Sharp ELW535B EL-W531 , EL-W531G , EL-W531H , EL-W531HA , EL-W535 Operation Ma - Page 3

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-base)

11

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

m

A

,

*

B

,

A

C

,

l

D

,

i

E

, and

H

F

.

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

12

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:

Coordinate Conversions

13

• Before performing a calculation, select the angular unit.

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

memories (

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.

Modify Function

14

Decimal calculation results are internally obtained in scientific

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 first.

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

15

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

y

for a

given

x

(estimate

y

´) and the estimate of

x

for a given

y

(estimate

x

´).

Quadratic regression calculation

Statistics of

①

and

②

, and coefficients

a

,

b

,

c

in the quadratic

regression formula (

y

=

a

+

b

x

+

cx

2

). (For quadratic

regression calculations, no correlation coefficient (

r

) can be

obtained.) When there are two

x

´ values, each value will be

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

y

for a given

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

coefficients

a

and

b

, from converted data rather than entered

data.)

①

x

–

Mean of samples (

x

data)

sx

Sample standard deviation (

x

data)

σ

x

Population standard deviation (

x

data)

n

Number of samples

Σ

x

Sum of samples (

x

data)

Σ

x

2

Sum of squares of samples (

x

data)

②

y

–

Mean of samples (

y

data)

s

y

Sample standard deviation (

y

data)

σ

y

Population standard deviation (

y

data)

Σ

y

Sum of samples (

y

data)

Σ

y

2

Sum of squares of samples (

y

data)

Σ

x

y

Sum of products of samples (

x

,

y

)

r

Correlation coefficient

a

Coefficient of regression equation

b

Coefficient of regression equation

c

Coefficient of quadratic regression equation

• Use

;

and

t

to perform a variable calculation in STAT

mode.

•

U

does not function in STAT mode.

Data Entry and Correction

16

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

Data

x

H

data

y

_

Data

x

H

data

y

H

frequency

_

(To enter multiples

of the same data

x

and

y

)

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 first)

order. To reverse the display order to descending (latest first),

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 modified

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

17

Type

Regression formula

Linear

y

=

a

+

bx

Quadratic

y

=

a

+

bx

+

cx

2

Euler exponential

y

=

a

⋅

e

b

x

Logarithmic

y

=

a

+

b

⋅

ln

x

Power

y

=

a

⋅

x

b

Inverse

y

=

a

+

b

1

⎯

x

General exponential

y

=

a

⋅

b

x

An error will occur when:

• The absolute value of the intermediate result or calculation

result is equal to or greater than 1

×

10

100

.

• The denominator is zero.

• An attempt is made to take the square root of a negative

number.

• No solution exists in the quadratic regression calculation.

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 (

×

Table):

b

2

1

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.

Using Math Drill and

×

Table

1. Press

b

2

0

for Math Drill or

b

2

1

for

×

Table.

2.

Math Drill

: Use

u

and

d

to select the number of

questions (25, 50, or 100).

×

Table

: 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 (

+

,

−

,

×

,

÷

, or

+−×÷

).

×

Table

: Use

l

and

r

to select the order type (“Serial”

or “Random”).

4. Press

e

to start.

When using Math Drill or

×

Table (random order only),

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, “

” appears and the next question

is displayed.

• If the answer is wrong, “

”appears and the same question

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 finish, 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

…

…

×

Table sample

…

…

Ranges of Math Drill Questions

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

+

Addition operator

: “0

+

0” to “20

+

20”

]

Subtraction operator

: “0

−

0” to “20

−

20”; answers are

positive integers and 0.

>

Multiplication operator

: “1

×

0” or “0

×

1” to “12

×

12”

)

Division operator

: “0

÷

1” to “144

÷

12”; answers are

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.

Total remaining

questions

Question

See step 6 above.

Multiplicand

Order type

Percentage correct

Correct answers

Current question/

Total questions

Question

See step 6 above.

Number of questions

Operator type

Percentage correct

Correct answers

Degree

Minute

Second

Data set number

Data

x

Data

y

Frequency

Data set number

Data

x

Frequency

Sharp ELW535B EL-W531 , EL-W531G , EL-W531H , EL-W531HA , EL-W535 Operation Ma - Page 3

Binary, Pental, Octal, Decimal, and Hexadecimal - functions

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