Sharp EL-5100 User manual

SCIENTIFIC CALCULATOR MODEL EL-5100

(ELECTRONIC CALCULATOR) i
LIMITED WARRANTY: *
SHARP ELECTRONICS CORPORATION warrants th s product to the or gnal purchaser to be free from defect ve materals and workmansh p. Under th s warranty the ^
product w ll be repared or replaced, at our opt on, w thout charge for parts or labor, w th the except on of batter es, when returned to a SHARP CONSUMER $
FACTORY SERVICE CENTER l sted n the nstruct on booklet suppl ed w th your un t. ^
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normal servce or handl ng, nor to any products altered or repa red by other than a SHARP CONSUMER FACTORY SERVICE CENTER. Th s warranty does not apply %
to any product purchased outs de the Un ted States, ts terr tor es, or possessons. J
The per od of th s warranty covers one (1) year on parts and one (1) year on labor from date of purchase. J
Th s warranty ent tles the or g nal purchaser to have the warranted parts and labor rendered at no cost for the per od of the warranty descr bed above when the un t s I
carr ed or sh pped, prepad, to a SHARP CONSUMER FACTORY SERVICE CENTER together w th proof of purchase. {
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YOU. IN ADDITION, THIS WARRANTY GIVES SPECIFIC LEGAL RIGHTS, AND YOU MAY HAVE OTHER RIGHTS WHICH VARY FROM STATE TO STATE. }
FOR YOUR RECORDS ___
For your assstance n report ng th s electron c calculator n case of loss or theft, please record below the model number and ser al number wh ch are located on the
bottom of the un t.
Please reta n th s nformat on.
Model Number ______________________________________________ Seral Number_____________________________ __ _________________ ___________________
Date of Purchase _____________________________________ Place of Purchase___________ _ ________________________

OPERATIONAL NOTES
Thank you for your purchase of the SHARP scientific calculator, EL-51 .
Since the liquid crystal display is made of glass material, treat the calculator with care. Do not put the
" EL-51 " in your back pocket as it may be damaged when you sit down.
To insure trouble-free operation of your SHARP calculator, we recommend the following:
1. The calculator should be kept in areas free from extreme temperature changes, moisture and dust.
2. A soft, dry cloth should be used to clean the calculator. Do not use solvents or a wet cloth.
3. If the calculator will not be operated for an extended period of time, remove the batteries to avoid possible
damage caused by battery leakage.
4. If service of your calculator is required, use only an authorized SHARP Service Center.
5. Keep this manual for further reference.
Name label
Write your name on the attached name label and stick it on the back of the calculator.
1

CONTENTS
MODES Page
COMPUTATION M O D E..........................................4
1. Addition, Subtraction Playback .................... 4
2. Multiplication, Division ................................... 5
3. Scientific Functions ............................................. 12
4. Memory Calculations .......................................... 24
5. Store Memories.....................................................25
6. Formula Solution in the COMP mode ............ 25
7. Errors . ........................ 26
8. Grammer................................................................35
9. "Expression" correction and editing ............... 37
AER M O D E.............................................................39
1. Formula Entry I .................................................. 39
2. Formula Entry II Dialogic Form ......................... 41
2
Page
3. Law of Cosines ................................................ .43
4. Business Application ................................ .44
5. Lines ....................................................................... 46
6. Program Steps ....................................................... 47
STATISTICAL MODE .................. .49
2. Single Variable Statistics .................................... 51
3. Two Variable Statistics and Linear
Regression.............................................................52
THE K EY B O A RD ..................................................56
OPERATING CONTROLS .................................... 57
DISPLAY . ..................................................................69
SPEC IFICA TIO N S..................................................72
BATTERY REPLA CEM EN T ............................... 74

INTRODUCTION
This manual will introduce you to the Sharp EL-5100 scientific calculator. The EL-5100 is a new and
powerful computing instrument. t will provide you with formidable computing power in mathematical,
scientific, engineering and business calculations.
The EL-5100 provides direct entry of calculations and formulas as written. You will see as you follow through
this manual that the EL-5100 makes it unneccessary to learn a "machine language". After keying in a
formula, you will be able to visually edit, correct or test your inputs.
This nstruction Manual uses a new format and we would appreciate your comments. Each section may be
divided into basic and advanced material. The advanced material is labeled "supplementary". The
supplementary sections may be skipped without hampering your ability to operate the calculator. You may
wish to return to the supplementary sections as your skill in operating the EL-5100 increases.
3

MODES
Note the black mode switch on the lower right of your calculator. As you move the black switch from one
mode to another the name of the mode appears in the display. "AER" stands for Algebraic E pression
Reserve; "COMP" for computations; and "STAT" for statistical.
COMPUTATION MODE
Set the mode selector to "COMP" position.
1. Addition, Subtraction & Playbac
Key in the following:
12 CB 45.6 Q 32.1 [B 789 GEJ 741 C±] 213
Note that as you key in the "3" in 213, you have e ceeded the 24 character capacity of the display. At
this point a unique feature called "rolling writer" becomes effective. As each additional step is entered,

the display will roll to the left. The data rolled off the screen will be recorded up to 80 steps in the COMP
MODE. n arrow +■ will appear on the display indicating information now is stored in that direction.
Now press 1 = I
Your answer is 286.5
Now press 1 PBl (playback). You will get back in the display a portion of your original input to check
and/or edit. Press 1~pb] again to obtain the remainder of your inputs. Editing will be explained in
detail in a later section.
Sf you have placed material in the display and have not used the calculator for approximately seven
minutes, the calculator will go into ( PO) " utomatic Power Off"TM automatically to conserve battery life.
Be simply turning the calculator on all of your last inputs will return to the display.
2. Multiplication, Division
a. Key in the following:
841 586 C B .12 C=]
nswer: 4106883.333

b. Key in the following: 427 CB 54 S ] 32 CE 7 B 39 E l 2 t=D
Answer: 595.8571429
Note that ultiplication and division have priority to addition and subtraction.
Supplementary — 1 priority level
The achine, provided w ith a function that judges the priority level of individual calculations, per its keys to be operated
according to a given algebraic for ula. The follow ing shows the priority levei of individual calculations.
(1) (-)
(2) tr, Recall of e ory contents
(3) Single-ter function preceded by nu erals
(x2 , jc-1 , rt!,-* D E G ,->D .M S)
(4) Two-ter function such as 2 A Y * 3 , that is directly preceded by ultiplication cleared of “ X " instruction located just
before e ory or 7T.
(nCr, nPr, Yx, , ->P O L, ->R EC )
6

(5) M u ltip lica tion cleared o f " X " instruction located just before m em ory or rr.
(6) Single-term functio n follo ed by numerals.
(V , e *, 1 0 *, V , LN, LOG, SIN, COS, TA N , S ,N ' 1 ' COS‘ * ' T A N “ 1' SIN H , COSH, TA N H , S IN H ' 1 , C O SH ' 1 ,
T A N H '1 )
(7) T o-term function other than sho n in item (4) above.
(nCr, nPr, Y *, -P O L , -R E C )
(8) x,
(9) + , -
(10) =, M+, M - (2nd F M+), =*M, STO A ~ STO J as ell as Data, CD, (x, y ), ,.
• Calculations have p rio rity to others, hen parenthesized.
• Provided that fu nctions sho n in item (5) (6) above are successively designated in an algebraic form ula, calculations are
perform ed from the right to the left. The other function s are calculated from the left to the right.
Ex. ex s j SIN 60 - e * (s /~ (SIN 60))
aC bP c Y *D - (( aC b)Pc ) Y *D
Note: • Even in the case of (3), any "X" instruction cannot be om itted if it follo s a single-term fu n ctio n th at is preceded
by any num eric value.
c7

In case of VzA, press 2 13CM1| X II A ll~=~l keys in this order.
/6S!o|[A] 2 [I3Ca]C=]->-0.1 ~
\ 2 S 3 H J C 1 ] - 2.5 ± A
• ven in the case of (4), single-term function has priority, if it is directly preceded by two-term function in 2A Y X\J 3^
for instance.
x. \T ~ 2AYX>J 3 -* y/~ (2 x (A Y x (s/~3)))
As this machine is designed to execute an " xpression" according to a given algebraic formula, some of the instructions or
numerics included in the " xpression" can't be treated directly.
Therefore, they are temporarily stored in the built-in buffers and the rest is treated in advance.
This calculator has a 16-stage function buffer and 8-stage data buffer in it. When the calculation exceeds 16-stage in function
or 8-stage in data is performed, an error occurs.
x. (1) 2 + 3 x (\/ 1 0 * (4 - 1.6x2 =
Functional buffer : 8-stage
Data buffer 4-stage
8

(2) 4 2 + LOG (4 Y * 1.2 - 2.1 =
Functional buffer : -stage
Data buffe r 2-stage
• Instructions executable when read out in the course o f calculation are not stored in the fu n ction buffer.
(X2, x_1 , n!, — ► DEG, ->D .M S, =, M+, M -, =*M, STO, D A TA , CD, (x, y), f )
Ex. A ction of buffer in calculation o f
1.2 + A x (3. + SIN B) Y * 3 =
A = 2.4, B = 30, DEG
Instruction X register Data buffer Function buffer
1 stage 2 stage 3 stage 4 stage 1 stage 2 stage 3 stage 4 stage stage
1.2 1.2
+1.2 1.2 +
A2.4 1.2 +
X2.4 2.4 1.2 X+
(2.4 2.4 1.2 (X+
9

Instruction X register Data buffer Function buffer
1 stage 2 stage 3 stage 4 stage 1 stage 2 stage 3 stage 4 stage 5 stage
3.5 3.5 2.4 1.2 (X+
+3.5 3.5 2.4 1.2 +(X+
SIN 3.5 3.5 2.4 1.2 SIN +(X+
B30 3.5 2.4 1.2 SIN +(X+
)0.5 3.5 2.4 1.2 +(X+
4 2.4 1.2 X+
Y 44 2.4 1.2 Y X+
3 3 42.4 1.2 Y X+
=64 2.4 1.2 X+
153.6 1.2 +
154.8
X register: Calculation register
• Even if multiplication of memory and n is designated as cleared of "X" instruction, "X" instruction is stored in the func
tion buffer in the execution of calculations.
10

Ex. 2AB =
In case of A = 7, B = 12
Instruction X register Data buffer Function buffer
2 2
A72X
B12 72XX
= 8 2 X
168
In the above case memory and 7r are treated after once stored in the data buffer. Accordingly, m ultiplication cannot be
continuously performed beyond nine times.
If you want to perform m ultiplication successively 10 times or more, input " X " instruction.
Ex. 2ttABCDEABC = -► Error
2?rABCDEAB X CDE = -► Calculation is carried out.
• In calculation as SIN H , COSH, T A N H , T A N H ' 1 , and nCr, a data buffer is used with its capacity increased by one stage
for calculative aid.
End of Supplementary 1
11

3. Scientific Functions
Scientific Calculations are performed in the same manner as basic computations. As you will note in the
following examples, scientific functions are used as you would normally read them,
a. rigonometric functions
he angular mode is designated by the IprgI key. As you press this key the mode "DEG" "RAD''
"GRAD" will appear at the top of the display. Put the angular mode at "DEG".
Key in the following:
SIN 30 CB COS 40 [=D
Answer: 1.266044443
Put the angular mode at "RAD"
Key in: COS .25 7r □=□
Answer: 0.707106781
12

b. Inverse Trigonometric Functions and Second Function
The yellow key in the upper left of the calculator marked “2nd F" must be used to designate the
material appearing in orange above each key. hen this key is pressed, the designation “2nd F“ will
appear in the upper part of the display. If you press this key in error, press it a second time and the
“ 2nd F“ designation will disappear.
Put the angular mode at “ DEG“
Key in: (2nd F) Sin-1 .5 C=D
Answer: 30 (Remember to use the second function key to get the inverse)
Put the angular mode at “ RAD“
Key in: (2nd F) Cos"1 GED 1 C=D
Answer: 3.141592654 (Value of n)
13

c. Hyperbolic and Inverse Hyperbolic functions
When using the hyperbolic and arc hyperbolic functions "HYP" will appear in the top of the display.
Key in: [hyp) S N 4 □=□
Answer: 27.2899172
Key in: (2nd F) S N 9 f=~l
Answer: 2.893443986
d. Power Functions
Calculate: 202
Key in: 20 [x*\
Answer: 400
Calculate 33 and 34
Key in: 3 E 3 [= ] Key in: 3 f f l 4 [= ]
Answer: 27 Answer: 81
14

e. Roots
Calculate: y/25
Key in: IV" I 25 1 = 1
Answer: 5
Calculate: Cube root of 27
Key in: (2n F) E 3 27 Q=H
Answer: 3
Calculate fourth root of 81
Key in: 4 (2n F) HZ3 81 D=D
Answer: 3
15

f. Logarithmic Functions
Natural Logarithms: Key in: ILNl 21 (~=~l
Answer: 3.04452243
Common Logarithms: Key in: (2nd F) ILOGI 173 l = I
Answer: 2.23 046103
g. Exponential Functions
Key in: S *] 3.0445 (X ]
Answer: 20.99952 1 (21 as in item "f" above)
Key in: (2nd F) Qo*] 2.23 □=□
Answer: 172.9 16359 (173 as in item “f" above)
16

h. Reciprocals
Calculate: 1/6 + 1/7
Key in: 6 l x - ' l l + l 7 fx-11 l = l
Answer: 0.30 52381
i. Factorial
Calculate: 6 !
Key in: 6 (2nd F) ED ' (HQ
Answer: 1.711224524 x 10 8
Note that the Error section deals with the calculation limits of the calculator.
j. Permutations
Key in: 5 (2nd F) (HpE 3 C=D nPr=— -- ----
a ™ (n — r)!
Answer: 60
17

k. Combinations:
Calculate the number of combinations of nCr = ------ — ------
5 cards in a deck of 52. r’
Key in: 52 ncE 5 UK\
Answer: 2598960
l. Scientific Notation
If you wish to place a number into the calculator in scientific notation you must use the "Exp" key. If
you wish to convert from floating decimal to scientific notation, you must use the key If~e1 .
Calculate 1.2 x 1020 x 1.5 x 10s
Key in: 1.2 1*3 20 E 1.5 1*3 5 C=D
Answer: 1.8E25 (1.8 x 1025)
Calculate 1.992 x 1033 x 6.668 x 10"23
Key in: 1.992 [1*3 33 E 6.668 Iwl fF)1 23 E l
Answer: 1.3282656E11 (1.3282656 x 1011)