Sharp ELW535XBSL, EL-W535 User Manual

PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA

/ /

EL-W531 EL-W531G EL-W531H EL-W531HA EL-W535

SCIENTIFIC CALCULATOR

OPERATION MANUAL

MODEL

ENGLISH

07BGK (TINSE1278EHZZ)

INTRODUCTION

Thank you for purchasing the SHARP Scientiﬁ c Calculator Model EL-W531/W531G/W531H/W531HA/W535. 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 in the manual for use.

After reading this manual, store it in a convenient location for future reference. Notes:

• Some of the models described in this manual may not be available in some countries.

• This product uses a period as a decimal point.

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.

• 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.

• 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. Do not use an object with a breakable or sharp tip. Note that pressing the RESET switch erases all data stored in memory.

• When using for the ﬁ rst time

• After replacing the battery

• 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.

NOTICE

Hard Case

Remove the hard case, holding it with your ﬁ ngers in the positions shown below.

DISPLAY

Symbol

Dot matrix display

Mantissa Exponent

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

• Only the symbols required for the usage under instruction are shown in the display and calculation examples of this manual.

: Indicates that some contents are hidden in the

directions shown.

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).

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 J 3, 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 onscreen when the power was turned off will appear on the display. Press @ o to turn it off.

Key Notations Used in this Manual

In this manual, key operations are described as follows:

To specify ex: 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.

@ "

; E

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 menu.

The WriteView editor (default) The Line editor

Note: 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

Operation Entry

j ○××××

@ Z Mode selection (b) ○××× ×*

@ P 0* @ P 1 0* @ P 2 0*

RESET switch ○: Clear *1 Press j x and then choose a memory to clear one

variable memory. *2 Deﬁ nable memory. See “Memory Calculations”. *3 Statistical data (entered data) *4 See “Memory clear key”. *5 Cleared when changing between sub-modes in STAT mode.

: Retain

A–F*1,

(Display)

○××○○

○×××× ○○○○○ ○○○○○ ○○○○○

D1–D4*2ANS STAT*

M, X, Y

Memory clear key

Press @ P to display the menu.

• To initialize the display settings, press 0. The parameters set as follows:

• Angular unit: DEG

• Display notation: NORM1

• N-base: DEC

• To clear all variables and memories (A−F, M, X, Y, D1−D4, ANS, and STAT) at once, press 1 0.

• To RESET the calculator, press 2 0. The RESET operation will erase all data stored in memory and restore the calculator’s default settings.

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. Notes:

• 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 through the following display styles:

• Mixed fractions (with or without or without

• Proper fractions (with or without

• Irrational numbers (square roots, fractions made using square roots) 󱽔 decimal numbers

Notes:

• In the following cases, calculation results may be displayed using r:

• 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 displayed as a decimal number.

π. When you press U, the display will cycle

π) 󱽔 improper fractions (with

π) 󱽔 decimal numbers

Entry value DEG multiples of 15 RAD

multiples of

GRAD

multiples of

⎯

π is greater than three, the result is converted to and

The Line Editor

Entry and display

In the Line editor, you can enter and display equations line by line. Notes:

• 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 editing screen.

• In the Line editor, calculation results are displayed in decimal form.

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.

Multi-line Playback Function

This calculator is equipped with a function to recall previous equations and answers in NORMAL mode. 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 operations: @ Z , mode change, RESET, N-base conversion, angular unit conversion, editor change (J 2 0 or J 2 1), and memory clear (@ P 1 0).

• 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 as

=”.

“

Priority Levels in Calculation

This calculator performs operations according to the following priority: ① Fractions (1

−

(

, x2, n!, etc.) ③ yx, xr ④ Implied multiplication of a memory value (2Y, etc.) ⑤ Functions followed by their argument (sin, cos, etc.) ⑥ Implied multiplication of a function (2sin 30, A ⑦ nCr, nPr ⑧

+, M−, ⇒M, ▶DEG, ▶RAD, ▶GRAD, DATA, CD, 󱽔rθ, 󱽔

M and other calculation ending instructions

• If parentheses are used, parenthesized calculations have

precedence over any other calculations.

4, etc.) ② Functions preceded by their argument

⎯

, etc.)

×, ÷ ⑨ +, − ⑩ AND ⑪ OR, XOR, XNOR ⑫ =,

INITIAL SET UP

Mode Selection

NORMAL mode: b 0 (default) Used to perform arithmetic operations and function calculations.

STAT mode: b 1 Used to perform statistical operations.

DRILL mode: b 2 Used to practice math and multiplication table drills.

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 (°): J 0 0 (default) RAD (rad): J 0 1 GRAD (g): J 0 2

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 J 1 0 (FIX) or J 1 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.

• When J 1 1 (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:

• NORM1 (J 1 3): 0.000000001

• NORM2 (J 1 4): 0.01

Selecting the editor

Two editors are available in NORMAL mode:

• The WriteView editor (W-VIEW): J 2 0 (default)

• The Line editor (LINE): J 2 1

Adjusting the display contrast

Press J 3, 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 4

1), the triangular cursor will change to a rectangular one, and the number or function underneath it will be overwritten as you make entries.

≤ | x | ≤ 9,999,999,999

SCIENTIFIC CALCULATIONS

• Press b 0 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 with the default display settings (@ P

0).

Arithmetic Operations

• The closing parenthesis ) just before = or m 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.

• In constant calculations, constants will be displayed as K.

Functions

• Refer to the calculation examples for each function.

• In the Line editor, the following symbols are used: : to indicate an expression’s power. (m, @ ",

• @ Y)

• : to separate integers, numerators, and denominators. (W, @ k)

• When using @ O or @ W in the Line editor, values are entered in the following way:

• logn (base, value)

• abs value

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.

Random numbers

A pseudo-random number, with three signiﬁ cant digits from 0 up to 0.999, can be generated by pressing @ w 0 e. Note: In the WriteView editor, the result will be a fraction or 0.

Random dice

To simulate a die-rolling, a random integer between 1 and 6 can be generated by pressing @ w 1 e.

Random coin

To simulate a coin ﬂ ip, 0 (heads) or 1 (tails) can be randomly generated by pressing @ w 2 e.

Random integer

An integer between 0 and 99 can be generated randomly by pressing @ w 3 e.

Angular Unit Conversions

Each time @ ] is pressed, the angular unit changes in sequence.

Memory Calculations

Memory calculations can be performed in NORMAL and STAT modes.

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 j x M to clear the independent memory (M).

Last answer memory (ANS)

The calculation result obtained by pressing = or any other calculation ending instruction is automatically stored in the last answer memory.

Notes:

• Calculation results from the functions indicated below are automatically stored in the X or Y memories replacing any existing values.

• 󱽔

• Two

• Use of t or ; will recall the value stored in memory using up to 14 digits.

Deﬁ nable memories (D1–D4)

You can store functions or operations in deﬁ nable memories (D1–D4).

• 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 do nothing 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.

• When displaying and correcting a data set in STAT mode, you cannot store functions or operations in deﬁ nable memories.

rθ, 󱽔

: X memory (r or x), Y memor y (θ or y)

x´ values from a quadratic regression calculation in

STAT mode: X memory (1:), Y memory (2:)

Chain Calculations

The previous calculation result can be used in the subsequent calculation. However, it cannot be recalled after entering multiple instructions.

Fraction Calculations

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. Notes:

• To convert a sexagesimal value to a fraction, ﬁ rst convert it by pressing @ :.

/ /

Binary, Pental, Octal, Decimal, and Hexadecimal

EL-W531 EL-W531G EL-W531H EL-W531HA EL-W535

SCIENTIFIC CALCULATOR

OPERATION MANUAL

MODEL

ENGLISH

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

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.

, *B, AC, lD, iE, and HF.

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 performed using the sexagesimal system. Notation for sexagesimal is as follows:

Degree

Minute

Second

Coordinate Conversions

• Before performing a calculation, select the angular unit.

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

• The results of coordinate conversions will be displayed as decimal numbers even in the WriteView editor.

r or x in X memory, and θ or y in Y memory).

Rectangular coord. Polar coord.

Modify Function

Decimal calculation results are internally obtained in scientiﬁ c notation, with up to 14 digits in 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 (@ n), the internal value is converted to match that of the display, so that the displayed value can be used without change in subsequent operations.

• When using the WriteView editor, if the calculation result is displayed using fractions or irrational numbers, press U to convert it to decimal form ﬁ rst.

STATISTICAL CALCULATIONS

Statistical calculations can be performed in STAT mode. There are eight sub-modes within STAT mode. Press b 1, then press the number key that corresponds to your choice:

0 (S#a# 0 [SD]): Single-variable statistics 1 (S#a# 1 [LINE]): Linear regression 2 (S#a# 2 [QUAD]): Quadratic regression 3 (S#a# 3 [E_EXP]): Euler exponential regression 4 (S#a# 4 [LOG]): Logarithmic regression 5 (S#a# 5 [POWER]): Power regression 6 (S#a# 6 [INV]): Inverse regression 7 (S#a# 7 [G_EXP]): General exponential regression

Statistical Calculations and Variables

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

Single-variable statistical calculation

Statistics of ①.

Linear regression calculation

Statistics of ① and ②. In addition, the estimate of given

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

(estimate

Quadratic regression calculation

Statistics of ① and ②, and coefﬁ cients regression formula ( regression calculations, no correlation coefﬁ cient ( obtained.) When there are two displayed with “1:” or “2:”, and stored separately in the X and Y memories.

Euler exponential regression, logarithmic regression, power regression, inverse regression, and general exponential regression calculations

Statistics of ① and ②. In addition, the estimate of

x and the 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 coefﬁ cients data.)

x´).

a, b, c in the quadratic

y = a + bx + cx

). (For quadratic

x´ values, each value will be

a and b, from converted data rather than entered

y for a

r) can be

y for a given

–

Mean of samples (x data)

sx Sample standard deviation (x data)

σx Population standard deviation (x data)

①

②

• Use ; and t to perform a variable calculation in STAT mode.

• U does not function in STAT mode.

Data Entry and Correction

Before entering new data, clear the memory contents.

Data entry

Single-variable data

Data _ Data H frequency _ (To enter multiples of the same

data)

Two-variable data

x H data y _

Data

x H data y H frequency _ (To enter multiples

Data

of the same data

Note: 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.

Data correction

Correction before pressing _ immediately after a data entry:

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

Correction after pressing _:

Use u and d to display the previously entered data set. Press d to display the data set in ascending (oldest ﬁ rst) order. To reverse the display order to descending (latest ﬁ rst), press the u key. Press @ u or @ d to jump the cursor to the beginning or end of the data set. Each data set is displayed with “X:”, “Y:”, or “F:”.

Display and move the cursor to the data item to be modiﬁ ed by using u and d, input the correct value, then press _ or e.

• To delete a data set, display and move the cursor to an item

of the data set to delete by using u and d, then press @ #. The data set will be deleted.

• To add a new data set, press j to exit the display of

previously entered data and input the values, then press _.

Statistical Calculation Formulas

Linear

Quadratic

Euler exponential

Logarithmic

Power

Inverse

General exponential

An error will occur when:

• The absolute value of the intermediate result or calculation result is equal to or greater than 1

• 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.

Number of samples

Σx Sum of samples (x data)

Σx

Sum of squares of samples (x data)

–

Mean of samples (

Sample standard deviation (y data)

Population standard deviation (y data)

σy

Sum of samples (y data)

Σy

Sum of squares of samples (y data)

Σy

Σx

Sum of products of samples (x, y)

Correlation coefﬁ cient

Coefﬁ cient of regression equation

y data)

b Coefﬁ cient of regression equation

Coefﬁ cient of quadratic regression equation

x and y)

Data set number

Data Frequency

Data set number

Data

Data y Frequency

Type Regression formula

y = a + bx

y = a + bx + cx

y = a ⋅ e

y = a + b ⋅ ln x

y = a ⋅ x

y = a + b

y = a ⋅ b

⎯

100

× 10

DRILL MODE

Math Drill: b 2 0 Math operation questions with positive integers and 0 are displayed randomly. It is possible to select the number of questions and operator type.

Multiplication Table ( Questions from each row of the multiplication table (1 to 12) are displayed serially or randomly.

To exit DRILL mode, press b and select another mode.

× Table): b 2 1

Using Math Drill and × Tab le

1. Press b 2 0 for Math Drill or b 2 1 for

× Tabl e.

2. Math Drill: Use u and d to select the number of

questions (25, 50, or 100).

× Tab le : Use u and d to select a row in the

multiplication table (1 to 12).

3. Math Drill: Use l and r to select the operator type for

questions (

× Tab le : Use l and r to select the order type (“Serial”

or “Random”).

4. Press e to start. When using Math Drill or questions are randomly selected and will not repeat except by chance.

5. Enter your answer. Press j or N to clear the entered number and then enter the correct answer.

6. Press e.

• If the answer is correct, “

is displayed.

• If the answer is wrong, “ is displayed. This will be regarded as an incorrect answer.

• If you press e without entering an answer, the correct answer is displayed and then the next question is displayed. This will be regarded as an incorrect answer.

7. Continue answering the series of questions by entering the answer and pressing e.

8. After you ﬁ nish, press e and the number and percentage of correct answers are displayed.

9. Press e to return to the initial screen for your current drill.

Math Drill sample

+, −, ×, ÷, or +−×÷).

× Table (random order only),

” appears and the next question

”appears and the same question

⁝

Current question/ Total questions

Question

See step 6 above.

Number of questions Operator type

Percentage correct Correct answers

× Table sample

Total remaining questions

Question

⁝

See step 6 above.

⁝

Multiplicand Order type

Percentage correct

Ranges of Math Drill Questions

The range of questions for each operator type is as follows.

+ Addition operator: “0 ] Subtraction operator: “0

positive integers and 0.

> Multiplication operator: “1 ) Division operator: “0

positive integers from 1 to 12 and 0, dividends of up to 144, and divisors of up to 12.

+]>) Mixed operators: Questions within all the above

ranges are displayed.

ERRORS 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 l or r automatically moves the cursor back to the place in the equation where the error occurred. Edit the equation or press j to clear the equation.

Correct answers

+ 0” to “20 + 20”

− 0” to “20 − 20”; answers are

× 0” or “0 × 1” to “12 × 12”

÷ 1” to “144 ÷ 12”; answers are

+ 5 hidden pages