PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA
Thank you for purchasing the SHARP Scientiﬁ c Calculator
About the calculation examples (including some formulas
and tables), refer to the calculation example sheet. Refer to
the number on the right of each title in the manual for use.
After reading this manual, store it in a convenient location for
• Some of the models described in this manual may not be
available in some countries.
• This product uses a period as a decimal point.
• Do not carry the calculator around in your back pocket, as it
may break when you sit down. The display is made of glass
and is particularly fragile.
• Keep the calculator away from extreme heat such as on a
car dashboard or near a heater, and avoid exposing it to
excessively humid or dusty environments.
• Since this product is not waterproof, do not use it or store
it where ﬂ uids, for example water, can splash onto it.
Raindrops, water spray, juice, coffee, steam, perspiration,
etc. will also cause malfunction.
• Clean with a soft, dry cloth. Do not use solvents or a wet cloth.
• Do not drop it or apply excessive force.
• Never dispose of batteries in a ﬁ re.
• Keep batteries out of the reach of children.
• For the sake of your health, try not to use this product for
long periods of time. If you need to use the product for an
extended period, be sure to allow your eyes, hands, arms,
and body adequate rest periods (about 10–15 minutes
If you experience any pain or fatigue while using this
product, discontinue use immediately. If the discomfort
continues, please consult a doctor.
• This product, including accessories, may change due to
upgrading without prior notice.
• 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 speciﬁ ed
battery life has expired, or any other cause.
• SHARP will not be liable nor responsible for any incidental
or consequential economic or property damage caused
by misuse and/or malfunctions of this product and its
peripherals, unless such liability is acknowledged by law.
♦ Press the RESET switch (on the back), with the tip of a
ball-point pen or similar object, only in the following cases:
• When using for the ﬁ rst time
• After replacing the battery
• To clear all memory contents
• When an abnormal condition occurs and all keys are
Do not use an object with a breakable or sharp tip. Note that
pressing the RESET switch erases all data stored in memory.
If service should be required on this calculator, use only a
SHARP servicing dealer, SHARP approved service facility, or
SHARP repair service where available.
Remove the hard case, holding it with your ﬁ ngers in the
positions shown below.
• During actual use, not all symbols are displayed at the same time.
• Only the symbols required for the usage currently being explained
are shown in the display and calculation examples in this manual.
: Indicates that some contents are hidden in the
2ndF: Appears when @ is pressed, indicating that the
functions shown in orange are enabled.
HYP: Indicates that H has been pressed and the
hyperbolic functions are enabled. If @> is
pressed, the symbols 2ndF HYP appear, indicating that
inverse hyperbolic functions are enabled.
ALPHA: Indicates that ;, x or t has been pressed,
and entry (recall) of memory contents and recall of
statistics can be performed.
DEG/RAD/GRAD: Indicates angular units.
BUSY: Appears during the execution of a calculation.
W-VIEW: Indicates that the WriteView editor is selected.
M: Indicates that a numerical value is stored in the
independent memory (M).
Indicates the mode of expression for results in CPLX mode.
ENG/SCI/FIX/N2/N1: Indicates the notation used to display a
value and changes by SET UP menu. N1 is displayed
on-screen as “NORM1”, and N2 as “NORM2”.
BEFORE USING THE CALCULATOR
When using for the ﬁ rst time, press the RESET switch (on the
back), with the tip of a ball-point pen or similar object.
Adjusting the Display Contrast
Press @J3, then + or & to adjust the
contrast. Press j to exit.
Power On and Off
Press j to turn the calculator on. The data that was on-
screen when the power was turned off will appear on the display.
Press @o to turn the calculator off.
Key Notations Used in this Manual
In this manual, key operations are described as follows:
To specify e
To specify ln:
To specify E:
• Functions that are printed in orange above the key require
@ to be pressed ﬁ rst before the key. When you specify the
memory, press ; ﬁ rst. Numbers for input values are not
shown as keys, but as ordinary numbers.
• Functions that are printed in gray adjacent to the keys are
effective in speciﬁ c modes.
• The multiplication operator “×” is differentiated from the letter
“X” in this manual as follows:
To specify the multiplication operator: k
To specify the letter “X”: ;X
The WriteView and Line Editors
This calculator has the following two editors in NORMAL mode:
WriteView and Line. You can select between them in the SET UP
The WriteView editor (default)The Line editor
• The WriteView Editor is only available in NORMAL mode.
• In certain calculation examples, where you see the o
symbol, the key operations and calculation results are shown
as they would appear in the Line editor.
Clearing the Entry and Memories
M, X, Y
Mode selection (
*1 Press jx and then choose a memory to clear one
*2 Formula memories and deﬁ nable memories. See “Memory
*3 Statistical data (entered data)
*4 Matrix memories (matA, matB, matC, and matD)
*5 List memories (L1, L2, L3, and L4)
*6 Cleared when changing between sub-modes in STAT mode.
*7 See “Memory clear key”.
*8 The username you stored using the name display function will
be cleared as well.
Memory clear key
Press @P to display the menu.
• To initialize the display settings,
press 0. The parameters are
set as follows:
• Angular unit: DEG
• Display notation: NORM1
• N-base: DEC
• To clear all variables and memories (A−F, M, X, Y, F1−F4, D1−D4,
ANS, STAT, matA−D, and L1−L4) at once, press 10.
• To RESET the calculator, press 20. The RESET
operation will erase all data stored in memory and restore
the calculator’s default settings. You can do the same thing by
pressing the RESET switch on the back of the calculator.
NORMAL mode: b0 (default)
Used to perform arithmetic operations and function calculations.
STAT mode: b1
Used to perform statistical operations.
DRILL mode: b2
Used to practice math and multiplication table drills.
CPLX mode: b3
Used to perform complex number calculations.
MATRIX mode: b4
Used to perform matrix calculations.
LIST mode: b5
Used to perform list calculations.
EQUATION mode: b6
Used to solve equations.
SET UP Menu
Press @J to display the
SET UP menu.
Press j to exit the SET UP menu.
Determination of the angular unit
The following three angular units (degrees, radians, and grads)
can be speciﬁ ed.
DEG (°): @J00 (default)
RAD (rad): @J01
GRAD (g): @J02
Selecting the display notation and decimal places
Five display notation systems are used to display calculation
results: Two settings of Floating point (NORM1 and NORM2),
Fixed decimal point (FIX), Scientiﬁ c notation (SCI), and
Engineering notation (ENG).
• When @J10 (FIX) or @J12
(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.
• When @J11 (SCI) is pressed, “SIG(0–9)?” will
be displayed and the number of signiﬁ cant digits can be set to
any value between 0 and 9. Entering 0 will set a 10-digit display.
Setting the ﬂ oating point number system in scientiﬁ c notation
Two settings are used to display a ﬂ oating-point number: NORM1
(the default) and NORM2. A number is automatically displayed in
scientiﬁ c notation outside a preset range:
| x |
| x |
Selecting the editor
Two editors are available in NORMAL mode:
• The WriteView editor (W-VIEW): @J20 (default)
• The Line editor (LINE): @J21
Note: Any entries will be cleared when you change the editor.
Adjusting the display contrast
Press @J3, then + or & to adjust the contrast.
Press j to exit.
Insert and overwrite entry methods
When using the Line editor, you can change the entry method
from “INSERT” (the default) to “OVERWRITE”.
After you switch to the overwrite method (by pressing @J
41), the triangular cursor will change to a rectangular
one, and the number or function underneath it will be overwritten
as you make entries.
Name display function
You can save a username in this calculator. When you turn the
power off, the saved username is displayed momentarily.
Up to 32 characters may be saved, split over two lines.
Entering and editing the username:
1. Press @J5. The
editing screen appears with a
ﬂ ashing cursor.
2. Use u and d to scroll
through the available characters. The following characters
can be entered (listed in the order that they appear):
Letters (A to Z, uppercase only), numbers (0 to 9), slash (/),
hyphen (-), colon (:), apostrophe (’), comma (,), period (.),
and space ( ).
Press @u to jump to “A”, and press @d or
j to jump to the space.
3. Pressing l or r moves the cursor to the left or right.
To modify a character, use l or r to move the
cursor to the character, then select another character using
u or d.
Press @l or @r
to jump to the beginning of
the ﬁ rst line or the end of the second.
Repeat steps 2 and 3 above to continue entering characters.
5. Press = to save.
Note: Press @Z in the editing screen to clear all the
ENTERING, DISPLAYING, AND EDITING THE EQUATION
The WriteView Editor
Entry and display
In the WriteView editor, you can
enter and display fractions or certain
functions as you would write them.
• The WriteView editor can only be used in NORMAL mode.
If the equation grows too large, it may extend off the edge of the
display after you obtain the result. If you want to see the entire
equation, press l or r to return to the editing screen.
Displaying calculation results
When possible, calculation results will be displayed using
fractions, r, and
π. When you press U, the display will
cycle through the following display styles:
• Mixed fractions (with or without
π) improper fractions
(with or without
π) decimal numbers
• Proper fractions (with or without
π) decimal numbers
• Irrational numbers (square roots, fractions made using
square roots) decimal numbers
• In the following cases, calculation results may be displayed
• Arithmetic operations and memory calculations
• Trigonometric calculations
• In trigonometric calculations,
when entering values such as
those in the table to the right,
results may be shown using r.
• Calculation results may extend
off the edges of the screen. You can see those parts by
pressing l or r (depending on whether the left or
right portion is hidden).
• Improper/proper fractions will be converted to and displayed
as decimal numbers if the number of digits used in their
expression is greater than nine. In the case of mixed
fractions, the maximum number of displayable digits
(including integers) is eight.
• If the number of digits in the denominator of a fractional
result that uses
π is greater than three, the result is
converted to and displayed as a decimal number.
The Line Editor
Entry and display
In the Line editor, you can enter
and display equations line by line.
• Up to three lines of text may be
viewed on the screen at one time.
• If the length of the equation exceeds three lines, parts of it
may be hidden from view after calculation. If you want to see
the rest of the equation, press l or r to return to the
• In the Line editor, calculation results are displayed in
decimal form or line fraction notation if possible.
Editing the Equation
Just after obtaining an answer, pressing l brings you to
the end of the equation and pressing r brings you to the
beginning. Press l, r, u, or d to move the
cursor. Press @l or @r to jump the cursor to
the beginning or the end of the equation.
In the WriteView editor, you can use u and d to
move the cursor up and down—between the numerator and
denominator, for example.
Back space and delete key
To delete a number or function, move the cursor to the right of
it, then press N. You can also delete a number or function
that the cursor is directly over by pressing @y.
The MATH Menu
Other functions may be available on this calculator besides
those printed on the key pad. These functions are accessed
using the MATH menu. The MATH menu has different contents
for each mode.
Press N to display the MATH
menu. For example, in NORMAL
mode, you can call the functions
shown on the right.
• When the
or symbols are displayed, you can use
u or d to display any hidden menu items.
• N does not function when entering values or items in
STAT, MATRIX, LIST, or EQUATION modes, or into solver
functions or simulation calculations.
The CATALOG Menu
Using the CATALOG menu, you can select functions and
variables that are available for what you are doing in the
currently selected mode. To display the CATALOG menu,
• Press u or d to move the cursor (
) and press e
• Press l or r to scroll up or down.
• Press @u or @d to jump to the ﬁ rst or last item.
Note: You cannot bring up the CATALOG menu when entering
values or items in STAT, MATRIX, LIST, or EQUATION
modes, or into solver functions or simulation calculations.
Multi-line Playback Function
This calculator is equipped with a function to recall previous
equations and answers in NORMAL or CPLX modes. A
maximum of 340 characters can be stored in memory. When
the memory is full, stored equations will be deleted to make
room, starting with the oldest.
Pressing u will display the previous equation. Further
pressing u will display preceding equations (after returning
to the previous equation, press d to view equations in
order). In addition, @u can be used to jump to the
oldest equation, and @d to jump to the newest one.
• To edit an equation after recalling it, press l or r.
• The multi-line memory will be cleared by the following
@Z, mode change, RESET, N-base conversion,
angular unit conversion, editor change (@J2
0 or @J21), and memory clear (@
• Equations that have one result require an additional eleven
characters’ worth of memory to store in order to hold the result.
• In addition to the amount of memory needed to store an
equation, the WriteView editor will require a certain amount
for the sake of display.
• Equations also include calculation ending instructions, such
=”.Priority Levels in Calculation
This calculator performs operations according to the following
① Fractions (1
4, etc.) ②∠, Engineering preﬁ xes
③ Functions preceded by their argument (
, n!, etc.)
r⑤ Implied multiplication of a memory value (2Y, etc.)
⑥ Functions followed by their argument (sin, cos, (
⑦ Implied multiplication of a function (2sin 30, A
, etc.) ⑧ nCr,
nPr, cv ⑨
×, ÷⑩+, −⑪ AND ⑫ OR, XOR, XNOR ⑬=,
+, M−, ⇒M, ▶DEG, ▶RAD, ▶GRAD, DATA, rθ,
other calculation ending instructions
• If parentheses are used, parenthesized calculations have
precedence over any other calculations.
• Press b0 to select NORMAL mode.
• In each example, press j to clear the display ﬁ rst. Unless
otherwise speciﬁ ed, calculation examples are performed in
the WriteView editor (@J20) with the default
display settings (@P0).
• The closing parenthesis ) just before = or m
may be omitted.
• In constant calculations, the addend becomes a constant.
Subtraction and division are performed in the same manner.
For multiplication, the multiplicand becomes a constant.
• In constant calculations, constants will be displayed as K.
• Constant calculations can be perfomed in NORMAL or STAT
• Refer to the calculation examples for each function.
• In the Line editor, the following symbols are used:
: to indicate an expression’s power. (m, @",
: to separate integers, numerators, and denominators.
• When using @O or @W in the Line editor,
values are entered in the following way:
• logn (base, value)
• abs value
Integral and differential calculations can be performed in
Note: Since integral and differential calculations are performed
based on the following equations, correct results may
not be obtained, in certain rare cases, when performing
special calculations that contain discontinuous points.
Integral calculation (Simpson’s rule):
Performing integral calculations
1. Press F.
2. Specify the following parameters: range of integral (initial
a), end value (b)), function with variable x, and number
of subintervals (
You do not need to specify the number of subintervals. If the
number of subintervals is not speciﬁ ed, the default value of
n = 100 will be used.
3. Press =.
• Parameters are entered in the following way:
a, b[, subintervals])
• Integral calculations, depending on the integrands and
subintervals included, require longer calculation time. During
calculation, the BUSY symbol will be displayed. To cancel
calculation, press j.
Note that there will be greater integral errors when there are
large ﬂ uctuations in the
integral values during
minute shifting of the
integral range and for
periodic functions, etc.,
where positive and
negative integral values
exist depending on the
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 you to obtain results from
calculations with greater accuracy and will also shorten the
Performing differential calculations
1. Press @G.
2. Specify the following parameters: function with variable
x, and minute interval (dx).
You do not need to specify the minute interval. If the minute
interval is not speciﬁ ed, it will automatically be set to 10
x= 0), or | x | × 10
(while x≠ 0).
3. Press =.
Note: Parameters are entered in the following way:
x= value of x[, minute interval]
d/dx (function, value of x[, minute interval])
The ∑ function returns the cumulative sum of a given expression
from an initial value to an end value in NORMAL mode.
1. Press @I.
2. Specify the following parameters: initial value, end value,
function with variable
x, and increment (n).
You do not need to specify the increment. If the increment is
not speciﬁ ed, the default value of
n = 1 will be used.
3. Press =.
Note: Parameters are entered in the following way:
Σ(function, initial value, end value[, increment])Random Function
The random function has four settings. (This function cannot be
selected while using the N-base function.) To generate further
random numbers in succession, press e. Press j to exit.
A pseudo-random number, with three signiﬁ cant digits from 0 up
to 0.999, can be generated by pressing @w0e.
Note: In the WriteView editor, if the result is not 0 it can be
shown as a fraction or decimal using U.
To simulate a die-rolling, a random integer between 1 and 6 can
be generated by pressing @w1e.
To simulate a coin ﬂ ip, 0 (heads) or 1 (tails) can be randomly
generated by pressing @w2e.
An integer between 0 and 99 can be generated randomly by
Angular Unit Conversions
Each time @] is pressed, the angular unit changes in
ModeANSM, F1–F4A–F, X, YD1–D4
Temporary memories (A–F, X and Y)
Press x and a variable key to store a value in memory.
Press t and a variable key to recall the value from that memory.
To place a variable in an equation, press ; and a variable key.
Independent memory (M)
In addition to all the features of temporary memories, a value can
be added to or subtracted from an existing memory value.
Press jxM 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
When the calculation result is in matrix or list form, the full matrix
or list is not stored into ANS memory. Only the value of the
element covered by the cursor is stored.
• Calculation results from the functions indicated below are
automatically stored in the X or Y memories replacing any
: X memory (r or x), Y memory (θ or y)
x´ values from a quadratic regression calculation in
STAT mode: X memory (1:), Y memory (2:)
• Use of t or ; will recall the value stored in memory
using up to 14 digits.
Formula memories (F1–F4)
You can store expressions in formula memories (F1–F4). Storing
a new expression in a memory space will automatically replace
any content that may already exist there.
• Expressions that are stored from the WriteView editor cannot
be recalled from within the Line editor, and vice versa.
• You can only recall expressions stored from the Line editor
when entering values or items in STAT, MATRIX, LIST, or
EQUATION modes, or into solver functions or simulation
• Any recalled expressions will overwrite any expressions that
are currently being entered.
• You cannot store formulas in formula memories when entering
values or items in STAT, MATRIX, LIST, or EQUATION modes,
or into solver functions or simulation calculations.
Physical Constants and Metric Conversions
Calculations using physical constants
To recall a constant, press K, then select a physical constant
from the list. (Each item is labeled with a 2-digit number.)
• To scroll up or down the list of constants, press u
(l) or d (r).
Use @u (l) or @d (r) to jump to the
ﬁ rst or last page.
• Enter the ﬁ rst digit of the 2-digit item number to jump to the
page containing the number that begins with that digit.
• When you enter the second digit, the constant is displayed
automatically according to the display and decimal
• Physical constants can be recalled in NORMAL (excluding
N-base), STAT, CPLX, MATRIX, LIST, and EQUATION modes.
• The following table lists the physical constants. See the
calculation example sheet for physical constant symbols
Note: Physical constants and metric conversions are based
on the 2006 CODATA recommended values, or on
the 1995 Edition of the “Guide for the Use of the
International System of Units (SI)” released by NIST
(National Institute of Standards and Technology).
Speed of light in vacuum
Newtonian constant of
Standard acceleration of
Atomic mass unit-kilogram
Classical electron radius
Magnetic ﬂ ux quantum
Electron magnetic moment
Proton magnetic moment
Neutron magnetic moment
Muon magnetic moment
Proton Compton wavelength
Molar volume of ideal gas
(273.15 K, 101.325 kPa)
Molar gas constant
Von Klitzing constant
Electron charge to mass
Quantum of circulation
Proton gyromagnetic ratio
Molar mass of carbon-12
Planck constant over 2 pi
Inverse ﬁ ne-structure constant
Proton-electron mass ratio
Molar mass constant
Neutron Compton wavelength
First radiation constant
Second radiation constant
Characteristic impedance of
Enter a value to be converted, then press @L, and
select a metric conversion by entering its 2-digit number.
• The metric conversion list is used in the same manner as
the list of physical constants.
• Unit conversions can be performed in NORMAL (excluding
N-base), STAT, MATRIX, LIST, and EQUATION modes.
• The following table lists units used in metric conversion.
See the calculation example sheet for the metric
conversion reference table.
01in : inch23ﬂ oz(US) : ﬂ uid ounce (US)
cm : centimeter24mL : milliliter
03ft : foot25ﬂ oz(UK) : ﬂ uid ounce (UK)
04m : meter26mL : milliliter
05yd : yard27cal
06m : meter28J : joule
07mi : mile29cal
: calorie (15°C)
08km : kilometer30J : joule
09n mi : nautical mile31cal
10m : meter32J : joule
11acre : acre*
33hp : horsepower (UK)
: square meter34W : watt
13oz : ounce (avoirdupois)35ps :
14g : gram36W : watt
15lb : pound (avoirdupois)37(kgf/cm
16kg : kilogram38Pa : pascal
17°F : degree Fahrenheit39atm : atmosphere
18°C : degree Celsius40Pa : pascal
19gal (US) : gallon (US)41(1 mmHg = 1 Torr)
20L : liter42Pa : pascal
21gal (UK) : gallon (UK)43(kgf
22L : liter44N
m : newton meter
*1 based on US survey foot
Deﬁ nable memories (D1–D4)
You can store functions or operations in deﬁ nable memories
• To store a function or operation, press x, followed by a
deﬁ nable memory key (I, J, K, or L), followed
by the operation you want to store. Menu-related operations,
such as @J, cannot be stored. Press j to return to
the previous display.
• To call a stored function or operation, press the corresponding
memory key. Calling a stored function will not work if the function
that is called would be unusable in the current context.
• Any functions or operations that are stored in a deﬁ nable memory
will be replaced when you save a new one into that memory.
• You cannot store functions or operations in deﬁ nable memories
when entering values or items in STAT, MATRIX, LIST, or
EQUATION modes, or into solver functions or simulation
The previous calculation result can be used in the subsequent
calculation. However, it cannot be recalled after entering multiple
instructions or when the calculation result is in matrix/list format.
Arithmetic operations and memory calculations can be performed
using fractions. In NORMAL mode, conversion between a decimal
number and a fraction can be performed by pressing U.
• Improper/proper fractions will be converted to and displayed as
decimal numbers if the number of digits used in their expression
is greater than nine. In the case of mixed fractions, the maximum
number of displayable digits (including integers) is eight.
• To convert a sexagesimal value to a fraction, ﬁ rst convert it by
Binary, Pental, Octal, Decimal, and Hexadecimal Operations (N-base)
Conversions can be performed between N-base numbers in
NORMAL mode. The four basic arithmetic operations, calculations
with parentheses, and memory calculations can also be performed,
along with the logical operations AND, OR, NOT, NEG, XOR, and
XNOR on binary, pental, octal, and hexadecimal numbers.
Conversion to each system is performed with the following keys:
@z (“BIN” appears), @r (“PEN” appears),
@g (“OCT” appears), @h (“HEX” appears),
@/ (“BIN”, “PEN”, “OCT”, and “HEX” disappear)
Note: The hexadecimal numbers A–F are entered by pressing
, and H
In the binary, pental, octal, and hexadecimal systems, fractional
parts cannot be entered. When a decimal number having
a fractional part is converted into a binary, pental, octal, or
hexadecimal number, the fractional part will be truncated. Likewise,
when the result of a binary, pental, octal, or hexadecimal calculation
includes a fractional part, the fractional part will be truncated. In the
binary, pental, octal, and hexadecimal systems, negative numbers
are displayed as a complement.
Time, Decimal, and Sexagesimal Calculations
You can convert between decimal and sexagesimal numbers, and
from sexagesimal numbers to seconds or minutes. In addition,
the four basic arithmetic operations and memory calculations
can be performed using the sexagesimal system. Notation for
sexagesimal is as follows:
• Before performing a calculation, select the angular unit.
• The calculation result is automatically stored in the X and Y
r or x in X memory, and θ or y in Y memory).
• The results of coordinate conversions will be displayed as
decimal numbers even in the WriteView editor.
Rectangular coord.Polar coord.
DEGmultiples of 15
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Abaixo, encontrará as perguntas mais frequentes sobre Sharp EL-W516XBSL .
O que é um erro de estouro?
Um erro de estouro geralmente ocorre quando o resultado da soma é maior do que a calculadora pode mostrar.
Uma bateria na minha Calculadora começou a corroer. Ainda é seguro usar o dispositivo?
O produto ainda pode ser usado com segurança após a limpeza adequada. Remova a bateria com luvas e limpe o compartimento da bateria com uma escova de dentes e vinagre. Após a secagem, novas baterias podem ser inseridas no dispositivo.