Sharp Scientific Calculator EL-520V User Manual

El-520v

INTRODUCTION

About operation examples, please refer to the attached sheet.
Refer to the number on the right of each title for use.
After reading this manual, store it in a convenient location for future
reference.

Operational Notes

To ensure trouble-free operation, please observe the following
points:
1. Do not carry the calculator in the back pocket of slacks or

trousers.

2. Do not subject the calculator to extreme temperatures.
3. Do not drop it or apply excessive force.
4. Clean only with a soft, dry cloth.
5. Do not use or store the calculator where fluids can splash onto it.

♦

Press the RESET switch only in the following cases:
• When using for the first time
• After replacing the batteries
• To clear all memory contents
• When an abnormal condition occurs and all keys are inopera-

tive.

If service should be required on this calculator, use only a SHARP
servicing dealer, SHARP approved service facility, or SHARP re-
pair service where available.

Hard Case

DISPLAY

Equation
Display

Symbol

Mantissa

Exponent

(During actual use not all symbols are displayed at the same time.)
If the value of mantissa does not fit within the range ±0.000000001
– ±9999999999, the display changes to scientific notation. The
display mode can be changed according to the purpose of the
calculation.

: Appears when the entire equation cannot be displayed.

Press

to see the remaining (hidden) section.

: Indicates the mode of expression of results in the com-

plex calculation mode.

2ndF

: Appears when

is pressed, indicating that the func-

tions shown in orange are enabled.

HYP

: Indicates that

has been pressed and the hyperbolic

functions are enabled. If

are pressed, the

symbols “2ndF HYP” appear, indicating that inverse hy-
perbolic functions are enabled.

ALPHA: Indicates that

(

) has been

pressed, and entry (recall) of memory contents and recall
of statistics can be performed.

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

changes each time

are pressed.

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

is pressed.

STAT

: Appears when statistics mode is selected.

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

pendent memory.

: Appears when the calculator shows the angle as a result

in the complex calculation mode.

: Indicates an imaginary number is being displayed in the

complex calculation mode.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

To specify

To specify E (HEX) : E
To specify ln

To specify X

@KX

Functions that are printed in orange above the key require

be pressed first before the key. Numbers are not shown as keys,
but as ordinary numbers.

Power On and Off

Press

to turn the calculator on, and

@ F

to turn it off.

Clearing Methods

There are three clearing methods as follows:

Clearing

Entry

A-D, X,Y*

operation

(Display)

STAT, ANS

RESET

: Clear

: Retain

Independent memory M.

Temporary memories A-D, X and Y, statistical data, and last an-
swer memory.

Editing the Equation

• Press

to move the cursor. You can also return to

the equation after getting an answer by pressing

(

See below for Multi-line playback function.

• If you need to delete a number, move the cursor to the number

you wish to delete then press

The number under the cursor will be deleted.

• If you need to insert a number, move the cursor to the place

immediately after where you wish to insert the number then enter
the number.

Multi-line Playback function

(1)

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

tions (after returning to the previous equation, press

]

to view

equations in order). In addition,

can be used to jump to

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

(including the Automatic Power Off fea-

ture), mode change, RESET,

, constant

calculation, differential/integral calculation, angle conversion/
change, N-base conversion, coordinate conversion, 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 pri-
ority:

∠

Functions preceded by their argument (x

-1

, x

, n!, etc.)

Implied multiplication of a memory value (2Y, etc.)

Functions followed by their argument (sin, cos, etc.)

Implied

multiplication of a function (2sin30, etc.)

, ч

+, –

AND

OR, XOR, XNOR

=, M+, M–,

⇒

DEG,

RAD,

GRAD, DATA, CD,

→

xy and other calculation ending in-

struction
• If parentheses are used, parenthesized calculations have prec-

edence over any other calculations.

SCIENTIFIC CALCULATIONS

• Press

to select the normal mode.

• In each example, press

to clear the display. And if the FIX,

SCI, or ENG indicator is displayed, clear the indicator by press-
ing

Arithmetic Operations

(2)

• The closing parenthesis

)

just before

;

may be

omitted.

Constant Calculations

(3)

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

Subtraction and division are performed in the same manner. For
multiplication, the multiplicand becomes a constant.

• When performing calculations using constants, constants will be

displayed as K.

Functions

(4)

• Refer to operation examples of each function.
• Before starting calculation, specify the angular unit.
• The results of inverse trigonometric functions are displayed within

the following range:

1
3

x x

x
x

f’(x)

=————————

(

+ ––)–

(

– ––)







 

 

 

N=2

≤

–

S=—

{

(

)+4{

(

)+······+

(

+(N–1)

)}

+2{

(

)+······+

(

+(N–2)

)}+

(

)}

Differential calculation:

[When performing integral calculations]
Integral calculations, depending on the
integrands and subintervals included, require
longer calculation time. During calculation,
“Calculating!” will be displayed. To cancel cal-
culation, press

. In addition, please note

that there will be greater integral errors when
there are large fluctuations in the integral val-
ues during minute shifting of the integral range
and for periodic functions, etc., where positive
and negative integral values exist depending
on the interval.
For the former case, divide integral intervals
as small as possible. For the latter case,
separate the positive and negative values.
Following these tips will allow results of cal-
culations with greater accuracy and will also
shorten the calculation time.

Random Numbers

A pseudo-random number with three significant digits can be gen-
erated by pressing

@`=

. To generate the next random

number, press

. You can perform this function in the normal

and statistics modes. (You cannot perform this function while you
are using the N-Base function.)
• Random numbers use memory Y. Each random number is gen-

erated on the basis of the value stored in memory Y (pseudo-
random number series).

Angular Unit Conversions

(6)

Each time

are pressed, the angular unit changes in

sequence.

Memory Calculations

(7)

This calculator has 6 temporary memories (A-D, X and Y), one
independent memory (M) and one last answer memory (ANS).

COMPLEX NUMBER CALCULATIONS

(14)

To carry out addition, subtraction, multiplication, and division using com-
plex numbers, press

@m1

to select the complex number

mode.
There are two modes of expression of the results of complex number
calculations.

Rectangular coordinate mode. (

appears on the display.)

Polar coordinate mode. (

appears on the display.)

Complex number entry

Rectangular coordinates
x-coordinate

y-coordinate

x-coordinate

y-coordinate

Polar coordinates
r

r: absolute value

: argument

• Upon changing to another mode, the imaginary portion of any

complex number stored in the independent memory (M) will be
cleared.

• A complex number expressed in rectangular coordinates with

the y-value equal to zero, or expressed in polar coordinates with
the angle equal to zero, is treated as a real number.

STATISTICAL CALCULATIONS

Statistical calculations are performed in the statistics mode. Press

@m2

to select the statistics mode. This calculator per-

forms the seven statistical calculations indicated below. After se-
lecting the statistics mode, select the desired sub-mode by press-
ing 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

@m2

(STAT 0) : Single-variable statistics

(STAT 1) : Linear regression calculation

(STAT 2) : Quadratic regression calculation

(STAT 3) : Exponential regression calculation

(STAT 4) : Logarithmic regression calculation

(STAT 5) : Power regression calculation

(STAT 6) : Inverse regression calculation

Entered data are kept in memory until

are pressed. Before entering new data, clear the memory

contents.

[Data Entry]
Single-variable data

Data

frequency

(To enter multiples of the same

data)

Two-variable data

Data

frequency

(To enter multiples

of the same data

and

[Data Correction]
Correction prior to pressing

Delete incorrect data with

Correction after pressing

Press

to confirm the latest entry and press

delete it.

Statistical Calculation Formulas

(18)

Refer also to the operation examples sheet.

In the statistical calculation formulas, an error will occur when:
• the absolute value of the intermediate result or calculation result

is equal to or greater than 1

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.

ENGLISH

EL-520V

SCIENTIFIC CALCULATOR

OPERATION MANUAL

MODEL

DEG (

)

GRAD (g)

RAD

Press

(Radians)

Modify Function

(13)

In this calculator, all calculation results are internally obtained in
scientific notation with up to 12 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.

Determination of the Angular Unit

In this calculator, the following three angular units can be speci-
fied.

INITIAL SETUP

Mode Selection

Normal mode (NORMAL):

@m0

Used to perform arithmetic operations and function calculations.

Complex number mode (CPLX):

@m1

Used to perform arithmetic operations with complex numbers.

Statistic mode (STAT):

@m2

Used to perform statistical calculations.

When executing mode selection, temporary memories, statistical
data and last answer memory will be cleared even when reselecting
the same mode.

Differential/Integral Functions

(5)

Differential and integral calculations are only available in the normal
mode. For calculation conditions such as the x value in differential
calculation or the initial point in integral calculation, only numerical
values can be entered and equations such as 2

cannot be speci-

fied. It is possible to reuse the same equation over and over again
and to recalculate by only changing the conditions without re-enter-
ing the equation.

• When performing a calculation, the value stored in the X memory

will be cleared.

• When performing a differential calculation, enter formula first

and then enter

value in differential calculation and minute

interval (d

). If a numerical value is not specified for minute

interval,

≠

0 will be

–4

and

=0 will be 10

–4

from the value of

the numeric derivative.

• When performing a integral calculation, enter formula first and

then enter a range of integral (

) and subintervals (n). If a

numerical value is not specified for subintervals, calculation will
be performed using n=100.

Since differential and integral calculations are performed based on
the following equations, correct results may not be obtained, in
certain rare cases, when performing special calculations which
contain discontinuous points.

Integral calculation (Simpson’s rule):

= sin

–1

= tan

–1

= cos

–1

DEG

–90

≤

180

RAD

– —

≤

—

≤

GRAD

–100

≤

100

≤

200

Mode

ANS

A-D, X,Y

Normal

Complex

Statistic

: Available

: Unavailable

↔

Rectangular coord.

Polar coord.

• The calculation result is automatically stored in memories X and Y.

Value of

: X memory

Value of

: Y memory

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

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

100

•

An attempt was made to divide by 0.

•

The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):
•

The available number of buffers was exceeded. (There are 8 buffers*
for numeric values and 16 buffers for calculation instructions). *4
buffers in STAT and the complex number mode.

Equation too long (Error 4):
•

The equation exceeded its maximum input buffer (142 characters).
An equation must be shorter than 142 characters.

Calculation Ranges

(19)

Refer also to the operation examples sheet.
• Within the ranges specified, this calculator is accurate to ±1 in

the least significant digit of the mantissa. When performing con-
tinuous calculations (including chain calculations), errors accu-
mulate leading to reduced accuracy.

• Calculation ranges

±10

-99

– ±9.999999999

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.

[Temporary memories (A-D, X and Y)]
A stored value can be recalled as a value or variable for the use in
equations.
• In case you store an infinite decimal in the memory, recall it as a

variable to obtain accurate answers.

Ex.)

(0.3333...is stored to Y)

0.999999999

[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.

[Last answer memory (ANS)]
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-
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 numbers .................. Y memory

•

→

xy ............................... X memory, Y memory

Temporary memories and last answer memory are cleared even
when the same mode is reselected.

Chain Calculations

(8)

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.

Fraction Calculations

(9)

This calculator performs arithmetic operations and memory calcu-
lations using a fraction, and conversion between a decimal number
and a fraction.
• In all cases, a total of up to 10 digits including integer, numera-

tor, denominator and the symbol (

) can be entered.

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

number is converted to and displayed as a decimal number.

• A decimal number, variable, or exponent cannot be used in a

fraction.

The following statistics can be obtained for each statistical calcula-
tion (refer to the table below):

Single-variable statistical calculation

(15)

Statistics of

Linear regression calculation

(16)

Statistics of

and

and, in addition, estimate of

for a given

(estimate

y´

) and estimate of

for a given

(estimate

x´

)

Exponential regression, Logarithmic regression,
Power regression, and Inverse regression calculation

Statistics of

and

. In addition, estimate of

for a given

and

estimate of

for a given

. (Since the calculator converts each

formula into a linear regression formula before actual calculation
takes place, it obtains all statistics, except coefficients

and

from converted data rather than entered data.)

Quadratic regression calculation

(17)

Statistics of

and

and coefficients

in the quadratic

regression formula (

). (For quadratic regression

calculations, no correlation coefficient (

) can be obtained.) When

there are two

x´

values, press

@≠

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

PRINTED IN CHINA / IMPRIMÉ EN CHINE

00LUP (TINSK0435EHZZ)

EL-520V (K0435E)_ENGLISH_1

Time, Decimal and Sexagesimal Calculations

(11)

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.

Coordinate Conversions

(12)

• Before performing a calculation, select the angular unit.

P (

)

P (

)

Mean of samples (

data)

Sample standard deviation (

data)

Population standard deviation (

data)

Number of samples

Sum of samples (

data)

Sum of squares of samples (

data)

Means of samples (

data)

Sample standard deviation (

data)

Population standard deviation (

data)

Sum of samples (

data)

Sum of squares of samples (

data)

Sum of products of samples (

)

Correlation coefficient

Coefficient of regression equation

Coefficient of quadratic regression equation

Type

Regression formula

Linear

Exponential

•

Logarithmic

• ln

Power

•

Inverse

—

Quadratic

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

Selecting the Display Notation and Decimal Places

The calculator has four display notation systems for displaying
calculation results. When FIX, SCI, or ENG symbol is displayed,
the number of decimal places can be set to any value between 0
and 9. Displayed values will be reduced to the corresponding
number of digits.

100000÷3=
[Floating point]

100000

33333.33333

→

[FIXed decimal point]

33333.33333

[TAB set to 2]

33333.33

→

[SCIentific notation]

3.33

→

[ENGineering notation]

33.33

→

[Floating point]

33333.33333

• If the value for floating point system does not fit in the following

range, the calculator will display the result using scientific notation
system:
0.000000001

≤

9999999999

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.

When to Replace the Batteries

If the display has poor contrast or nothing appears on the display
even when

is pressed in dim lighting, it is time to replace the

batteries.

Caution

• Keep batteries out of the reach of children.
• Exhausted batteries left in the calculator may leak and damage

the calculator.

• Explosion risk may be caused by incorrect handling.
• Batteries must be replaced only with others of the same type.
• Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing

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 with a ball-point pen

or other similar pointed device. (Fig. 2)

5. Install two new batteries. Make sure the “+” side 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 not appear as shown, remove the batteries reinstall
them and check the 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.

SPECIFICATIONS

Calculations:

Scientific calculations, complex number
calculations, statistical calculations, etc.

Internal calculations:

Mantissas of up to 12 digits

Pending operations:

16 calculations 8 numeric values
(4 numeric values in STAT and complex
number mode)

Power source:

Built-in solar cells

(DC):

Backup batteries (Alkaline batteries (LR44)

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

External dimensions: 78.6 mm (W)

152 mm (D)

10.5 mm (H)

3-3/32” (W)

5-31/32” (D)

13/32” (H)

Weight: Approx. 78 g ( 0.172 lb)

(Including batteries)

Accessories:

Batteries

2 (installed), operation

manual, operation examples sheet, quick
reference card and hard case

FOR MORE INFORMATION ABOUT THIS
CALCULATOR

Visit our Web site.
http://sharp-world.com/calculator/

Binary, Octal, Decimal, and Hexadecimal Operations
(N-Base)

(10)

This calculator can perform conversions between numbers ex-
pressed in binary, octal, decimal and hexadecimal systems. It can
also perform the four basic arithmetic operations, calculations with
parentheses and memory calculations using binary, octal, decimal,
and hexadecimal numbers. In addition, the calculator can carry out
the logical operations AND, OR, NOT, NEG, XOR and XNOR on
binary, octal and hexadecimal numbers.
Conversion to each system is performed by the following keys:

@ê

: Converts to the binary 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.

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

by pressing

, and

and displayed as follows:

→

, B

→

∫

, C

→

, D

→

, E

→

, F

→

In the binary, octal, and hexadecimal systems, fractional parts can-
not be entered. When a decimal number having a fractional part is
converted into a binary, octal, or hexadecimal number, the fractional
part will be truncated. Likewise, when the result of a binary, octal, or
hexadecimal calculation includes a fractional part, the fractional part
will be truncated. In the binary, octal, and hexadecimal systems,
negative numbers are displayed as a complement.