Friden 130 User manual

ronic

:

Calculator

.,OQ"

1

-

~~::';

J

I

, I

•·

...

....,,.,r

_

..

"II

x

Instruction

Manual

Price $2.00

Published

by

Friden, Inc.

Educational

Center

31

Prince

Street

Rochester, New

York

14607

OPERATING

INSTRUCTIONS

FOR

Friden

130

Electronic

Calculator

Copyright

1964

by Friden, Inc.

*A

Trademark

of

FRIDEN, INC.

FOREWORD

Operating the Friden Electronic Calculator 130 is like stepping into a new world

of

computing power for the desk calculator user. Through the magic

of

electronics, the

features

of

storage capacity, flexibility, speed, silence, and decimal control are advanced

to

a

level

never before attained.

Designed

to

meet the styling requirements

of

modern business, the Friden 130 is a

pleasant complement

to

any

office

decor.

The complete operating silence

of

this machine

eliminates disturbance

of

office

personnel and promotes efficiency.

This

machine is a solid-state device. These non-moving components are the secret

to

high-speed calculation.

Input

amounts and results

of

operation are visible instantly on

the face

of

a cathode ray tube after the entry or function key is operated. Intermediate

results are automatically retained

in

the upperregisters. Also, an amount or result

may

be

stored for further use

in

a memory unit.

A feather-touch eleven-key keyboard provides the means for numerical input. Function

keys placed adjacent

to

this section are arranged for operator convenience and ease

of

operation.

Accuracy

in

decimal point control is insured by a fixed

point

system, around which all

input

amounts and results are automatically aligned.

No

other programming is nec-

essary. The decimal

point

location can

be

manually selected for

five

different operating

situations according

to

the requirements

of

the work at hand.

The 130 Electronic Calculator is able

to

handle a wide range

of

business and scientific

applications

in

a logical and direct manner. The high

degree

of

flexibility permitted in

approaching problems makes this machine highly adaptable

to

arithmetic calculations

of

great variety.

TABLE

OF

CONTENTS

BASIC

OPERATIONS

Interest

Rate

on

Installment Loans 19

Register Display 1

Equal

Monthly

Payments

20

Keyboard 2

Installment

Payments

on Mortgages . ..

21

Operating Controls 3

Addition/Subtraction 5

MISCELLANEOUS

APPLICATIONS

MUltiplication Probability . 22

Without

Decimals . 6 Actuarial Problem .

23

With

Decimals 6

Probability-Life

Insurance

24

Accumulation

of

Products

Geometric Series

25

Positive 6

Standard

Deviation 26

Negative.

6

Chain Multiplication 6

ENGINEERING

APPLICATIONS

Division Volume

of

a Sphere 27

Without

Decimals . 7 Conversion

of

Denominate

Numbers.

28

With

Decimals 7 Area

of

a Sector

29

Addition

of

Quotients 7 Interpolation 30

Addition/Subtraction

of

Quotients . 7

Evaluating

an

Integral

. 31

Squaring a

Number

Evaluating

a Polynomial

Without

Decimals . 8

Method

#1

32

Accumulative Squaring 8

Method

#2

33

Negative Squaring 8

Determinants.

34

Calculating Algebraically . 9 Cosine

Law

36

Sequential Operations 10 Square

Root

38

The

Memory

Unit

11 Cube

Root

40

Raising

to

a Power 12 Overcapacity Problems 42

Accumulation

of

Products/Multipliers 13 Double Precision Multiplication . 43

Problems Involving Two

Constants

14

Index

45

BUSINESS

APPLICATIONS

CHARTS

AND

TABLES

Invoicing 15 1941 Commissioners

Standard

Individual/Accumulated Percentages 16 Ordinary Mortality

Table

24

Percentage Problems 17

Tangents

and

Cotangents 30

Simple

and

Compound

Interest

18

Cube

Root

Table

40

i

REGISTER

The

Friden

130 Electronic

Calculator

employs a

new

concept

in

computation.

Commonly

referred

to

as

the

"stacking"

principle,

it

permits

automatic

storage

of

intermediate

answers for

later

usage,

according

to

the

requirements

of

the

formula

being solved.

Four

13-digit registers

are

arranged

in

a

stack

as

follows:

1.

WORKING

REGISTER

(#

1).

The

bottom

register is

known

as

the

Working Register. All

entries

and

answers

appear

in

it. All

numbers

enter

the

Display

through

this

register

and

are

displaced

upwards

as

subsequent

entries

are

made.

2.

REGISTER

#

2.

One

number

of

an

arithmetic

#4

#3

#2

#1

DISPLAY

operation

appears

In

this

register,

the

other

appears

in

the

Working Register. When, how-

ever,

the

two

terms

appearing

in

these registers

are

combined

arithmetically

(added,

subtracted,

multiplied,

or

divided)

the

answer

appears

in

the

Working

Register.

Any

values which were

in

the

3rd

and

4th

registers

automatically

shift

down

one position.

3.

REGISTERS

# 3

and

#

4.

These

registers

are

used for storage

of

intermediate

answers.

This

"stack"

of

four registers,

then,

fills

and

empties

from

the

bottom

on

a

"first

in,

last

out"

basis.

If

a fifth

entry

is

made

with

all registers

full,

the

contents

of

Register # 4 "overflow"

off

the

top

and

are

lost.

1

KEYBOARD

AND

OPERATING

CONTROLS

6 7 8 9 10 11

1.

Over-Flow

Lock

8.

Keyboard

2.

Clear

Entry

Key

9.

Decimal

Point

Key

3.

Change

Sign

Key

10.

Plus

Key

4.

Enter

Key

11.

Recall

Key

5.

Repeat

Key

12.

Minus

Key

6.

Division

Key

13.

Store

Key

.

7.

Multiplication

Key

14.

Decimal

Point

Selector

15.

Clear

All

2

OPERATING

1.

OVER-FLOW

LOCK

KEY

-If

a

number,

en-

tered

in

Working

Register

# 1, is

beyond

the

left

of

decimal

capacity

of

the

selected

decimal

point

pro-

gram,

the

OVER-FLOW

LOCK

signal

lights

up.

For

example,

if

the

Decimal

Point

Selector

is

set

on

"7"

it

would

mean

that

six

digits

only,

can

be

indexed

in

the

keyboard

to

the

left

of

the

decimal

point.

(13

digits

capacity

minus

7

decimal

places

equals

6

digits

to

the

left

of

decimal.)

If

then

1,234,567.89 is indexed

on

the

keyboard,

the

OVER-FLOW

LOCK

signal

lights

up

upon

depression

of

the

ENTER

key.

There

is

one

other

situation

in

which

the

OVER-

FLOW

LOCK

signal

lights

up.

That

is,

where

an

answer exceeds

the

number

of

digits

to

the

left

of

the

selected

decimal

point

program.

Once

the

over-flow signal

light

is on, all

keys

are

locked

to

prevent

further

usage.

Touching

either

the

CLEAR

ENTRY

or

CLEAR

ALL

keys

will

turn

off

the

signal,

unlock

the

keyboard,

and

simul-

taneously

clear

the

affected registers.

The

key-

board

may

also

be

unlocked

merely

by

touching

the

OVER-FLOW

Lock

key

itself.

A Decimal Interlock is

provided

to

prevent

over-

loading

digits

to

the

right

of

the

decimal

point.

Assuming

a

decimal

selection

of

2,

then

only

two

digits

can

be

indexed

after

the

decimal

point

key

is

depressed.

The

third

and

subsequent

digits

are

automatically

disregarded.

2.

CLEAR

ENTRY-A

touch

of

the

CLEAR

ENTRY

key

will clear

Working

Register

# 1.

If

a

mistake

is

made

in

indexing a

number,

touch

the

CLEAR

ENTRY

key

and

proceed

with

the

problem.

3.

CHANGE

SIGN

Key-This

key

will

permit

calculations

with

algebraic sign changes. As

an

example

take

the

problem

23.45-

(-.895).

Use

of

the

CHANGE

SIGN

key

permits

entry

of

.895

CONTROLS

into

the

Working

Register

with

the

negative

sign

attached.

The

resultant

answer

will

appear

with

the

correct

sign. See

page

9 for

other

examples

of

this

feature.

4.

ENTER

KEY-When

a

number

is

indexed

in

the

keyboard

that

number

appears

immediately

in

Working

Register

#

1-but

without

the

decimal

point.

A

touch

of

the

ENTER

key,

then,

decimally

aligns

it.

All

function

keys

cause

decimal

align-

ment

also. Therefore,

when

using

such

keys

as

CHANGE

SIGN,

REPEAT,

and

RECALL,

it

is

not

necessary

to

touch

the

ENTER

key

first.

5.

REPEAT

Key-The

REPEAT

key

duplicates

the

contents

of

Register

# 1

in

Register

# 2.

The

most

common

applications

utilizing

this

feature

are

those

involving

squaring.

But

the

REPEAT

key

may

be

used

equally

well for

problems

involv-

ing

discounts,

commissions,

chain

discounts

and

compound

interest,

to

name

a few.

Squaring

is a

three

step

operation:

(1)

Index

the

number

(2)

Touch

the

REPEAT

key, (3)

Touch

the

Multipli-

cation

(X)

key.

6.

DIVISION

Key-A

touch

of

the

Divide

key

will

cause

the

contents

of

Register

# 2

to

be

di-

vided

by

the

contents

of

Register

# 1.

The

answer

will

appear,

decimally aligned

in

Register

# 1.

To

divide,

the

procedure

is

as

follows: (1)

Index

the

dividend

(2)

Touch

ENTER

key

(3)

Index

the

divisor (4)

Touch

the

Divide

(

--;-)

key.

If

the

Divide

key

is

depressed

with

nothing

in

the

Working

Register,

the

Display

goes

blank

and

the

machine

will

run

indefinitely

in

the

process

of

division.

Touch

the

CLEAR

ALL

key

to

restore

the

Display.

7.

MULTIPLICATION

Key-A

touch

of

the

MULTIPLICATION

key

will

cause

the

contents

of

Register

# 1

to

be

multiplied

by

the

contents

of

3

O

......

It

~

"',-ovv

OLifAR

I

-E N

TRV

1....Q

_0.1<

O"'

''N

QIt

'it

1(

:. N ·

KNT~R

J

l

napc

"

,.

X

Register

#

2.

The

produ

ct will

appear,

decimally

aligned,

in

Register

# 1.

To

multiply,

the

pro-

cedure

is

as

follows: (1)

Index

the

multiplicand

(2

)

Touch

ENTER

key

(3)

Index

the

multiplier

(4)

Touch

the

Multiplication

(X)

key.

8.

KEYBOARD-All

numbers

are

indexed

on

the

"11-key"

keyboard.

The

"11th"

key

is a

decimal

point

key.

As

a

number

is

indexed

on

the

keyboard

it

appears

in

Register

# 1,

digit

by

digit

from

the

right.

9.

DECIMAL

POINT

Key-The

De

c

imal

Point

key

must

be

depressed

whenever

a

number

with

a

decimal

point

in

it

is

indexed

in

the

keyboard

.

If

the

Decimal

Point

key

is

not

used,

the

machine

accepts

the

entry

as

a

whole

number.

So

456.78 is

indexed

as

4-5-6-decimal

point-7

-8.

And

678 is

indexed

as

6-7-8;

the

Decimal

Point

key

need

not

be

depressed

in

this

case.

10.

PLUS

Key-A

touch

of

the

PLUS

key

will

cause

the

contents

of

Register

# 1

to

be

added

to

the

contents

of

Register

#

2.

The

answer

will

appear,

decimally

correct,

in

Register

# 1.

To

add,

the

procedure

is

as

follows: (1)

Inde

x first

number

(2)

Touch

ENTER

key

(3

)

Index

(4)

Touch

PLUS

(+)

key.

Repeat

steps

# 3

and

4 for

subsequent

numbers

.

11.

RECALL

Key-The

RECALL

Key

re

calls

any

number

stored

in

the

Memo

ry

Unit.

The

4

CLlI!!AR

"'-L

I

~«~

1\

.

~

+

L-

~eOA~

1\

number

stored

may

be

repeatedly

recalled

to

Register

# 1 for

subsequent

operations.

12.

MINUS

Key-A

touch

of

the

MINUS

key

will

c

ause

the

contents

in

Register

# 1

to

be

sub-

tracted

from

the

contents

of

Register

#

2.

The

answer

will

appear,

decimally

c

orre

ct

in

Register

# 1.

To

subt

ract,

the

procedure

is

as

follows:

(1)

Index

the

first

number

(2)

Touch

ENTER

key

(3)

Index

the

sec

ond

number

(4)

Touch

the

MINUS

(-)

key

.

13.

STORE

Key-A

fifth register,

not

displayed,

is

provided

for

storage

of

a c

onstant

. A

touch

of

the

STOR;E

key

will

transfer

a

number

from

Register

# 1

to

the

Memory

Unit.

If

a

number

is

already

in

storage

,

it

replaces

the

old

number

with

the

new

one.

The

stored

number

may

be

recalled

as

often

as

desired.

14.

DECIMAL

POINT

SELECTOR-Automati

c

de

c

imal

c

ontrol

is

maintained

in

all

registers

in

keeping

with

the

numbe

r

of

de

c

imal

places

indi-

cated

on

the

de

c

imal

progr

ams

control

wheel.

The

re

are

five different

decimal

programs

avail-

able.

These

are

0, 2, 5, 7,

and

13.

To

eliminate

needless

shifting

of

the

Decim

al

Point

Selector,

most

pr

oblems

in

this

ma

nual

are

worked

over

a

5

pla

ce

de

c

im

al

prog

r

am.

15.

CLEAR

ALL

Key-A

touch

of

the

CLEAR

ALL

key

cle

ars

all r

egisters

-

including

the

Memory

Unit.

ADDITIONI

SUBTRACTION

GENERAL

INSTRUCTIONS

1. An

ON/OFF

switch

is

located

under

the

lower

right

corner

of

the

calculator.

Push

the

lever

back,

in

order

to

turn

the

machine

on.

The

Display

will

appear

in

a few seconds.

2.

Numbers

are

indexed

in

the

11-key

keyboard

just

as

they

are

written.

3.

If

an

error

is

made

in

indexing a

number,

touch

CLEAR

ENTRY

and

begin

over

again.

PROBLEMS:

4.

The

DECIMAL

POINT

key

is

used

in

all

cases-except

for whole

numbers.

For

example,

28.13 is

entered

as

2-8-decimal-1-3;

the

number

68 is

entered

as

6-8;

the

decimal

point

is

not

required.

5. Since all

entries

are

positive, a

CHANGE

SIGN

key

is

provided

to

make

these

entries

negative,

when

necessary. See

example

# 5 below.

6. Clearing is unnecessary

between

problems.

1.

Addition

without

Decimals. . . . . . . . . . . . . . . . . . . . . .

..

68 + 93 = 161

2.

Addition

with

Decimals.

. . . . . . . . . . . . . . . . . . . . . . . .

..

28.13 + 17.24 = 45.37

3.

Subtraction

with

True

Credit

Balance

...............

97.24 -118.43 =

-21.19

4.

Addition

and

Subtraction

..........................

15.243 +17.819 -23.147 = 9.915

5.

Subtracting

Algebraically. . . . . . . . . . . . . . . . . . . . . . . .

..

22.43 -

(-

32.46) = 54.89

SOLUTION

INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

N~,

M~

""".."u

Pom''''''''''''

_",,0

I

1. 68 +93 = 161.00000 68

IENTERI

93

r±J

2.28.13

+17.24 = 45.37000

28.13

IENTERI

17.24

r±J

3.97.24

-118.43 =

21.19000-

97.24

IENTERI

118.43

El

4. 15.243 +17.819 = 33.06200

15.243

I

ENTER

I

17.819

r±J

33.062 -23.147 = 9.91500

23.147

EJ

5.22.43

-

(-32.46)

= 54.89000

22.43

IENTERI

32.46

ICHANGE

SIGNI

El

5

MUL

TIPLICATION

PROBLEMS:

1.

Multiplication

without

Decimals

..................

12 X 24 = 288

2.

Multiplication

with

Decimals

...

,

.................

24.02 X .9401 = 22.5812

3.

Accumulation

of

Products

Positive

.....................................

(39.445 X 15.2) +(41 X .6) = 624.164

Negative

....................................

(3

X .14) -(.007 X 21) = .273

4.

Chain

Multiplication.

. . . . . . . . . . . . . . . . . . . . . . . . .

..

23.8 X 16.92 X .708 = 285.10876

SOLUTION

INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

N.",

Mo."

Dorim'"

P.,."o""",,,

_tionl

1. 12 X 24 = 288.00000 12

IENTERI

24

[8]

2. 24.02 X .9401 = 22.58120

24.02

I

ENTER

I

.9401

[8]

3. 39.445 X 15.2 = 599.56400

39.445

IENTERI

15.2

~

599.564 + (41 X .6) = 624.16400 41

IENTERI

.6

~[±]

3 X .14 = .42000 3

IENTERI

.14

[g]

.42 -(.007 X 21) = .27300

.007

IENTERI

21

[8]8

4. 23.8 X 16.92 = 402.69600

23.8

IENTERI

16.92

[8]

402.696 X .708 = 285.10876

.708

[8J

6

DIVISION

PROBLEMS:

1.

Division

without

Decimals.

. . . . . . . . . . . . . . . . . . . . . . . . .

..

145

-;-

12 = 12.08333

2.

Division

with

Decimals

...............................

4,962.184

-;-

13.2 = 375.92303

3.

Addition

of

Quotients.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . .

..

6:

3

4 +

7:':

= 64.63829

4

Add

··

/S b . f Q . 45 34.26 _ 17.76 =

1214820

.

ltIon

u

traction

0

uotIents....

. . . . . . . . . . . . . . .

..

3 + 12.1 3.125 .

SOLUTION

INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

N_,

M.w

u..ci,,",

P.'.,

",,",00'

00

,.."",.1

1. 145

-;-

12 = 12.08333 145

!ENTER!

12

EJ

2. 4,962.184

-;-

13.2 = 375.92303

4962.184

!ENTER!

13.2

El

624

3. -= 48.00000 624

!ENTER!

13 13

El

78.2

+- = 64.63829

78.2

IENTER!

4.7

EJl±J

45

4. -= 15.00000 45

!ENTER!

3 3

EJ

34.26

+

--

= 17.83140

34.26

!ENTERJ

12.1

Elr±J

17.76

-

--

= 12.14820

17.76

IENTERI

3.125

BEl

7

SQUARING

A

NUMBER

PROBLEMS:

1.

Accumulative

Squaring

without

Decimals.

. . . . . . . . . . . . . . . . . . . . . .

..

252 + 122 = 769

2.

Accumulative

Squaring

with

Decimals..

78.232 + 26.352 = 6,814.25540

3.

Negative

Squaring

...................

34.1262 -18.292 = 830.05977

4.

Accumulative/Negative

Squaring.

. . .

..

18.1242 + 9.182 -15.232 -3.14162 = 170.92922

SOLUTION

INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

1. 252 = 625 25

N~,

Mo""

Doo;m.

Pm"'

"''"'~

w

""",,,"I

I

REPEAT

I

~

+12

2 = 769

12

IREPEATII29

[±]

2.

78.232 = 6119.9329

78.23

I

REPEAT

I

~

+26.35

2 = 6,814.25540

26.35

I

REPEAT

I

~

I±l

3. 34.1262 = 1,164.58387

34.126

I

REPEAT

I

5J

-18.29

2 = 830.05977

18.29

I

REPEAT

I[s]

El

4. 18.1242 = 328.47937

18.124

IREPEATI~

+ 9.182 = 412.75177

9.18

I

REPEAT

I

GSJ

[±]

-15.23

2 = 180.79887

15.23

I

REPEAT

I

~

B

-3.14162 = 170.92922

3.1416

I

REPEAT

I

~

B

8

CALCULATING

ALGEBRAICALLY

PROBLEMS:

1.

Minus

--;-

Minus

.................

(-147.12)

--;-

(-13.67)

= 10.76225

2.

Plus

X

Minus

X

Minus

..........

14.25 X

(-8.69)

X

(-2.63)

= 325.67947

3.

(Minus

--;-

Plus) -

(Plus

--;-

Minus)

[(-278.35)

--;-

9.035] -[843.7

--;-

(-28.001)]

=

-.6769

4.

Plus

X

Minus

--;-

Minus

..........

[97.14 X

(-8.754)

1

--;-

(-2.345)

= 362.62838

SOLUTION

INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

N~,

Mo~

D,,"mo

P.,.,

"""'''"

W

""",,,001

-147.12

ICHANGE

SIGNI

l.

= 10.76225

147.12

-13.67

I

CHANGE

SIGNI

B

13.67

2. 14.25 X

(-

8.69) =

-123.83250

14.25

IENTERI

8.69

I

CHANGE

SIGN

I

~

X

(-2.63)

= 325.67947

2.63

I

CHANGE

SIGNI

[R]

3.

-278.35

=

9.035

-30.80796

278.35

ICHANGE

SIGNI

9.035

B

( 843.7 )

-30.80796 -= - .67690

843.7

IENTERI

-28.001

28.001

I

CHANGE

SIGNI

EJ

4.97.14

X

(-8.754)

=

-850.36356

97.14

IENTERI

8.754

I

CHANGE

SIGNI

[RJ

-850.36356

ICHANGE

SIGNI

EJ

= 362.62838

2.345

-2.345

9

SEQUENTIAL

OPERATIONS

PROBLEMS:

10

1. (27.634 X 8.13)

-7-

23.45 9.58057

2.

(12.3 + 6.78) X 9.84 X 7.642 = 1347.93714

14.2 -6.07

3. 164 (14)3

13.1 X .

8.9

2 X 4.7 X .89 1.84547

SOLUTION

INDEX

IN

KEYBOARD

1. 27.634 X 8.13 = 224.66442

27.634

8.13

224.66442

--;-

23.45 = 9.58057

23.45

2. 12.3 +6.78 = 19.08

12.3

6.78

19.08 X

9.84

= 187.74720

9.84

187.74720 X (7.64)2 = 10,958.72896

7.64

14.2

Divide

by

(14.2 -6.07) = 1347.93714

6.07

3. 164

-7-

13.1 = 12.51908 164

13.1

Multiply

by

(1.4)3 = 34.35235

1.4

8.9

-7-

2 = 4.45

8.9

2

4.45 X

4.7

= 20.915

4.7

20.915 X .89 = 18.61435

.89

34.35235

18.61435 = 1.84547

TOUCH

CONTROL

KEYS

IN

SEQUENCE

No.,

M,~

"""mm

P".",,,,,,",,

"

-",.

I

IENTERI

[8]

EJ

IENTERI

[±]

lli]

I

REPEAT

IlXJ

[g]

\ENTER\

EJ

B

IENTERI

B

I

REPEAT

I I

REPEAT

I

~

[8J

~

IENTERI

B

[8J

EJ

THE

MEMORY

UNIT

GENERAL'

To

enter

a number into

the

Memory

Unit, index

that

number

into

the

keyboard

and

touch

the

STORE

key.

To

recall

the

number

from storage,

touch

the

RECALL

key.

The

number

entered

into storage remains

there

for subsequent usage.

It

will continue to remain

there

until

the

CLEAR

ALL key is touched,

or

another

number

is entered

into

storage.

PROBLEMS:

1.

CONSTANT

MULTIPLIER

$1.25 X

21

= 26.25

1.25 X 64 = 80.00

1.25 X 182 = 227.50

SOLUTION

2.

CONSTANT

DIVISOR

145

-;-

12.13 = 11.95383

214

-;-

12.13 = 17.64220

846

-;-

12.13 = 69.74443

3.

CONSTANT

DIVIDEND

164

-;-

18.92 = 8.66807

164

-;-

24.16 = 6.78807

164

-;-

2.013 = 81.47044

INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

No.,

...,.."""""" Pmn,

.........

__

I

1. 1.25 X 21 = 26.25

1.25

I

STORE

I

IRECALLI *

[g]

21

1.25 X 64 = 80.00 64 I

RECALL

I

[g]

1.25 X 182 = 227.50 182 I

RECALL

I

[2]

2. 145

-;-

12.13 = 11.95383 145 I

ENTER

I

12.13

I

STORE

II

RECALL

IB

214

-;-

12.13 = 17.64220 214

IRECALLIB

846

-;-

12.13 = 69.74443 846 I

RECALL

IB

3. 164

-;-

18.92 = 8.66807 164 I

STORE

II

RECALL

I

18.92

B (Observe Answer) I

RECALL

I

164

-;-

24.16 = 6.78807

24.16

El

(Observe Answer) I

RECALL

I

164

-;-

2.013 = 81.47044

2.013

El

(Observe Answer)

*Depression

of

the

RECALL

key

will

cause

decimal

alignment

of

the

indexed

number

and

recall

of

the

constant

from

memory

in

one

operation.

11

RAISING

TO

A

POVVER

PROBLEMS:

1. 85 = 32,768

2.

Same problem; alternate method

3. (1.02)30 = 1.8113602

Law

of

Exponents

A

number

may

be easily raised

to

any

power

by

employing

the

"Laws ofExponents."*

The

follow-

ing laws are valid where m

and

n are

any

integers

(positive, negative,

or

zero).

1.

To

multiply,

add

exponents.

am X an = a(m+n)

2.

To

divide,

subtract

exponents.

am + an = a(m-n)

3.

To

raise

a power

to

a

power,

multiply

exponents.

(am)n = a

mn

4.

The

power

of

a

product

is

the

product

of

the

powers.

(a b)n = anbn

5. A

power

of

a

quotient

is

the

quotient

of

the

powers.

an

= bn

SOLUTION INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

N~'

.....

""""""

"""""""'''-1

1. 85 82 = 64 8 1

REPEAT

11STORE 1I

RECALL

1[29

83 = 512

IRECALLI[~

84 = 4,096 " "

85 = 32,768 " "

2. 82 = 64 8 1

REPEAT

I I

REPEAT

1

~

84 = 4,096

IREPEATI

~

85 = 32,768

L8J

3. (1.02)2 = 1.0404

1.02

1

REPEAT

1

~

1STORE 1I

RECALL

(1.02)4 = 1.0824321

IREPEATllliI

(1.02)8 = 1.1716592 " "

(1.02)

16

= 1.3727852 " "

(1.02)32 = 1.8845392 " "

(1:02)32 + (1.02)2 = (1.02)30 = 1.8113602

IRECALLIGJ

*From

G.

James

and

R.

C.

James,

Ed.,

MATHEMATICS

DICTIONARY.

Copyright

1949, 1959,

D.

Van

Nostrand

Co.,

Inc.,

Princeton,

New

Jersey.

12

ACCUMULATION

OF

PRODUCTS/MUL

TIPLIERS

PROBLEMS:

2.

X

X2

--

14

196

1.

64

X

44

=

2816

15

225

27

X

56

=

1512

16

256

38

X

65

=

2470

17

289

--

129

6798

18

324

-

80

1290

FIND:

1;X

80

1;X2

=

1290

SOLUTION

INDEX

IN

TOUCH

CONTROL

KEYS

KEYBOARD

IN

SEQUENCE

N~,

M~

"""""'

Pom.

--

'"

__

I

1. 64 X 44 = 2816 64 !REPEAT!

44

[8]

I

STORE

I

27 X 56 = 1512 27 IREPEAT!

56 [8] I

RECALL

I

GjISTOREI[8

38 X 65 = 6798

38

IREPEAT/

65

~

I

RECALL

I

GjISTORE/

Gj

The

sum

of

the

products

(6798)

appears

IRECALL/

in

Register

# 1.

The

sum

of

the

multipliers

(129)

appears

in

Register

# 2.

2. 142 = 196

14

I

REPEAT

II

REPEAT

/

~

l

STORE

+152 = 421 15 I

REPEAT

II

REPEAT

I

[2]

/RECALLI

GjISTOREIG8

+162 = 677

16

Same as step # 2

+172 = 966 17 Same as step # 2

+182 = 1290 18 Same as step # 2

I

RECALL

I

Read

:E

X (80)

in

Register

# 2

Read:E

X2 (1290)

in

Register

#1

13

PROBLEMS

INVOLVING

T'NO

CONSTANTS

PROBLEMS:

1.

(Kl

X 0.95) + (K2 X 0.65) = 25.345

2.

(Kl

X 0.85) + (K2 X 0.55) = 22.115

3.

(K

1 X .78) +

(K

2 X 0.56) = 21.278

INDEX

IN

Kl

= 14.5

K2

= 17.8

TOUCH

CONTROL

KEYS

SOLUTION

KEYBOARD

IN

SEQUENCE

N~,

Mo,.

""",,,ol

Po'o'

""""'"

..

,.,.."";

1.

Store

Kl

14.5

I

REPEAT

I *

Store

K2

17.8

ISTORE

I

(14.5 X 0.95) = 13.775

.95

[R]

+ (17.8 X 0.65) = 25.345

.65

IRECALLI~

tEl

2. Clear previous answer

ICLEAR

ENTRY

I I

REPEAT

I

(14.5 X 0.85) = 12.325

.85

~

+ (17.8 X 0.55) = 22.115

.55

I

RECALL]

~

[±]

3. Clear previous answer

ICLEAR

ENTRY

I I

REPEAT

I

(14.5 X 0.78) = 11.31

.78

~

+ (17.8 X 0.56) = 21.278

.56

IRECALL

I

~

[±]

*The

REPEAT

key

causes

duplication

of

the

contents

of

Working

Register

# 1

in

Register

# 2.

The

lower

value

may

be

used

for

a

first

operation.

The

upper

value

will

be

carried

for

subsequent

usage.

14

Friden 130 User manual

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