15

24

Example: Convert 0.0007962 second into nano-second =
796200 x 10-9

Operation Display (Lower)Display (Upper)

796,200.

Example: 0.128 gram + 9.3 kilogram = 9300.128 gram

Fix, Sci, Norm, ROUND

You can change the number of decimal point, the number of
significant digits, or the exponential notation criteria by pressing
to the following selection screen:

Press (Fixed Decimal Setting)

Press (Scientific Notation) : [ Sci 0 ~ 9? ] appears on the

Press (Exponential Notation) : [ Norm 1 ~ 2? ] appears. Then,
you can specify the exponential

or .

Norm 1 : Exponential notation is automatically used for integer

values with more than 10 digits and decimal values
with more than two decimal point.

Norm 2 : Exponential notation is automatically used for integer

values with more than 10 digits and decimal values
with more than nine decimal point.

: [ Fix 0 ~ 9? ] appears on the

display. Then, you can specify the
number of decimal places by
pressing ~ .

display. Then, you can specify the
number of significant digits by
pressing ~ .

notation format by pressing

• To clear the setting, refer page 13.

(internal rounding) : Calculate the value or formula result to

decimal, round it off to the significant
decimal place according to the current
specified indication digit setting
(Fix, Sci, Norm).

25

Examples: 57

At default setting. 162.8571429
To fix 4 digits decimal point.
(Internal calculation continues 162.8571
16 digits) 8.1429

162.8571

Perform internal rounding 8.1429
under the specified decimal
setting. 162.8580

To display by 6 digits scientific 1.62858
notation.

Notation format by pressing 162.858
to clear the FIX and Sci
specifications.

÷ 7 x 20 = ??

Operation

Display (Lower)

x10

FUNCTIONAL SCIENTIFIC CALCULATIONS

Press to enter COMP mode for performing functional

scientific calculations.

During the busy calculation, the calculator will display the

message [PROCESSING].

= 3.14159265359

Square, Root, Cube, Cube Root, Power, Power Root,
Reciprocal and Pi

 Square Root   CubeCube Root
 PowerPower Root  Reciprocal Pi

Example:

Operation Display (Lower)Display (Upper)

02

Example:

Operation Display (Lower)Display (Upper)

26

Angle Unit Conversion

The calculator default angle unit setting is "Degree". If you need to
change into "Radian" or "Gradient", you can press a number of
times until you reach the setup screen:

Then press the corresponding number key , or for the
angle unit you need. Then the display will show the D , R or G
indicator accordingly.

To convert an angle unit between "Degree", "Radian" and "Gradient",
you can press and the following display menu will be shown:

Then, press , or will convert the displayed value into the
selected angle unit. If you want to indicate the value with other degree
unit after conversion, change the unit using .

Example: Convert 180 degree into radian and gradient
(180

º

Rad

= 200

Gad

)

=

Operation Display (Lower)Display (Upper)

(Radian mode)

(Gradient mode)

Trigonometry Calculations

Before using the trigonometric functions (except hyperbolic
calculations), select the appropriate angle unit (Deg/ Rad/ Gad)
by .

o

90

= ; Radian = 100 Gradient.

27

Trigonometric (sin/ cos/ tan), Inverse Trigonometric

-1

(sin

/ cos-1/ tan-1) Functions

Examples Display (Lower)Operation

Degree Mode

sin 53o 22’ 12” = 0.802505182

0.802505182

.0

cosec x = 1/sinx 1.414213562

o

cosec 45

= 1.414213562

-1

tan

(5/6) = 39.80557109° 39.80557109

Radian Mode

Rad

cos( /6)

0.785398163 0.785398163

1

-1

— =

cos

2

Hyperbolic (sinh/ cosh/ tanh), Inverse Hyperbolic

-1

(sinh

/ cosh-1/ tanh-1) Functions

)daR( 52.0

Examples Display (Lower)Operation

Logarithm, Natural Logarithm,
Antilogarithm and Logab

Examples Display (Lower)Operation

log 255 + ln 3 = 3.505152469

–3

1.2

+ 10

= 15.89871899

e

3.505152469

log

81 – log 1 = 4

3

.0

304520668.0 304520668.0 =

52.0

99817898.51

.4

28

Coordinate Conversion

With polar coordinates, you can calculate and display result

within –180
After conversion, results will automatically assigned to memory

variables E and F.

: To convert rectangular coordinates (x, y) to polar

Degree Mode

With rectangular coordinate 2.

(x =1,y = 3). Find Polar

coordinate (r, ) at degree 60.

mode 2.

o

180o range. (Same as Radian and Gradient)

coordinates ( r , ); Press to display the value

of r, or to display the value of .

Examples

Operation

Display (Lower)

.0

: To converts polar coordinates ( r , ) to rectangular

! [Syntax ERROR] will be shown if is missed in the coordinate

coordinates (x, y); Press to display the value of

x, or to display the value of y.

Examples

With Polar coordinate (r=2,
=60º). Find rectangular
coordinate (x,y) at degree
mode

Operation

conversion calculation.

Display (Lower)

1.732050808

Complex Number
Calculations

Complex numbers can be expressed by rectangular form (z = a + bi)
or polar form (r ). Where " a " is the real number part, " bi " is the
imaginary number part (and i is the imaginary unit equal to square
root of –1,
the complex number.

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

Imaginary axis ( i )

Real axis

29

1.

1.

As you need to perform the complex number calculation
Press to enter CPLX mode.
Check the current angle unit setting (Deg, Rad, Grad).
The indicator will be shown as the calculation result having

complex numbers. Just press to switch the result

display.
[ ] icon indicate the display result is imaginary number part;
[ ] indicate the display value is the argument value .
But the imaginary numbers will use up replay memory capacity.

Displaying the complex number calculation result

Pressing , following display options will be shown:

a+bi r

1 2

You can set up the complex number calculation result display format
by pressing:
: Rectangular form (Default setting).
: Polar form (the [r ] display indicator will be turned on).

Example: (12+3 ) – (3 + 1 ) = 9 + 2 = 9.219544457 (r)

12.52880771 ( )

Operation (Angle Unit: Degree) Display (Lower)Display (Upper)

(12+3i)-(3+i 9.

(12+3i)-(3+i 2.

(12+3i)-(3+i 12.52880771

(change display value)
(12+3i)-(3+i 9.219544457

Rectangular Form Polar Form Conversion

Press can convert rectangular form complex number into
polar form; whereas press will convert polar form complex
number into rectangular form.

Example: 3 + 4

Operation (Angle Unit: Degree) Display (Lower)Display (Upper)

3 4 3 + 4i > 5

3 + 4i > 53.13010235

= 5 53.13010235

30

Example:

2 45>a+bi 1.

2 45>a+bi 1.

Absolute Value and Argument Calculation

With the rectangular form complex number, you can calculate the
corresponding absolute value (r) or argument ( ) by or
key respectively.

Example: What's the absolute value (r) and argument ( ) if complex

Abs ( 6+8i 10.

Arg ( 6+8i 53.13010235

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.

2 45 = 1 +

Operation (Angle Unit: Degree) Display (Lower)Display (Upper)

number is 6+8

Operation (Angle Unit: Degree) Display (Lower)Display (Upper)

Example: The conjugate of 3 + 4 is 3 – 4

Operation (Angle Unit: Degree) Display (Lower)Display (Upper)

Conjg ( 3+4i 3.

Conjg ( 3+4i – 4.

Base-n Calculations and Logical Calculations

Press to enter Base-n mode for decimal (base 10),

hexadecimal (base 16), binary (base 2), octal (base 8), or logical

calculations.
Default base number system is Decimal with [d] display indicator
To select a specific number system in base mode, simply press
Decimal [d], Hexadecimal [H], Binary [b], or
Octal [o].
The key allows you to perform logical calculations includes:

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-digit, [1b] /

[1o] will be displayed to indicate the result has next block. Keep

pressing can loop between result blocks.
All the scientific functions cannot be used, and you cannot input

the value with decimal place or exponent.

31

Binary Calculation
Example: 10101011 + 1100 – 1001 x 101 10 = 10100001

(at Binary Mode)

Operation Display (Lower)Display (Upper)

10101011+110 10100001.

Octal Calculation
Example: 645 + 321 – 23 x 7 2 = 1064 (at Octal Mode)

645+321-23x7 1064.

Hexadecimal Calculation
Example: (77A6C + D9) x B F = 57C87 (at Hexadecimal Mode)

(77A6C + D9) x B 57C87.

b

o

H

Base-n transformation

12345+b101 12352.

12345+b101 14EA.

12345+b101 11101010.

(go to next block of the result) 12345+b101 10100.

12345+b101 11101010.

o

H

1b

2b

1b

Logical Operation

Examples

(Hexadecimal Mode)

789ABC Xnor 147258 FF93171b.

Display (Lower)Operation

H

Ans Or 789ABC FFFb9FbF.

Neg 789ABC FF876544.

! Beware of the allowable input range of each number system
(page 10).

32

H

H

STATISTICAL CALCULATIONS [SD] [REG]

To enter the standard deviation mode by pressing ,
[SD] indicator lights up. If press , you can enter the

regression mode selection menu. [REG] indicator will be turned on.
Before starting, be sure to clear the statistic memory by pressing
.
Perform the data input (Precautions!).

• In SD mode, store the displayed data by pressing .

• In REG mode, store the x-data and y-data in the form of:

x-data y-data .

• Pressing will input the same data twice.

• Use for same data multiple entries. For example in SD

mode, the data 20 has 8 times will press 20 8 .

• Each time you press to register the input, the number of

data input up to that point is indicated on the display once

(n = the number of input data).

• Press or key during or after data input can display the

data value (x) and data frequency (Freq). Follow with the above
example, press will display [x1 = 20], and press will
display [Freq1= 8].

• To edit the stored data, input the new value during the display

of that data value (x) after pressing or key, and then
press to confirm the edit. But, if you press instead of

,a new data value will be stored.

• Press can delete the data during the display of that

data value (x) after or key is pressed; and the
sequence of the data which following the deleted data will be
shifted up automatically.

• Press key to exit the data value and frequency display,

then you can perform other calculation operations.

• Input data are stored in calculation memory. As the memory full,

[Data Full] will be displayed and you cannot input or perform
any calculation. Press key to perform other calculation
operations.

• After changing into another mode or regression type (Lin, Log,

Exp, Pwr, Inv, Quad), input data will be cleared.

After finishing data entries, you can recall or calculate the

statistical values.

33

Standard Deviation

Press to ender SD mode.
Before starting, be sure to clear the statistical memory by

pressing .
You can recall the following statistical value after input all the

data.

Value OperationSymbol

Square of Sum x

Summation of x x

Number of data sample n

Mean of x x

Population Standard Deviation of x x

Sample Standard Deviation of x x n-1

Example: To calculate x2, x, n, x, x n , and x n-1 of data: 75, 85,

90, 77, 77 in SD mode.

Operation Display (Lower)

n = 5.

(select Scl, clear Stat. memory)

2

n

Display (Upper)

Stat clear 0.

x

x 404.

n 5.

x 80.8

x

x

2

32,808.

n 5.741080038

n-1 6.418722614

Regression Calculations

Press to ender REG mode, then the follow screen

options will be shown:

Lin Log Exp

1 2 3

Press , or for the corresponding regression
[Lin] = Linear regression
[Log] = Logarithmic regression
[Exp] = Exponential regression

34

If follow with or another regression options will be displayed
as follow:

Pwr Inv Quad

1 2 3

You can press , or for the corresponding regression
[Pwr] = Power regression
[Inv] = Inverse regression
[Quad] = Quadratic regression

Before starting, be sure to clear the statistical memory by pressing
.

Input data in the form of x-data y-data . Use

for same data multiple entries.

Press can delete the data during the display of data

value after or key is pressed.

You can recall and use the following regression results:

Value OperationSymbol

Summation of all x2 value x2

Summation of all x value x

Number of data sample n

Summation of all y2 values y2

Summation of all y values y

Summation of all xy pairs xy

Mean of the x values x

Population Standard Deviation of x x n

Sample Standard Deviation of x x

Mean of the y values y

Population Standard Deviation of y y n

Sample Standard Deviation of y y

Regression coefficient A

Regression coefficient B

n-1

n-1

35

For non-quadratic regression

Correlation coefficient r

Regression estimated value x

Regression estimated value y

For Quadratic regression only

Summation of all x

3

values x

3

Summation of all x2y pairs x2y

Summation of all x4 values x

4

Regression coefficient C

Regression estimated value x 1 x

Regression estimated value x 2 x

1

2

Regression estimated value y y

Linear regression

• The Linear regression formula is in relation to two variables:

y = A + Bx

• Example: By the following investment and yield table, calculate

the linear regression (regression coefficient A, regression

coefficient B) of capital investment verse yield, the correlation

coefficient, the yield percentage at 45 thousand unit of

investment, and the investment unit at 180% yield.

Investment (thousand unit) Yield (%)

20 120

30 126

40 130

50 136

60 141

36

Display

Operation

(Upper)

Display (Lower)

Logarithmic, Exponential, Power, and Inverse Regression Formulas

• Loarithmic Regression : y = A + Blnx

• Exponential Regression : y = Ae

• Power Regression : y = Ax

• Invere Regression : y = A+Bx

Quadratic Regression

• The quadratic regression is in relation to the formula:

y = A + Bx + Cx

• Example: ABC company investigated the effectiveness of the

advertisement expenses in coded units, the following data were
obtained:

2

Bx

(lny = lnA + Bx)

B

(lny = lnA + Blnx)

–1

Advertisement expenses: x Effectiveness: y (%)

18 38

35 54

40 59

21 40

19 38

Please calculate the correlation coefficient; use the regression to
estimate the effectiveness (estimate the value of y) if the
advertisement expenses x = 30, and estimate the advertisement
expenses level (estimate the value of x) for the effectiveness
y = 50.

37

Operation

Display (Upper)

Display (Lower)

Distribution Calculations

After sample data are 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

Press will display the following selection screen.

P( Q( R( t

1 2 3 4

You can press , , or for the corresponding

calculations.

38

P(t): Probability below a
given point x

1 t– u

2

– ( )

1

P(t )= e dt ,

2

2

P(t)

Q(t): Probability below a
given point x and above
the mean

R(t): Probability above a
given point x

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

data: 20, 43, 26, 46, 20, 43, 26, 19, 23, 20 when x = 26.

Operation

Q ( t ) = 0.5 – R ( t ),

R ( t ) = 1 – P ( t ),

Display (Upper)

Q(t)

R(t)

Display (Lower)

Permutation, Combination, Factorials and Random
Number Generation

• Permutation : nPr =

• Combination : nCr =

• Factorial : x! = x(x-1)(x-2).....(2)(1)

n!

(n-r)

n!

r!(n-r)

39

Examples Display (Lower)Operation

720.

10P3

10.

5C2

5! 120

Random Number Generation

: To generate a random number between 0.000 and

0.999 ; the result differ each time with the same
possibility of occurrence.

: To generate a random number between two specified

integers. Results differ each time with the same
possibility occurrence within a boundary. The entry is
divided with " , ".

Example: To generate a random number between 0.000 and 0.999;

and generate an integer from range of 1 to 100

Operation

Rand 0.833*

i~Rand(1,100 83.*

Display (Lower)Display (Upper)

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

EQUATION CALCULATIONS

Press to enter the equation mode and the

following selection options will be displayed:

Unknowns?

2 3

By this screen, you can choose for the simultaneous linear equation
solve with either two (2) or three (3) unknowns. Or press or
to display another the options for quadratic (2) or cubic (3) equation:

40

Degree?

2 3

After the equation type is selected, [EQN] indicator lights up. The
following equation solve guiding page sample will be shown if you
specified the equation solve for two (2) or three (3) unknowns
simultaneous linear equation:

Coefficient name

a1?

0.

(Sample display for simultaneous linear
equation solve)

• For quadratic or cubic equation solve, the coefficient name starts

with "a"

• You cannot input complex number as an coefficient

• The calculation starts aftr the last factor ("c2": where the

simultaneous linear equations with two unknows, "d3", where the
simultaneous linear equations with three unknows "c" quadratic
equation and "d" cubic equation) of the specified equation and
then the root of an equation appears.

Variable name

X =

0.

(Sample display for simultaneous linear
equation solve)

• The input display appears by pressing the key, and you can

display or edit the value by pressing the or key. After that,
the last factor is displayed and a calculation is performed again by
pressing to display the root.

• For quadratic or cubic equation, the Variable name starts with "X1".

• Press or key to display the equation solve results.

• If you want to return to the coefficient input screen, simply press

key.

Indicates the direction of
next step or viewing the
other related elements.

Element Value

Indicates the direction of
next step or viewing the
other results.

Result

41

Simultaneous Linear Equations

Two Unknowns Simultaneous Linear Equation:

a
a2x + b2y = c
Three Unknowns Simultaneous Linear Equation:
a1x + b1y + c1z = d
a2x + b2y + c2z = d
a3x + b3y + c3z = d
Example: Solve the simultaneous equation with three unknowns:
2x + 4y – 4z = 20
2x – 2y + 4z = 8
5x – 2y – 2z = 20

Quadratic or Cubic Equations

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

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

Example: Solve the cubic equation 5x

x + b1y = c

1

1

2

1

2

3

Operation

equation in a single variable x)

polynomial)

Operation

Display (Upper)

3

+ 2x2 – 2x + 1 = 0

Display (Upper)

Display (Lower)

Display (Lower)

42

SOLVE FUNCTION

You can solve any calculation expression as per your needs in
COMP mode. Simply input the expression with different variables
and press the key.

Example: A cone of height "h" and base is a circular with radius "r",

So, you can replace the variable "V" by A, variable "r" by "B", and
variable "h" by "C".

If the radius is 5cm, cone height is 20cm, calculate the cone volume.
And if the cone volume is 200cm
cone height.

0.

A=(1 3) B

A? 0.

B? 0.

(radius is B = 5cm) C? 0.

(height is C = 20cm) C? 20.

A? 0.

A = 523.5987756

(Calculate with new variables)

C = 47.74648293

! If the expression does not have the equal sign ( = ) and perform

the Solve calculation, the calculator will transform the solution as
zero ( 0 ).

! When the expression cannot be solved, [Solve ERROR] will be

displayed.

the volume of the cone will be in the formula:

1

V = r

3

Operation

(volume is A = 200 cm3)

(radius is B = 2 cm) C? 20.

1

2

h A = B2C

3

3

, with radius 2cm, calculate the

h

s

r

Display (Upper)

A ? 523.5987756

B? 5.

Display (Lower)

2

C 0.

43

CALC FUNCTION

CALC function is deemed to be a memory zone with maximum 79

steps for you to store a single calculation expression which will be

recalled and calculated a number of times by different values.

After input the calculation expression and pressed , the

calculator will request for the current value of your input variables.

Beware that CALC function can only be used in COMP mode or

CPLX mode.

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

x = 5 or x = 7.

Operation

Y = 5x

X? 0.

Y = 5x

Y = 5x

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

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

Display (Upper)

2

2

2

Display (Lower)

–2x +1 0.

–2x +1 116.

–2x +1 232.

44

DIFFERENTIAL CALCULATIONS

Press to enter COMP mode for differential calculation.

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).

Operation

! 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 longer the calculation time

will be and the result is more accurate; the bigger the entered
value ∆x is, the shorter the calculation time will be and the result
will be comparatively less accurate.

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

cause inaccurate results or errors.

! When performing differential calculation with trigonometric

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

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

calculation.

! During the busy calculation, the calculator will display the message

[PROCESSING]

Display (Upper)

Display (Lower)

45

INTEGRATION CALCULATIONS

Press to enter COMP mode for integration calculation.

To perform an integration calculation you are required to input
following elements:

integration expression a b n

• The integration expression has variable x.

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

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

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 for performing a
calculation, the calculation results may be erroneous. Particularly
when significant digits are less than 1, an ERROR might be
occurred.

Example: Perform the integration calculation for

, with n = 4.

3

(5x4 + 3x2 + 2x + 1)dx

2

Operation

Display (Upper)

n

).

Display (Lower)

! The number of partitions (n) have to specify in the range of 1 to 9

integer, any value that out of the setup division range (N=2
n=1~9 integer), [Arg ERROR] will be displayed.

! You can skip the number of partitions entirely and the calculator

will automatically assign an appropriate value on behalf of you.

! The smaller the value of n is, the shorter the calculation time is, but

the result is comparatively less accurate; on the other hand, the
bigger the n is, the longer the calculation time is, and the result is
more accurate.

! When performing integration calculation with trigonometric

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

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

calculation.

! During the busy calculation, the calculator will display the message

[PROCESSING].

n

, n 0,

46

MATRIX CALCULATIONS

Enter the matrix mode by pressing , and

[MATX] indicator lights up.
Before you start matrix calculations, you have to create one
matrix or maximum three matrices which named A, B, and C at
one time.
The matrix calculation results are stored into MatAns memory
automatically. You can use the matrix MatAns memory for any
subsequent matrix calculations.
Matrix calculation may use up to two levels matrix stack; however,
squaring a matrix, cubing a matrix, or inverting a matrix only use
one stack.

Create a Matrix

1. Press (Dim) to specify the matrix name (A, B or
C), and then specify the dimension (number of rows and number
of columns) of the matrix. The dimension of matrix can be up to
3 x 3.

2. Next, input the value (element) of the matrix according to the
matrix element indictor display, following is a matrix element
indictor example:

MatA23

2 rows and 3 columns

3. Use the cursor keys to move, view or edit the matrix elements.

4. When finished the input, press to exit the matrix creation
screen.

Edit Matrix Elements

1. Press (Edit), then specify the matrix A, B or C for
editing and the corresponding matrix element indicator will be
displayed.

2. Input the new value and press to confirm the edit.

3. When finished the input, press to exit the matrix editing
screen.

47

Matrix Addition, Subtraction and Multiplication

1 2 3

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

4 5 6

7 8 9

Operation

9 8 7

6 5 4

3 2 1

Display (Upper)

Display (Lower)

(press left, right, up or down

key to display the result)

48

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. Following procedures show you how to
obtain the scalar product of a matrix with the fixed multiple:

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

Operation

Obtain the Determinant of a Matrix

Following procedures show you how to obtain the determinant of a
square matrix:

Example: Obtain the determinant of Matrix C =

<Result: -471>

Operation

(Dim)

(Matrix C 3x3)

(Input Element)

3 -2

-1 5

Display (Upper)

Display
(Upper)

6 -4

-2 10

Display (Lower)

10 -5 3

-4 9 2

1 7 -3

Display
(Lower)

(DetMatC)

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

matrix.

49

Transpose a Matrix

Following procedures show you how to transpose a matrix:

9 5

Example: Transpose Matrix B = <Result: >

6 2

8 4

Operation

(Dim)

(Matrix B 3x2) MatB

(Input Element ) MatB

Det Trn 1 2

(Trn MatB) Trn MatB 0.

(press left, right, up or

down key to display the result) MatAns

Invert a Matrix

Following procedures show you how to invert a square matrix:

Example: Inverting Matrix C =

1

< Result:

7
1

14

Operation

(Dim)

(Matrix C 2x2) MatC

(Input Element ) MatC

MatC

-1

(MatC

MatAns

MatAns

MatAns

) MatAns11

8 2

3 6

1

21

4

21

Display (Upper)

0.

11

9.

11

11

Display (Upper)

0.

11

8.

11

-1

0.

12

21

22

9 6 8

5 2 4

Display (Lower)

9.

Display (Lower)

50

Determine the Absolute value of a Matrix

Following procedures show you how to determine the absolute value
of a matrix:

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

the previous example.

Operation

Abs MatAns 0.

MatAns11 1┘7

MatAns12 1┘21

MatAns21 1┘14

MatAns22 4┘21

Display (Upper)

Display (Lower)

VECTOR CALCULATIONS

Enter the vector mode by pressing , and

[VCTR] indicator lights up.
Before you start vector calculations, you have to create one or
more vector which named A, B, or C (maximum three 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.

Create a Vector

1. Press (Dim) to specify the vector name (A, B or C),
and then specify the dimension of the vector.

2. Next, input the value (element) of the vector according to the
vector element indictor display, following is a vector element
indictor example:

Element Value

3. Use the cursor keys to move, view or edit the vector elements.

4. When finished the input, press to exit the vector creation
screen.

Edit Vector Elements

1. Press (Edit), then specify the vector A, B or C for

2. Input the new value and press to confirm the edit.

3.

Vector name Dimensions of Vector

VctA1

editing and the corresponding vector element indicator will be

displayed.

When finished the input, press to exit the vector editing screen.

51

0.

Direction indicator, you
can view other elements
at next page.

Vector Addition and Subtraction

Following procedures show you how to add or subtract vectors:

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

Operation

(Create Vector A) VctA(m) m? 0.

(Vector A dimension is 2) VctA

(Input Element) VctA

0.

1

9.

1

(Create Vector B)

VctB

(Input Element) VctB

0.

1

7.

1

VctA - VctB 0.

VctAns

VctAns

! 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 with Vector B (d,e).

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)

Following procedures show you how to obtain the scalar product of a
vector with the fixed multiple.

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

Operation

Display (Upper)

(Create Vector C) VctC(m) m? 0.

VctC

(Input Element)

VctC1 4.

5 x VctC 0.

(5 x VctC) VctAns

VctAns

VctAns

Display (Lower)Display (Upper)

2.

1

2.

2

Display (Lower)

0.

1

20.

1

25.

2

-30.

3

52

Calculate the Inner Product of Two Vectors

Following procedures show you how to 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), and the both
vectors are already created in the calculator.

Operation

(Recall

Vector A ) VctA 0.

Dot 1

VctA

VctA

.

(VctA

VctB) VctA . VctB -42.

Calculate the Outer Product of Two Vectors

Following procedures show you how to 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), and the both
vectors are already created in the calculator.

.
.

Operation

(Recall

Vector A ) VctA 0.

VctA x 0.

VctA x VctB 0.

(VctA x VctB) VctAns

VctAns

VctAns

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

vectors whose dimensions are different from each other.

Display (Lower)Display (Upper)

0.

VctB 0.

Display (Lower)Display (Upper)

93.

1

6.

2

67.

3

53

Determine the Absolute value of a Vector

Following procedures show you how to determine the absolute value
(size) of a vector:

Example: To determine the absolute value of the Vector C. As Vector

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

Operation

Display (Lower)Display (Upper)

Abs VctC 0.

Abs VctC 8.774964387

Example: Base on Vector A=(–1, –2, 0) and Vector B=(1, 0, –1),

determine the size of the angle (angle unit: Deg) and the
size 1 vector perpendicular to both A and B.

cos = , whereas = cos

(A • B)

|A||B|

Size 1 vector perpendicular to both A and B=

VctA x VctB

Result: =

|VctA x VctB|

Operation

(VctA

(calculate )

VctA . VctB

| VctA | x | VctB |

(calculate VctA x VctB = (2, -1, 2)) VctAns

(calculate | VctA x VctB |) Abs VctAns 3.

(Create Vector A)

(Input Elements)

(Create Vector B)

(calculate = cos-1 ) cos

VctB1 0.

(Input Elements)

.

VctB) VctA . VctB –1.

(A • B)

–1

|A||B|

A x B

|A x B|

Display (Lower)Display (Upper)

VctA1 0.

VctA1 –1.

VctB1 1.

Ans (Abs Vct

–0.316227766

–1

Ans 108.4349488

2.

1

(Calculate =) VctAns

VctAns

VctAns

1

2

3

54

BATTERY REPLACEMENT

Replace the battery immediately when the display characters are
dim even a darker LCD contrast OR when the following message
appears n the screen. Turn the calculator off and replace the
alkaline bttery immediately.

Please replace the alkaline 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 the positive "+" side facing up.

6. Replace the battery cover, screw, and press
the reset button to initialize the calculator.

Caution: Do not use the battery other than the specified

one. Failure to do so may burst the battery, causing
environment contamination or personal injury due to
electrolyte leakage.
Insulate the positive and negative poles of the spent battery
with a tape, follow your local environment regulations and
waste disposal standards, and then dispose the battery.

Battery Cautions

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

swallowed, contact a doctor immediately.

● Misuse of battery may cause leakage, explosion, damages
or personal injury.

● Don’t recharge or disassemble the battery, it could cause a
short circuit.

● Never expose the battery to high temperatures, direct heat,
or dispose by incineration.

55

SPECIFICATIONS

Power Supply : Solar cell and single Alkaline battery

Power Consumption : D.C. 1.5V / 0.1mW
Battery Life : Approximately 3 years
(Base on 1 hour of operation per day)
Auto Power Off : Approx. 7 minutes

Usable Temperature : 0 ~ 40°C

Size : 165 (L) x 80 (W) x 14 (H) mm (body)
168 (L) x 86 (W) x 17.8 (H) mm (with case)
Weight : 89 g (body) / 127 g (with case)
* 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

(LR44 x 1)

© CANON ELECTRONIC BUSINESS MACHINES (H.K.) CO., LTD. 2016

Made in China / Printed in China

56

PUB NO. E-IE-483