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
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: x0, –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
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