Sharp EL-531 EL-509 / EL-531 Operation Manual - Page 3

•

The previous calculation result will not be recalled after enter-

ing multiple instructions.

•

In the case of utilizing postfix functions (

¿

, sin, etc.), you can

perform a chain calculation even when the previous calculation

result is cleared by the use of the

ª

key.

Fraction Calculations

This calculator performs arithmetic operations and memory cal-

culations using fractions, and conversion between a decimal

number and a fraction.

•

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

number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-Base)

This calculator can perform conversions between numbers ex-

pressed in binary, pental, octal, decimal and hexadecimal sys-

tems. It can also perform the four basic arithmetic operations,

calculations with parentheses and memory calculations using bi-

nary, pental, octal, decimal, and hexadecimal numbers. In addi-

tion, the calculator can carry out the logical operations AND, OR,

NOT, NEG, XOR and XNOR on binary, pental, octal and hexa-

decimal numbers.

Conversion to each system is performed by the following keys:

@ê

:

Converts to the binary system. “

” appears.

@û

:

Converts to the pental 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

™

A

,

⁄

B

,

L

C

,

÷

D

,

l

E

, and

I

F

, and displayed as follows:

A

→

ï

, B

→

∫

, C

→

ó

, D

→

ò

, E

→

ô

, F

→

ö

In the binary, pental, octal, and hexadecimal systems, fractional

parts cannot be entered. When a decimal number having a frac-

tional part is converted into a binary, pental, octal, or hexadeci-

mal 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 num-

bers are displayed as a complement.

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 carried out using the sexagesimal

system.

Notation for sexagesimal is as follows:

degree

second

minute

Coordinate Conversions

•

Before performing a calculation, select the angular unit.

•

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

Modify Function

In this calculator, calculation results are internally obtained in

scientific notation with up to 14 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.

STATISTICAL CALCULATIONS

Statistical calculations are performed in the statistics mode. Press

m1

to select the statistics mode. This calculator performs

the seven statistical calculations indicated below. After selecting

the statistics mode, select the desired sub-mode by pressing 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

m1

).

↔

P (

x

,

y

)

X

Y

0

y

x

P (

r

,

θ

)

X

Y

0

r

θ

Rectangular coord.

Polar coord.

0

(SD)

:

Single-variable statistics

1

(LINE)

:

Linear regression calculation

2

(QUAD)

:

Quadratic regression calculation

3

(EXP)

:

Exponential regression calculation

4

(LOG)

:

Logarithmic regression calculation

5

(PWR)

:

Power regression calculation

6

(INV)

:

Inverse regression calculation

The following statistics can be obtained for each statistical calcula-

tion (refer to the table below):

Single-variable statistical calculation

Statistics of

Q

Linear regression calculation

Statistics of

Q

and

W

and, in addition, estimate of

y

for a given

x

(estimate

y

´

) and estimate of

x

for a given

y

(estimate

x

´

)

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Statistics of

Q

and

W

. In addition, estimate of

y

for a given

x

and

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.)

Quadratic regression calculation

Statistics of

Q

and

W

and coefficients

a

,

b

,

c

in the quadratic

regression formula (

y

=

a

+

bx

+

cx

2

). (For quadratic regression

calculations, no correlation coefficient (

r

) 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.

¯

x

Mean of samples (

x

data)

sx

Sample standard deviation (

x

data)

Q

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)

¯

y

Mean of samples (

y

data)

sy

Sample standard deviation (

y

data)

σ

y

Population standard deviation (

y

data)

Σ

y

Sum of samples (

y

data)

W

Σ

y

2

Sum of squares of samples (

y

data)

Σ

xy

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

K

and

R

to perform a STAT variable calculation.

Data Entry and Correction

Entered data are kept in memory until

@c

are pressed or

mode selection. Before entering new data, clear the memory con-

tents.

[Data Entry]

Single-variable data

Data

k

Data

&

frequency

k

(To enter multiples of the same

data)

Two-variable data

Data

x

&

Data

y

k

Data

x

&

Data

y

&

frequency

k

(To enter multiples

of the same data

x

and

y

.)

•

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 prior to pressing

k

immediately after a data entry:

Delete incorrect data with

ª

, then enter the correct data.

Correction after pressing

k

:

Use

[]

to display the data previously entered.

Press

]

to display data items in ascending (oldest first)

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

press the

[

key.

Each item is displayed with ‘

Xn=

’, ‘

Yn=

’, or ‘

Nn=

’ (

n

is the sequen-

tial number of the data set).

Display the data item to modify, input the correct value, then

press

k

. Using

&

, you can correct the values of the data

set all at once.

•

When

or

appears, more data items can be browsed by

pressing

[

or

]

.

•

To delete a data set, display an item of the data set to delete,

then press

@J

. The data set will be deleted.

•

To add a new data set, press

ª

and input the values, then

press

k

.

Sharp EL-531 EL-509 / EL-531 Operation Manual - Page 3

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

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