# Sharp EL-509W, EL-531W, EL-531WG, EL-531WH Owner Manual

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EL-509W/531W(G/H) _ENGLISH_1

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model

EL-509W/531W/531WG/531WH.

About the calculation examples (including some formulas and

tables), refer to the reverse side of this English manual. Refer to

the number on the right of each title on the manual for use.

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

EL-509W/531W/531WG/531WH.

About the calculation examples (including some formulas and

tables), refer to the reverse side of this English manual. Refer to

the number on the right of each title on the manual for use.

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.

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 exces-

sively humid or dusty environments.

sively 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.

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.

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

• This product, including accessories, may change due to up-

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

• This product, including accessories, may change due to up-

grading 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.

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.

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 batteries

• To clear all memory contents

• When an abnormal condition occurs and all keys are inop-

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 batteries

• To clear all memory contents

• When an abnormal condition occurs and all keys are inop-

erative.

If service should be required on this calculator, use only a SHARP

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

Hard Case

DISPLAY

• During actual use, not all symbols are displayed at the same

time.

• Certain inactive symbols may appear visible when viewed from

a far off angle.

• Only the symbols required for the usage under instruction are

shown in the display and calculation examples of this manual.

PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA

04LGK (TINSE0706EH02)

SCIENTIFIC CALCULATOR

OPERATION MANUAL

EL-509W

EL-531W

EL-531WG

EL-531WH

EL-531W

EL-531WG

EL-531WH

MODEL

1 2 3 4 5 6 7 8 9 0 . ,

1 2 3 4 5 6 7 8 9 0 . ,

1 2 3 4 5 6 7 8 9 0 . ,

1 2 3 4 5 6 7 8 9 0 . ,

1 2 3 4 5 6 7 8 9 0 . ,

1 2 3 4 5 6 7 8 9 0 . ,

SHARP CORPORATION

Exponent

Equation

→

Display

Mantissa

←Symbol

/

: Appears when the entire equation cannot be displayed.

Press </> to see the remaining (hidden) section.

: Indicates that data can be visible above/below the screen.

These indications may appear when menu, multi-line play-

back, and statistics data are displayed. Press [/]

to scroll up/down the view.

back, and statistics data are displayed. Press [/]

to scroll up/down the view.

2ndF

: Appears when @ is pressed, indicating that the func-

tions shown in orange are enabled.

HYP

: Indicates that h has been pressed and the hyperbolic

functions are enabled. If @H are pressed, the

symbols “2ndF HYP” appear, indicating that inverse hy-

perbolic functions are enabled.

symbols “2ndF HYP” appear, indicating that inverse hy-

perbolic functions are enabled.

ALPHA: Indicates that K (STAT VAR), O or R has been

pressed, and entry (recall) of memory contents and recall

of statistics can be performed.

of statistics can be performed.

FIX/SCI/ENG: Indicates the notation used to display a value and

changes by SET UP menu.

DEG/RAD/GRAD: Indicates angular units and changes each time

G is pressed.

STAT

: Appears when statistics mode is selected.

M

: Indicates that a numerical value is stored in the independ-

ent memory.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

To specify e

x

:

@e

To specify ln :

I

To specify F :

Kü

Functions that are printed in orange above the key require @ to

be pressed first before the key. When you specify the memory,

press K first. Numbers for input value are not shown as keys,

but as ordinary numbers.

be pressed first before the key. When you specify the memory,

press K first. Numbers for input value are not shown as keys,

but as ordinary numbers.

Power On and Off

Press ª to turn the calculator on, and @F to turn it off.

Clearing the Entry and Memories

Clearing methods are described in the table as follows:

Clearing

Entry

M*

1

A-F, X,Y*

2

STAT*

4

operation

(Display)

ANS*

3

STAT VAR*

5

ª

×

×

×

@c

×

@∏00*

6

@∏10*

7

RESET switch

: Clear

× : Retain

*

1

Independent memory M.

*

2

Temporary memory A-F, X and Y.

*

3

Last answer memory.

*

4

Statistical data (entered data).

*

5

¯

x

x

, sx,

σx, n, Σx, Σx

2

, ¯y, sy,

σy, Σy, Σy

2

,

Σxy, r, a, b, c.

*

6

All variables are cleared. See ‘About the Memory clear key’ for

details.

details.

*

7

This key combination functions the same as the RESET switch.

See ‘About the Memory clear key’ for details.

See ‘About the Memory clear key’ for details.

[About the Memory clear key]

Press @∏ to display the menu.

Press @∏ to display the menu.

• To clear all variables (M, A-F, X, Y, ANS, STAT VAR), press

00 or 0®.

• To RESET the calculator, press 10 or 1®.

The RESET operation will erase all data stored in memory, and

restore the calculator's default setting.

restore the calculator's default setting.

Entering and Correcting the Equation

[Cursor keys]

• Press < or > to move the cursor. You can also return to

• Press < or > to move the cursor. You can also return to

the equation after getting an answer by pressing > (<).

See the next section for using the [ and ] keys.

See the next section for using the [ and ] keys.

• In the SET UP menu and other locations, use the < or >

key to move the flashing cursor, then press ® (= key).

If you need to scroll up/down the view, use the [ or ]

key.

If you need to scroll up/down the view, use the [ or ]

key.

[Insert mode and Overwrite mode in the Equation display]

• This calculator has two editing modes: insert mode (default), and

• This calculator has two editing modes: insert mode (default), and

overwrite mode. Pressing @‘ switches between the two

modes. A triangular cursor indicates that an entry will be inserted

at the cursor, while the rectangular cursor indicates to overwrite

preexisting data as you make entries.

modes. A triangular cursor indicates that an entry will be inserted

at the cursor, while the rectangular cursor indicates to overwrite

preexisting data as you make entries.

• To insert a number in the insert mode, move the cursor to the

place immediately after where you wish to insert, then make a

desired entry. In the overwrite mode, data under the cursor will

be overwritten by the number you enter.

desired entry. In the overwrite mode, data under the cursor will

be overwritten by the number you enter.

• This mode setting will be retained until the next RESET operation

is executed.

MEM RESET

0 1

[Deletion key]

• To delete a number/function, move the cursor to the number/func-

• To delete a number/function, move the cursor to the number/func-

tion you wish to delete, then press d. If the cursor is located at

the right end of an equation, the d key will function as a back

space key.

the right end of an equation, the d key will function as a back

space key.

Multi-line Playback function

This calculator is equipped with a function to recall previous equa-

tions in the normal mode. Equations also include calculation ending

instructions such as “=” and a maximum of 142 characters can be

stored in memory. When the memory is full, stored equations are

deleted in the order of the oldest first. Pressing [ will display

the previous equation and the answer. Further pressing [ will

display preceding equations (after returning to the previous equa-

tion, press ] to view equations in order). In addition, @[

can be used to jump to the oldest equation.

• To edit an equation after recalling it, press > (<).

• To edit the displayed equation, press > (<) immediately

tions in the normal mode. Equations also include calculation ending

instructions such as “=” and a maximum of 142 characters can be

stored in memory. When the memory is full, stored equations are

deleted in the order of the oldest first. Pressing [ will display

the previous equation and the answer. Further pressing [ will

display preceding equations (after returning to the previous equa-

tion, press ] to view equations in order). In addition, @[

can be used to jump to the oldest equation.

• To edit an equation after recalling it, press > (<).

• To edit the displayed equation, press > (<) immediately

after obtaining a calculation answer.

• The multi-line memory is cleared by the following operations:

@c, @F (including the Automatic Power Off fea-

ture), mode change, memory clear (@∏), RESET, @

`, K (R) ?, constant calculation, chain calcula-

tion, angle unit conversion, coordinate conversion, N-base con-

version, numerical value storage to the temporary memories and

independent memory, and input/deletion of statistical data.

ture), mode change, memory clear (@∏), RESET, @

`, K (R) ?, constant calculation, chain calcula-

tion, angle unit conversion, coordinate conversion, N-base con-

version, numerical value storage to the temporary memories and

independent memory, and input/deletion of statistical data.

Priority Levels in Calculation

This calculator performs operations according to the following priority:

Q Fractions (1

Q Fractions (1

l

4, etc.) W Functions preceded by their argument

(x

-1

, x

2

, n!, etc.) E Y

x

,

x

¿ R Implied multiplication of a memory

value (2Y, etc.) T Functions followed by their argument (sin, cos,

etc.) Y Implied multiplication of a function (2sin30, etc.) U

etc.) Y Implied multiplication of a function (2sin30, etc.) U

n

C

r

,

n

P

r

I

×, ÷ O +, – P AND { OR, XOR, XNOR } =, M+, M–, ⇒M,

|DEG, |RAD, |GRAD, DATA, CD,

→rθ, →xy and other calcula-

tion ending instructions

• If parentheses are used, parenthesized calculations have prec-

• If parentheses are used, parenthesized calculations have prec-

edence over any other calculations.

INITIAL SET UP

Mode Selection

Normal mode (NORMAL): m0

Used to perform arithmetic operations and function calculations.

Used to perform arithmetic operations and function calculations.

Statistics mode (STAT): m1

Used to perform statistical calculations.

Used to perform statistical calculations.

When executing mode selection, temporary memories, statistical

variables, statistical data and last answer memory will be cleared

even when reselecting the same mode.

variables, statistical data and last answer memory will be cleared

even when reselecting the same mode.

SET UP menu

Press ” to display the SET UP menu.

• A menu item can be selected by:

• moving the flashing cursor by using ><, then press

® (= key), or

• pressing the number key corresponding to the menu item number.

• If

or

is displayed on the screen, press [ or ] to

view the previous/next menu screen.

• Press ª to exit the SET UP menu.

[Selecting the Display Notation and Decimal Places]

The calculator has four display notation systems (Floating point,

Fixed decimal point, Scientific notation and Engineering notation)

for displaying calculation results.

• When the FIX, SCI, or ENG symbol is displayed, the number of

The calculator has four display notation systems (Floating point,

Fixed decimal point, Scientific notation and Engineering notation)

for displaying calculation results.

• When the FIX, SCI, or ENG symbol is displayed, the number of

decimal places (TAB) can be set to any value between 0 and 9.

Displayed values will be reduced to the corresponding number of

digits.

Displayed values will be reduced to the corresponding number of

digits.

• If a floating point number does not fit in the specified range, the

calculator will display the result using the scientific notation (ex-

ponential notation) system. See ‘Setting the Floating Point Num-

bers System in Scientific Notation’ for details.

ponential notation) system. See ‘Setting the Floating Point Num-

bers System in Scientific Notation’ for details.

• Press ”, followed by 0, to display the following sub-

menu:

[Setting the Floating Point Numbers System in Scientific Notation]

The calculator has two settings for displaying a floating point number:

NORM1 (default setting) and NORM2. In each display setting, a

number is automatically displayed in scientific notation outside a

preset range:

• NORM1: 0.000000001

The calculator has two settings for displaying a floating point number:

NORM1 (default setting) and NORM2. In each display setting, a

number is automatically displayed in scientific notation outside a

preset range:

• NORM1: 0.000000001

≤

x

≤ 9999999999

• NORM2: 0.01

≤

x

≤ 9999999999

100000÷3=

[Floating point (NORM1)]

[Floating point (NORM1)]

ª100000/3=

33’333.33333

→[Fixed decimal point]

”00

33’333.33333

[TAB set to 2]

”1 2

33’333.33

→[SCIentific notation]

”01

3.33

×10

04

→[ENGineering notation]

”02

33.33

×10

03

→[Floating point (NORM1)] ”03

33’333.33333

3÷1000=

[Floating point (NORM1)]

[Floating point (NORM1)]

ª3/1000=

0.003

→[Floating point (NORM2)] ”04

3.

×10

–03

→[Floating point (NORM1)] ”03

0.003

FSE TAB

0

FIX SCI ENG

0 1 2

NORM1 NORM2

3 4

→

]

Determination of the Angular Unit

In this calculator, the following three angular units (degrees,

radians, and grads) can be specified.

radians, and grads) can be specified.

SCIENTIFIC CALCULATIONS

• Press m0 to select the normal mode.

• In each example, press ª to clear the display. And if the

• In each example, press ª to clear the display. And if the

FIX, SCI, or ENG indicator is displayed, clear the indicator by

selecting ‘NORM1’ from the SET UP menu.

selecting ‘NORM1’ from the SET UP menu.

Arithmetic Operations

• The closing parenthesis ) just before = or ; may

be omitted.

Constant Calculations

• In constant calculations, the addend becomes a constant. Sub-

traction and division are performed in the same manner. For

multiplication, the multiplicand becomes a constant.

multiplication, the multiplicand becomes a constant.

• When performing calculations using constants, constants will

be displayed as K.

Functions

• Refer to the calculation examples of each function.

• Before starting calculations, specify the angular unit.

• Before starting calculations, specify the angular unit.

Random Function

The Random function has four settings for use in the normal or

statistics mode. (This function cannot be selected while using the

N-Base function.) Press ª to exit.

• The generated pseudo-random number series is stored in

statistics mode. (This function cannot be selected while using the

N-Base function.) Press ª to exit.

• The generated pseudo-random number series is stored in

memory Y. Each random number is based on a number series.

[Random Numbers]

A pseudo-random number, with three significant digits from 0 up to

0.999, can be generated by pressing @`0®. To

generate the next random number, press ®.

A pseudo-random number, with three significant digits from 0 up to

0.999, can be generated by pressing @`0®. To

generate the next random number, press ®.

[Random Dice]

To simulate a die-rolling, a random integer between 1 and 6 can

be generated by pressing @`1®. To generate

the next random dice number, press ®.

To simulate a die-rolling, a random integer between 1 and 6 can

be generated by pressing @`1®. To generate

the next random dice number, press ®.

[Random Coin]

To simulate a coin flip, 0 (head) or 1 (tail) can be randomly

generated by pressing @`2®. To generate the

next random coin number, press ®.

To simulate a coin flip, 0 (head) or 1 (tail) can be randomly

generated by pressing @`2®. To generate the

next random coin number, press ®.

[Random Integer]

An integer between 0 and 99 can be generated randomly by

pressing @`3®. To generate the next random

integer number, press ®.

An integer between 0 and 99 can be generated randomly by

pressing @`3®. To generate the next random

integer number, press ®.

Angular Unit Conversions

Each time @g are pressed, the angular unit changes in

sequence.

sequence.

Memory Calculations

This calculator has 8 temporary memories (A-F, X and Y), one

independent memory (M) and one last answer memory (ANS).

The independent memory and temporary memories are only avail-

able in the normal mode.

independent memory (M) and one last answer memory (ANS).

The independent memory and temporary memories are only avail-

able in the normal mode.

[Temporary memories (A-F, X and Y)]

Press O and a corresponding variable key to store a value in

memory.

Press R and a corresponding variable key to recall a value

from the memory.

To place a variable in an equation, press K, followed by a

desired variable key.

Press O and a corresponding variable key to store a value in

memory.

Press R and a corresponding variable key to recall a value

from the memory.

To place a variable in an equation, press K, followed by a

desired 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 ªOM to clear the 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 ªOM 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.

The calculation result obtained by pressing = or any other

calculation ending instruction is automatically stored in the last

answer memory.

Note:

• Calculation results from the functions indicated below are auto-

• Calculation results from the functions indicated below are auto-

matically stored in memories X or Y. For this reason, when

using these functions, be careful with the use of memories X

and Y.

• Random function ................. Y memory

•

using these functions, be careful with the use of memories X

and Y.

• Random function ................. Y memory

•

→rθ, →xy ................................ X memory (r or x),

Y memory (

θ or y)

• Temporary memories and last answer memory are cleared

even when the same mode is reselected.

• Use of R or K will recall the value stored in memory

using up to 14 digits.

Chain Calculations

• This calculator allows the previous calculation result to be used

in the following calculation.

DEG (

°)

GRAD (g)

RAD

Press G

(rad)

• The previous calculation result will not be recalled after enter-

ing multiple instructions.

• In the case of utilizing postfix functions (¿ , sin, etc.), you can

perform a chain calculation even when the previous calculation

result is cleared by the use of the ª key.

result is cleared by the use of the ª key.

Fraction Calculations

This calculator performs arithmetic operations and memory cal-

culations using fractions, and conversion between a decimal

number and a fraction.

• If the number of digits to be displayed is greater than 10, the

culations using fractions, and conversion between a decimal

number and a fraction.

• If the number of digits to be displayed is greater than 10, the

number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-Base)

Operations (N-Base)

This calculator can perform conversions between numbers ex-

pressed in binary, pental, octal, decimal and hexadecimal sys-

tems. It can also perform the four basic arithmetic operations,

calculations with parentheses and memory calculations using bi-

nary, pental, octal, decimal, and hexadecimal numbers. In addi-

tion, the calculator can carry out the logical operations AND, OR,

NOT, NEG, XOR and XNOR on binary, pental, octal and hexa-

decimal numbers.

Conversion to each system is performed by the following keys:

pressed in binary, pental, octal, decimal and hexadecimal sys-

tems. It can also perform the four basic arithmetic operations,

calculations with parentheses and memory calculations using bi-

nary, pental, octal, decimal, and hexadecimal numbers. In addi-

tion, the calculator can carry out the logical operations AND, OR,

NOT, NEG, XOR and XNOR on binary, pental, octal and hexa-

decimal numbers.

Conversion to each system is performed by the following keys:

@ê: Converts to the binary system. “ ” appears.

@û: Converts to the pental system. “ ” appears.

@î: Converts to the octal system. “ ” appears.

@ì: Converts to the hexadecimal system. “ ” appears.

@í: Converts to the decimal system. “ ”, “ ”, “ ”, and

“ ” disappear from the display.

Conversion is performed on the displayed value when these keys

are pressed.

are pressed.

Note: In this calculator, the hexadecimal numbers A – F are

entered by pressing ™

A

, ⁄

B

, L

C

, ÷

D

, l

E

, and

I

F

, and displayed as follows:

A

→ ï, B → ∫, C → ó, D → ò, E → ô, F → ö

In the binary, pental, octal, and hexadecimal systems, fractional

parts cannot be entered. When a decimal number having a frac-

tional part is converted into a binary, pental, octal, or hexadeci-

mal 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 num-

bers are displayed as a complement.

parts cannot be entered. When a decimal number having a frac-

tional part is converted into a binary, pental, octal, or hexadeci-

mal 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 num-

bers are displayed as a complement.

Time, Decimal and Sexagesimal Calculations

Conversion between decimal and sexagesimal numbers can be

performed. In addition, the four basic arithmetic operations and

memory calculations can be carried out using the sexagesimal

system.

Notation for sexagesimal is as follows:

performed. In addition, the four basic arithmetic operations and

memory calculations can be carried out using the sexagesimal

system.

Notation for sexagesimal is as follows:

degree

second

minute

Coordinate Conversions

• Before performing a calculation, select the angular unit.

• The calculation result is automatically stored in memories X

and Y.

Value of r or x: X memory

Value of

Value of r or x: X memory

Value of

θ or y: Y memory

Modify Function

In this calculator, calculation results are internally obtained in

scientific notation with up to 14 digits for 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, the internal value is con-

verted to match that of the display, so that the displayed value

can be used without change in subsequent operations.

scientific notation with up to 14 digits for 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, the internal value is con-

verted to match that of the display, so that the displayed value

can be used without change in subsequent operations.

STATISTICAL CALCULATIONS

Statistical calculations are performed in the statistics mode. Press

m1 to select the statistics mode. This calculator performs

the seven statistical calculations indicated below. After selecting

the statistics mode, select the desired sub-mode by pressing the

number key corresponding to your choice.

When changing to the statistical sub-mode, press the correspond-

ing number key after performing the operation to select the statis-

tics mode (press m1).

m1 to select the statistics mode. This calculator performs

the seven statistical calculations indicated below. After selecting

the statistics mode, select the desired sub-mode by pressing the

number key corresponding to your choice.

When changing to the statistical sub-mode, press the correspond-

ing number key after performing the operation to select the statis-

tics mode (press m1).

↔

P (x,y )

X

Y

0

y

x

P (r,

θ )

X

Y

0

r

θ

Rectangular coord.

Polar coord.

0 (SD)

: Single-variable statistics

1 (LINE)

: Linear regression calculation

2 (QUAD) : Quadratic regression calculation

3 (EXP)

: Exponential regression calculation

4 (LOG)

: Logarithmic regression calculation

5 (PWR)

: Power regression calculation

6 (INV)

: Inverse regression calculation

The following statistics can be obtained for each statistical calcula-

tion (refer to the table below):

tion (refer to the table below):

Single-variable statistical calculation

Statistics of Q

Linear regression calculation

Statistics of Q and W and, in addition, estimate of y for a given x

(estimate y´) and estimate of x for a given y (estimate x´)

(estimate y´) and estimate of x for a given y (estimate x´)

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Power regression, and Inverse regression calculation

Statistics of Q and W. In addition, estimate of y for a given x and

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.)

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.)

Quadratic regression calculation

Statistics of Q and W and coefficients a, b, c in the quadratic

regression formula (y = a + bx + cx

regression formula (y = a + bx + cx

2

). (For quadratic regression

calculations, no correlation coefficient (r) can be obtained.) When

there are two x´ values, press @≠.

there are two x´ values, press @≠.

When performing calculations using a, b and c, only one numeric

value can be held.

value can be held.

¯x

Mean of samples (x data)

sx

Sample standard deviation (x data)

Q

σx

Population standard deviation (x data)

n

Number of samples

Σx

Sum of samples (x data)

Σx

2

Sum of squares of samples (x data)

¯y

Mean of samples (y data)

sy

Sample standard deviation (y data)

σy

Population standard deviation (y data)

Σy

Sum of samples (y data)

W

Σy

2

Sum of squares of samples (y data)

Σxy

Sum of products of samples (x, y)

r

Correlation coefficient

a

Coefficient of regression equation

b

Coefficient of regression equation

c

Coefficient of quadratic regression equation

• Use K and R to perform a STAT variable calculation.

Data Entry and Correction

Entered data are kept in memory until @c are pressed or

mode selection. Before entering new data, clear the memory con-

tents.

mode selection. Before entering new data, clear the memory con-

tents.

[Data Entry]

Single-variable data

Single-variable data

Data k

Data & frequency k (To enter multiples of the same

data)

Data & frequency k (To enter multiples of the same

data)

Two-variable data

Data x & Data y k

Data x & Data y & frequency k (To enter multiples

of the same data x and y.)

Data x & Data y & frequency k (To enter multiples

of the same data x and y.)

• Up to 100 data items can be entered. With the single-variable

data, a data item without frequency assignment is counted as

one data item, while an item assigned with frequency is stored as

a set of two data items. With the two-variable data, a set of data

items without frequency assignment is counted as two data items,

while a set of items assigned with frequency is stored as a set of

three data items.

one data item, while an item assigned with frequency is stored as

a set of two data items. With the two-variable data, a set of data

items without frequency assignment is counted as two data items,

while a set of items assigned with frequency is stored as a set of

three data items.

[Data Correction]

Correction prior to pressing k immediately after a data entry:

Correction prior to pressing k immediately after a data entry:

Delete incorrect data with ª, then enter the correct data.

Correction after pressing k:

Use [] to display the data previously entered.

Press ] to display data items in ascending (oldest first)

order. To reverse the display order to descending (latest first),

press the [ key.

Each item is displayed with ‘Xn=’, ‘Yn=’, or ‘Nn=’ (n is the sequen-

tial number of the data set).

Display the data item to modify, input the correct value, then

press k. Using &, you can correct the values of the data

set all at once.

Press ] to display data items in ascending (oldest first)

order. To reverse the display order to descending (latest first),

press the [ key.

Each item is displayed with ‘Xn=’, ‘Yn=’, or ‘Nn=’ (n is the sequen-

tial number of the data set).

Display the data item to modify, input the correct value, then

press k. Using &, you can correct the values of the data

set all at once.

• When

or

appears, more data items can be browsed by

pressing [ or ].

• To delete a data set, display an item of the data set to delete,

then press @J. The data set will be deleted.

• To add a new data set, press ª and input the values, then

press k.

Statistical Calculation Formulas

Type

Regression formula

Linear

y

= a + bx

Exponential

y

= a • e

bx

Logarithmic

y

= a + b • ln x

Power

y

= a • x

b

Inverse

y

= a + b —

Quadratic

y

= a + bx + cx

2

In the statistical calculation formulas, an error will occur when:

• The absolute value of the intermediate result or calculation result

• The absolute value of the intermediate result or calculation result

is equal to or greater than 1

× 10

100

.

• 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.

• An attempt is made to take the square root of a negative number.

• No solution exists in the quadratic regression calculation.

ERROR 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 < (or >) automatically moves the cursor

back to the place in the equation where the error occurred. Edit the

equation or press ª to clear the equation.

or if a mathematically illegal operation is attempted. When an error

occurs, pressing < (or >) automatically moves the cursor

back to the place in the equation where the error occurred. Edit the

equation or press ª to clear the equation.

Error Codes and Error Types

Syntax error (Error 1):

•

•

An attempt was made to perform an invalid operation.

Ex. 2 @{

Calculation error (Error 2):

•

•

The absolute value of an intermediate or final calculation result equals

or exceeds 10

or exceeds 10

100

.

•

An attempt was made to divide by 0 (or an intermediate calculation

resulted in zero).

resulted in zero).

•

The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):

•

•

The available number of buffers was exceeded. (There are 10 buffers*

for numeric values and 24 buffers for calculation instructions).

*5 buffers in STAT mode.

for numeric values and 24 buffers for calculation instructions).

*5 buffers in STAT mode.

•

Data items exceeded 100 in the statistics mode.

Equation too long (Error 4):

•

•

The equation exceeded its maximum input buffer (142 characters).

An equation must be shorter than 142 characters.

An equation must be shorter than 142 characters.

Calculation Ranges

• Within the ranges specified, this calculator is accurate to ±1

of the least significant 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

calculation error increases in continuous calculations due

to accumulation of each calculation error. (This is the same

for y

x

,

x

¿ , n!, e

x

,

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.

Additionally, a calculation error will accumulate and become

larger in the vicinity of inflection points and singular points

of functions.

• Calculation ranges

±10

–99

~ ±9.999999999

×10

99

and 0.

If the absolute value of an entry or a final or intermediate result of a

calculation is less than 10

calculation is less than 10

–99

, the value is considered to be 0 in

calculations and in the display.

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or

explosion. Be sure to observe the following handling rules:

• Replace both batteries at the same time.

• Do not mix new and old batteries.

• Make sure the new batteries are the correct type.

• When installing, orient each battery properly as indicated in the

explosion. Be sure to observe the following handling rules:

• Replace both batteries at the same time.

• Do not mix new and old batteries.

• Make sure the new batteries are the correct type.

• When installing, orient each battery properly as indicated in the

calculator.

• Batteries are factory-installed before shipment, and may be ex-

hausted before they reach the service life stated in the specifica-

tions.

tions.

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 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 Batteries

[EL-509W/531W/531WH] If the display has poor contrast, the

batteries require replacement.

[EL-531WG] If the display has poor contrast or nothing appears on

the display even when ª is pressed in dim lighting, it is time to

replace the batteries.

batteries require replacement.

[EL-531WG] If the display has poor contrast or nothing appears on

the display even when ª is pressed in dim lighting, it is time to

replace the batteries.

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.

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 leaking batteries, remove them and store in a safe

place.

place.

• Do not leave exhausted batteries inside the product.

1

x

x

• Do not fit partially used batteries, and be sure not to mix

batteries of different types.

• Keep batteries out of the reach of children.

• Exhausted batteries left in the calculator may leak and damage

• Exhausted batteries 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.

• Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing @ F.

2. Remove two screws. (Fig. 1)

3. Slide the battery cover slightly and lift it to remove.

4. [EL-509W/531W/531WG] Remove the used batteries by pry-

2. Remove two screws. (Fig. 1)

3. Slide the battery cover slightly and lift it to remove.

4. [EL-509W/531W/531WG] Remove the used batteries by pry-

ing them out with a ball-point pen or other similar pointed

device. (Fig. 2)

[EL-531WH] Remove the used battery.

device. (Fig. 2)

[EL-531WH] Remove the used battery.

5. [EL-509W/531W/531WG] Install two new batteries. Make sure

the “+” side is facing up.

[EL-531WH] Install one new battery. First insert the “ – ” side

toward the spring. (Fig. 3)

[EL-531WH] 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).

• Make sure that the display appears as shown below. If the

7. Press the RESET switch (on the back).

• Make sure that the display appears as shown below. If the

display does not appear as shown, remove the batteries rein-

stall them and check the display once again.

stall them and check the display once again.

(Fig. 1)

(Fig. 2)

(Fig. 3)

Automatic Power Off Function

This calculator will turn itself off to save battery power if no key is

pressed for approximately 10 minutes.

pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations:

Scientific calculations, statistical calcula-

tions, etc.

tions, etc.

Internal calculations:

Mantissas of up to 14 digits

Pending operations:

24 calculations 10 numeric values

(5 numeric values in STAT mode)

(5 numeric values in STAT mode)

Power source:

[EL-509W/531W]

3V ¶ (DC):

Alkaline batteries (LR44 or equivalent)

3V ¶ (DC):

Alkaline batteries (LR44 or equivalent)

× 2

[EL-531WG]

Built-in solar cells

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44 or equivalent)

Built-in solar cells

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44 or equivalent)

× 2)

[EL-531WH]

1.5V ¶ (DC):

Heavy duty manganese battery

(size AA or R6)

1.5V ¶ (DC):

Heavy duty manganese battery

(size AA or R6)

× 1

Power consumption:

[EL-509W/531W]

0.0002 W

[EL-531WH]

0.0001 W

0.0002 W

[EL-531WH]

0.0001 W

Operating time:

[EL-509W/531W]

Approx. 5000 hours

[EL-531WH]

Approx. 17000 hours

when continuously displaying 55555. at

25°C (77°F).

Varies according to use and other factors.

Approx. 5000 hours

[EL-531WH]

Approx. 17000 hours

when continuously displaying 55555. at

25°C (77°F).

Varies according to use and other factors.

Operating temperature: 0°C – 40°C (32°F – 104°F)

External dimensions:

External dimensions:

[EL-509W/531W/531WG]

79.6 mm (W)

79.6 mm (W)

× 154.5 mm (D) × 13.2 mm (H)

3-1/8” (W)

× 6-3/32” (D) × 17/32” (H)

[EL-531WH]

79.6 mm (W)

79.6 mm (W)

× 154.5 mm (D) × 18.2 mm (H)

3-1/8” (W)

× 6-3/32” (D) × 23/32” (H)

Weight:

[EL-509W/531W]

Approx. 95 g (0.21 lb) (Including batteries)

[EL-531WG]

Approx. 97 g (0.22 lb) (Including batteries)

[EL-531WH]

Approx. 110 g (0.25 lb) (Including battery)

Approx. 95 g (0.21 lb) (Including batteries)

[EL-531WG]

Approx. 97 g (0.22 lb) (Including batteries)

[EL-531WH]

Approx. 110 g (0.25 lb) (Including battery)

Accessories:

[EL-509W/531W/531WG]

Batteries

Batteries

× 2 (installed), operation manual,

quick reference card and hard case

[EL-531WH]

Battery

[EL-531WH]

Battery

× 1 (installed), operation manual,

quick reference card and hard case

FOR MORE INFORMATION ABOUT

SCIENTIFIC CALCULATOR

SCIENTIFIC CALCULATOR

Visit our Web site.

http://sharp-world.com/calculator/

http://sharp-world.com/calculator/

ENGLISH