Canon X Mark I Pro Installation instructions

Contents
ENGLISH
About Using the Manual
• This basic manual briefly introduce X Mark I Pro functions, specification
and usage precautions.
• To familiar with X Mark I Pro, you can read the Calculation Examples
for a series of examples, operation procedure’s; and the calculation
range of major functions.
Statistical Calculations
Statistical Type Selection......................................................P.16
Statistical Data Input.............................................................P.16
Editing Statistical Sample Data.............................................P.16
Statistical Calculation Screen ...............................................P.17
Statistical Menu ....................................................................P.17
Statistical Calculation Example.............................................P.18
Distribution Calculations .......................................................P.18
Advanced Scientific Calculations
Equation Calculations ..................................................... P.19-20
Solve Function ......................................................................P.20
CALC Function .....................................................................P.20
Differential Calculations ........................................................P.21
Integration Calculations ........................................................P.21
Matrix Calculations ...............................................................P.22
Vector Calculations...............................................................P.23
Inequality Calculations .........................................................P.24
Ratio Calculation ..................................................................P.25
Function (x, y) Table Calculation ..............................................P.25
Battery Replacement...................................................................P.26
Advice and Precautions .............................................................P.26
Specifications .............................................................................P.26
1
Getting Started
Power On, Off......................................................................... P.2
Display Contrast Adjustment ................................................. P.2
Mode Selection....................................................................... P.3
Application Function Menu ..................................................... P.3
Calculator Set-up Menu.......................................................... P.4
Before Using the Calculator.................................................... P.5
Inputting Expressions and Values
Input Capacity......................................................................... P.6
Input Editing ........................................................................... P.6
Inputting and Display Result in Mathematics Mode ................. P.6
Input Range and Error Messages .............................................. P.7
Order of Operations................................................................ P.7
Calculation Stacks .................................................................. P.7
Error Messages and Error Locator ......................................... P.7
Basic Calculations
Arithmetic Calculations ........................................................... P.8
Memory Calculations .............................................................. P.9
Fraction Calculations .............................................................. P.9
Percentage Calculations....................................................... P.10
Degree-Minutes-Seconds Calculations ................................ P.10
Replay & Multi-statements.................................................... P.10
Constant Value Calculations ................................................ P.11
Metric Conversions............................................................... P.11
Functional Scientific Calculations
Square, Root, Cube, Cube Root, Power, Power Root,
Reciprocal and Pi ................................................................. P.11
Logarithm, Natural Logarithm, Antilogarithm and Logab ....... P.12
Angle Unit Conversion.......................................................... P.12
Trigonometry Calculations.................................................... P.12
Permutation, Combination, Factorials and Random
Number Generation .............................................................. P.12
Least Common Multiple and Greatest Common Divisor ...... P.13
Prime Fractorization ............................................................. P.13
Quotient and Remainder Calculations.................................. P.13
Coordinate Conversion......................................................... P.14
Absolute Value Calculation................................................... P.14
Engineering Notation ............................................................ P.14
Display Values Exchange..................................................... P.14
Complex Number Calculations ............................................. P.14
Base-n Calculations and Logical Calculations...................... P.15

Display
<Status Indicators>
S : Shift key
A : Alpha key
M : Independent Memory
STO : Store Memory
RCL : Recall Memory
STAT : 1-Var & 2-Var Statistics Mode
CPLX : Complex Number Calculation Mode
MATX : Matrix Calculation Mode
VCTR : Vector Calculation Mode
EQN : Equation Calculation Mode
D : Degree Mode
R : Radian Mode
G : Gradient Mode
FIX : Fixed-decimal Setting
SCI : Scientific Notation
LINE : Line Display Mode
: Up Arrow
: Down Arrow
Disp : Multi-statements Display
Getting Started
Power On, Off
First time operation:
1. Remove the battery insulation tab to load the battery.
2. Press to initialize the calculator.
Power ON: When is pressed.
Power OFF: When are pressed.
Auto Power off Function:
When the calculator is not used for approximately 7 minutes, it
will automatically power off.
Display Contrast Adjustment
Press (6: CONT ), to enter the
Display Contrast Adjustment screen.
Press to make the display contrast darken.
Press to make the display contrast lighten.
Press or to confirm and clear the screen.
To initialize the LCD contrast, press
outside the Display Contrast Adjustment screen.
2

Mode Selection
Press to enter the Calculation Mode Selection screen.
Press / for next / previous pages.
The default mode is COMP mode.
Application Function Menu
The Apps menu contains mathematical functions. In each
Calculation Mode, the listed functions are different.
Press and corresponding number to enter the
Calculation Mode.
Press to enter the Apps menu.
Press / for next / previous pages.
i) COMP Mode ii) CPLX Mode
iii) STAT Mode
In SD mode In REG mode
Press [ ]
or [ ] key
iv) BASE Mode
COMP Normal calculations
CPLX Complex number calculation CPLX
STAT
BASE
EQN Equation solution EQN
TABLE Function table generation
MATX Matrix calculations MATX
VCTR Vector calculations VCTR
INEQ Inequality calculations
RATIO Ratio calculations
Operation Mode LCD
Indicator
Statistical and regression
calculations
Calculations involving specific
number systems
STAT
v) EQN Mode
Press [ ]
or [ ] key
Press [ ]
or [ ] key
3

Press to exit the Apps menu.
vii) VCTR Mode
vi) MATX Mode
viii) INEQ Mode
ix) Ratio Mode
Press [ ]
or [ ] key
Calculator Set-up Menu
Press to enter the Calculator Set-up Menu;
press / for next / previous pages.
To select the calculator input & output format [1] Maths
or [2] Line
[1] Maths – (Mathematics mode):
The majority of calculation input
and output (e.g. Fraction, pi,
square root number) are shown in
Mathematics textbook format.
Mathematics mode
Press [ ]
or [ ] key
To select the angle unit [3] Deg, [4] Rad or [5] Gra
[3] Deg: Angle unit in Degree
[4] Rad: Angle unit in Radian
[5] Gra: Angle unit in Gradient
90º = radians = 100grads
To select display digit or notation [6] Fix, [7] Sci or [8] Norm
[6] Fix: Fixed Decimal, [Fix 0~9?] appears, specify the number
of decimal places by pressing [0] – [9].
Example: 220 ÷ 7 = 31.4286 (FIX 4)
= 31.43 (FIX 2)
[7] Sci: Scientific Notation, [Sci 0~9?] appears, specify the
number of significant digits by pressing [0] – [9].
Example: 220 ÷ 7 = 3.1429x101 (SCI 5)
= 3.143x101 (SCI 4)
[8] Norm: Exponential Notation, [Norm 1~2?] appears, specify
the exponential notation format by pressing [1] or [2].
Norm 1: Exponential Notation is automatically used for integer
values with more than 10 digits and decimal values with more
than TWO decimal points.
[2] Line – (Line mode): The majority
of calculation input and output are
shown in the line format. The
“LINE” icon will be shown.
For the STAT, EQN, MATX, VCTR, INEQ, RATIO mode, the
Input & Display format will switch to Line mode automatically.
Line mode
LINE
4

Before Using the Calculator
Check the current Calculation Mode
Be sure to check the status indicators that indicate the current
calculation mode (COMP, STAT, TABLE), display formats setting
and angle unit setting (Deg, Rad, Gra)
Return to initial setup
Press (YES) to return the initial calculator
setup
Calculation mode : COMP
Input/Output Format : Maths
Angle unit : Deg
Display Digits : Norm 1
Fraction Display Format : d/c
Statistical Data Input : OFF
Decimal Point format : Dot
This action will not clear the variable memories.
Initialize the calculator
When you are not sure of the current calculator setting, you are
recommended to initialize the calculator (resets calculation mode
“COMP”, angle unit “Degree”, clears reply and variable
memories), and resets LCD contrast) by performing the following
key operations:
(All) (YES) .
Norm 2: Exponential notation is automatically used for integer
values with more than 10 digits and decimal values with more
than NINE decimal places.
Example: 1 ÷ 1000 = 1x10-3 (Norm 1)
= 0.001 (Norm 2)
To select the fraction format [1] a b/c or [2] d/c
[1] a b/c: specify Mixed fraction display
[2] d/c: specify Improper fraction display
To select the complex number display format [3] CLPX ([1]
a+bi or [2] r< )
[1] a+bi: specify Rectangular Coordinates
[2] r< : specify Polor Coordinates
To select the statistical display format [4] STAT
([1] ON or [2] OFF)
[1] ON: Show FREQ (Frequency) Column in Statistical Data
Input Screen
[2] OFF: Hide FREQ (Frequency) Column in Statistical Data
Input Screen
To select the decimal point display format [5] Disp ([1] Dot
or [2] Comma)
[1] Dot: specify dot format for Decimal point result display
[2] Comma: specify comma format for Decimal point result
display
To Adjust Display contrast [6] CONT
Refer to the “Display Contrast Adjustment” section.
5

*1. Omit multiplication sign (x)
- Input before an open parentheses : 1 x (2+3)
- Input before scientific functions that includes parenthesis: 2 x
cos(30)
- Input before Random number function
- Input before Variable (A, B, C, D, X, Y, M), π, θ
*2. Scientific functions come with the open parenthesis. Example: sin(,
cos(, Pol(, LCM(…. You need to input the argument and the close
parenthesis .
*3. Omit the last close parenthesis before the , , ,
and .
Insert and Overwrite Input mode
In Line mode, you can use INSERT or overwrite mode for
inputting.
- In Insert mode (Default input mode), the cursor is a vertical
flashing line “ ” for inserting a new character.
- In Overwrite mode, press key to switch the cursor
to a flashing horizontal “ _ ” and replace the character at the
current cursor position.
In Mathematics mode, you can only use the insert mode.
Whenever the display format changes from Line mode to
Mathematics mode, it will automatically switch to the insert mode.
Deleting and Correcting an Expression
In Insert mode: Move the cursor to the right of the character or
function that needs to be deleted, then press .
In Overwrite mode: Move the cursor under the character or
function being deleted, then press .
X Mark I Pro allows you to input a single calculation with up to 99
bytes. When input capacity is less than 10bytes, the input cursor
will change from “ ” to “ ” signaling that the memory is running
now.
Input Editing
New Input begins on the left of display. When the input data is more
than 15 characters (Line Mode) / 16 characters (Maths mode), the
line will scroll to the right consecutively. You can scroll back to the left
by using and to review the input.
Omit the multiplication sign and final close parenthesis.
Inputting Expressions and Values
Input Capacity
EX #1
Example: 2 x log 100 x (1+3) = 16 .......
EX #5
Inputting and Display Result in Mathematics Mode
In Mathematic Mode, the Input and display result of fraction or
certain functions (log, x2, x3, x , , 3 , , x-1,10 , e , Abs) is
shown in Handwriting/Mathematics format.
6
(1) Replace an entry (1234567 1234560) ......
(2) Deletion (1234567 134567).......
(3) Insertion (889900 2889900) .......
EX #2
EX #3
EX #4
Example: 1234567 + 889900

Display of results using
Calculation results may be displayed using when in all of the
following cases:
1. When intermediate and final calculation results are displayed
in the following form:
2. When the number of terms in the intermediate and final
calculation result is one or two.
Input Range and Error Messages
• Errors are cumulative in the case of consecutive
calculations, this is also true as internal consecutive
calculation are performed in the case of ^(xy), x√y, 3√, x!,
nPr, nCr , etc. and may become large.
Calculation Precision, Input Range please refer to ... EX #6
EX #7
Order of Operations
This calculator will automatically determine the operation
priority of each individual command as
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 message, then return to the initial
display of latest mode.
Press or to display input expression with the cursor
positioned next to the error.
Press to clear the error message, replay memory
history and return to the initial display of the latest mode.
Calculation Stacks
This calculator uses memory areas, called “stacks”, to
temporarily store numeric value (numbers) commands (+, –,
x…) and functions according to their precedence during
calculations.
The numeric stack has 10 levels and command stack has 128
levels. A stack error [Stack ERROR] occurs whenever you try
to perform a calculation that exceeds the capacity of stacks.
Calculations are performed in sequence according to “Order
of Operations”. After the calculation is performed, the stored
stack values will be released.
7
(1) Some input expressions cause the height of a calculation
expression to be greater than one display screen. Maximum
input capacity: 2 display screens (31 dots x 2).
(2) Calculator memory limits how many functions or
parentheses can be input in any single expression. In this
case, divide the expression into multiple parts and calculate
separately.
(3) If part of the expression you input is cut off after calculation
and in the result display screen, you can press or
to view the full expression.

• Press or to display
the location of the cause of
an error and make
required corrections.
• Press or to display
the cursor at the location
of the error, make
appropriate corrections
Error Message Cause Action
Math ERROR • The intermediate or final
result is outside the
allowable calculation range.
• An attempt to perform a
calculation using a value
that exceeds the allowable
input range.
• An attempt to perform an
illogical operation (division
by zero, etc.)
•Check the input values and
make sure they are all
within the allowable
ranges, Pay special
attention to values in any
using memory areas
Stack ERROR • The capacity of the numeric
stack or operator stack is
exceeded.
• Simplify the calculation.
• Divide the calculation into
two or more separate
parts.
• Under Matrix and Vector
mode, the dimension (row,
column) is over three.
• An attempt to perform an
illegal matrix/vector
operation.
Syntax ERROR • An attempt to perform an
illegal mathematical
operation.
Insufficient
MEM
Can’t Solve
ERROR
(only in SOLVE
function)
• The calculation result of
Function Table mode
parameters caused more
than 30 x-values to be
generated for a table
• Narrow the table
calculation range by
changing the start, end,
and step values, and try
again.
• The calculator could not
obtain a solution.
Dimension
ERROR
(only in Matrix
or Vector)
• Check for errors in the
equation that you input.
• Input a value for the
solution variable that is
close to the expected
solution and try again.
Variable
ERROR
(only in SOLVE
function)
Time Out
ERROR
(only in
Differential or
integration
Calculations
• Press or to display
the location of the cause of
an error and make required
corrections.
Argument
ERROR • Improper use of an
argument.
• Equation is not a correct
equation.
• Equation does not include
variable X.
• The solution variable is not
similar to the specified
variable in the expression.
• Under Matrix and Vector
mode, the dimension (row,
column) is over three.
• An attempt to perform an
illegal matrix/vector
operation.
(refer to P.20)
• The current differential or
integration calculation ends
does not fulfill an ending
condition.
• The calculator could not
obtain a solution.
(refer P.21)
Error Message Cause Action
Arithmetic Calculations
• To calculate the negative values (exclude the negative
exponent) enclose then within the parentheses.
• This calculator supports 99 levels of parenthetical expression.
......
Press to enter COMP mode.
During the busy calculation, the calculator shows the message
[PROCESSING] (without any calculation result). Press key
to interrupt the calculating operation.
Basic Calculations
EX #8
8

Memory Calculations
Memory Variables
• There are 19 memory variables (0 – 9, A – F, M, X and Y),
which store data, results, or dedicated values.
• Store values into memory by pressing + Memory
variable.
• Recall memory values by pressing + Memory variable.
• Memory content can be cleared by pressing
+ Memory variable.
Example: 23 + 7 A (30 store into A), calculate 2 sinA
and clear memory A ......
Independent Memory
• Independent memory uses the same memory area as
variable M. It is convenient for calculating cumulative totals by
pressing (add to memory) or (subtract from
memory).
• Memory contents are retained even when the calculator is
powered off.
• Clear independent memory (M) by pressing
• Clear all memory values by pressing 2(MCL)
.
EX #9
Answer Memory
• The input values or the most recent calculation result will be
automatically stored into Answer memory whenever you press
, , , , . Answer
memory can hold up to 18 digits.
• Recall and use the latest stored Answer memory by pressing
.
• Answer memory is not updated when an error operation has
been performed.
• Answer memory contents can be maintained even after
pressing , changing the calculation mode, or turning off the
calculator. ......
Fraction Calculations
The calculator supports Fraction calculation and the conversions
between Fraction, Decimal point, Mixed fraction and Improper
fraction.
• Specify the fraction calculation result display format by selecting
either mixed fraction ( ) or improper fraction
( ) in set-up menu.
• At the default setting, fractions are displayed as improper fractions
( ).
• Mixed Fraction display results are only available after selecting
( ) in the setup menu.
Maths Mode
Line Mode 3_|2_|311_|3
Mixed Fraction
(a b/c)
Improper Fraction
(d/c)
11
3
2
3
3
EX #10
9

Press to switch a calculation result between fraction and
decimal format.
Press to switch a calculation result between
improper fraction and mixed fraction format.
Result will be displayed in decimal format automatically
whenever the total digit of a fractional value (integer + numerator
+ denominator + separator marks) exceeds 10.
When a fraction calculation is mixed with decimal values, the
result will be displayed in decimal format.
Fraction Decimal point conversion ...... EX #11
Percentage Calculations
Multi-statements Function
• Use a colon to put two or more calculation expressions
together.
• The first executed statement will have “Disp” indicator; and
the “Disp” icon will disappeared after the last statement is
executed. ......
Replay & Multi-statements
Replay Memory Function
• Replay memory is only available in COMP mode.
• After the calculation is executed, the calculation input and
result will be stored in the replay memory automatically.
• Pressing (or ) can replay the performed calculation
input and result history.
• After obtaining the calculation result on the display,
press or to edit the input expression of that result.
• If the Indicator is on the right side of a calculation result
display, you need to press and then or to scroll
the calculation.
• Replay memory is cleared when you:
1. Initialize calculator setting by
2. Change from one calculation mode or display mode to
another.
3. Press key.
4. Press to power off the machine.
EX #12
Degree-Minutes-Seconds Calculations
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...... EX #13
EX #14
10

• In a category page, you can shift the selection cursor left or right
by pressing or . ......
• Go back to the calculation mode by pressing within the
category selection menu. After the base conversion unit,
, or keys will be invalid.
• If the converted result overflows, [ERROR] will be shown in the
lower display. Press to select the overflow value; the
following scenarios are valid:
Scenario A - Keep selecting the other conversion value by
pressing or .
Scenario B - Clear the screen and jump out of the selection
by pressing or .
Scenario C - Jump back to the previous calculation screen
by pressing .
EX #15
Metric Conversions
The calculator has 170 conversion pairs which allows you to
convert a number to and from the specified metric units.
• Press enter the conversion menu.
• There are 8 category pages (distance, area, temperature,
capacity, weight, energy, pressure and speed) containing 34
metric symbols, you can press or to change the
category selection page.
Input 1 79 0 0
m
p
m n me m µ ao
Constant Value Calculations
X Mark I Pro has total of 79 built-in constant values, you can
enter (or exit) the constant value selection menu by pressing
, the following display will be shown:
• You can go to the next or previous value selection pages by
pressing or .
• To select a constant value simply press or . The
selection cursor will shift left or right to underline a constant
symbol and the lower line display will show the value of the
underlined constant symbol.
• The underlined constant symbol will be selected as you press
.
• You can instantly get the constant value if you input the
constant value item number and press when the selection
cursor is underlining 0 0. ......
• Constant Table please refer ...... EX #16
EX #17
EX #18
Example: Convert 10 + (5 ft2 m2) = 10.4645152 ......
EX #19
Square, Root, Cube, Cube Root, Power, Power Root,
Reciprocal and Pi
Press to enter COMP mode.
= 3.1415926535897932324
e = 2.7182818284590452324
Functional Scientific Calculations
11

EX #20
Logarithm, Natural logarithm, Antilogarithm and Logab
Angle Unit Conversion
The default calculator angle unit setting is “Degree”. Press
to enter the setup menu to change the unit to “Radian” or
“Gradient”,:
Press the corresponding number key , or for the
angle unit you need. Then the display will show the , ,
Indicator accordingly.
Convert an angle unit between “Degree”, “Radian” and “Gradient”
by pressing
Then, pressing , , or will convert the displayed value
into the selected angle unit. .......
G
R
D
EX #21
EX #22
Deg
Rad
Gra
Units of 15º
Multiples of radians
Multiples of grads
Angle Value Input
Angle Unit
Setting
Input Value Range
for form result
1
12
50
3
Hyperbolic (sinh/ cosh/ tanh), Inverse Hyperbolic
(sinh-1/cosh-1/tanh-1) functions
Pressing enter sub-hyperbolic menu.
Permutation:
Combination:
Factorial :
Permutation, Combination, Factorials and Random
Number Generation
Trigonometry Calculations
Before using the trigonometric functions (except hyperbolic
calculations), select the appropriate angle unit (Deg/Rad/Gra)
by pressing .
90º = Radians = 100 Gradients. ......
EX #24
EX #23
12
......
......

Random Number Generation
: Generate a random number between 0.000 and
0.999. And the display result will be fraction format
in Maths mode status.
: Generate a random number between two specified
positive integers. The entry is divided by “.”
*The value is only a sample, results will differ each time.
EX #25
LCM: Calculate the least common multiple among
(maximum) three positive integers.
GCD: Calculate the greatest common divisor among
(maximum) three positive integers.
Least Common Multiple and Greatest Common Divisor
EX #26
Prime Factorization
• The factor a positive integer up to 10 digits into prime
factors up to the 3 digits.
Ptact Number : 0 < X < 99999 99999 (X is integer)
• The reminder part that cannot be factored will be
enclosed in parentheses on the display.
NOTE:
•
During any calculation operations, pressing or
or or key will exit the prime factorization
result display.
• Use the setup menu to change the angle unit setting
(Deg, Rad, Gra) or display digit setting (Fix, Sci, Norm).
• [Math ERROR] will be shown if decimal value, fraction,
negative value calculation result, or Pol, Rec, Q...R is
displayed.
EX #27
Example: 99999 99999 = 32 x 11 x 41 x 271 x (9091)
“Quotient” (Q) is the result of a division problem, “Remainder”
(r) is the value remaining in an integer division problem.
The calculated quotient value (Q) and remainder (r) will be
stored into memory variables “C” and “D” automatically
assigned.
In Maths mode, press or to scroll a long calculation
result.
In Line mode, the quotient value (Q) and remainder (r) will be
shown over 2 line.
Only Quotient Value (Q) can continue to be used for the next
calculation or be stored into memory variables. ......
Quotient and Remainder Calculations
EX #28
13

With polar coordinates, you can calculate and Display θ
within the range of –180º < θ ≤ 180º. (Same as Radian and
Gradient)
In Maths mode, press or to scroll the through
calculation result.
In Line mode, (x,y) or (r, θ) will be shown over 2 lines.
After conversion, the results will automatically be assigned to
memory variables X and Y. Press or to
show the results.
Coordinate Conversion
Absolute Value Calculation
Engineering Notation
Rectangular Coordinates
(Rec)
Polar Coordinates (Pol)
In Maths mode, press to change the calculation result
value between fraction form Decimal form, form
Decimal form, √ form Decimal form.
In Line mode, press to ONLY change the calculation
result value between fraction form Decimal form, the other
and √ calculation will display the decimal value only.
Display Values Exchange
: Convert rectangular coordinates (x, y) to polar
coordinates (r, θ); Press for r, or
for θ. ...... EX #29
: Convert polar coordinates (r, θ) to rectangular
coordinates (x, y); Press for x, or
for y. ...... EX #30
EX #31
EX #32
EX #33
NOTE:
• In some Calculation results, pressing key will not
convert the display value.
• Some display result conversion may take a long time.
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 (and i is the imaginary unit equal to square root of
–1, -1), " r " is the absolute value, and " " is the argument of the
complex number.
r
4
0 3 Real axis
Imaginary axis ( i )
14

Rectangular Form and Polar Form Conversion
Press can convert rectangular form complex numbers into
polar form; whereas press will convert polar form complex
number into rectangular form. ......
Press to enter CPLX mode.
Press to select the calculation type.
Complex Number type selection
Thre are 6 types of complex number calculations in the Complex
Number Type screen. Press the number to select the type of Complex
Number Calculation.
Check the current angle unit setting (Deg, Rad, Grad).
[ ] indicates the display result is the imaginary number,
[ ] indicates the display value is the argument value .
Imaginary numbers will use up replay memory capacity.
Absolute Value and Argument Calculation
With the rectangular form complex number, you can calculate the
corresponding absolute value (r) or argument ( ) by pressing or
respectively. ......
Conjugate of a complex number
If the complex number is z = a + bi, the conjugate value of this
complex number should be z = a – bi. ......
Determine the Real/Imaginary of complex number
EX #34
EX #35
EX #36
EX #37
Press to enter Statistical calculation mode; the
“STAT” indicator lights up.
Press (Type) to select the calculation type.
Statistical Calculations
Base-n Calculations and Logical Calculations
Press to enter Base-n mode.
Decimal (base 10), hexadecimal (base 16), binary (base 2),
octal (base 8), or logical calculations.
To select a specific number system in base mode, simply press
Decimal [DEC], Hexadecimal [HEX], Binary
[BIN] or Octal [OCT].
Press key to perform logical calculations including: Logic
connection [and] / [or], exclusive or [Xor], exclusive nor [Xnor],
argument complement [Not] and negation [Neg].
If the binary or octal calculation result is more than 8 digits,
[1b] / [1c] will be displayed to indicate the result has a next
block. Press to loop between result blocks.
In Base-n mode all the scientific functions cannot be used, and
you cannot input the value with decimal places or exponents.
EX #38
Logical Operation ...... EX #40
15
Base-n Transformation EX #39
....

Statistical Type Selection
There are 8 types of Statistical Calculation, after entering the
Statistical Type Selection screen, press the number to select the
type of Statistic Calculation.
1 (SD) One-variable statistics (x)
2 (Lin) Two-variable, Linear regression (y= A+Bx)
3 (Quad)
Two-variable, Quadratic regression (y=A +Bx + Cx2)
4 (Log) Two-variable, Logarithmic regression (y=AxBlnx)
5 (e EXP) Two-variable, E exponential regression (y=AeBx)
6 (ab EXP) Two-variable, ab Exponential regression (y=ABx)
7 (Pwr) Two-variable, Power regression (y=AxB)
8 (Inv) Two-variable, Inverse regression (Y=A+B/x)
Statistical Calculation Pressing Key
Statistical Data Input
After confirmed the calculation type in the Statistical Type
Selection screen or by pressing (Data) in the STAT
mode, the following Statistical Data Input screen will be shown.
• After turning on Data Frequency in the setup menu, the
“FREQ” column will be added into the above screen.
• The following are the maximum number of lines for data input.
FREQ OFFStatistic type
Single Variable (only x input) 40 80
2 Variable (x & y input) 26 40
FREQ ON
1-variable STAT 2-variable STAT 1-variable STAT
”FREQ ON”
• Input expression and display result values in the Statistical
Data Input screen are in Line mode (same as Comp mode
with Line mode status).
• After inputted the data, press to store the value into
statistical registers and display the value (max. 6 digits) in the
cell. You can press cursor key to move the cursor between
each cell.
Editing Statistical Sample Data
Replacing the Data in a Cell
(1) In the Statistical Data Input screen, move the cursor to
the cell you want to edit.
(2) Input the new data value or expression, and press .
Deleting a Line
(1) In the Statistical Data Input screen, move the cursor to
the line you want to delete.
(2) Press
Inserting a Line
(1) In the Statistical Data Input screen, move the cursor to
the line that will be under the line being inserted.
(2) Press (Edit)
(3) Press (Line)
Deleting All STAT Data Input
(1) Press (Edit)
(2) Press (Del-A)
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Statistical Calculation Screen
After inputting the STAT Data, press to enter the
Statistical Calculation screen.
Statistical Calculation screen is in Line mode for input &
output display
Use the Statistical Menu to calculate the Statistical result.
(S-SUM, S-VAR, S-PTS, Reg).
Statistical Menu
In the Statistical Data Input screen or Statistical Calculation
screen, press to display the Statistical Menu screen.
[1] Type To enter the statistical calculation type screen
[2] Data To enter the statistical data input screen
[3] Edit
To enter Edit sub-menu for editing STAT editor screen contents
[4] S-SUM To enter S-Sum sub-menu (calculating sum)
[5] S-VAR To enter S-Var sub-menu (calculating variable)
[6] S-PTS To enter S-PTS sub-menu (calculating points)
[7] Distr To enter Distr sub-menu (P(t), Q(t), R(t))
[8] Reg To enter Reg sub-menu (Regression calculation)
DescriptionSTAT items
1-variable STAT 2-variable STAT
Statistical calculation result in [4] S-SUM, [5] S-VAR,
[6] S-PTS, [8] Reg
Summation of all x2 value
Summation of all x value
Summation of all y2 value
Summation of all y value
Summation of xy pairs
Summation of all x3 value
Summation of all x2y pairs
Summation of all x4 pairs
Number of data sample
Mean of the x values
Population standard deviation of x
Sample Standard deviation of x
Mean of the y values
Population standard deviation of y
Sample standard deviation of y
Minimum value of X
Maximum value of X
Minimum value of Y
Maximum value of Y
S-SUM
S-VAR
S-PTS
∑x2
∑x
∑y2
∑y
∑xy
∑x3
∑x2y
∑x4
n
x
x n
x n-1
y
y n
y n-1
minX
maxX
minY
maxY
STAT
sub-menu STAT Type
Symbol OperationValue
1 & 2 variable
STAT
2-variable
STAT only
1 & 2
variable
STAT
2-variable
STAT only
1 & 2 variable
STAT
2-variable
STAT only
17

Regression coefficient A
Regression coefficient B
Correlation coefficient r
Estimated value of x
Estimated value of y
Regression coefficient A
Regression coefficient B
Regression coefficient C
Estimated value of x1
Estimated value of x2
Estimated value of y
Reg
Reg
A
B
r
x
y
A
B
C
x1
x2
y
For
non-Quad
Reg
For Quad
Reg only
STAT
sub-menu STAT Type
Symbol OperationValue
SD type Statistical calculation Example:
To calculate ∑x2, ∑x, n, x, x n, x n-1, minX, maxX of data: 75,
85, 90, 77, 79 in SD mode (Freq: OFF) ......
Quadratic Regression type Statistical Calculation Example:
ABC Company investigate the effectiveness of the advertisement
expense in coded units, the following data was obtained:
Advertisement expenses: X 18 35 40 21 19
Effectiveness: y (%) 38 54 59 40 38
Statistical Calculation Example
Please 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 X1, X2) for effectiveness y = 50. ......
EX #41
EX #42
Distribution Calculations
After sample data is entered in either Statistic (SD) or Regression
(REG) mode, you can perform the normal distribution or
probability distribution calculation such as P(t), Q(t) and R(t) in
which t is the variate of the probabilistic experiment.
Random variable
Mean of sample
Standard deviation
Press to display the distribution calculations screen.
Press , , or for the corresponding calculations.
1: P( 2: Q(
3: R( 4: t
18

Advanced Scientific Calculations
Equation Calculations
Press to enter the equation mode; press /
for next / previous pages.
Example: Calculate the probability distribution P(t) for the sample
data: 20, 43, 26, 46, 20, 43, when x = 26. ......
P(t): Probability below a
given point x
Q(t): Probability below a
given point x and above
the mean
R(t): Probability above a
given point x
1
2
P(t)= e dt ,
1t–u
2
– ( )2
P(t)
R ( t ) = 1 – P ( t ),
R(t)
Q ( t ) = 0.5 – R ( t ),
Q(t)
EX #43
[1] 2 unknow EQN Simultaneous Linear Equations with two unknowns
[2] 3 unknow EQN Simultaneous Linear Equations with three unknowns
[3] 4 unknow EQN Simultaneous Linear Equations with four unknowns
[4] Quad EQN Quadratic Equation, degree 2 equation
[5] Cubic EQN Cubic Equation, degree 3 equation
[6] Quartic EQN Quartic Equation, degree 4 equation
DescriptionEquation Item
Example: Solve the simultaneous equation with three
unknowns: 2x + 4y – 4z = 20
2x – 2y + 4z = 8
5x – 2y – 2z = 20 ......
Simultaneous Linear Equations
Simultaneous Linear Equations with Two Unknowns:
a
1x + b1y = c1
a
2x + b2y = c2
Simultaneous Linear Equations with Three Unknowns:
a
1x + b1y + c1z = d1
a
2x + b2y + c2z = d2
a
3x + b3y + c3z = d3
Simultaneous Linear Equations with Four Unknowns:
a
1w + b1x + c1y + d1z = e1
a
2w + b2x + c2y + d2z = e2
a
3w + b3x + c3y + d3z = e3
a
4w + b4x + c4y + d4z = e4
EX #44
19
Press [ ]
or [ ] key

Example: Solve the cubic equation 5x3 + 2x2 – 2x + 1 = 0
For quadratic, cubic or quart equations, the variable name starts
with “X1”.
Quadratic, Cubic and Quart Equations
Quadratic equation : ax2 + bx + c = 0 (a second-order polynomial
equation with a single variable x)
Cubic equation : ax3 + bx2 + cx + d = 0 (an equation with cubic
polynomial)
Quart equation : ax4 + bx3 + cx2 + dx + e = 0
EX #45
Solve Function
You can solve custom calculation expressions in COMP mode.
Simply input the expression with different variables and press the
key.
• Solves for X, for example, when an equation is input as:
X = Y + 5, X
• Solves for Y, for example, when an equation is input as:
Y = X + 5, Y
Example: A cone with height "h' and a circular base with radius "r"; find
the cone volume using this formula:
Replace the variable "V" with X, variable "r"
with "B", and variable "h" with "C".
hs
r
X
Radius is 5cm, cone height is 20cm, calculate
the cone volume. And if the cone volume is
200cm3, with radius 2cm, calculate the
cone height. ...... EX #46
! If the expression does not have the equal sign ( = ) and perform
the Solve calculation, the calculator will transform the solution as
zero ( 0 ).
! Solve function cannot be solved an equation.
! When the expression cannot be solved, [Solve ERROR] will be
displayed.
Example: For the equation Y = 5x2 –2x +1, calculate the value of Y if
x = 5 or x = 7. ......
! The stored expression will be cleared as you start a new
calculation, change into another mode, or turn off the calculator.
CALC Function
CALC function is a memory zone with a maximum of 79
steps to store a single calculation expression which can be
recalled and calculated a number of times with different
values.
After inputting the calculation expression and pressing ,
the calculator will request for the current value of your input
variables.
CALC function can only be used in COMP mode or CPLX
mode.
EX #47
20