Sharp El-5103 User manual

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CONSUMER

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5101'I

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A,PP\.Y

TO

you.

IN ADDITlOS.

nils

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CIV6

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OPERATIONAL

NOTES

Th.nk

you

for

your

purch.se

of the

SHARP

scientific

c.lculuor.

EL·51 03.

Since

the

liQuid cryst.1

displ.y

is

made

of glass

m.ted.l,

Irllt

the

c.lculltor

....

ith

c"e.

Do

not

put

th

e

"El·5103"

in

your

back poclalt IS it

m.y

be

damlgtd

....

h.n

you

sit

down

.

To

insure trouble·free

operation

of

your

SHARP

calculltor.

~

reconvn.nd

the follow·

ing:

1.

The

calculator

should

be

kept

in areas free from

extreme

temperlture

ch.ngeli

moinure

and

dust.

'

2. During s

ummer

we.ther

wtticlll$ left in

direct

sun light

.re

$Ubj.c! to high

temper.·

lure

build

up.

Prolonged

exposure

to

high

temperlture

m.y

cause

d/llTlage

to

your

calculltor.

3. A

soft,

dry

cloth

should

be used

to

clean

the

calculltor.

Do

not

use solvents

or.

weI

cloth

.

4 .

If

the

calculltor

....

ill

not

be

operated

for

.n

eXlended

period

of

tim.,

remove the

betteries

to

.yoid

possible dlmagre caused by

battery

Ilek

•.

5.

If

se

rvice of

your

celculator

is

required, use only an

autho

rized SHARP Service

Genter.

6.

Keep this manual for further referene

•.

All

of

the

kays

may

beeom.

inoperative

during

the

operation

of the caleulator

dua

to

a

strong

ele"rnal

noise

and

so

on.

In sueh a casee

remove the batteries

and

install tflem again.

Pre"

the

~

,

@ID

,

~

end

~

keys in this

order

and

eheck

the

display"

0."

or

"_

"

INTRODUCTION

..

MODES ,

..

COMPUTATION MODE .

CONTENTS

1.

Addition, Subtr1lCtion & Playbaek

2.

Multlplieation,Oivision

3.

Scientifie Functions

, ..' ' , ... .

p,

..

4

S

•

7

.11

4. Multipla

data

memor

ies , ., ,

...

5.

formula

Solution

in

the

COMP

mode

6. Errors

.....

7.

Grammer.

8.

"EleprHslon"

eorrection

and

e.diting .

AER MOOE

..........

.

1. Formula Entry I. ...

...

, ...

2.

Formula Entry

II

Dialogie

Form.

3.

Lew

of

Cosines . . . . .

4.

BusineS$

Appl~tion

.

5. Program

SI$S

...

STATISTICAL MOOE .

1. Qna.yariable statinica1 ealeulation

2. Singl, Variable

Statinics.

3.

Two

Variable Statistics

and

Linear Regression

DISPLAY SYSTEM AND OECIMAL PLACES .

THE

KEYBOARD.

.., ...

~

...

, .,

..

.

..

, ~

p,

..

. 19

.20

·23

.30

·32

·33

.34

·3'

.38

·

39

.

41

.42

.43

.44

.4S

.

.49

. .

sa

,

•

OPERATING

CONTROLS

OISPLAY . , .

SPECIFICATIONS,

.

BATIERY

REPLACEMENT

..

IN

TR

{JI

11)(

I If IN

P.,.

.57

.6

9

.73

.75

This manuel wilt introdt.lce

YOU

to

Ihl

lherp

IL,a,OJ $Cientilic calculator. T

EL

.51.

OJ

is

a now

and

powerful ComPUtlrl,

InUrvrntn..

'

.,

h.

I b I

~I

I P<'ol/ide

YOU

with

ormlda,

Ie

computing

power

in

m.th.n,,!h

",

KI'rltllic,

anglneerlng

ood

b

...

·

••

calcululons.

...

I"

S$

The

EL

·51OJ

prOl/ides direct entry 01

~1I!t

Ullllurll."d

formulas as

written

Yo

'II

see as

you

follow

through

this

manu.l

,11,,111,1: I

111

OJ

m.kes

it

un~~-

.

,"

w,

"mach'

I

"AI

k .

'~

..

u~$IIry

to

&Irna

Ina an{lllage.

ter

eYing

In

I

form""

'1w

wilt

be

abh,

to

",wall

(f

or

last

your

inputs. V e It,

correct

This

Instruction

Manual uses a

new

format.

Eacf'l

section may

be

dil/ided

into

besic

and

adl/llnced material.

Tha

edvanced

meteriel is

labeled

"supplementary".

The

sup

plementary

sections may be

skipped

without

hamp

ering

your

ab

ility

to

OI>8rate

the

calculator.

You

may

wish

to

return

10

lh&

supple-

mentary

sections as

your

skill in

operating

the

EL-5103 ;ncreMes.

Name label

Write

you.

name

on

the

attached

name

label

and

stick

It

on

the

back

01

the

calcul

ator

.

MODES

Note

the

mode

switch

on

the

lower

right

of

yOUr

calculator.

As

you

moIlS

the

switch

Irom

one

mode

to

another

th

e

name

of

the

mode

aPPllllrs in

the

display.

"AER"

stands

for

Algebraic Expression Reserve;

"COMP"

lor

COMPutations;

and

"STAT"

for

STATistical,

,

COMPUTATION MODE

Set

the

mode

swlu:h

to

"COMP"

.

When

the

svmbol

"FIX",

"SCI"

or

"ENG"

appears

8\

the

top

of

the

display, press

the

@ key.

And

press

the

~

key

continuously

until

the

above

symbol

disappear

.

(In

this case

the

floating decimal

point

syst&m

is

let.

(For

the

~

key see

"Display

system

and

decimal plllCes"l)

1.

Addit

i

on.

S

ubl

r.al(HI

So

PI

.ylHck

Key

in

the

following

:

12

m

45.6

G 32.1

[£)

789

G 741

[£]

213

As

you

key in

the

"1"

in

32

.1+,

you

will

note

that

13th

character

"+"

exceeds

the

13

column

C8pacity

of

the

display

owing

to

8)Cl.e

prHeoce

of

the

cursor.

At

this

point,

e

unique

feature

calii'd

"rolling

write

r"

becomes efflK:tive. As each additional

nep

is

entered,

the

display

will

roll

to

the

left.

The

data

rolled

off

the

$Creen

will

be

flllCQI"d&d

up

to

80

neps

in

thl

COMP

MODE

.

An

arrow'"

wil1eppear

on

the display

indicating

i"f()(melion

now

is

stored

in

that

direction.

Now

press

~

Your

answer

is

286.5

Now

prMS

[!i)

(playback

I.

You will get

back

in

the

display a

portion

of

your

original

input

to

check

and/or

edit.

Press

[fjJ

&gain

to

obta

in

the

ramaindar

01

your

inputs. Editing will

be

e:ICplained

in detail in a later $l"I:tion.

If

you

have plllCed material

in

the

display

and

ha

ll'e

not

used

the

calculator

lor

approximately

ten minutes,

the

calculator

will go

into

(APO!

"Automatic

Power

Off"

automatically

to

conserve

battery

life.

Be

simply lurnil"lg

the

calculator

on

.11

of

you.

I.st

II"IPUIS

will

relU'1"I

to

the

display.

2. MultipllcatiOl"l. Division

I.

Key

in

tha

followil"lg:

·

~

841

00

586

m

.12m

Al"Iswer

: 4106883.333

to

After

play

back

openiltiOll in COMP

mode

pnt$,

~

or

(gJ

key-l

b.

Key in

the

following:

2

(±]

5

(Xl

3

GJ

4 G 1

[§J

Answ8!":

4.75

Note

th.t

the E

L·51

03

follows

the

priority

of

mathematics

kl"lown

.,

algebraic

oper.ting

system

.

In

other

words

multiplication

and

division will

occur

before

.ddition

al"ld

sub·

,

traction.

The

full

order

of priorities is described

in

the

supplementary

below.

The

mathematical

priorities

can

be

re-ordered

by

using parenthesis.)

I

Supplementary

-,

priority

level I

The

m.chlne,

provided

with

I

function

that

judges

the

Q.lority

level

of

Individual

cal

.

culltionl,

Qermltl

ke

y,

to

be

operated

according

to

a

given

algebraic

formul

a.

Th.

foilowingihowl

the

Qrlorltv

l.vI'

of

Individual

calculations.

In

I-I

(2)

Slnglto·

tlrm

fun.c:tlon

pracedold

by

num

a

rals

(x

J, X- I

,nl,

-OEC,

.....

O.

MS)

131

Two·blrm

function

preceded

and

followed

by

numerall

IYX,~

.....

POL,-

...

eC .•.. )

141

Multipllcltlon

ct

....

d

of

"lC"

Inl!ructlon

locatld

lUll

befo.e

memory

Or !f.

Ie

... 2

....

4AI

15)

SlnlJl.

·

term

function

followed

by

numerall

.

IF,

.x.

lOX.

-:r,

LN,

LOG.

SIN,

COS,

TAN,

SIN

-

',

COS-'.

TAN

-

'.

SINH,

COSH,

TANH,

SINH

-

'.

COSH

-

'.

TANH

-

')

(61

x.';'

(7)

+,-

al81

- ,

M+.

M-

12nd

F

M+),

STO

A -

STO

e,

STO

M,

Oete.

CO

•

Calculation.

hav

e

priority

to

olhe

....

when

parenlhellzld.

•

Provided

till!

functlonl

Ihown

In

Item

(5)

above

ar

••

ucc

...

lvlly

dellgnltld

In

algebraic

formula,

celcul.tlonl

Ire

performld

from

the

right

to

the

lelt.

E.., IX

LNF120

-

e"ILNI"r

120H

The

other

function

••

re

calculated

from

the

left

to

the

right

.

E>I

.

A~ayxCY"D

_

IIAV-B1YXClyxD

Order

of

calculations

In a

typlcel

I ..

""ple:

Ex. 5

+2

".In

30+24

.. 5

'-

15

m,2

(X)

I!®

30

CD 24

00

15

CEI

31 m

,

{P.nding

operttlonl

A.

this

machln.

II

dHlgn.d

to

.~.cut.

In

"Express

i

on"

acco rding

to

•

glll.

n

alll'braic

fo

r

mu

la,

loma

of

thl

Instru

ctlonl

or

num

arl

CI

Included

in

the

"Exp

....

ion"

ca

n't

be

treatad

dlr.ctlv

.

Th

...

fore,

th.v

are

tem

porarilv

stored

In

the

bt.ollt

·ln b

uff

...

and

thl

r

est

Is

If.at.d

In

adllanc

•.

Th

il

ca

l

culator

h

as

a

16

·1t.

function

buff"

110r

calcuill

i

on

Instruction)

and

8

...

tJoga

date

bl,<ff"

(for

n

um

..

lca'

dlla)

In

It.

Wha

n

tha

calcuillion

. x

ceeds

16

...

11011

In

function

Or

8...,19'8

In

dlte

I.

parfo,mad.

an

"rD

'

DCCu

....

Ex

. l

'"

2x

{3 - 4 +

(7

+

15

r

(7

x6

yX

3 _

CD

<»

<l5

0

(l)

ili

<l5

@

Fu

nctlona'

bufNr.

Date

buff.r.

11

...

taoe

(Including

"

...

nth

....

)

8·1t'08

E

x.2

14

- 5 .. 4

xSIN

2Ayx(2.

3 +

LOG

38

~

48

.

'"

T @

<f1>

®®

<?Xp

Wh

_

........

,

.....

E

..

h

-.-no

....

I<

•

__

com_

""_.

"1._!;'·

...

ft

......

.

lc.'

...

I

....

i>

."cu'a,td

_

the

l1

-1U1\11

(,,,,,Iud,ng

__

,-.1

r

....

1t

I,

..

t

alntd.

"9"

.

Functlona'

buff

..

,

11-stage

(including

pa.enth8$8'l)

8·.tage

Ex

.3

..!i

2

:..~3~UJl~

4

..r~v::.4.!~

COO>®

Cf

(i)®-®~

6J{@

@,

@

~@

_n

......

0"-

_

...

~_"

<_.

Although".'

I.

_'ntd.

"tZ

.

...

11

..

'<,,'......

"3.

Z

..

11

..

,,,,,,

...

0

.......

'.,..,."_

I

...

""

......

,,,

..

"'n,'n

lX

. ,

....

It,ng

In

&_.

..

II

..... w

....

«"'

..

nt

.

Functlona'

buff",

16

-stage

(including

pa

..

nth

....

)

Ol1a

buffar:

7·stage

End

of

Supplementary 1 r

When

on

lV

the

svmbo

l ,...... "

appe

al"l

8t

the

top

of

tha

displav

during

calcu

l

ation,

do

n

ot

continua

making

entries.

3.

Scitntitic

Functions

Scienti

fic Ca)cu

lltions

a

re

performed

in

the

$Ime

manner

as

b8sic

computati

ons.

As

you

will

note,

in

the

f

ollowing

examples,

scien

tific

functions

are

u

sed

as

vou

WO\Ild

norm.lIv

rHd

them.

NOli

Step

: 1 St

ep

correspond

to

l-digit

disp

lay.

Howe

ller

instructions

luch

81 S

IN

,

SIN

- ' ,

SINH

- I

and

L

OG

are

prDC8$1.ed

as

one-ltep.

,

"

t.

TrigonomH'ic:

functioos

OAG

The

,"gul"

mode

is

designated

by

the

~

CEIl

key. As

you

press these

k.ys

the

mod.

"OEG"

"RAD"

"GRAD"

will

appear

at

the

top

01

th.dlsplay

,

Put

the

angul,r

mode.t

"OEG",

Key in

th,

following:

\I®

30

~

40

@]

Ans'Nl!':

1.266044443

Pullh.

angul.,

mode.,

"RAD"

Key

in:

S§l

.25

ill

m

Answer: 0.707106781

b.

'nv,'"

TrigOnometric

Function.

and

s.c:ond

Function

Th.

yellow

key

in

the

upper

left

of

th,

celcul.tor

marked

"2nd

F"

must

be

used

to

dMignate

the

material appearing in

brown

above each key. When this key

is

pressed,

th,

designati

on

"2nd

F"

will

appea

r in

the

uppar

part

of the display.

If

you

press this k

ey

in

error,

pr

ess

it

a

MlCond

time

and

the

"2nd

F"

designation

will disappear.

Put

the

,ngula,

mode

81

"OEG"

Key

in:

~

!!!a

.5

I =I

Answer:

30

IRemember 10 use

the

second function key

to

gel

Ih.

inveml

Put

th

e anguler

mode

81

"RAD"

Kev in:

~

@!ElJ

1 @

(To

enler

a negali

...

number,

press Ihe

!EJ

key

before

numerals.)

Answer:

3141592654

(Value of

wI

In Ihis Manual,

we'll

always

show

Ihe key's H(:OI'Id functiOl'ls!IS follows;

~rE

-

~~

e.

HYperbolic:

and

Inv_

Hyperbolie

funct.ons

When using Iha

hvp

erbolie

and

an::

hvperbolk

funelions

"HYP"

wilt appear

in

the

lOP

of

the

displav.

Key

in:

~Ii@

4 @

AnS'N8r:

27.2899172

Kev

in

:

~

8 (!!ffi 9

@]

An$wer:

2.893443986

d.

Po_r

Fundion.

Calculate:

20~

Key

in

:

20

~W

"

r

..

Answer:

400

Calculate

3'

and

3-

Key

in

: 3

CI!J

3 m

Answer:

27

e.

Roots

Calculate:

Key in:

Answer:

50

~CLl

25

m

5

Calculate: Cube

root

01

27

Key

i

n:

~

!!Cl

27

[X]

Al'!

swer: 3

Calculalfl fourth

root

of

81

Key

il'!

: 4

~m

81

[§J

Answer: 3

f.

LogIIrithmic ful1Ct;ont

Key

il'!:

3

ce::J

4 m

Answer: 81

Natural Logarithms: Key ;

I'!

:

1IHJ

21

0

Answer: 3.

044522438

CommOl'l

Logarithm

$!

Key ;I'!:

~

LQg 173

@]

Answer:

2.238046103

8. E"pon.entgl Functions

Key

in

:

CI!J

3.0445

m

Answer: 20.99952881

(21

as

in

item

"f"

abovel

Key

in

:

~

G@

2.238

~

Answer:

172

.

9816359

(173 as

in

item"f"

abowl

h. Reclprocalt

Ca

lculate: 1/6

-t

1n

Key

In

: slX:JC±J 7

~0

Anw..er: 0.30952381

I. FeetOfle'

Calculete:

691

Key

in:

69

~

[1ll]0

Answ...: 1.

71

12245E

98

(1.71

12245

>I

10'"'

Not

e

the!

the Error sectiol'! deals with

the

calcuietiol'!limiti

of

the celculetor.

j.

"rmutetion.

Calcul"e

:

.

p

~

Key

il'!

: 5

~!1ITI

.:..

~rn:D0

(IJ

5 G 3 m

Answer:

60

"'

nPr ·

---

(I'! -

til

"

k.

Combin.tions:

"'

Calcu

late

the

number

of

co

m

binations

of

nCr"

-,~"---,;-

5

card$

in.

dllCk

of

52.

rlln

r

)1

Kev in:

52

~

(]ill

rn

m 5

~

am

CD 52 G 5 CIJ

~

mIl

~

Answer:

2598960

Supplementary 2 - effec:ti,e digits

• In

this

c.lcu

lltor

.•

11

c.lcullt

l

on,

.r.

p.rform.d

by uslnll •

numer

lCII ....

Iu.

whOM

ml.'ltl

nl

Is

12

digits

a.

'In.

Cl

l

cu

l

nlon

results

..

1

dlspl.yed

efter

th.y

Ite

subjected

10

declmel

system,

but

the

clkulltor

r

.teln,

•

num.ricll

IIlluI

whose

mlntl"l

Is

12

dllliu.

HOW

......

when

I

cllculltlon

results

Is

used in

the

fo

llo

wing

clku

l

.tion,

the

result

dn.pl

.Yld

In

I(:(;or

d.nci

with

thl

declmll

systlm

i, u

sed.

•

Wh.n

I

numeric

ll

v.lul

I,

Inputt.d

...

m.nt

's

...

only

its

upper

10

d'gits

er

••

ffec·

t,lItI,

but

the

number

of

Inputted

dlllits

Is

retlln.d.

A

numeric.1

v.lu.

sm.lle

r

th.n

1

lor

leroe

r

th.n

- I

I's

.l

to

r

...

ln.d

within

10 dillits

..

much

.s

p~sibl

•.

Ex

. 1

23456789876

.qu.

1

to

1.234567898

"

10"

0.00000000001234

--

.q

u

I'

to

1.234

" 1

0-"

IEnd

of

supplementary 2

"

I.

Angle/Tim,

conveniom

To

conllert

an

angle

given

as

degraes/minuIU/SllCoodS to its

decimll

equillalent,

it

must

be

entered

as

in

teger

and

decimal

respeclillflly.

Conllflrt 120

47'52

"

to

its

dllCimal

equivalent

Key

in:

12.4

752

~m

Answer:

12.79777778

When

coolltlrting

decimal

degrees

to

the

equillalent

deg

ree

S/mint.IIUfsecon

ds,

the

Inswer

is

broken

down:

integer

portion

..

degrees;

151

.nd

2nd

decim.1

digits

..

minutes;

3rd

and

4th

digits

..

seconds;

and

the

5th

through

end

decim.1

digiti

art

decim.1

MtCOndti.

Convert

24.7256

10

its

degree/minute/second

equill.lent

Key in:

24.7256

~~

m

Al1liwer:

24

.

433216

or

24

43

'32"

A horfll h8$

treck

times

of

2

mi

n

utes

25

seco

nds

, 2

minutes

38

seconds,

.nd

2

minutes

22

seconds.

What

is

the

average

running

lim

.?

Key

in:

.0225

~

rn

.0238

~

m

.0222

~

[5J

Answer

1:

0.123611111

(press

IE!)

if

you

"";Ih

to

check

your

inpu

t)

Key in:

rn

3 0

AnSwer

2:

0.041203704

17

"

Key

in:

~

E!3

@J

An_r

3:

0.022833333

or

the

average time

is

2 minutes

28

secoods

m.

Coordin,t.

Co

nversi

on

Convllrting rectangular

coord

inates to potar

~

x, y _

r,

8)

tJ'~~~

'

r

...

~

()

...

tan-'

..!....

x

Solve

fOt'

JC

... 6

and

y'"

4

mode

...

DEG

Key

in:

6

~

4

0

Answer: 7.2"

'02551

~r)

Key

in:

~

[[]

Al!Swer:

33.69006153

(8)

Note

thai

the

va

lues

of

y a

nd

8 are

stor,d

in

E.

DEG: o

~

t 8 I

~

180

RAD:

O

~

t(}r;:::;1I'

GRAD: 0

~

181

~

200

Calculate

the

magnitude

,nd

directioo (phase)

in

,vector

i -

12

+i9

Key in: 12

~

9

@J

Answer: 15

(r)

Key in:

~

m Answer:

36.86989165

(8)

Convening polar coordinates

to

rectangular Ir,

(}

-

x,

y 1

Solve for P (14,

...

131,

r -

14

8 "

11'/3

Mode -RAD

Keyin

14

~~ITJrn[£]

3

mrn

Answer: 7 (XI

Key in:

~m

Answer: 12.1

2435565

Iyl

4,

MuttipJ.

dat.

m

emo

r

ies

The EL·51Q3 has 6 memories (A -

E,

MJ

for storing variables. coostants

or

results.

Independently accessible memory M has

memory

plul and memory minus (

~

[!!±J

) function.

BV

Memory

Safe Guord, turning the

calcul.tor

on

and

off

will nOt

Iffeet

the material

stored

in

the

memory

.

Memory A - E:

To input a

number

into a memory press

the

value fo

ll

owed

by

~

and

thl

m&mOTY

l

etter

. Additioo

or

lub

traction

to

I

memory

is

not

possible.

To

reealla

Villu

e 'rom a

memory

press

~

I

nd

the

appropriate

memory

lener

. To

clear'

memory

prl'SS

rn~

and

the

memory

t

etter,

Key

in:

12 CKl 5 (!!Ql

rn

Annver:

60

Content

of Memory A "

KlY

in;

Ans_r;

KlY

in:

Answer;

300

m~rn(!!Ql

m

5

Content

of

MIImory 8

~

mm~rn!!!IDm

12

Contlnt

of Memory C

Acotllibll

m

....

ory

M;

•

81forl

1\8rting a calculation clear

the

memory

by

pressing

@1l!QI00

Key in:

12

rn

5~

Answer: 17

To

subtract

keV

in: 2

rn

5

~

Answer

to

this

Iquation:

7

Kev

in:

12

00

2

(!!Ql

DiD

5.

Formul.

Solution

in

thl

COMP MODE

Answer:

24

(Also lakes

plKI

of

10

in

memory)

To

solve

II

formulll using

the

memories as varillbies

In

the COMP MODE vou

must

first place

vour

villues

in

the

approp

rillte memories. Capacity

is

80

program steps for

plavback. (Refer

to

"Direct Formula

Entry"

for a clatailed discussion of steps.)

Kev

in: 1(gQ) m .2

(!!Ql

rn

.

and

3

.:!!Ql

W

Kevin

:

/ii!fflrnrn~rnrn~m0

Answer: 6

Klvin

:

'

~rnMC±J~mIEJC±JMmIEJ0

Answer: 14

Kev in: {Mode ·

DEGI'S]ffi~m

rn~~rnrnl!!BJ~~m

Answer:

1.069251013

u.

of

memories

in

I

formul.

£len

memory

of this

calcul.tor

has.

storage

c.pecity

of 12 digits for m.ntilSll

.nd

of

2 digill for

exponent.

(11

In

the

entry

01

• formul

•.

pUShing

th.

~

CD

-

~

m .

~OO

recalls.

numerical

v.lul

nored

in a clasignated

memory

and

Uleli

it when

the

inputted

formula

is

axtc

uted

for calculation.

121

In

tha

e

ntry

of

a formula pushing a

~

rn

-

~

m .

[@oo

recalls

a numerical value

nored

in

the designated

memory

and

writal

it

into

the

formula.

In this case

the

numerical value

is

wrillen Into the formula in accordance with

Ihe designation of the decimal system.

21

111

121

"

Example: 4 m 3

I!!Ql

W

-..

1.333333333

When

the

contents

of

the

memory

FIX

mode

,

TAB

- 2

2

~rnCKl

.....

2AX

_

3

[§J

....

8.00

Although

the

calculation

result

is

display·

ed

at

10

digits,

the

calculator

(memory

AI

retains

II numerical value wnose mantis$8 is

12

digits.

A is

designated

as variable

with

~

rn

(For

FIX

mode

and

TAB see Display

system

ano;!

decimal

plaC8$J.

When

memory

A

is

directly

designated, its

capacity

(mantissa -

12

d

igiu,

exponent

. 2

digits)

is

used

in

full.

When

the

contents

of

the

memory

A

is

written

with

~

rn

FIX

mode, TAB - 2

2

00~mOO

3

[§J

.....

2x1.33x

_

7,9S

'L

A numerjc::al valua

according

to

the

setting

·-

FIX

mOde. TAB -

2·-

is

entered

into

the

formula.

6.

Erro"

In

the case of

an

error,

the

"Er"

{Error!

and

"0,"

will

appear

in

the display. An error

will

be

caused

by

a

calculation

or

instruction

beyond

the

capacity

of

the

machine

or

by

an

ungrammatical

formula.

Correct

"Grammer"

is

discuss.ed

in

the

following

section.

An

error

can

be

cleared

by

the

em

or

(fi)

key.

Supplementary 3 - Error

Conditions!

1.

When

the

~bso

lute

valua

of

a

calculation

rll"$ult 1$ 1 X

10"'"

or

mor

e.

2.

When.

numbo",

Is

divi

de

d

by

0

(zero).

(A

+

0)

3.

When

the

ebs

olute

valua

of

a

result

of

memory

calculetion

is 1 X

10

100

or

more.

4.

When

8

formul

a

that

exceads

the

cap

ac

ity

of

function

(1S

-suga)

Or

data

(8

..., _ )

buff

er

II

u

sa

d

for

calcul

at

ion.

6.

For

sc

ientific

functions

an

error

occurs

whan

th

e calcula

tion

,

axc..,d

the

fo

ll

owing

r

anges:

CAL

CULATION

RANGE

•

Th

a a

ntry

Bnd

four

(

4)

arlthmatic

calculations:

1st,

2nd

operend:

i 1

J(

10

-"

-:I:

9.999999999

x

10"

and

0

Ca

lculation

r

es

ult:

1 x

10

-"

-9

.9999999

x

10",

~1

X1

0-

99

--

9.999999

J(

10

90

e

nd

0

Note'

In

the

above

calculetioo

r

aoge.

the

ca

lcul

a

tion

results

or

int

e

rm

a

diate

re

sults

are

tr

eated

or

d

isplayed

8$

0

(ze

r

o).

wheo

t

heir

absolu

ta

values

ar

a

below

1

><

1

0-

99

.

•

Scientific

and

special

functions:

Function

s D

yoamlc

raoge

DEG

:

Ixl<1><

1

0'0

RAD:

I I 7r l

'0

><

<

180

,,10

SIN

X

GRAD:

Ix

I

<.1Q..

x

10

'0

COS.

9

TAN

X In T A N

x,

however,

tha

followiog

caUls

a. e

exclude

d .

DEG:

Ixl-90(2o

- 1)

RAD:

Ixl

- ;

(2n

- 1) n -

integer

GRAO,

Ix

1-

10

0

(2n

- 1)

SIN

-'

x -,

~X~

1

COS-'

X

F

unctioos

Dyoamlc

<Bnge

T

AN

- ' •

Ixl<1><10'00

CN.

1

><

10-

99

f X < 1

><

1

0'00

L.OGx

" -,

><

1

0'00

< X <

230.2585092

,,' ,

x

10'00

< X <

100

y'

1

><

1

0'00

< X

log

y <

'"

,>,

(H

ere,

yX

_ 0 8t Y -

0)

Vi -

1><

10'00

<

.2...

tOgy

<

'"

,

y

:?:

o.

X

","0

~

I

xl

< 1

><

10'

'''

SINHx

COSHx

-

227.96692

42

~

x

~

230.2586092

TANHx

Function

s

Dynamic

,ange

Function

s

Dynamic

ranll8

SINH

-'

X 1X 1 < 1 "

10"

COSH

" X 1 :,; X < 1 x

10

" -

OEO

Ixl<

lxl0

''''

T

ANH"

X 1X 1 < 1

_O,MS

..r.

o

.s:

X < 1 x

10''''

z·

I

xl<1xl0·

x-'

I X I < 1 X

10'

"

X"

.,

0

:';

n

~

69

tn:

Intage'l

1 x 10" <

lxl<lxl0

·

Ixl<lx

l0

1O

lyl<1

"'0

10

I

I:x

I < 1 x

10'

'''

O.m

1:x'

< I "

10'

00

Statlllical

CO

I:£yl

<

,"

10'

"

ealculadon

I:y'

< 1 x

10'

"

- P

OL

1 x

10

"to

< I y I < 1 x

10"

Ix

: X

factor

, Y' y

facto.

1 I

I:xyl

< I x

10'"

In

I < 1 x

10'"

I X I < 1 x 1

0'"

-

X

...

-FIEC

Y

Is

In

Ihe.ame

condition

as X

of

SIN

x .

X :

Ma

gn

ituda

y:

DirectlQll

(phasa)

I

~

"

Function

,

DynBmlc

r""ge

Function.

Dyn

B

mic

r

ange

" •, ,

..

o <

1:x'

-

nx'

< 1

,,10'~

" , Sa

me

a.

-

'Y

x . sx.

ax

oy

"

.,

ox

1:x'

-

nx'

< I " 1

0'"

OS " "

.,

0<

l1:x'

-

ni'

1 < 1 " ,

0'"

StatlstiCBI "

.,

calculation

0<

I

(1:.x'

_

ni

') ' (1: y' _

ny

')

1<

1 "

10'"

l1:xy

-

1:x

'

1:,1::

I < 1 "

10'

"

, "

l1:xy

-

1:,,

"

1:,1::

1<'

" ' 0'

00

Statistical

b "

calculnion

I

"xy

1:", "

1:,l:'

1<

1)(

10

,00

"

h'

ni'

I

"xy

1:x '

1:,I::

I< ,

"

~

10,o0

V(1:x'

nx')

'

(1:y'

ny'

)

B

i.

t

he

s

am

..

condit

i

on

as

b,

and

•

ly

_

bi

l < , ,, 1O

'OO

Y 1a +

b"

I < 1 x 10'00

" "

Functions

Oyn.,..,lc

nnge

SUtlst

lcal I

1'';-'1<'

x

10'0.

c.lcul.tlon

x

Not.:

A

••

rule,

the

.

"or

of

functlon.1

calculnlon.

Is

181'

man

t.1

at

tl'l'

lownt

digit

of

a

dlsp

l

.y.d

num

..

Ic.1

v.lu.

In

th.

lownt

digit

of

m.ntl

...

In

th.

c

...

of

scl.nt;·

flc

notadon

syst.m)

within

th

e

above

calculnlon

range.

In

the

calcu

l.

t

lOn

of

S INH X

.nd

TANH

X.

X I

•••

Ingul

..

point

when

It

Is

0

(zero).

Nur

mls

point

Ih

••

" or

Is

accumul.ted,

r.duclng

the

8ccuracy.

End

of

Supplementary 3 - Error Condi

ti

ons

7.

Gra

m

".,.,

"

Multiplication

of

onlt

IIlIriabia

followed

by

anotl'l

..

is

MltQmuic.

Multiplication

of.

number

before

a 1IlI,;abie

;1

automatic.

Tl'la

,..

key

mey

be

used

as

anumbel',

Ex.

Set

EL·5

1

03

at

the

float

ing

deci

m

al

point

system.

Angular

mode:

OEG

Kay in:

2~rn, 3~rn,

200~

rn~rn~

An,we

, :

37.699

1

1184

If

the closing of a

pa

,e

nthelil

OCCUR

at

lhe

end

01

an

exp

r

ession,

it

il nOt

necessary

to

include

the

seconde

part

of

that

parenthesis-

CaIC\llatfll

4SIN30+

2

ca530

./2.

+

TAN

30

Key

in:

4 @ffi

30rnCD2~30GJ

CIJ

~1£)20000

rn!!!HI

30

C§]

Answe,:

2.345014014

Supplementary 4 - Grammatical Error Conditions

Wh

en

any

formula

uncapable

01

beinliCalcullted

has

bMn

solved:

IlCampla: (1)

A2.

1r3, (4 +5) 6

...

Some

c.lcul.'lon

command

II

omlttacl

81

th.

pi

"",

where

It

c.nnot

be

omlttltd,

'"

SIN'

loX

-'

5Y"1

COS~.

y.x

.:x+,

Ix.

Th,

c.lcul.tlon

of .x'

needs

to

be

c.lcul'l,d

In

ad

...

ane

.

In

orcle,

to

calculn.,

for

.x

....

pl.,

SIN'.

H

ow

.......

no

nu

m

..

lc.1 ....I

u.

to

be

used

II

pr

asent.

End

of

Supplementary 4 - Gramm

at

ica

l Erro

rs

"

8.

"Expression"

COtrllCtion end Editing

The

ftickering

cursor

is uiled

to

correct

~lnd

edit

expressionli.

•.

Conection

Kev in: 5

[£]

3

Q[J

2 G [!j!!] 30 0 Angular

mode:

OEG

Answer: 10.5

Pren

~

The

cursor

is

flashing over

the

-.

If

you

wish

to

change

the

multiplier

from

2

to

4, press

the

~

key 5 times until

it

covers

the

2;

now

press

4;

prtiJi

@]

flf

is

not

neceuary

to

mow

the

cursor

backl.

Answer.

16.5

To

change SIN

30

to

COS

45.

move the

cursor

to

over

the

SIN

end

press

[£Q§l

45

andCE]

Answer:

16.29289322

b.

[)eletion

Kev in:

12

rn

45

[!]

78

To change

the

45

to

5, press

the

cursor

( B I key 5 times until il covers

the

4,

and

press

~@ITl.

The

4 will disappear

and

all remlJining material in

the

display

will

shift

automatically

to

the

left.

c.

In.rtion

To

insert

materiel place

the

cursor

over

the

item

which

will follow Ihe ;n$ertion.

Multiple insertions

mav

be

made.

Kev in: m

00

m 4 CD 2 m Olsplay indicales err

or.

A

multiplication

sign

must

be

placed betvWiln

the

I

end

2.

Press

IDJ

key. Move

the

cursor

to

over

the 2. Press

~

@!!l

An

opening occurs

on

th

e display

and

all melerial fol-

lOwing

the

in$ertion

automatically

shifts

to

the

right.

PrIHS

00

and

m

Answer:

14.28318531

DIRECT FORMULA ENTRY (AER)

(ALGEBRAIC EXPRESSION RESERVE)

With

AER

a l

ormu

la

can

be

uored

as

an

elgabraic expression.

The

formula

. even

il

c

om

·

plicat

ed

is

entered

15

you

would

read

it.

Tha

rolling wri

ter

dot

metrix

liquid crystal

displ

aV

makes

it

pOSSible

to

enter

up

to

48

Sleps with

no

limit

on

characters.

"

1.

Formula

Entry

I

In

Section

5

01

the

discussion

on

the

CaMP

Mode, entering a formula was

demon

-

strated.

However,

if

It

was requi

red

to

do

other

calculations in

the

CaMP

MODE,

the

equation

would

be

lost.

To

retain a formula so tIlat we

ma

y use

It

over

and

over

thl

AER

Mod,

il used.

Put

the

calculator in

thl

AER

mode.

Clear tIla display by prlSSing

~@

(above

Red CL Key).

F

ormul.:

Al + al

Kly in:

~rnlElrn~rn(EJ

To

solve this

equation

move

the

modi! switch

to

CaMP. (Floating decimal

point

system)

Put

in ".Iues: 2 I!!2l A. 3 (E2I B

Press

~

Key

Ans_r:

13

Re

pl

ace

the

values; 4 (!!Ql A, S (!!Ql 8

Press

~

Ans

......

r:

41

Solve

the

equation:

S,,(X+8)

"60

for

X

Modi!: AER

Key

in:

~ ~

Note

that

in

the

AER

mode

a

comma

is

u$8d

to

end

en

equation

. Thl

~

CLJ

{Ibove l!ID I

keV1

produce

the

comma

in the AEA

modi

. A

serill

of

equations

using

thl

s-ame

Yarilbles

may

be

pieced

in

the

AER mOde.

Klyin

:

(lit

x "

AI

5

o:::J

~mrn8

m.~m

.

~

m

rn

1[!!Ql m

'r.~

c::!:JT

Move

the $Witch

to

CaMP

MODE

Press

the

~

key. Display: 60

And

Pr1!SI

t

.....

~

key again. Answer. 4 is

the

value of A

that

we

arl

seeking.

"

2.

FOtmu"

Entry

11

Dialogic

Form

"

The

second

procedure

for formula

entry

involves placing

an

~ation

inlO Ihe

calculator

at

a

function

of

the

IIiIriabies in

the

formula.

The

function

kev

ffi§

is

ebove

the

~

kev.

Start

with

the

!.!I0

key. follow

with

th

e variables. cl

O$&

with

the

!.!I0

key.

Solve 3

equations:

X'

+

yl,

23 X +

45

Y,

.JX

-LN Y

L.et

X - A, y- a

Mode:

AER

Key in: a.

~@

!.!I0

display

should

read f I

b.

~

rn

~

[II!.!I0

display

should

read

flAB)

-

in Oth... words, a

function

of

variabillS A

and

B

c.

[@lrnl£Jrnll!iflrn(!!)~GJ

23

~

rnrn

45

ll!ifI

rn~GJ~[£)~rn

G

UJi]~rn

Note

that

at

you

enter

the

2 in

the

second

equatio

n,

the

13

character

capacity

of

th

e

display is

exceeded.

The

rolling

writer

begins

and

III

each

additional

entry

is

made

en

.ntry

is

rolled

off

to

the

left

and

stored.

The

left

pointing

arrow

indicates informa-

tion

stored

10

the

left.

Change

to

the

COMP MODE I

Floating

de

cim

al

point

sys

te

mI

Prau

e!!l ;

the

display will

rMd

A - "

1"

Th

e flashing Y

IIIks

you

to

place in

II

~u

'

mbar

PUI

in 2

.....

..

.

..

Press

~

lind gat B ·

.,

?

Put in 3

Note

Ihllt in

the

AER

mode

twO VIIriabias

were

used,

ttI

erefore,

the

ealcuilitor will

n

Ot

ask for a value

of

C.

If

two

variabln

slH:h

as C

and

D had

bean

used,

the

calculator

would

have

only

a

ske

d

for

thesa.

Pre"

~

and

gat Answer: 13

Press

~

again

and

get Answer: 181

Press

~

again lind

gEll

Answer:

0.315601274

Only ttIr

..

equations

were

placed in

the

AER

Mode.

Prau

I§!!l

&gain

and

get A -

:.r

: again. New valuM may

now

be

put

in

for

A i

md

B.

If

you

push

~

without

entering e

numeral,

the

previous value is

retained.

"

Sharp EL-5103 User manual

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