SHARP EL-W531TG Scientific Calculator User Manual
- June 16, 2024
- Sharp
Table of Contents
- SHARP EL-W531TG Scientific Calculator
- Product Information
- Operational Notes
- Before Using the Calculator
- SET UP Menu
- FAQ
- INTRODUCTION
- BEFORE USING THE CALCULATOR
- Random Function
- STATISTICAL CALCULATIONS
- TABLE MODE
- ERRORS AND CALCULATION RANGES
- SPECIFICATIONS
- References
- Read User Manual Online (PDF format)
- Download This Manual (PDF format)
SHARP EL-W531TG Scientific Calculator
Product Information
Specifications
- Model: EL-W531TG, EL-W531TH, EL-W535XG
- Display: Dot matrix display
- Mantissa: Shown in the display and calculation examples
- Exponent: Shown in the display and calculation examples
Introduction
The scientific calculator is designed to perform various calculations and
functions. It comes with a dot matrix display that shows both the mantissa and
exponent. Please refer to the reverse side of this manual for calculation
examples, formulas, and tables. After reading this manual, store it in a
convenient location for future reference. Note that some models described in
this manual may not be available in certain countries.
Operational Notes
NOTICE: If service is required for the calculator, it should be serviced in the region (country) where it was purchased.
Hard Case: The calculator comes with a hard case for protection.
Display: The calculator features a dot matrix display that shows the calculation results.
2ndF: When the @ key is pressed, the 2ndF function is enabled. Functions shown in the same color as @ are accessible.
HYP: When the H key is pressed, the hyperbolic functions are enabled. Pressing @ > displays the symbols 2ndF HYP, indicating that inverse hyperbolic functions are enabled.
ALPHA: The ALPHA function is enabled when ; is pressed. Functions shown in the same color as ; are accessible. Pressing x or t allows entry (recall) of memory contents.
FIX/SCI/ENG/N1/N2: The calculator offers different notations to display values. The notation used can be changed using the SET UP menu. N1 is displayed as NORM1, and N2 as NORM2.
DEG/RAD/GRAD: The calculator supports different angular units: degrees (DEG), radians (RAD), and gradians (GRAD).
BUSY: The BUSY symbol appears during the execution of a calculation.
W-VIEW: The WriteView editor is selected when the W-VIEW symbol is displayed.
M: The M symbol indicates that a numerical value is stored in the independent memory (M).
Before Using the Calculator
To turn on the calculator, press the j key. The display will show the data that was on-screen when the power was turned off. To turn off the calculator, press the @ o key.
Key Notations Used in this Manual:
- To specify ex: @
- To specify ln: i
- To specify E: ; E
Clearing the Entry and Memories:
- Operation: j
- Clear Entry: @ Z
- Mode Selection: *2
- Clear Memories: @ P 0, @ P 1 0, @ P 2 03, RESET switch3
- : Clear, : Retain
Mode Selection:
-
NORMAL mode: b 0 – Used for arithmetic operations and function
calculations. -
STAT mode: b 1 – Used for statistical operations.
-
TABLE mode: b 2 – Used to illustrate changes in values of a
function in table format. -
DRILL mode: b 3 – Used for math and multiplication table
drills.
HOME Key:
Press 7 to return to NORMAL mode from other modes. Note that
equations and values currently being entered will disappear,
similar to when the mode is changed.
SET UP Menu
Press J to display the SET UP menu. Press j to exit the SET UP menu. Press N to return to the previously displayed parent menu.
Selecting the Display Notation and Decimal Places:
- Two settings of Floating point (NORM1 and NORM2), Fixed decimal point (FIX), Scientific notation (SCI), and Engineering notation (ENG).
- When TAB is pressed, the number of decimal places can be set between 0 and 9.
- When the digits are pressed, the number of digits can be set between 0 and 9. Entering 0 will set the digits to automatic.
FAQ
Q: Where should I get my calculator serviced if needed?
A: If service is required, have the calculator serviced in the region
(country) where you purchased it.
INTRODUCTION
About the calculation examples (including some formulas and tables), refer to
the reverse side of this manual. After reading this manual, store it in a
convenient location for future reference. Note: Some of the models described
in this manual may not be
available in some countries.
Operational Notes
· Do not carry the calculator around in your back pocket, as it may break when
you sit down. The display is made of glass and is particularly fragile.
· Keep the calculator away from extreme heat such as on a car dashboard or
near a heater, and avoid exposing it to excessively humid or dusty
environments.
· Since this product is not waterproof, do not use it or store it where
fluids, for example water, can splash onto it. Raindrops, water spray, juice,
coffee, steam, perspiration, etc. will also cause malfunction.
· Clean with a soft, dry cloth. Do not use solvents or a wet cloth. Avoid
using a rough cloth or anything else that may cause scratches.
· Do not drop it or apply excessive force. · Never dispose of batteries in a
fire. · Keep batteries out of the reach of children. · For the sake of your
health, try not to use this product for long
periods of time. If you need to use the product for an extended period, be
sure to allow your eyes, hands, arms, and body adequate rest periods (about
1015 minutes every hour). If you experience any pain or fatigue while using
this product, discontinue use immediately. If the discomfort continues, please
consult a doctor. · This product, including accessories, may change due to
upgrading without prior notice.
NOTICE
· SHARP strongly recommends that separate permanent written records be kept of
all important data. Data may be lost or altered in virtually any electronic
memory product under certain circumstances. Therefore, SHARP assumes no
responsibility for data lost or otherwise rendered unusable whether as a
result of improper use, repairs, defects, battery replacement, use after the
specified battery life has expired, or any other cause.
· SHARP will not be liable nor responsible for any incidental or consequential
economic or property damage caused by misuse and/or malfunctions of this
product and its peripherals, unless such liability is acknowledged by law.
Press the RESET switch (on the back), with the tip of a ball-point pen or
similar object, only in the following cases. Do not use an object with a
breakable or sharp tip. Note that pressing the RESET switch erases all data
stored in memory. · When using for the first time · After replacing the
battery · To clear all memory contents · When an abnormal condition occurs and
all keys are inoperative
If service should be required on this calculator, have the calculator serviced
in the region (country) where you purchased it.
Hard Case
DISPLAY
Dot matrix display
Mantissa
Exponent
· During actual use, not all symbols are displayed at the same time. · Only
the symbols required for the usage under instruction are
shown in the display and calculation examples.
/ : Indicates that some contents are hidden in the directions
/
shown.
2ndF: Appears when @ is pressed, indicating that the functions shown in the same color as @ are enabled.
HYP:
Indicates that H has been pressed and the hyperbolic functions are enabled. If @ > is pressed, the symbols “2ndF HYP” appear, indicating that inverse hyperbolic functions are enabled.
ALPHA: Appears when ; is pressed, indicating that the functions shown in the same color as ; are enabled. Appears when x or t is pressed, and entry (recall) of memory contents can be performed.
FIX/SCI/ENG/N1/N2: Indicates the notation used to display a value and changes by SET UP menu. N1 is displayed on-screen as “NORM1”, and N2 as “NORM2”.
DEG/RAD/GRAD: Indicates angular units.
BUSY: Appears during the execution of a calculation.
W-VIEW: Indicates that the WriteView editor is selected.
M:
Indicates that a numerical value is stored in the
independent memory (M).
BEFORE USING THE CALCULATOR
Press j to turn the calculator on. The data that was on-screen when the power
was turned off will appear on the display. Press @ o to turn it off.
Key Notations Used in this Manual
To specify ex: @ ”
To specify ln: i
To specify E: ; E
· Functions that are printed in gray adjacent to the keys are effective in
specific modes.
· The multiplication operator ” ” is differentiated from the letter “X” in
this manual as follows: To specify the multiplication operator: k To specify
the letter “X”: ; X
· In certain calculation examples, where you see the o symbol, the key
operations and calculation results are shown as they would appear in the Line
editor.
· In each example, press j to clear the display first. Unless otherwise
specified, calculation examples are performed in the WriteView editor (J 2 0
0) with the default display settings.
Clearing the Entry and Memories
Operation
Entry AF, D1D3 ANS STAT*1 (Display) M, X, Y
j
@ Z
Mode selection (b)
*2
@ P 0
@ P 1 0
@ P 2 0*3
RESET switch*3
: Clear : Retain
1 Statistical data (entered data) 2 Cleared when changing between sub-modes in STAT mode. *3 The RESET operation will erase all data stored in memory and
restore the calculator’s default settings.
Memory clear key
Press @ P to display the menu. · To initialize the display settings, press 0.
The parameters set
as follows: · Angular unit: DEG · Display notation: NORM1 · N-base: DEC ·
Recurring decimal: OFF
Mode Selection
NORMAL mode: b 0 Used to perform arithmetic operations and function calculations.
STAT mode: b 1 Used to perform statistical operations.
TABLE mode: b 2 Used to illustrate the changes in values of a function in table format.
DRILL mode: b 3 Used to practice math and multiplication table drills.
HOME Key
Press 7 to return to NORMAL mode from other modes. Note: Equations and values
currently being entered will disappear,
in the same way as when the mode is changed.
SET UP Menu
Press J to display the SET UP menu. Press j to exit the SET UP menu. Note: You
can press N to return to the previously displayed
parent menu.
Determination of the angular unit (degrees, radians, and grades) DEG (°): J 0
0 (default) RAD (rad): J 0 1 GRAD (g): J 0 2
Selecting the display notation and decimal places
1
Two settings of Floating point (NORM1 and NORM2), Fixed decimal
point (FIX), Scientific notation (SCI), and Engineering notation (ENG).
· When J 1 0 (FIX) or J 1 2 (ENG) is
pressed, the number of decimal places (TAB) can be set to any
value between 0 and 9.
· When J 1 1 (SCI) is pressed, the number of significant
digits can be set to any value between 0 and 9. Entering 0 will set
a 10-digit display.
Setting the floating point number system in scientific notation
NORM1 (the default) and NORM2. A number is automatically displayed in
scientific notation outside a preset range:
NORM1 (J 1 3): 0.000000001 | x | 9,999,999,999 NORM2 (J 1 4): 0.01 | x |
9,999,999,999
Selecting the editor and setting the answer display
2
This calculator has the following two editors in NORMAL mode:
WriteView and Line.
Set the display format for numerical calculation results in WriteView
editor.
The WriteView editor
EXACT(a/b,r,p) J 2 0 0 (default)
APPROX.
J 2 0 1
The Line editor J 2 1
Notes:
· When “EXACT(a/b,r,p)” is set, results will appear in fraction format or
irrational number format (including p and r) when
display is possible.
· When “APPROX.” is set, results will be decimal display or
fraction display, and will be not shown in irrational number format
(including p and r).
· Press U to change the calculation results to another format
that can be displayed.
Adjusting the display contrast
Press J 3, then + or & to adjust the contrast. Press j to exit.
Insert and overwrite entry methods
When using the Line editor, you can change the entry method from “INSERT” (the
default) to “OVERWRITE”. After you switch to the overwrite method (by pressing
J 4 1), the triangular cursor will change to a rectangular one, and the number
or function underneath it will be overwritten as you make entries.
Setting the recurring decimal
3
In NORMAL mode, calculation results can be shown in a recurring
decimal format.
Recurring decimal is OFF: J 5 0 (default)
Recurring decimal is ON: J 5 1
· In the WriteView editor, the recurring part is indicated by “-“. In
the Line editor, the recurring part is indicated in parentheses.
· If over 10 digits, including the recurring part, the result cannot be
displayed in recurring decimal format.
Setting of the decimal point
You can show the decimal point in the calculation result as either a dot or a
comma.
DOT: J 6 0 (default) COMMA: J 6 1 · During entry, the decimal point is only
shown as a dot.
ENTERING, DISPLAYING, AND EDITING THE EQUATION 4
The WriteView Editor
Entry and display In the WriteView editor, you can enter and display fractions
or certain functions as you would write them. · The WriteView editor can be
used in NORMAL mode.
Displaying calculation results (when EXACT is selected)
When possible, calculation results will be displayed using fractions,
p r, and . When you press U, the display will cycle through the
following display styles:
p · Mixed fractions (with or without ) improper fractions (with or without p)
decimal numbers
· Proper fractions (with or without p) decimal numbers
· Irrational numbers (square roots, fractions made using square
roots) decimal numbers
Notes: · In the following cases, calculation results may be displayed using r:
· Arithmetic operations and memory calculations
· Trigonometric calculations · In trigonometric calculations, when
Entry value
entering values such as those in the table to the right, results may be shown using r. · Improper/proper fractions will be converted to and displayed as
DEG RAD GRAD
multiples of 15
multiples of 112 p multiples of 530
decimal numbers if the number of digits used in their expression
is greater than nine. In the case of mixed fractions, the maximum
number of displayable digits (including integers) is eight.
· If the number of digits in the denominator of a fractional result
p that uses is greater than three, the result is converted to and
displayed as a decimal number.
The Line Editor
Entry and display
In the Line editor, you can enter and display equations line by line. Notes: ·
Up to three lines of text may be viewed on the screen at one time. · In the
Line editor, calculation results are displayed in decimal form
or line fraction notation if possible. · Use U to switch the display format to
fractional form or
decimal form (if possible).
Editing the Equation
Just after obtaining an answer, pressing l brings you to the end of the
equation and pressing r brings you to the beginning. Press l, r, u, or d to
move the cursor. Press @ l or @ r to jump the cursor to the beginning or the
end of the equation.
Back space and delete key To delete a number or function, move the cursor to
the right of it, then press N. You can also delete a number or function that
the cursor is directly over by pressing @ y.
Note: In a multi-level menu, you can press N to back to the
previous menu level.
Multi-line Playback Function
5
This calculator is equipped with a function to recall previous equations and answers in NORMAL mode. Pressing u will
display the previous equation. The number of characters that can be
saved is limited. When the memory is full, stored equations will be
deleted to make room, starting with the oldest. · To edit an equation after recalling it, press l or r.
· The multi-line memory will be cleared by the following operations: @ Z , mode change, RESET, N-base conversion, angular unit conversion, editor change (J 2 0 0 ,J 2 0 1 or J 2 1), and memory clear (@ P
1 0).
Priority Levels in Calculation
This calculator performs operations according to the following priority:
1 Fractions (1m4, etc.) 2 Functions preceded by their argument
(x-1, x2, n!, etc.) 3 y x, xr 4 Implied multiplication of a memory
value (2Y, etc.) 5 Functions followed by their argument (sin, cos,
etc.) 6 7 nCr,
Implied multiplication
nPr, GCD, LCM 8 ×,
of
÷,
a function
int÷ 9 +,
-(21s0inA3N0D, A1114 O, Ret,cX.)OR,
XNOR 12 =, M+, M-, M, DEG, RAD, GRAD, r q, xy,
and other calculation ending instructions
· If parentheses are used, parenthesized calculations have
precedence over any other calculations.
SCIENTIFIC CALCULATIONS
· Press b 0 to select NORMAL mode.
Arithmetic Operations
6
· The closing parenthesis ) just before = or m may be
omitted.
Constant Calculations
7
· In constant calculations, the addend becomes a constant.
Subtraction and division are performed in the same manner. For
multiplication, the multiplicand becomes a constant.
· In constant calculations, constants will be displayed as K.
Conversion to Engineering notation
8
You can use ; < or ; > to convert the calculation
result to engineering notation.
· Press ; < to decrease the exponent. Press ; > to
increase the exponent.
· The settings (FSE) in the SET UP menu do not change.
Functions
9
· Refer to the calculation examples for each function.
· In the Line editor, the following symbols are used: · : to indicate an
expression’s power. (m, @ “, @ Y) · : to separate integers, numerators, and
denominators. (W, @ k)
· When using @ O or @ W in the Line editor, values
are entered in the following way:
· logn (base, value)
· abs value
Random Function
The random function has four settings. (This function cannot be selected while
using the N-base function.) To generate further random numbers in succession,
press e. Press j to exit.
Random numbers A pseudo-random number, with three significant digits from 0 up
to 0.999, can be generated by pressing @ w 0 e. Note: In the WriteView editor,
the result will be a fraction or 0.
Random dice To simulate a die-rolling, a random integer between 1 and 6 can be
generated by pressing @ w 1 e.
Random coin
To simulate a coin flip, 0 (heads) or 1 (tails) can be randomly generated by
pressing @ w 2 e.
Random integer
You can specify a range for the random integer with “R.Int(” only.
R.Int(minimum value, maximum value)
For example, if you enter @ w 3 1 H 99 ) e, a random integer from 1 to 99 will
be generated.
Angular Unit Conversions
10
Each time @ ] is pressed, the angular unit changes in sequence.
Memory Calculations
11
Memory calculations can be performed in NORMAL and STAT modes.
Temporary memories (AF, X and Y)
Press x and a variable key to store a value in memory. Press t and a variable
key to recall the value from that memory. To place a variable in an equation,
press ; and a variable key.
Independent memory (M)
In addition to all the features of temporary memories, a value can be added to
or subtracted from an existing memory value. Press j x M to clear the
independent memory (M).
Last answer memory (ANS)
The calculation result obtained by pressing = or any other calculation ending
instruction is automatically stored in the last answer memory. Notes: ·
Calculation results from the functions indicated below are
automatically stored in the X or Y memories replacing any existing values.
· r q, xy: X memory (r or x), Y memory (q or y) · Two x´ values from a
quadratic regression calculation in
STAT mode: X memory (1:), Y memory (2:) · Use of t or ; will recall the value
stored in memory
using up to 14 digits.
Definable memories (D1D3)
You can store functions or operations in definable memories (D1D3). · To
store a function or operation, press x, followed by a definable
memory key (I, J, or K), followed by the operation you want to store. Menu-
related operations, such as J, cannot be stored. Press j to return to the
previous display. · To call a stored function or operation, press the
corresponding memory key. Calling a stored function will do nothing if the
function that is called would be unusable in the current context. · Any
functions or operations that are stored in a definable memory will be replaced
when you save a new one into that memory. · You cannot store functions or
operations in definable memories when entering values or items in STAT mode.
Memory List
Press ; 9 to display a list of the values saved in memory. The values are
shown in a 9-character range. Applicable memories: A, B, C, D, E, F, X, Y, M
Chain Calculations
12
The previous calculation result can be used in the subsequent
calculation. However, it cannot be recalled after entering multiple
instructions.
Fraction Calculations
13
Arithmetic operations and memory calculations can be performed using fractions. In NORMAL mode, conversion between a decimal number and a fraction can be performed by pressing U.
Notes: · Improper/proper fractions will be converted to and displayed as
decimal numbers if the number of digits used in their expression is greater
than nine. In the case of mixed fractions, the maximum number of displayable
digits (including integers) is eight. · To convert a sexagesimal value to a
fraction, first convert it by pressing @ :.
Binary, Pental, Octal, Decimal, and Hexadecimal
Operations (N-base)
14
Conversions can be performed between N-base numbers in
NORMAL mode. The four basic arithmetic operations, calculations
with parentheses, and memory calculations can also be performed,
along with the logical operations AND, OR, NOT, NEG, XOR, and
XNOR on binary, pental, octal, and hexadecimal numbers.
Note: The hexadecimal numbers AF are entered by pressing
A
B
C
D
E
F
m , * , A , l , i , and H .
In the binary, pental, octal, and hexadecimal systems, fractional
parts cannot be entered. When a decimal number having
a fractional part is converted into a binary, pental, octal, or
hexadecimal number, the fractional part will be truncated.
Likewise, when the result of a binary, pental, octal, or hexadecimal
calculation includes a fractional part, the fractional part will be
truncated. In the binary, pental, octal, and hexadecimal systems,
negative numbers are displayed as a complement.
Time, Decimal, and Sexagesimal Calculations 15
Conversion between decimal and sexagesimal numbers can be performed. In
addition, the four basic arithmetic operations and memory calculations can be
performed using the sexagesimal system. Notation for sexagesimal is as
follows:
Degree
Minute
Second
Coordinate Conversions
16
· Before performing a calculation, select the angular unit.
· The results of coordinate conversions will be displayed as
decimal numbers even in the WriteView editor.
Rectangular coord.
Polar coord.
Modify Function
17
Decimal calculation results are internally obtained in scientific
notation, with up to 14 digits in the mantissa. However, since
calculation results are displayed in the form designated by the
display notation and the number of decimal places indicated, the
internal calculation result may differ from that shown in the display. By using the modify function (@ n), the internal value is
converted to match that of the display, so that the displayed value
can be used without change in subsequent operations.
· When using the WriteView editor, if the calculation result is displayed using fractions or irrational numbers, press U to
convert it to decimal form first.
Calculating the Greatest Common Divisor (GCD)
What is the GCD of j 24
24 and 36?
@ = 36
=
Calculating the Least Common Multiple (LCM)
What is the LCM of j 15
15 and 9?
@ ? 9
=
Calculating Quotient and Remainder
18
· “Q” indicates “Quotient”, and “R” indicates “Remainder”. · Pressing @ 6
cannot be followed by pressing a key for
another operation such as (+, , ×, ÷), otherwise an error will
result. · The quotient and remainder are shown in “NORM1” format.
If not all digits can be displayed in “NORM1” format, normal division is
performed.
Prime Factorization
19
In NORMAL mode, the calculation result can be shown as a product of prime numbers.
· A positive integer greater than 2 and no more than 10 digits can
be factored into primes.
· A number that cannot be factored into a prime number with 3
digits or shorter is shown in parentheses.
· The calculation result of prime factorization is displayed
according to the editor setting (W-VIEW or LINE). · The calculation result of
prime factorization may extend off the
edges of the screen. You can see those parts by pressing l or r. To jump to
the left end or right end, press @ l or @ r.
STATISTICAL CALCULATIONS
20 21
Statistical calculations can be performed in STAT mode. There are eight sub-
modes within STAT mode. Press b 1, then press the number key that corresponds
to your choice:
0 (SD): Single-variable statistics 1 (a+bx): Linear regression 2 (a+bx+cx2):
Quadratic regression 3 (a·e^bx): Euler exponential regression 4 (a+b·lnx):
Logarithmic regression 5 (a·x^b): Power regression 6 (a+b/x): Inverse
regression 7 (a·b^x): General exponential regression
The statistical data input screen appears.
After entering statistical data from the input screen, press _ or j and close
the input table. You can then check statistical values from the STAT menu (;
8) and specify statistical variables.
Data Entry and Correction
Data entry Entry field
Single-variable data table Two-variable data table
· After entering the data, press e. The input is finalized and
the cursor moves to the next line. If data was not entered in an x or y, 0 is
entered, 1 is entered in FRQ (frequency), and the cursor
moves to the next line. · You can use H to enter X and FRQ (or X, Y, and FRQ)
at once. · In the input table, up to 6 digits are displayed for each value,
including the sign and decimal point. Any values that exceed 6 digits in
length are displayed in exponent notation. · Up to 100 data items can be
entered. With single-variable data, a data item with an assigned frequency of
one is counted as one data item, while an item with an assigned frequency of 2
or higher is stored as a set of two data items. With two-variable data, a set
of data items with an assigned frequency of one is counted as two data items,
while a set of items with an assigned frequency of 2 or higher is stored as a
set of three data items. · To execute statistical calculation, press or j
and close the input table.
Data correction Use l, r, u, or d to move the cursor and select the desired
data. Press @ u or @ d to jump the cursor to the beginning or end of the data.
Data correction Move the cursor to the data that you want to correct, enter
the numeric value, and press e.
Data insertion To insert a line in front of the cursor position, press ; T.
The initial values entered in the inserted data are 0 in x and y, and 1 in
FRQ.
Data deletion To delete the entire line where cursor is positioned, press @ y.
Notes: · In STAT mode, all statistical data will be erased if the submode
is changed or @ Z is pressed. · In STAT mode, press to display the input
table.
Statistical Calculations and Variables
The following statistics can be obtained for each statistical calculation
(refer to the table below):
Single-variable statistical calculation Statistics of 1 and 3 .
Linear regression calculation Statistics of 1 , 2 and 4 . In addition, the
estimate of y for a given x (estimate y´) and the estimate of x for a given y
(estimate x´).
Quadratic regression calculation Statistics of 1 , 2 and 4 . And coefficients
a, b, c in the quadratic regression formula (y = a + bx + cx2). (For quadratic
regression calculations, no correlation coefficient (r) can be obtained.) When
there are two x´ values, each value will be displayed with “1:” or “2:”, and
stored separately in the X and Y memories. You can also specify the 1st value
(x1′) and the 2nd value (x2′) separately.
Euler exponential regression, logarithmic regression,
power regression, inverse regression,
and general exponential regression calculations Statistics of 1 , 2 and 4 . In
addition, the estimate of y for a given x and the estimate of x for a given y.
(Since the calculator converts each formula into a linear regression formula
before actual calculation takes place, it obtains all statistics, except
coefficients a and b, from converted data rather than entered data.)
n
Number of samples
x
Mean of samples (x data)
sx
Sample standard deviation (x data)
s2x
Sample variance (x data)
sx 1 s2x
Population standard deviation (x data) Population variance (x data)
x
Sum of samples (x data)
x2
Sum of squares of samples (x data)
xmin Minimum value of samples (x data)
xmax Maximum value of samples (x data)
y
Mean of samples ( y data)
sy
Sample standard deviation ( y data)
s2y
Sample variance ( y data)
sy
Population standard deviation ( y data)
s2y
Population variance ( y data)
y
Sum of samples ( y data)
2 y 2
Sum of squares of samples ( y data)
xy Sum of products of samples (x, y)
x2y Sum of products of samples (x2, y)
x3
Sum of 3rd powers of samples (x data)
x4 ymin
Sum of 4th powers of samples (x data) Minimum value of samples ( y data)
ymax Maximum value of samples ( y data)
Q1
First quartile of sample (x data)
3 Med Median of sample (x data)
Q3
Third quartile of sample (x data)
r
Correlation coefficient (Except Quadratic regression)
a
Coefficient of regression equation
b 4c
Coefficient of regression equation Coefficient of quadratic regression equation
R2
Coefficient of determination (Quadratic regression)
r2
Coefficient of determination (Except Quadratic regression)
STAT Menu
After closing the input table, you can view statistical values, view
regression coefficient values, and specify statistical variables from STAT
menu (; 8).
; 8 0: Display statistical values ; 8 1: Display regression coefficient values
; 8 2: Specify statistical value variables
; 8 3: Specify statistical value ( related) variables
; 8 4: Specify max/min value variables ; 8 5: Specify regression coefficient
variables
Notes: · List display of regression coefficient values and specification of
regression coefficient variables do not appear in single-variable statistical
calculation.
· Estimated values x’ and y’ are specified with the keys (@ V, @ U). If there
are two x’ values, you can specify x1′ and x2′ from the STAT menu (; 8 5) to
obtain the values
separately. · In the statistical value and regression coefficient value lists,
you
cannot return to the menu by pressing N.
Statistical Calculation Formulas
22
An error will occur when:
· The absolute value of the intermediate result or calculation result
is equal to or greater than 1 × 10100.
· The denominator is zero.
· An attempt is made to take the square root of a negative number.
· No solution exists in the quadratic regression calculation.
TABLE MODE
You can see the changes in values of one or two functions using TABLE mode.
Setting a table
1. Press b 2 to enter TABLE mode. 2. Enter a function (Function1), and press
e. 3. If needed, enter the 2nd function (Function2) and press e. 4. Enter a
starting value (X_Start:), and press e.
The default starting value is 0. 5. Enter a step value (X_Step:). The default
step value is 1.
· You can use u and d to move the cursor between the starting value and step
value.
6. Press e when you finish entering a step value. A table with a variable X
and the corresponding values (ANS column) appears, displaying 3 lines below
the starting value. If you entered two functions, the ANS1 and ANS2 columns
appear. You can use u and d to change the X value and see its corresponding
values in table format.
· The table is for display only and you cannot edit the table. · The values
are displayed up to 7 digits, including signs and a
decimal point. · Press l or r to move the cursor to ANS column (ANS1
and ANS2 columns if you entered two functions) or X column. · Full digits of
the value on the cursor are displayed on the bottom
right.
Notes: · In a function, only “X” can be used as a variable, and other
variables are all regarded as numbers (stored into the variables).
· Irrational numbers such as r and can also be entered into a
starting value or a step value. You cannot enter 0 or a negative number as a
step value. · You can use WriteView editor when inputting a function. · The
following features are not used in TABLE mode: coordinate conversions,
conversion between decimal and sexagesimal numbers, and angular unit
conversions. · It may take time to make a table, or “——-” may be displayed,
depending on the function entered or conditions specified for the variable X.
· Please note that when making a table, the values for variable X are
rewritten. · Press @ Z or mode selection to return to the initial screen of
the mode, and return to the default values for the starting value and step
value.
DRILL MODE
Math Drill: b 3 0 Math operation questions with positive integers and 0 are
displayed randomly. It is possible to select the number of questions and
operator type.
Multiplication Table (× Table): b 3 1
Questions from each row of the multiplication table (1 to 12) are displayed
serially or randomly.
To exit DRILL mode, press b and select another mode.
Using Math Drill and × Table 1. Press b 3 0 for Math Drill or b 3 1 for ×
Table.
2. Math Drill: Use u and d to select the number of
questions (25, 50, or 100). × Table: Use u and d to select a row in the
multiplication
table (1 to 12). 3. Math Drill: Use l and r to select the operator type for
questions (+, -, ×, ÷, or +-×÷).
× Table: Use l and r to select the order type (“Serial” or
“Random”). 4. Press e to start.
When using Math Drill or × Table (random order only), questions
are randomly selected and will not repeat except by chance. 5. Enter your
answer. Press j or N to clear the entered
number and then enter the correct answer. 6. Press e.
· If the answer is correct, ” ” appears and the next question is displayed. ·
If the answer is wrong, ” “appears and the same question is
displayed. This will be regarded as an incorrect answer. · If you press e
without entering an answer, the correct
answer is displayed and then the next question is displayed.
This will be regarded as an incorrect answer.
7. Continue answering the series of questions by entering the answer and
pressing e.
8. After you finish, press e and the number and percentage of
correct answers are displayed. 9. Press e to return to the initial screen for
your current drill.
Ranges of Math Drill Questions
The range of questions for each operator type is as follows.
Addition operator: “0 + 0” to “20 + 20”
]
Subtraction operator: “0 – 0” to “20 – 20”; answers are
positive integers and 0.
Multiplication operator: “1 × 0” or “0 × 1” to “12 × 12”
)
Division operator: “0 ÷ 1” to “144 ÷ 12”; answers are
positive integers from 1 to 12 and 0, dividends of up to
144, and divisors of up to 12.
+]>) Mixed operators: Questions within all the above ranges
are displayed.
ERRORS AND CALCULATION RANGES
Errors
An error will occur if an operation exceeds the calculation ranges, or if a
mathematically illegal operation is attempted. When an error occurs, pressing
l or r automatically moves the cursor back to the place in the equation where
the error occurred. Edit the equation or press j to clear the equation.
Error codes and error types
ERROR 01: Syntax error · An attempt was made to perform an invalid operation.
Ex. 2 + & 5 =
ERROR 02: Calculation error · The absolute value of an intermediate or final
calculation result
equals or exceeds 10100. · An attempt was made to divide by zero (or an
intermediate
calculation resulted in zero). · The calculation ranges were exceeded while
performing calculations. · 0 or a negative number was entered as a step value
in TABLE
mode. The absolute value of a starting value or a step value equals or exceeds
10100 in TABLE mode. · When the number to be factored into primes is greater
than 2 and other than a 10-digit positive integer, or when the result of prime
factorization is a negative number, decimal, fraction, r, or .
ERROR 03: Nesting error · The available number of buffers was exceeded. (There
are 10 buffers
for numeric values and 64 buffers for calculation instructions).
ERROR 04: Data over · Data items exceeded 100 in STAT mode.
Alert Messages
Cautions
· Fluid from a leaking battery accidentally entering an eye could result in
serious injury. Should this occur, wash with clean water and immediately
consult a doctor.
· Should fluid from a leaking battery come in contact with your skin or
clothes, immediately wash with clean water.
· If the product is not to be used for some time, to avoid damage to the unit
from a leaking battery, remove it and store in a safe place.
· Do not leave an exhausted battery inside the product. · Keep batteries out
of the reach of children. · An exhausted battery left in the calculator may
leak and
damage the calculator. · Explosion risk may be caused by incorrect handling. ·
Do not throw batteries into a fire as they may explode.
Replacement Procedure
1. Turn the power off by pressing @ o. 2. Remove two screws. (Fig. 1) 3. Lift
the battery cover to remove. 4. EL-W531TG/W535XG: Remove the used battery by
prying it
out with a ball-point pen or other similar pointed device. (Fig. 2) EL-W531TH:
Remove the used battery. 5. EL-W531TG/W535XG: Install one new battery. Make
sure the
“+” side is facing up. EL-W531TH: Install one new battery. First insert the
“-” side
toward the spring. (Fig. 3) 6. Replace the cover and screws. 7. Press the
RESET switch (on the back) with the tip of a
ball-point pen or similar object. 8. Adjust the display contrast. See
“Adjusting the display
contrast”. And then press j. · Make sure that the display appears as shown
below. If the
display does not appear as shown, remove the battery, reinstall it, and check
the display once again.
Cannot delete! · The selected item cannot be deleted by pressing N or @
y in the WriteView editor. Ex. * 5 r A l N In this example, delete the
exponent before attempting to delete the parentheses.
Fig. 1
Fig. 2
Fig. 3
Cannot call! · The function or operation stored in definable memory (D1 to D3)
cannot be called. Ex. An attempt was made to recall a statistical variable
from within NORMAL mode.
Buffer full! · The equation (including any calculation ending instructions)
exceeded its maximum input buffer (159 characters in the WriteView editor or
161 characters in the Line editor). An equation may not exceed its maximum
input buffer.
Automatic Power Off Function
This calculator will turn itself off to save battery power if no key is
pressed for approximately 10 minutes.
SPECIFICATIONS
Calculation Ranges
24
· Within the ranges specified, this calculator is accurate to ±1
of the 10th digit of the mantissa. However, a calculation error
increases in continuous calculations due to accumulation of
each calculation error. (This is the same for y x, xr, n!, ex, ln,
etc., where continuous calculations are performed internally.)
Additionally, a calculation error will accumulate and become larger
in the vicinity of inflection points and singular points of functions.
· Calculation ranges
±10-99 to ±9.999999999 × 1099 and 0.
If the absolute value of an entry or a final or intermediate result of a calculation is less than 10-99, the value is considered to be 0
in calculations and in the display.
Display of results using r (when EXACT is selected)
Calculation results may be displayed using r when all of the following
conditions are met: · When intermediate and final calculation results are
displayed in
the following form:
±a P eb ± c P fd
· When each coefficient falls into the following ranges:
1 a < 100; 1 < b < 1,000; 0 c < 100; 1 d < 1,000; 1 e < 100; 1 f < 100
· When the number of terms in the intermediate and final calculation results
is one or two.
Note: The result of two fractional terms that include r will be reduced to a
common denominator.
BATTERY REPLACEMENT
Display:
96 × 32 dot matrix liquid crystal display
Display of calculation results:
Mantissa: 10 digits
Exponent: 2 digits
Internal calculations: Pending operations: Power source:
Operating time: (varies according to use and other factors)
Operating temperature: External dimensions: Weight:
Accessories:
Mantissas of up to 14 digits 64 calculations 10 numeric values
EL-W531TG/W535XG Built-in solar cells 1.5 V …– (DC): Backup battery
(Alkaline battery (LR44 or equivalent) × 1)
EL-W531TH 1.5 V …– (DC): Heavy duty manganese
battery (size AAA or R03) × 1
EL-W531TG/W535XG Approx. 3,000 hours when continuously displaying 55555 at
25°C (77°F), using the alkaline battery only EL-W531TH Approx. 17,000 hours
when continuously displaying 55555 at 25°C (77°F) 0°C40°C (32°F104°F)
80 mm (W) × 166 mm (D) × 15 mm (H) 3-5/32″ (W) × 6-17/32″ (D) × 19/32″ (H)
EL-W531TG/W535XG Approx. 113 g (0.25 lb) (including battery) EL-W531TH Approx.
119 g (0.27 lb) (including battery)
Battery × 1 (installed), operation manual,
and hard case
Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leakage or explosion. Be
sure to observe the following handling rules: · Make sure the new battery is
the correct type. · When installing, orient the battery properly as indicated
in the calculator. · The battery is factory-installed before shipment, and may
be exhausted before it reaches the service life stated in the specifications.
FOR MORE INFORMATION ABOUT SCIENTIFIC CALCULATORS
Visit our Web site. https://global.sharp/calculator/
Notes on erasure of memory contents When the battery is replaced, the memory
contents are erased. Erasure can also occur if the calculator is defective or
when it is repaired. Make a note of all important memory contents in case
accidental erasure occurs.
When to Replace the Battery
EL-W531TH: If the display has poor contrast even after adjusting the display
contrast, the battery requires replacement. EL-W531TG/W535XG: If the display
has poor contrast or nothing appears on the display when j is pressed in dim
lighting, even after adjusting the display contrast, it is time to replace the
battery.
ENGLISH
CALCULATION EXAMPLES EXEMPLES DE CALCUL ANWENDUNGSBEISPIELE EJEMPLOS DE
CÁLCULO ESEMPI DI CALCOLO RÄKNEEXEMPEL LASKENTAESIMERKKEJÄ
EL-W531TG EL-W531TH EL-W535XG
1 J (FSE)
100000 ÷ 3 = [NORM1]
j 100000 z 3 = U U
[FIX: TAB 2] J 1 0 2 [SCI: SIG 2] J 1 1 2 [ENG: TAB 2] J 1 2 2 [NORM1] J 1 3
33’333.33333 33’333.33 3.3b04 33.33b03
33’333.33333
2 J (EDITOR)
[APPROX.] j J 2 0 1
1 ÷ 2 =
1 z 2 =
[EXACT(a/b,r,p)] J 2 0 0
1 ÷ 2 =
1 z 2 =
0. 0.5
0. 1 2
3 J (RECURRING DECIMAL)
[ON]
j J 5 1
611 ÷ 495 =
611 z 495 =
U
U
- 1 116
495
611
495 1.234
o
U U 611 z 495 =
1.234343434
1 116
495 1.2(34)
[OFF]
U U U U j J 5 0
1.234343434 1m116m495 611m495 1.2(34) 0.
4 U 25 + 34 =
P3 × P5 = sin 45 =
j 2 W 5 r + W 3 r 4 =
U
1 3
20
23
20
U
1.15
U
- 3 r k * 5 =
1 3
20
H 15
U
3.872983346
v 45 =
Q2
2
U
0.707106781
5 ud
@ Z
1 3(5 + 2) =
3 ( 5 + 2 ) =
2 3×5+2= 3k5+2=
3 (5 + 3) × 2 = ( 5 + 3) k 2 =
1
@ u
2
d
1
u
3
@ d
8-2 – 34 × 52 =
0. 21. 17. 16. 21. o 17. 21. 16.
8 m S 2 r & 3m4r k5 A =
U
-2024
63
64
–
1 29599
64
U
-2’024.984375
8 m S 2 & 3 m 4 k 5 A =
U
U
-2’024.984375 -2024m63m64 -129599m64
6 +&kz()S`
45 + 285 ÷ 3 = 1 8 + 6 = 15 – 8 42 × -5 + 120 = (5 × 103) ÷ (4 × 10-3) =
j 45 + 285 z 3 =
( 18 + 6 ) z (15 & 8 =
3 3
7
42 k S 5 + 120 =
-90.
5 3 z 4
S 3 =
1’250’000.
7
34 + 57 =
45 + 57 = 68 × 25 = 68 × 40 =
34 + 57 = 45 = 68 k 25 = 40 =
91. 102. 1’700. 2’720.
83 = p49 – 4p81 = o
3p27 =
8 @ 1 =
- 49 r & 4 @ D 81 = * 49 & 4 @ D 81 =
@ q 27 =
4! =
4 @ B =
10P3 =
10 @ e 3 =
5C2 =
5 @ c 2 =
500 × 25% =
500 k 25 @ a
120 ÷ 400 = ?%
120 z 400 @ a
500 + (500 × 25%) = 500 + 25 @ a
400 – (400 × 30%) = 400 & 30 @ a
|5 – 9| =
@ W 5 & 9 =
-
4. 3. 24. 720. 10. 125. 30. 625. 280. 4.
8 <>
6789=
j 6789 = ; > ; >
6’789. 6.789b03 0.006789b06
DEG RAD GRAD
q = sin-1 x, q = tan-1 x
-90 q 90 – p2 q p2 -100 q 100
q = cos-1 x 0 q 180 0 q p 0 q 200
; < ; <
6789.b00
; <
6789000.b-03
9 v$tw^ysH> ilO” VYZA1 m * D q B e c a W
sin 60 [°] =
j J 0 0 v 60 =
Q 3
2
cos
p
4
[rad]
=
U
0.866025403
J 0 1 $ s W 4 =
Q2
2
tan-1 1 [g] =
U
J 0 2 @ y 1 =
J 0 0
(cosh 1.5 + sinh 1.5)2 = j ( H $ 1.5 + H v 1.5 ) A =
tanh-1 75 =
@ > t ( 5 z 7 ) =
ln 20 =
i 20 =
0.707106781 50.
20.08553692 0.895879734 2.995732274
log 50 =
l 50 =
1.698970004
log2 16384 =
o
e3 = 1 ÷ e =
101.7 = 1 + 1 =
6 7
@ O 2 r 16384 =
@ O 2 H 16384 )
=
@ ” 3 =
20.08553692
1 z ; V =
0.367879441
@ Y 1.7 = 50.11872336
6 @ Z + 7 @ Z =
13
42
U
0.309523809
10 ] 90° [rad] [g] [°]
j 90 @ ] @ ] @ ]
1 J
2 100.
90.
11 ; t x m M < I J K
8×2 M
j 8 k 2 x M
24 ÷ (8 × 2) =
24 z ; M =
1 1
2
(8 × 2) × 5 =
; M k 5 =
0 M
j x M
$150 × 3 M1
150 k 3 m
+) $250: M1 + 250 M2 250 m
-) M2 × 5%
M =
t M k 5 @ a @ M
t M
4 2+46
=
2
2
5
…(A)
3 × (A) + 60 ÷ (A) =
24 z ( 4 + 6 ) =
3 k ; < + 60 z ; < =
sinh-1 D1
x I @ > v
- 35. 665.
2 2
5
32 1
5
sinh-1 0.5 =
I 0.5 =
0.481211825
12 6 + 4 = ANS ANS + 5 = 8 × 2 = ANS ANS2 =
j 6 + 4 = + 5 = 8 k 2 = A =
10. 15. 16. 256.
13 W k
3
1
2
4
3
=
j 3 @ k 1 d 2 r + W 4 d 3 =
U
4 5
6
29
6
U
4.833333333
o
3 W 1 W 2 + 4 W 3 =
4m5m6*
U
29m6
U
4.833333333
4m5m6
=
4
5
6
14 z r g h / d n 4 p x C
DEC (25) BIN HEX (1AC)
j @ / 25
@ z
BIN
@ h 1AC
11001
BIN
@ z
BIN
PEN
@ r
PEN
OCT
@ g
OCT
DEC
@ /
BIN (111) NEG
@ z d 111 =
BIN
1011 AND 101 = @ z 1011
[BIN]
4 101 = BIN
5A OR C3 = [HEX]
@ h 5A p
C3 =
HEX
NOT
10110
=
[BIN]
@ z n 10110 =
BIN
24 XOR 4 = [OCT]
@ g 24 x
4 =
OCT
B3 XNOR 2D =
[HEX]
@ h B3 C
2D =
HEX
DEC
@ /
110101100 3203 654 428.
1111111001
1 DB 1111101001 20 FFFFFFFF61 -159.
15 [ : 7°31’49.44″ [10] 123.678 [60]
j 7 [ 31 [ 49.44 @ :
123.678 @ :
3h 30m 45s + 6h 45m 36s = [60] 1234°56’12” + 0°0’34.567″ = [60] 3h 45m 1.69h = [60] sin 62°12’24” = [10]
3 [ 30 [ 45 + 6 [ 45 [ 36 =
1234 [ 56 [ 12 + 0 [ 0 [ 34.567 =
3 [ 45 & 1.69 = @ :
v 62 [ 12 [ 24 =
16 u E H
( ( x = 6
r =
y = 4 q = [°]
j 6 H 4 @ u
r: {:
( ( r = 14
q = 36
[°]
x = y =
14 H 36 @ E
X: Y:
17 n [FIX, TAB = 1] j J 1 0 1
5 ÷ 9 = ANS
5 z 9 =
ANS × 9 = [MDF]
U k 9 = *1 5 z 9 = U @ n
ANS × 9 =
k 9 = *2
U U
[NORM1]
J 1 3
*1
5
9
×
9
=
5.5555555555555
×
10-1
×
9
*2 3 × 9 = 0.6 × 9
5
7 663
1250 123(40q40.8″
10(16 q21.”
1234(56 q47.” 2(3q36.”
0.884635235
7.211102551 33.69006753 11.32623792 8.228993532
0.0
5
9 0.6 5.0
5
9 0.6
3
5
5 2
5 5.4 5.4
18 6
23 ÷ 5 =
j 23 @ 6 5 =
Q: R:
4. 3.
9.5 ÷ 4 =
9.5 @ 6 4 =
Q:
R:
1.5
-32 ÷ (-5) =
S 32 @ 6 S 5 Q:
=
R:
6. -2.
19 5 12210 = j 12210 =
12’210.
@ 5
2×3×5×11×37
@ 5 1234567 = 1234567 =
12’210. 1’234’567.
@ 5
127×(9721)
20 b (STAT) INS-D
DATA b 1 0
20
X
30
1
z
40
FRQ
40 20 e 30 e 40 H 2 e 50 e
50
X
FRQ
34
2
45
1
z5 z
DATA 30 40 40 45 45 45 60
@ u @ y d d ; INS-D 45 H 3 e 60 e
X
3 45 46 5z
FRQ
3 1
21 b (STAT) _ 8 V U
DATA 95
80 80
75 75 75
50
b10@Z _ 95 e 80 H 2 e 75 H 3 e 50 e
X
3 75 45 5z
FRQ
3 1
_
; 8 0
Stat 0[SD] 0.
=
= 75.7142857
= 13.3630621
= 178.571429
d
= 12.3717915
= 153.061224
=
=
41’200.
d
=
=
=
=
d
=
( 95 s-xx ) × 10 + 50 =
j ( 95 &
; 8 2 1 ) z ; 8 2 2 k 10 + 50 =
64.43210706
DATA xy 25 25
12 24
21 40 21 40 21 40
15 25
b 1 1 2 H 5 H 2 e 12 H 24 e 21 H 40 H 3 e 15H 25 e
X
3 21 4 15 5
Y
4 25
FRQ
3 1
_
Stat 1[a+bx] 0.
; 8 1
1.050261097 1.826044386 0.995176343
j ; 8 0 d d d d d
=
654’836.
=
=
x = 3 y´ = ? j 3 @ U 3y´ 6.528394256
y = 46 x´ = ? 46 @ V 46x´ 24.61590706
DATA xy
12 41
b 1 2 12 H 41 e 8 H 13 e 5 H 2 e 23H 200 e 15H 71 e
8 13 52 23 200
X
4 23 5 15 6
Y
2 71
FRQ
1 1
15 71 _
Stat 2[a+bx+cx2] 0.
; 8 1
5.357506761 -3.120289663 0.503334057
d
0.99994896
x = 10 y´ = ? j10 @ U 10y´
y = 22 x´ = ? 22 @ V
22 x´
1:
2:
24.4880159
9.63201409 -3.432772026
22 ; 8 5 5
22 x´2 -3.432772026
22
x = Snx sx = S xn2 — n1x2 y = Sny
sy = S yn2 — n1 y2
sx = S x2 n- nx2 sy = S y2 n- ny2
23 b (TABLE)
x2 + 1
b 2 ; X A + 1 e e
X_Start: -2 S 2 e X_Step: 1 1 e
d d d d
-2.
x2 + 1
b 2 ; X A + 1 e
x+5 ;X+
5 e
1
2
6
X_Start: 1 1 e X_Step: 1 1 e
2
5
7
3
1
8
24 Function Fonction Funktion Función Funzioni Funktion Funktio
sin x, cos x, tan x
sin1 x, cos1 x tan1 x, 3Px ln x, log x, loga x
yx
xPy
ex 10 x
sinh x, cosh x, tanh x sinh1 x cosh1 x tanh1 x x2 x3 Px x 1
n!
nPr
nCr
DEG, D°M’S
x, y r, q
r, q x, y
DRG nGCDn, nLCMn
R.Int(m, n)
DEC BIN PEN OCT HEX AND OR XOR XNOR
Dynamic range Plage dynamique zulässiger Bereich Rango dinámico Campi dinamici Definitionsområde Dynaaminen ala
DEG: | x | < 1010
(tan x : | x | 90(2n – 1))*
RAD:
| x | < p × 1010
180
(tan x: | x |
p
2
(2n
–
1))*
GRAD:
| x |
<
10
9
×
1010
(tan x: | x | 100(2n – 1))*
|x| 1
| x | < 10100
1099 x < 10100, 1099 a < 10100 (a 1)
· y > 0: -10100 < x log y < 100 · y = 0: 0 < x < 10100 · y < 0: x = n
(0 < | x | < 1: 1x = 2n – 1, x 0), -10100 < x log | y | < 100
· y > 0: -10100 < 1x log y < 100 (x 0) · y = 0: 0 < x < 10100 · y < 0: x = 2n
– 1
(0 < | x | < 1: 1x = n, x 0), -10100 < 1x log | y | < 100
-10100 < x 230.2585092 -10100 < x < 100
| x | 230.2585092 | x | < 1050 1 x < 1050
|x| < 1 | x | < 1050 | x | < 2.15443469 × 1033 0 x < 10100 | x | < 10100 (x 0)
0 n 69*
0 r n 9999999999* ( n n-! r)! < 10100
0 r n 9999999999*
0 r 69
n!
(n – r)!
<
10100
0°0’0.00001″ | x | < 10000°
x 2 + y 2 < 10100
0 r < 10100
DEG: | q | < 1010
RAD:
| q |
<
p
180
×
1010
GRAD: | q | < 190 × 1010
DEG RAD, GRAD DEG: | x | < 10100 RAD GRAD: | x | < p2 × 1098 0 < n < 1010 *
| m | 9999999999
| n | 9999999999 m < n, n – m < 1010
DEC: | x | 9999999999 BIN: 1000000000 x 1111111111
0 x 111111111 PEN: 2222222223 x 4444444444
0 x 2222222222 OCT: 4000000000 x 7777777777
0 x 3777777777 HEX: FDABF41C01 x FFFFFFFFFF
0 x 2540BE3FF
NOT
BIN: 1000000000 x 1111111111 0 x 111111111
PEN: 2222222223 x 4444444444 0 x 2222222221
OCT: 4000000000 x 7777777777 0 x 3777777777
HEX: FDABF41C01 x FFFFFFFFFF 0 x 2540BE3FE
NEG
BIN: 1000000001 x 1111111111 0 x 111111111
PEN: 2222222223 x 4444444444 0 x 2222222222
OCT: 4000000001 x 7777777777 0 x 3777777777
HEX: FDABF41C01 x FFFFFFFFFF 0 x 2540BE3FF
- m, n, r: integer / entier / ganze Zahlen / entero / intero / heltal / kokonaisluk
References
Read User Manual Online (PDF format)
Read User Manual Online (PDF format) >>