Sharp Calculator EL 500W User Manual

ESPAÑOL  
ENGLISH  
(reverso)  
Last answer memory (ANS)  
Priority Levels in Calculation  
This calculator performs operations according to the following  
priority:  
Determination of the Angular Unit  
In this calculator, the following three angular units (degrees,  
radians, and grads) can be specified.  
1.7  
10  
=
2
1.7 =  
3 @L + 5 @L=  
50.11872336  
34.  
DISPLAY  
When = is pressed, the calculation result will automati-  
2
cally be stored in the last answer memory.  
3
+ 5  
=
Symbol  
Q Functions expressed with numerical data placed before  
@? : Recalls the value stored in last answer  
@⁄ 32 + 3 @$  
(such as x-1, x2, n!)  
DEG (°)  
3
32 + 21 =  
memory.  
FRACTION/SCIENTIFIC CALCULATOR  
W yx, x  
E π  
y
21 =  
8.415778426  
2401.  
24.  
¿
Press G  
4
6+4 = ANS  
ANS + 5  
N 6 + 4 =  
10.  
15.  
(rad)  
GRAD (g)  
RAD  
7
=
7 @™ 4 =  
4 @!=  
10 @q 3 =  
5 @Q 2 =  
MODEL  
EL-500W  
R Functions expressed with numerical data placed after (such  
Exponent  
Mantissa  
+ 5 =  
as (–), sin, cos)  
4! =  
P
OPERATION MANUAL  
(All symbols will not be displayed simultaneously, as shown  
above.)  
T Multiplications with the sign “×” omitted from the front of a  
8 × 2 = ANS  
ANS  
8 * 2 =  
16.  
256.  
=
720.  
function (such as 3cos20)  
10  
3
2
@L=  
PRINTED IN CHINA / IMPRESO EN CHINA  
05BGK (TINSE0529THZZ)  
SCIENTIFIC CALCULATIONS  
Y nCr, nPr  
U ×, ÷  
: Appears when the entire equation cannot be  
displayed. Press </> to see the remaining  
(hidden) section.  
/
C
=
10.  
5
2
4 ÷ 5 = 0.8…(A) N 4 / 5 =  
4 × (A) + 60 ÷ (A) = 4 *@?+ 60 /  
@?=  
0.8  
Select the normal mode.  
I +, –  
π
– =  
3
@V/ 3 =  
1.047197551  
In each example, press N to clear the display before  
O Operations end commands (such as =, M+, %, DRG  
,
78.2  
2ndF : Appears when @ is pressed, indicating that the  
DATA, CD)  
performing the calculation.  
INTRODUCTION  
functions shown in orange are enabled.  
1
4
1
A parenthesized calculation section has precedence over  
other sections of the calculation.  
– + – =  
4 @• + 5 @•=  
0.45  
Arithmetic Operations  
SIMP : Indicates that a fraction can be simplified further, or  
5
Calculating the Greatest Common Factor (G.C.F.)  
Thank you for purchasing the SHARP Fraction/Scientific  
Calculator Model EL-500W. This calculator will help you  
understand mathematical concepts behind fraction calcula-  
tion, such as simplification and reduction.  
After reading this manual, store it in a convenient location  
for future reference.  
expressed with a lower denominator.  
or Least Common Multiple (L.C.M.)  
To calculate the G.C.F. or the L.C.M., the procedures are as  
follows:  
200 × 32% =  
200 * 32 @%  
64.  
50.  
DEG/RAD/GRAD: Indicates angular units (Degrees, Radians  
12+16×3=  
N 12 + 16 * 3 =  
60.  
INITIAL SETUP  
and Grads) and changes each time G is pressed.  
150 ÷ 300 = ?% 150 / 300 @%  
200 + (200 × 32%) = 200 + 32 @%  
300 – (300 × 25%) = 300 - 25 @%  
: Appears when statistical mode is selected.  
350–120÷4=  
350 - 120 / 4 =  
320.  
Mode Selection  
264.  
225.  
What is the G.C.F. N 24  
24_  
24GCF36_  
12.  
M
: Indicates that a numerical value is stored in the  
independent memory.  
72×(-12)–150=  
72 *– 12 - 150 =  
–1014.  
Normal Mode:  
of 24 and 36?  
36  
Operational Notes  
Used to perform arithmetic operations and function calcula-  
tions.  
(5+21)×(30–16)= ( 5 + 21 )*  
=
Do not carry the calculator around in your back pocket, as  
it may break when you sit down. The display is made of  
glass and is particularly fragile.  
Keep the calculator away from extreme heat such as on a  
car dashboard or near a heater, and avoid exposing it to  
excessively humid or dusty environments.  
Since this product is not waterproof, do not use it or store  
it where fluids, for example water, can splash onto it.  
Raindrops, water spray, juice, coffee, steam, perspiration,  
etc. will also cause malfunction.  
BEFORE USING THE CALCULATOR  
( 30 - 16 )=  
364.  
Random Numbers  
What is the L.C.M. N 15  
15_  
15LCM9_  
45.  
Statistical Mode:  
3
-4  
A pseudo-random number with three significant digits can be  
generated by pressing @`=. To generate the next  
random number, press =.  
(6×10 )÷(2×10 )= ( 6 E 3 )/  
of 15 and 9?  
9  
Key Notation Used in this Manual  
In this manual, key operations are described as follows:  
Used to perform statistical operations. To enter statistical  
mode, press @”. appears on the display to  
indicate that the statistical mode is selected. To return to  
normal mode, press @” with on the display.  
disappears as the calculator returns to normal mode.  
( 2 E– 4 )=  
30000000.  
=
To specify π : @V  
Constant Calculations  
Angular Unit Conversions  
Calculating Quotient and Remainder  
: Calculates the quotient and remainder.  
To specify Exp : E  
In constant calculations, the addend becomes a constant.  
Subtraction and division are performed in the same manner.  
For multiplication, the multiplicand becomes a constant.  
Each time @g are pressed, the angular unit changes  
To access functions printed in orange above keys, press @  
in sequence.  
The mode will remain selected when the calculator is turned  
off.  
first.  
23 ÷ 5  
(R: Remainder)  
N 23 @“ 5  
235_  
In this manual, number entry examples are shown with ordinary  
numbers (i.e., “100” will be indicated instead of “10  
0”).  
90°[rad]  
[g]  
[°]  
N 90 @g  
@g  
1.570796327  
100.  
=
4.  
2.  
R3.  
When executing mode selection, last answer memory will  
be cleared.  
Clean with a soft, dry cloth. Do not use solvents or wet  
cloth.  
245+60=  
12+60=  
N 245 + 60 =  
305.  
72.  
9.5 ÷ 4  
9.5 @“ 4  
9.54_  
@g  
90.  
N 212 + 60 =  
Do not drop it or apply excessive force.  
Never dispose of batteries in a fire.  
=
R1.5  
Scientific Notation  
Power On and Off  
–1  
sin 0.8 = [°]  
@S 0.8 =  
53.13010235  
0.927295218  
59.03344706  
53.13010235  
150–20=  
250–20=  
150 - 20 =  
130.  
230.  
–32 ÷ (–5)  
32 @“– 5  
–32–5_  
6. R–2.  
People who need to deal with very large and very small num-  
bers often use a special format called exponential or scientific  
notation.  
Press  
N
to turn the calculator on, and @F to turn it off.  
Keep batteries out of the reach of children.  
This product, including accessories, may change due to  
upgrading without prior notice.  
[rad]  
[g]  
[°]  
@g  
250 - 20 =  
=
@g  
Clearing Methods  
There are three clearing methods as follows:  
200÷4=  
180÷4=  
200 / 4 =  
50.  
45.  
Pressing cannot be followed by pressing a key for  
@g  
A number expressed in scientific notation has two parts. The  
first part consists of a regular decimal number between 1 and  
10. The second part represents how large or small the num-  
ber is in powers of 10.  
While a calculation result is displayed in the floating point  
system, press to display the result in the scientific  
notation system. Pressing once again will bring  
back the floating point system.  
180 / 4 =  
another operation such as (+, –, ×, ÷), otherwise an error  
will result.  
SHARP will not be liable nor responsible for any inciden-  
tal or consequential economic or property damage caused  
by misuse and/or malfunctions of this product and its  
peripherals, unless such liability is acknowledged by law.  
Clearing  
operation  
Entry  
(Display)  
M*1  
STAT, ANS*2  
Memory Calculations  
15×3=  
15×10=  
15 * 3 =  
45.  
150.  
The calculator can display a quotient or remainder up to 5  
digits in length, including the “–” sign. If numbers longer  
than 5 digits are entered, normal division is performed.  
This calculator has two memory allocations: independent  
memory (M), and last answer memory (ANS). You will find  
them especially useful when combinations of calculations be-  
come complicated, or when using the answer of previous  
calculation to another operations.  
15- 10 =  
N
×
×
×
@c  
RESET  
Functions  
Press the RESET switch (on the back) only in the follow-  
ing cases. Note that pressing the RESET switch erases  
all data stored in memory.  
For each example, press N to clear the display.  
FRACTION CALCULATIONS  
: Clear  
Independent memory M.  
× : Retain  
Before starting calculations, specify the angular unit.  
To enter a number in scientific notation, press E.  
1
*
*
Press NO to clear the independent memory (“M” sym-  
The results of inverse trigonometric functions are displayed  
within the following range:  
Before using for the first time  
After replacing the batteries  
To clear all memory contents  
If an abnormal condition occurs and all keys are inop-  
erative.  
Entering Fractions  
2
Statistical data and last answer memory.  
To clear the independent memory (M), press NO.  
bol will disappear).  
(1.2 × 1020) × (1.5 × 105)  
1.2  
E
20  
*
1.5  
E
5
=
1.8×10  
25  
To enter fractions, use the following keys:  
Ø : Places the symbol “ ” between the numerator  
and the denominator.  
Independent memory (M)  
θ = sin–1 x, θ = tan–1 x  
θ = cos–1 x  
/
3 ÷ 7 =  
Editing the Equation  
O : Stores the result in the memory.  
R : Recalls the value stored in the memory.  
@; : Adds the result to the value in the memory.  
[Floating point]  
N 3 / 7 =  
0.428571428  
–01  
DEG  
–90 ≤ θ ≤ 90  
0 ≤ θ ≤ 180  
Press < or > to move the cursor.  
To return to the equation after getting an answer, press  
< (>).  
: Separates the integer (whole number) part  
[Scientific notation] @´  
4.285714286×10  
π
π
If service should be required for the calculator, use only a  
SHARP servicing dealer, SHARP approved service facility,  
or SHARP repair service where available.  
from the fractional part of a mixed number.  
RAD  
≤ θ ≤  
0 ≤ θ ≤ π  
–01  
2
2
[TAB set to 2]  
@i 2  
4.29×10  
2
[Floating point]  
@´  
0.428571428  
To delete a number, place the cursor on the number to be  
deleted, then press d.  
GRAD  
–100 ≤ θ ≤ 100  
0 ≤ θ ≤ 200  
M
M
M
4– =  
N 2 Ø 3 =  
4 1 Ø 2 =  
2/3  
N 3 * 5 O  
30 +R=  
R* 4 =  
15.  
45.  
60.  
3
Hard Case  
30 + (3 × 5) =  
(3 × 5) × 4 =  
Use to switch to the scientific notation, press  
1
4– =  
2
To insert a number, move the cursor to the place immedi-  
ately after where the number is to be inserted, then enter  
the number.  
4¬1/2  
sin60[°]=  
Ns 60 =  
0.866025403  
0.707106781  
@i, then give a value between 0 and 9 to set the  
decimal placement. To reset, press @i 9.  
The number will be displayed in scientific notation if the  
floating point value does not fit in the following range:  
0.000000001 | x | 9999999999  
Gu(@V/ 4  
π
Up to 10 key strokes, including “¬” and “  
/
”, can be used  
M
M
M
M
20+10–5=  
121+13×2=  
+) 21×3–16=  
(Total)  
N 20 + 10 - 5 O  
121 + 13 * 2 @;  
21 * 3 - 16 @;  
R
25.  
147.  
47.  
cos–[rad]=  
4
)=  
to enter a fraction.  
15 + 8  
N 15 + 8  
15+8_  
G@T 1 =  
Calculating with Fractions  
Fractions can be incorporated into an arithmetic calculation.  
–1  
<<dd  
15_  
tan 1=[g]  
15 – 3  
The last decimal digit in scientific notation will be rounded  
off.  
G
50.  
2.995732274  
1.698970004  
20.08553692  
219.  
- 3  
15–3_  
NO  
SIMP” symbol will appear with a calculation result if the  
answer can be further simplified. Refer to the following sec-  
tion of this manual for details.  
ln 20 =  
@I 20 =  
@l 50 =  
@e 3 =  
13 × 24 =  
N 13 * 24 =  
312.  
log 50 =  
3
<(>)  
13×24  
e
=
15 × 24 =  
>d 5 =  
360.  
*
If = is pressed instead of a number entry, the least  
Correcting Entered Data  
Correction prior to pressing k:  
Delete incorrect data with N.  
1
1
Depth error (Error 3):  
BATTERY REPLACEMENT  
SPECIFICATIONS  
– + – =  
N 1 Ø 2 + 1 Ø 3 =  
5/6  
common denominator will automatically be displayed.  
2
2
3
1
The available number of buffers was exceeded. (There are  
8 buffers* for numeric values and 16 buffers for calculation  
Calculations:  
General arithmetic operations (add,  
subtract, multiply, divide, operations  
with constants, memory operations,  
fraction operations, function  
operations, statistical operations,  
etc.)  
Notes on Battery Replacement  
Improper handling of batteries can cause electrolyte leakage  
or explosion. Be sure to observe the following handling rules:  
Replace both batteries at the same time.  
Do not mix new and old batteries.  
Make sure the new batteries are the correct type.  
When installing, orient each battery correctly as indicated in  
the calculator.  
The factory-installed batteries may be exhausted before  
they reach the service life stated in the specifications.  
Conversion from/to a Fraction  
× – =  
2 Ø 5 * 1 Ø 3 =  
2/15  
5
3
instructions).  
* 4 buffers in STAT mode.  
Correction after pressing k:  
Press > to confirm the latest entry and press @J  
to delete it.  
º : Converts a decimal or improper fraction to a  
mixed fraction.  
Equation too long (Error 4):  
How to Simplify a Fraction  
Reducing to its simplest form  
If the result of pressing = is displayed with the “SIMP”  
symbol, the calculation can be reduced further. Use the  
ª key to set the factor of the fraction to simplify, either  
automatically or manually.  
The equation exceeded its maximum input buffer (159 char-  
acters). An equation must be shorter than 159 characters.  
æ : Converts a mixed fraction or decimal to an im-  
proper fraction. In some cases, a decimal may  
not be converted to a fraction.  
Calculating Statistical Quantities  
Internal calculations: Mantissas of up to 12 digits  
Pending operations:  
Calculation Ranges  
Score Number of  
Persons  
@c  
5.  
ø : Converts an improper fraction or a mixed frac-  
16 calculations 8 numeric values  
(4 numeric values in STAT mode)  
Within the ranges specified below, this calculator is  
accurate to 1 of the least significant digit of the man-  
tissa. However, a calculation error increases in con-  
30 § 5 k  
40 § 3 k  
50 § 10 k  
60 § 12 k  
70 § 13 k  
80 § 9 k  
90 § 7 k  
100 § 3 k  
@÷  
n =  
n =  
n =  
n =  
n =  
n =  
n =  
n =  
tion to a decimal.  
30  
40  
50  
60  
70  
80  
90  
100  
5
3
10  
12  
13  
9
8.  
5
6
Power source:  
3V (DC):  
4– =  
N 4 5 Ø 6 =  
4¬5/6  
4.833333333  
29/6  
[Automatic Simplification]  
18.  
30.  
43.  
52.  
59.  
62.  
tinuous calculations due to accumulation of each cal-  
Alkaline batteries  
(LR44 or equivalent) × 2  
[A.xxx]  
[A/B]  
ø
culation error. (This is the same for yx,  
, etc. where  
x
1
3
2
12  
SIMP 6/12  
When to Replace the Batteries  
¿
– + — =N 1 Ø 3 + 2 Ø 12 =  
æ
continuous calculations are performed internally.)  
Additionally, a calculation error will accumulate and  
become larger in the vicinity of inflection points and  
singular points of functions.  
ªFACTOR? SIMP 6/12  
Power consumption: 0.0006 W  
Operating time: Approx. 2000 hours, when  
If the display has poor contrast or nothing appears on the  
display even when N is pressed, it is time to replace the  
batteries.  
=*  
6_SIMP6/12  
1/2  
1 ÷ 3 =  
[A/B]  
1 / 3 =  
0.333333333  
1/3  
continuously displaying 55555. at  
25°C. (77°F)  
May vary according to usage and  
other factors.  
æ
=
7
3
Calculation range: 10–99  
~
9.999999999×1099 and 0.  
Caution  
65.32258065  
18.52935128  
18.37931358  
6 ÷ 5 =  
[A/B]  
B
[A / ]  
C
[A.xxx]  
6 / 5 =  
1.2  
12/10  
*
If you do not know a common factor, press =. The  
If the absolute value of an entry or a final or intermediate  
result of a calculation is less than 10–99, the value is consid-  
ered to be 0 in calculations and in the display.  
SIMP  
Fluid from a leaking battery accidentally entering an eye  
could result in serious injury. Should this occur, wash with  
clean water and immediately consult a doctor.  
Should fluid from a leaking battery come into contact with  
your skin or clothes, immediately wash with clean water.  
If the product is not to be used for some time, to avoid  
damage to the unit from leaking batteries, remove them and  
store in a safe place.  
@£  
greatest common factor “6” will be displayed.  
æ
SIMP  
@p  
º
1¬2/10  
Operating temperature: 0°C – 40°C (32°F – 104°F)  
External dimensions: 78.6mm(W) × 144mm(D)  
× 11.6 mm(H)  
[Manual Simplification]  
@n  
n =  
62.  
4050.  
285500.  
ø
1.2  
1
3
2
12  
– + — =N 1 Ø 3 + 2 Ø 12 =  
SIMP 6/12  
@z  
Σx =  
Function  
Dynamic Range  
2
5
1.25 + – =  
1.25 + 2 Ø 5 =  
1.65  
ªFACTOR? SIMP 6/12  
@w  
Σx  
=
2
sin x  
cos x  
tan x  
DEG : |x| < 1010  
(tan x : |x| 90(2n–1))*  
π
RAD : |x| < —– × 1010  
180  
3-3/32” (W) × 5-21/32” (D)  
× 15/32” (H)  
Approx. 75 g (0.17 lb)  
(Including batteries)  
Batteries × 2 (installed), operation  
manual, quick reference card and  
hard case.  
SIMP  
B
[A / ]  
C
2 =*  
SIMP 23/6  
1/2  
º
1¬65/100  
If both the resulting digits and the function name (such as  
Σx=) cannot be contained in the display, only the resulting  
value will be displayed; the function name will not be dis-  
played.  
ª==  
1¬13/20  
Weight:  
ª 3 =  
Do not leave exhausted batteries inside the product.  
Do not fit partially used batteries, and be sure not to mix  
batteries of different types.  
Keep batteries out of the reach of children.  
Exhausted batteries left in the calculator may leak and  
damage the calculator.  
π
*
“2” is entered as a factor, and the “SIMP” will be displayed  
to indicate further simplification of the fraction.  
If the entered value is not a common factor, the cursor will  
be set under the value. Press d to clear the value,  
then enter a correct common factor. Press N to return  
to the “FACTOR?” display.  
(tan x : |x| × (2n–1))*  
Accessories:  
2
STATISTICAL CALCULATIONS  
10  
9
GRAD : |x| < — × 1010  
Statistical Calculation Formulas  
To enter the statistical mode, press @”. The indicator  
(tan x : |x| 100(2n–1))*  
symbol will light up. The following statistics can be  
Σx2 – nx2  
Σx  
sin–1x  
cos–1x  
x =  
obtained:  
σx =  
n
|x| 1  
n
Explosion risk may be caused by incorrect handling.  
Do not throw batteries into a fire as they may explode.  
x
: Mean of samples  
Now that you have learned how to reduce a fraction to  
its simplest form, you can start using your calculator to  
perform fraction calculations quickly and efficiently.  
sx : Standard deviation of samples  
σx : Population standard deviation of samples  
n
FOR MORE INFORMATION  
Σx2 – nx2  
n – 1  
1
2
Σx = x + x + ··· + x  
n
tan–1x  
|x| < 10100  
10–99 x < 10100  
Σx2 = x 2 + x 2 + ··· + x  
2
sx =  
1
2
n
Replacement Procedure  
1. Turn the power off by pressing @F.  
Visit us on the Internet at:  
In x  
log x  
: Number of samples  
(n: number of samples)  
5
6
1
14  
Σx : Sum of samples  
– + — =N 5 Ø 6 + 1 Ø 14 =  
SIMP 38/42  
19/21  
Σx2: Sum of the squares of samples  
y > 0: –10100 < xlogy < 100  
.
=*  
In the statistical calculation formulas, an error will occur:  
2. Loosen both screws and remove the bat-  
tery cover.  
x
y
. y = 0: 0 < x < 10100  
the absolute value of the intermediate result or calculation  
Entering Data  
*
If = is pressed instead of ª, the number will  
automatically be reduced down to its simplest form with  
the greatest common factor.  
result is equal to or greater than 1 × 10100  
.
1
.
y < 0: x = n (0 < |x| < 1: – = 2n–1, x 0)*,  
To enter sample data, use the numeric keys and press  
k(O key) after each value.  
x
the denominator is zero.  
an attempt is made to take the square root of a negative  
number.  
–10100 < xlog |y| < 100  
3. Replace the old batteries with new, with  
the positive (+) sides facing up.  
To enter data with its frequency, use the numeric keys to  
enter the value, then press §(R key), enter the fre-  
quency, then press k.  
1
y > 0: –10100 < – logy < 100 (x 0)  
y = 0: 0 < x < 10  
.
.
.
Reducing to the lowest denominator  
x
100  
Prior to pressing the = key, a common denominator can  
x
¿y  
1
be set to organize calculations.  
y < 0: x = 2n–1 (0 < |x| < 1: – = n, x 0)*,  
4. Replace the battery cover and screws.  
5. Press the RESET switch on the back.  
ERROR AND CALCULATION RANGES  
x
1
–10100 < – log |y| < 100  
Enter the data “7” N@”  
x
1
1
4
– + – =  
N 1 Ø 3 + 1 Ø 4  
1/3+1/4_  
Errors  
@c 7  
7_  
–10100 < x 230.2585092  
–10100 < x < 100  
|x| < 1050  
Make sure that the display appears  
as shown. Otherwise, remove the  
batteries, reinstall, and check the dis-  
play again.  
3
x
e
ªDENOM.?SIMP 28/48  
An error will occur if an operation exceeds the calculation  
ranges, or if a mathematically illegal operation is attempted. If  
an error occurs, pressing < (or >) automatically moves  
the cursor back to the place in the equation where the error  
occurred. Edit the equation or press N to clear the equa-  
tion.  
k
n =  
1.*  
x
10  
48 =*  
16/48+12/48_  
SIMP 28/48  
There are 13 students @c 70 § 13  
70, 13_  
13.  
50, 5_  
18.  
x2  
¿x  
x–1  
n!  
=
who scored 70 in the  
k
n =  
n =  
0 x < 10100  
|x| < 10100 (x 0)  
*
Enter a common denominator of the two fractions.  
If the entered value is not a common denominator, the  
cursor will be set under the value. Press d to clear  
the value, then enter a correct common denominator.  
Press N to return to the “DENOM.?” display.  
Automatic Power Off Function  
This calculator will turn its power off automatically if no key is  
pressed for about 10 minutes.  
test, and 5 students 50 § 5  
who scored 50.  
k
0 n 69*  
Error Codes and Error Types  
*
The number of samples for the entered data will be dis-  
played.  
Entered data are kept in memory until @c or  
@” are pressed. Before entering new data, clear  
the memory contents.  
If the number of the sample values exceeds 999,999,999  
“n=” will not appear.  
When inputting a formula as a sample value with frequency,  
nPr  
nCr  
Syntax error (Error 1):  
0 r n 69*  
An attempt was made to perform an invalid operation.  
Now that you have learned how to reduce a fraction to  
its lowest denominator, you can start using your calcu-  
lator to perform fraction calculations quickly and effi-  
ciently.  
DEGRAD, GRADDEG : |x| < 10100  
Ex. 2 +- 5 =  
DRG  
π
RADGRAD : |x| < – × 1098  
Calculation error (Error 2):  
2
The absolute value of an intermediate or final calculation  
* n, r: positive integers  
result equals or exceeds 10100  
.
1
1
4
– + – =  
N 1 Ø 3 + 1 Ø 4  
1/3+1/4_  
3
parenthesize the data.  
An attempt was made to divide by 0.  
The calculation ranges were exceeded while performing  
calculations.  
ªDENOM.?SIMP 28/48  
Example: ( A * B frequency k  
=*  
=
=
12_SIMP 28/  
4/12+3/12_  
7/12  
48  
SHARP ELECTRONICS CORPORATION  
Sharp Plaza, Mahwah, New Jersey 07430-1163  
 

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