Canon F-788SG User Instruction

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F-788SG

USER INSTRUCTION

E-IE-444

ENGLISH

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 Unit 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.55

ADVICE AND PRECAUTIONS

HOW TO USE THE SLIDE COVER

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

F-788SG

OPEN

F-788SG

DISPLAY (2-LINE DISPLAY)

: Up Arrow : Down Arrow

TO GET START

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

2. Press to initialize the calculator.

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

F-788SG

Starting from the 72nd step,

[Dot] : The decimal point is indicated by dot and the 3-digits separator is indicated by comma. [Comma] : The decimal point is indicated by common and the 3-digits separator is indicated by dot.

• To check or clear the calculation mode, refer page 13.

F-788SG can display a result up to 10 digits. Results exceed the digit limit will be automatically displayed by exponential notation format.

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

1st Priority

2nd

3rd

4th

5th

6th

7th

8th

9th

10th

11th

12th

13th

14th

15th

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

Calculation within parentheses ( ).

Function with parenthesis that requests the input

argument to the right Pol(, Rec(, d/dx, dx, sin(, cos(,

tan(, log(, ln(, e^(, 10^(, (,

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

a b/c, d/c

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

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

Statistical estimated value calculation:

Metric conversion commands

Multiplication where sign is omitted: Multiplication sign

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

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

Permutations, combinations: nPr, nCr

Complex number polar coordinate symbol (<)

Dot:

Multiplication and division:

Addition and subtraction:

Logical AND (and)

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

Calculation ending instruction: =, M+, M- STO(store memory), FMLA, r< , a+bi

(, Abs(, i~Rand(, etc.

x, y, x1, x2

ˆ ˆ ˆ ˆ

×, ÷

+, –

• To input the negative vaues, use .

151617

Mark up and Discount

820 mark up 25%

820 have 25% discount

F-788SG

NO.

Symbol

1.672621777x10

1.674927351 x10

9.10938291x10

-31

1.883531475x10

0.52917721092x10

6.62606957 x10

5.05078353 x10

927.400968 x10

1.054571726 x10

7.2973525698x10

UnitValueConstant

-27

-28

-10

-34

-27

-26

-34

-3

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

-3

8.3144621

299792458

3.74177153x10

1.4387770 x10

-16

-2

-15

-12

-15

-27

-26

-19

21Pa22

Metric Unit Conversions

F-788SG 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

(enter the conversion menu)

(select ft

)

(convert to m2)

(calculate the answer)

• To clear the setting, refer page 13.

162.8571429

162.8571

8.1429

162.8571

8.1429

162.8580

1.62858×

162.858

 Square Root  CubeCube Root

PowerPower Root Reciprocal Pi

selected angle unit. If you want to indicate the value with other degree unit after conversion, change the unit using .

sin 53o 22’ 12” = 0.802505182

cosec x = 1/sinx 1.414213562

cosec 45

= 1.414213562

-1

tan

(5/6) = 39.80557109° 39.80557109

Rad

cos( /6)

0.785398163 0.785398163

-1

— =

cos

0.802505182

)daR( 52.0

304520668.0 304520668.0 =

52.0

log 255 + ln 3 = 3.505152469

-3

1.2

+ 10

= 15.89871899

3.505152469

log

81 – log 1 = 4

99817898.51

3031323334

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.

• “t” is a parameter when the normal distribution is standardized. “t” can be found from the statistical result.

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:

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?

(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 after the last factor ("c2": where the

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

Variable name

X =

(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

Simultaneous Linear Equations

Two Unknowns Simultaneous Linear Equation: a a2x + b2y = c

Three Unknowns Simultaneous Linear Equation: a 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 : ax

Example: Solve the cubic equation 5x

x + b1y = c

Operation

x + b1y + c1z = d

Display (Upper)

equation in a single variable x)

+ bx2 + cx + d = 0 (an equation with cubic

polynomial)

+ 2x2 – 2x+1 = 0

Display (Upper)

Display (Lower)

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",

the volume of the cone will be in the formula:

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.

V = r2h A = B2C

1 3

, with radius 2cm, calculate the

Operation

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

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

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

displayed.

Display (Upper)

Display (Lower)

the Solve

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 = 5x

x = 2 or x = 7.

Operation

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

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

–2x +1, calculate the value of Y if

Display (Upper)

Display (Lower)

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).

-8

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

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.

b, i–Rand, Rec ( and Pol ( functions can’t join to differential

! Log

calculation.

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

[PROCESSING]

Display (Upper)

, for

Display (Lower)

INTEGRATION CALCULATIONS

Press to enter COMP mode for integration calculation.

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

• 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 precision may be low. Particularly when significant digits are less than 1, an ERROR might be occurred.

Example: Perform the integration calculation for

, with n = 4.

integration expression a b n

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

Operation

Display (Upper)

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 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.

b, i–Rand, Rec ( and Pol ( functions can’t join to integration

! Log

calculation.

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

[PROCESSING].

, n 0,

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:

M a t A

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. To edit the element saved in the matrix memory, 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.

Matrix Addition, Subtraction and Multiplication

1 2 3

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

Operation

(press left, right, up or down

key to display the result)

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

the same size. An error occurs if you try to add, subtract or multiply matrices whose dimensions are different from each other. For example, you cannot add or subtract a 2 x 3 to a 2 x 2 matrix.

4 5 6

7 8 9

9 8 7

6 5 4

3 2 1

Display (Upper)

Display (Lower)