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.
Binary, Octal, Decimal, and Hexadecimal Operations
ENGLISH
ERROR AND CALCULATION RANGES
(N-Base)
(10)
SCIENTIFIC CALCULATOR
OPERATION MANUAL
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.
Errors
MODEL
EL-520V
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.
PRINTED IN CHINA / IMPRIMÉ EN CHINE
100000÷3=
00LUP (TINSK0435EHZZ)
[Floating point]
→[FIXed decimal point]
[TAB set to 2]
→[SCIentific notation]
→[ENGineering notation]
→[Floating point]
ª100000/3= 33333.33333
@f
@i 2
@f
@f
@f
33333.33333
33333.33
Conversion to each system is performed by the following keys:
Error Codes and Error Types
3.33×104
33.33×103
33333.33333
@ê: Converts to the binary system. “ ” appears.
@î: Converts to the octal system. “ ” appears.
@ì: Converts to the hexadecimal system. “ ” appears.
Syntax error (Error 1):
•- An attempt was made to perform an invalid operation.
Ex. 2 @{
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.
•
If the value for floating point system does not fit in the following
Calculation error (Error 2):
@í: Converts to the decimal system. “ ”, “ ”, and “
”
range, the calculator will display the result using scientific notation
system:
0.000000001 ≤ | x | ≤ 9999999999
•
The absolute value of an intermediate or final calculation result equals
disappear from the display.
or exceeds 10100
.
Conversion is performed on the displayed value when these keys
are pressed.
•
•
An attempt was made to divide by 0.
The calculation ranges were exceeded while performing calculations.
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.
Note: In this calculator, the hexadecimal numbers A – F are entered
Determination of the Angular Unit
In this calculator, the following three angular units can be speci-
fied.
Depth error (Error 3):
by pressing µ, Ñ, É, é, ç, and å,
and displayed as follows:
•
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.
DEG (°)
A → ï, B → ∫, C → ó, D → ò, E → ô, F → ö
Equation too long (Error 4):
Press G
•
The equation exceeded its maximum input buffer (142 characters).
An equation must be shorter than 142 characters.
(Radians)
RAD
GRAD (g)
5. Do not use or store the calculator where fluids can splash onto it.
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.
♦ 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.
Calculation Ranges
Refer also to the operation examples sheet.
(19)
•
Within the ranges specified, this calculator is accurate to ±1 in
SCIENTIFIC CALCULATIONS
the least significant digit of the mantissa. When performing con-
tinuous calculations (including chain calculations), errors accu-
mulate leading to reduced accuracy.
•
•
Press @ m 0 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 press-
ing @ f.
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.
Time, Decimal and Sexagesimal Calculations
(11)
•
Calculation ranges
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.
±10-99 – ±9.999999999×1099 and 0.
If the absolute value of an entry or a final or intermediate result of a
calculation is less than 10–99, the value is considered to be 0 in
calculations and in the display.
Hard Case
Arithmetic Operations
(2)
•
The closing parenthesis ) just before = or ; may be
omitted.
Coordinate Conversions
(12)
•
Before performing a calculation, select the angular unit.
Constant Calculations
(3)
Y
Y
BATTERY REPLACEMENT
P (x,y)
P (r,θ)
•
In the constant calculations, the addend becomes a constant.
r
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.
y
↔
θ
Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leakage or
explosion. Be sure to observe the following handling rules:
X
X
0
0
x
•
Rectangular coord.
Polar coord.
•
•
•
•
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.
DISPLAY
•
The calculation result is automatically stored in memories X and Y.
Value of r or x: X memory
Value of θ or y: Y memory
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:
Symbol
Equation
Display
Modify Function
(13)
When to Replace the Batteries
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.
θ = sin–1 x, θ = tan–1 x
θ = cos–1 x
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.
Mantissa
Exponent
DEG
–90 ≤ θ ≤ 90
0 ≤ θ ≤ 180
(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.
π
π
—
—
RAD
–
≤ θ ≤
0 ≤ θ ≤ π
2
2
Caution
GRAD
–100 ≤ θ ≤ 100
0 ≤ θ ≤ 200
•
•
Keep batteries out of the reach of children.
Exhausted batteries left in the calculator may leak and damage
the calculator.
Differential/Integral Functions
(5)
•
•
•
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.
: Appears when the entire equation cannot be displayed.
/
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 22 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.
Press </> to see the remaining (hidden) section.
COMPLEX NUMBER CALCULATIONS
(14)
xy/rθ : Indicates the mode of expression of results in the com-
plex calculation mode.
To carry out addition, subtraction, multiplication, and division using com-
plex numbers, press @m1 to select the complex number
Replacement Procedure
2ndF : Appears when @ is pressed, indicating that the func-
1. Turn the power off by pressing @ F.
tions shown in orange are enabled.
mode.
2. Remove two screws. (Fig. 1)
There are two modes of expression of the results of complex number
HYP
: Indicates that h 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.
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.
calculations.
•
When performing a calculation, the value stored in the X memory
will be cleared.
1
2
Rectangular coordinate mode. (xy appears on the display.)
@}
•
When performing a differential calculation, enter formula first
and then enter x value in differential calculation and minute
interval (dx). If a numerical value is not specified for minute
interval, x≠0 will be x×10–4 and x=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 (a, b) and subintervals (n). If a
numerical value is not specified for subintervals, calculation will
be performed using n=100.
Polar coordinate mode. (rθ appears on the display.)
ALPHA: Indicates that @ K or O (R) has been
pressed, and entry (recall) of memory contents and recall
of statistics can be performed.
@{
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.
Complex number entry
Rectangular coordinates
x-coordinate + y-coordinate Ü
or x-coordinate + Ü y-coordinate
Polar coordinates
FIX/SCI/ENG: Indicates the notation used to display a value and
changes each time @ f are pressed.
DEG/RAD/GRAD: Indicates angular units and changes each time
1
•
2
G is pressed.
: Appears when statistics mode is selected.
r Ö θ
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.
STAT
r: absolute value
M
: Indicates that a numerical value is stored in the inde-
pendent memory.
θ: argument
•
Upon changing to another mode, the imaginary portion of any
complex number stored in the independent memory (M) will be
cleared.
(Fig. 1)
(Fig. 2)
: Appears when the calculator shows the angle as a result
in the complex calculation mode.
Integral calculation (Simpson’s rule):
•
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.
i
: Indicates an imaginary number is being displayed in the
complex calculation mode.
1
3
b – a
N
N=2n
a ≤ x ≤ b
S=—h{ƒ(a)+4{ƒ(a+h)+ƒ(a+3h)+······+ƒ(a+(N–1)h)}
h=
+2{ƒ(a+2h)+ƒ(a+4h)+······+ƒ(a+(N–2)h)}+f(b)}
BEFORE USING THE CALCULATOR
Differential calculation:
STATISTICAL CALCULATIONS
dx
2
dx
2
Automatic Power Off Function
This calculator will turn itself off to save battery power if no key is
pressed for approximately 10 minutes.
f(x+––)–f(x–––)
f’(x)=————————
Key Notation Used in this Manual
In this manual, key operations are described as follows:
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).
dx
[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 ª. 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.
To specify ex
To specify E (HEX) : E
To specify ln
To specify X
: @e
ex
X
E
ln
: I
SPECIFICATIONS
: @KX
Calculations:
Scientific calculations, complex number
calculations, statistical calculations, etc.
Functions that are printed in orange above the key require @ to
be pressed first before the key. Numbers are not shown as keys,
but as ordinary numbers.
y
0 (STAT 0) : Single-variable statistics
Internal calculations:
Pending operations:
Mantissas of up to 12 digits
1 (STAT 1) : Linear regression calculation
2 (STAT 2) : Quadratic regression calculation
3 (STAT 3) : Exponential regression calculation
4 (STAT 4) : Logarithmic regression calculation
5 (STAT 5) : Power regression calculation
6 (STAT 6) : Inverse regression calculation
16 calculations 8 numeric values
(4 numeric values in STAT and complex
number mode)
Power On and Off
Press ª to turn the calculator on, and @ F to turn it off.
x
a
b
x0 x1
x2
x3
Power source:
Built-in solar cells
Clearing Methods
There are three clearing methods as follows:
y
x0
x2
3V ¶ (DC):
b
Backup batteries (Alkaline batteries (LR44)
a
x
Clearing
operation
Entry
(Display)
M*1
A-D, X,Y*2
STAT, ANS
× 2)
x1
x3
The following statistics can be obtained for each statistical calcula-
tion (refer to the table below):
Operating temperature: 0°C – 40°C (32°F – 104°F)
ª
×
×
×
External dimensions:
78.6 mm (W) × 152 mm (D) × 10.5 mm (H)
3-3/32” (W) × 5-31/32” (D) × 13/32” (H)
Approx. 78 g ( 0.172 lb)
Random Numbers
@c
RESET
Single-variable statistical calculation
Statistics of
(15)
Weight:
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.)
1
(Including batteries)
Accessories:
Batteries × 2 (installed), operation
manual, operation examples sheet, quick
reference card and hard case
Linear regression calculation
Statistics of and
(estimate y´) and estimate of x for a given y (estimate x´)
(16)
: Clear
× : Retain
1
2
and, in addition, estimate of y for a given x
1
*
*
Independent memory M.
Temporary memories A-D, X and Y, statistical data, and last an-
swer memory.
•
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).
2
Exponential regression, Logarithmic regression,
Power regression, and Inverse regression calculation
FOR MORE INFORMATION ABOUT THIS
CALCULATOR
Editing the Equation
Angular Unit Conversions
(6)
Statistics of
1
and
2
. In addition, estimate of y for a given x and
•
•
•
Press < or > to move the cursor. You can also return to
the equation after getting an answer by pressing > (<).
See below for Multi-line playback function.
Each time @g are pressed, the angular unit changes in
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.)
sequence.
Visit our Web site.
If you need to delete a number, move the cursor to the number
Memory Calculations
This calculator has 6 temporary memories (A-D, X and Y), one
independent memory (M) and one last answer memory (ANS).
(7)
you wish to delete then press d.
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.
Quadratic regression calculation
(17)
and coefficients a, b, c in the quadratic
Statistics of and
1
2
regression formula (y = a + bx + cx2). (For quadratic regression
calculations, no correlation coefficient (r) can be obtained.) When
there are two x´ values, press @≠.
Mode
ANS
M
A-D, X,Y
Normal
Multi-line Playback function
(1)
When performing calculations using a, b and c, only one numeric
value can be held.
Complex
Statistic
×
×
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.
×
x
sx
σx
n
Mean of samples (x data)
Sample standard deviation (x data)
Population standard deviation (x data)
Number of samples
: Available
× : Unavailable
1
[Temporary memories (A-D, X and Y)]
A stored value can be recalled as a value or variable for the use in
equations.
Σx
Σx2
y
Sum of samples (x data)
Sum of squares of samples (x data)
Means of samples (y data)
•
The multi-line memory is cleared by the following operations:
@c, @F (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.
•
In case you store an infinite decimal in the memory, recall it as a
variable to obtain accurate answers.
sy
σy
Σy
Σy2
Σxy
r
Sample standard deviation (y data)
Population standard deviation (y data)
Sum of samples (y data)
Sum of squares of samples (y data)
Sum of products of samples (x, y)
Correlation coefficient
Ex.) 1 / 3 O Y
3 * R Y =
3 * @ K Y =
[Independent memory (M)]
(0.3333...is stored to Y)
0.999999999
1.
2
In addition to all the features of temporary memories, a value can
be added to or subtracted from an existing memory value.
a
b
c
Coefficient of regression equation
Coefficient of regression equation
Coefficient of quadratic regression equation
Priority Levels in Calculation
This calculator performs operations according to the following pri-
ority:
[Last answer memory (ANS)]
1
∠
2
Functions preceded by their argument (x-1, x2, n!, etc.)
3
5
The calculation result obtained by pressing = or any other
calculation ending instruction is automatically stored in the last
answer memory.
x
Yx,
¿
4
Implied multiplication of a memory value (2Y, etc.)
Entered data are kept in memory until @ c or @ m
2 are pressed. Before entering new data, clear the memory
contents.
Functions followed by their argument (sin, cos, etc.)
6
×, ÷
Implied
multiplication of a function (2sin30, etc.)
nC
r,
n
P
r
8
+, –
7
9
10
AND
11
OR, XOR, XNOR
1
2
=, M+, M–, ⇒M, |DEG, |RAD,
Note:
[Data Entry]
Single-variable data
|GRAD, DATA, CD, →rθ, →xy and other calculation ending in-
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.
struction
Data k
•
If parentheses are used, parenthesized calculations have prec-
edence over any other calculations.
Data & frequency k (To enter multiples of the same
•
Random numbers .................. Y memory
data)
•
→rθ, →xy ............................... X memory, Y memory
Two-variable data
Data x & Data y k
Temporary memories and last answer memory are cleared even
when the same mode is reselected.
Data x & Data y & frequency k (To enter multiples
of the same data x and y.)
INITIAL SETUP
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.
(8)
Mode Selection
[Data Correction]
Correction prior to pressing k:
Normal mode (NORMAL): @m0
Delete incorrect data with ª.
Used to perform arithmetic operations and function calculations.
Correction after pressing k:
Press > to confirm the latest entry and press @ J to
delete it.
Complex number mode (CPLX): @m1
Used to perform arithmetic operations with complex numbers.
Fraction Calculations
(9)
Statistic mode (STAT): @m2
This calculator performs arithmetic operations and memory calcu-
lations using a fraction, and conversion between a decimal number
and a fraction.
Used to perform statistical calculations.
Statistical Calculation Formulas
Refer also to the operation examples sheet.
(18)
When executing mode selection, temporary memories, statistical
data and last answer memory will be cleared even when reselecting
the same mode.
Type
Linear
Exponential
Logarithmic
Power
Regression formula
•
•
•
In all cases, a total of up to 10 digits including integer, numera-
tor, denominator and the symbol (l) 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.
y = a + bx
y = a • ebx
y = a + b • ln x
y = a • xb
1
y = a + b —
x
Inverse
Quadratic
y = a + bx + cx2
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 × 10100
.
•
•
•
the denominator is zero.
an attempt is made to take the square root of a negative number.
no solution exists in the quadratic regression calculation.
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