# Sharp EL-509WM, EL-509WS Owner Manual

0 1 2

0 1 2

0 1 2

EL-509WM_ENGLISH_1

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model EL-509WM/

509WS.

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.

509WS.

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.

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.

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.

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 upgrading

• 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 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.

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.

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.

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 inoperative.

• After replacing the batteries

• To clear all memory contents

• When an abnormal condition occurs and all keys are inoperative.

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

dealer, SHARP approved service facility, or SHARP repair service where

available.

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

• 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.

/

: 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 playback,

and statistics data are displayed. Press

and statistics data are displayed. Press

[/] to scroll

up/down the view.

2ndF

: Appears when

@ is pressed, indicating that the functions

shown in orange are enabled.

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

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 hyperbolic functions

are enabled.

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.

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 independent

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.

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, sx,

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.

*

7

This key combination functions the same as the RESET switch. See

‘About the Memory clear key’ for details.

‘About the Memory clear key’ for details.

[About the Memory clear key]

Press

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.

the calculator's default setting.

Entering and Correcting the Equation

[Cursor keys]

• Press

• 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.

• 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.

[Insert mode and Overwrite mode in the Equation display]

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

• 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.

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.

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.

[Deletion key]

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

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

MEM RESET

0 1

Multi-line Playback function

This calculator is equipped with a function to recall previous equations 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

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 equation, 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 feature),

mode change, memory clear (

mode change, memory clear (

@∏), RESET, @`, K

(

R ) ?, constant calculation, chain calculation, angle unit

conversion, coordinate conversion, N-base conversion, numerical value

storage to the temporary memories and independent memory.

storage to the temporary memories and independent memory.

Priority Levels in Calculation

This calculator performs operations according to the following priority:

Q

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 multipli-

cation 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 calculation ending instructions

• If parentheses are used, parenthesized calculations have precedence

• If parentheses are used, parenthesized calculations have precedence

over any other calculations.

INITIAL SET UP

Mode Selection

Normal mode (NORMAL):

m0

Used to perform arithmetic operations and function calculations.

Statistics mode (STAT):

m1

Used to perform statistical calculations.

Equation mode (EQN):

m2

Used to perform equation calculations.

When executing mode selection, temporary memories, statistical variables,

statistical data and last answer memory will be cleared even when reselecting

the same mode.

statistical data and last answer memory will be cleared even when reselecting

the same mode.

SET UP menu (FIX, SCI, ENG, NORM1, NORM2)

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.

• If

The calculator has four display notation systems (Floating point, Fixed

decimal point, Scientific notation and Engineering notation) for displaying

calculation results.

• If

”0 (FIX) or ”2 (ENG) is pressed, ‘TAB(0-9)?’ will

be displayed and the number of decimal places (TAB) can be set to any

value between 0 and 9.

value between 0 and 9.

• If

”1 (SCI) is pressed, ‘SIG(0-9)?’ will be displayed and the

number of significant digits (SIG) can be set to any value between 0 and

9. Entering 0 will set a 10-digit display.

9. Entering 0 will set a 10-digit display.

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

will display the result using the scientific notation (exponential notation)

system. See ‘Setting the Floating Point Numbers System in Scientific

Notation’ for details.

system. See ‘Setting the Floating Point Numbers System in Scientific

Notation’ for details.

[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=

ª”3

[Floating point (NORM1)]

100000

/3=

33’333.33333

→[Fixed decimal point

and TAB set to 2]

”02

33’333.33

→[SCIentific notation

and SIG set to 3]

”13

3.33

×10

04

→[ENGineering notation

and TAB set to 2]

”22

33.33

×10

03

→[Floating point (NORM1)]

”3

33’333.33333

3÷1000=

[Floating point (NORM1)]

[Floating point (NORM1)]

ª3/1000=

0.003

→[Floating point (NORM2)]

”4

3.

×10

–03

→[Floating point (NORM1)]

”3

0.003

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.

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 FIX, SCI,

or ENG indicator is displayed, clear the indicator by selecting ‘NORM1’

from the SET UP menu.

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. Subtraction

and division are performed in the same manner. For multiplication, the

multiplicand becomes a constant.

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

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

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

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

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.

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 available in the normal mode.

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

memory and temporary memories are only available in the normal mode.

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

Press

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

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

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

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 automatically

• Calculation results from the functions indicated below are automatically

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

•

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.

• The previous calculation result will not be recalled after entering 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

is cleared by the use of the

ª or @c keys.

Fraction Calculations

This calculator performs arithmetic operations and memory calculations

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

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 expressed in

binary, pental, octal, decimal and hexadecimal systems. It can also perform

the four basic arithmetic operations, calculations with parentheses and

memory calculations using binary, pental, octal, decimal, and hexadecimal

numbers. In addition, 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:

binary, pental, octal, decimal and hexadecimal systems. It can also perform

the four basic arithmetic operations, calculations with parentheses and

memory calculations using binary, pental, octal, decimal, and hexadecimal

numbers. In addition, 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.

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 dis-

played 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 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.

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

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:

In addition, the four basic arithmetic operations and memory calculations

can be carried out using the sexagesimal system.

Notation for sexagesimal is as follows:

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

θ or y: Y memory

Modify Function

In this calculator, all 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 converted to match that of the display, so that the

displayed value can be used without change in subsequent operations.

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 converted 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 corresponding

number key after performing the operation to select 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 corresponding

number key after performing the operation to select the statistics mode

(press

m1).

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 calculation

(refer to the table below):

(refer to the table below):

↔

P (x,y )

X

Y

0

y

x

P (r,

θ )

X

Y

0

r

θ

Rectangular coord.

Polar coord.

Single-variable statistical calculation

Statistics of Q and value of the normal probability function

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

formula (y = a + bx + cx

2

). (For quadratic regression calculations, no

correlation coefficient (r) can be obtained.) When there are two x´ values,

press

press

@≠.

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

be held.

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 contents.

[Data Entry]

Single-variable data

Single-variable data

Data

k

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.

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

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 sequential

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.

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

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 is equal

• 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.

Normal Probability Calculations

• P(t), Q(t), and R(t) will always take positive values, even when t<0,

because these functions follow the same principle used when solving for

an area.

Values for P(t), Q(t), and R(t) are given to six decimal places.

an area.

Values for P(t), Q(t), and R(t) are given to six decimal places.

SIMULTANEOUS LINEAR EQUATIONS

Simultaneous linear equation with two unknowns (2-VLE) or with three

unknowns (3-VLE) may be solved using this function.

Q

unknowns (3-VLE) may be solved using this function.

Q

2-VLE:

m20

W

3-VLE:

m21

• If the determinant D = 0, an error occurs.

• If the absolute value of an intermediate result or calculation result is 1

• If the absolute value of an intermediate result or calculation result is 1

×

10

100

or more, an error occurs.

• Coefficients ( a

1

, etc.) can be entered using ordinary arithmetic operations.

• To clear the entered coefficients, press

@c.

• Pressing

® when the determinant D is in the display recalls the

coefficients. Each time

® is pressed, a coefficient is displayed in the

order of input, allowing the entered coefficients to be verified (by pressing

@®, coefficients are displayed in reverse order.) To correct a

particular coefficient being displayed, enter the correct value and then

press

@®, coefficients are displayed in reverse order.) To correct a

particular coefficient being displayed, enter the correct value and then

press

®.

QUADRATIC AND CUBIC EQUATION SOLVERS

Quadratic (ax

2

+ bx + c = 0) or cubic (ax

3

+ bx

2

+ cx + d = 0) equation

may be solved using this function.

Q

Q

Quadratic equation solver:

m22

W

Cubic equation solver:

m23

• Press

® after entering each coefficient.

• The result will be displayed by pressing

® after entering all

coefficients. When there are more than 2 results, the next solution will be

displayed.

displayed.

• When the result is an imaginary number, “xy” symbol will appear. The

display can be switched between imaginary and real parts by pressing

@≠.

@≠.

• The results obtained by this function may include a margin of error.

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

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

exceeds 10

100

.

•

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

zero).

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.

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

increases in continuous calculations due to accumulation of each

calculation error. (This is the same for y

x

,

x

¿ , 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 calculator.

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

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 exhausted

before they reach the service life stated in the specifications.

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

If the display has poor contrast, the batteries require replacement.

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.

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.

• Do not leave exhausted batteries inside the product.

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

• 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 the

• 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. Remove the used batteries by prying them out with a ball-point pen or

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

4. Remove the used batteries by prying them out with a ball-point pen or

other similar pointed device. (Fig. 2)

5. Install two new batteries. Make sure the “+” side is facing up.

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 display does

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 display does

not appear as shown, remove the batteries reinstall them and check the

display once again.

display once again.

(Fig. 1)

(Fig. 2)

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 calculations, 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:

3V

¶ (DC):

Alkaline batteries (LR44 or equivalent)

× 2

Power consumption:

0.0002 W

Operating time:

Approx. 5000 hours

when continuously displaying 55555. at 25°C

(77°F).

Varies according to use and other factors.

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:

79.6 mm (W)

× 154.5 mm (D) × 13.2 mm (H)

3-1/8” (W)

× 6-3/32” (D) × 17/32” (H)

Weight:

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

Accessories:

Batteries

× 2 (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/

degree

second

minute

1

x

x

PRINTED IN CHINA

04KGK (TINSE0780EH01)

EL-509WM

EL-509WS

EL-509WS

SCIENTIFIC CALCULATOR

OPERATION MANUAL

MODEL

ENGLISH

DEG (

°)

GRAD (g)

RAD

Press

G

(rad)