Sharp Calculator EL 520W User Manual

FIX/SCI/ENG: Indicates the notation used to display a value.  
Priority Levels in Calculation  
ENGLISH  
Operations are performed according to the following priority:  
DEG/RAD/GRAD: Indicates angular units.  
SCIENTIFIC CALCULATOR  
Q Fractions (1l4, etc.) W , engineering prefixes E Functions  
STAT  
: Appears when statistics mode is selected.  
preceded by their argument (x-1, x2, n!, etc.) R Yx,  
¿
T Implied  
x
M
?
: Indicates that a value is stored in the independent memory.  
multiplication of a memory value (2Y, etc.) Y Functions followed by  
their argument (sin, cos, etc.) U Implied multiplication of a function  
MODEL  
EL-520W  
:
Indicates that the calculator is waiting for a numerical  
value to be entered, such as during simulation calculation.  
OPERATION MANUAL  
(2sin30, etc.) I  
n
C
r
,
n
P
r
O ×, ÷ P +, { AND } OR, XOR, XNOR  
q =, M+, M, M, |DEG, |RAD, |GRAD, DATA, CD, rθ, xy  
and other calculation ending instructions  
: Appears when the calculator shows an angle as the result  
in the complex calculation mode.  
PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA  
04CGK (TINSE0730EHZZ)  
If parentheses are used, parenthesized calculations have prec-  
edence over any other calculations.  
i
: Indicates an imaginary number is being displayed in the  
complex calculation mode.  
INITIAL SET UP  
INTRODUCTION  
BEFORE USING THE CALCULATOR  
Thank you for purchasing the SHARP Scientific Calculator Model  
EL-520W.  
About the calculation examples (including some formulas and  
tables), refer to the reverse side of this English manual. Refer to  
the number on the right of each title in the manual for use.  
After reading this manual, store it in a convenient location for  
future reference.  
Mode Selection  
Key Notation Used in this Manual  
In this manual, key operations are described as follows:  
m0: Normal mode (NORMAL)  
m1: Statistic mode (STAT)  
m2: Equation mode (EQN)  
m3: Complex number mode (CPLX)  
To specify ex  
To specify ln :  
:
@e  
I
To specify F : Kü  
Functions that are printed in orange above the key require @ to  
be pressed first before the key. When you specify the memory,  
press K first. Numbers for input value are not shown as keys,  
but as ordinary numbers.  
Operational Notes  
SET UP menu  
Press to display the SET UP menu.  
A menu item can be selected by:  
moving the flashing cursor by using  
><, then pressing ® (= key), or  
pressing the number key corresponding to the menu item number.  
If or is displayed on the screen, press [ or ] to  
view the previous/next menu screen.  
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.  
TAB  
D0RG F1SE  
Keep the calculator away from extreme heat such as on a car  
dashboard or near a heater, and avoid exposing it to exces-  
sively 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.  
Clean with a soft, dry cloth. Do not use solvents or a wet cloth.  
Do not drop it or apply excessive force.  
Never dispose of batteries in a fire.  
Power On and Off  
Press ª to turn the calculator on, and @F to turn it off.  
Clearing the Entry and Memories  
Operation  
Entry  
(Display) F1-F4  
M
A-F, X, Y  
ANS STAT VAR*2  
STAT*1  
Press ª to exit the SET UP menu.  
[Determination of the Angular Unit]  
The following three angular units (degrees, radians, and grads) can  
be specified.  
ª
×
×
×
×
×
@c  
DEG (°) : Press ”00.  
RAD (rad): Press ”01.  
GRAD (g) : Press ”02.  
Keep batteries out of the reach of children.  
This product, including accessories, may change due to up-  
grading without prior notice.  
Mode selection  
@∏00*3  
@∏10*4  
RESET switch  
[Selecting the Display Notation and Decimal Places]  
Four display notation systems are used to display calculation re-  
sults: Floating point; Fixed decimal point; Scientific notation; and  
Engineering notation.  
When the FIX, SCI, or ENG symbol is displayed, the number of decimal  
places (TAB) can be set to any value between 0 and 9. Displayed  
values will be reduced to the corresponding number of digits.  
NOTICE  
SHARP strongly recommends that separate permanent  
written records be kept of all important data. Data may be  
lost or altered in virtually any electronic memory product  
under certain circumstances. Therefore, SHARP assumes  
no responsibility for data lost or otherwise rendered unusable  
whether as a result of improper use, repairs, defects, battery  
replacement, use after the specified battery life has expired,  
or any other cause.  
SHARP will not be liable nor responsible for any incidental 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.  
: Clear  
× : Retain  
1
*
*
*
*
Statistical data (entered data).  
x¯, sx, σx, n, Σx, Σx2, ¯y, sy, σy, Σy, Σy2, Σxy, r, a, b, c.  
2
3
4
All variables are cleared.  
This key combination functions the same as the RESET switch.  
[Setting the Floating Point Numbers System in Scientific Notation]  
Two settings are used to display a floating point number: NORM1  
(default setting) and NORM2. A number is automatically displayed  
in scientific notation outside a preset range:  
NORM1: 0.000000001 x 9999999999  
NORM2: 0.01 x 9999999999  
[Memory clear key]  
Press @∏ to display the menu.  
To clear all variables (M, A-F, X, Y, ANS,  
F1-F4, STAT VAR), press 00 or .  
To RESET the calculator, press 10 or .  
The RESET operation will erase all data stored in memory, and  
restore the calculator's default setting.  
MEM RESET  
0
1
o Press the RESET switch (on the back), with the tip of a ball-  
point pen or similar object, only in the following cases. Do not  
use an object with a breakable or sharp tip. Note that pressing  
the RESET switch erases all data stored in memory.  
SCIENTIFIC CALCULATIONS  
Entering and Correcting the Equation  
[Cursor keys]  
Press < or > to move the cursor. You can also return to  
the equation after getting an answer by pressing > (<).  
See the next section for using the [ and ] keys.  
See ‘SET UP menu’ for cursor use in the SET UP menu.  
Press m0 to select the normal mode.  
In each example, press ª to clear the display. If the FIX, SCI,  
or ENG indicator is displayed, clear the indicator by selecting  
NORM1from the SET UP menu.  
When using for the first time  
After replacing the batteries  
To clear all memory contents  
When an abnormal condition occurs and all keys are inoperative.  
Arithmetic Operations  
The closing parenthesis ) just before = or ; may be  
omitted.  
If service should be required on this calculator, use only a SHARP  
servicing dealer, SHARP approved service facility, or SHARP  
repair service where available.  
[Insert mode and Overwrite mode in the Equation display]  
Pressing @‘ switches between the two editing modes:  
insert mode (default); and overwrite mode. A triangular cursor  
indicates that an entry will be inserted at the cursor, while the  
rectangular cursor indicates to overwrite preexisting data as you  
make entries.  
To insert a number in the insert mode, move the cursor to the  
place immediately after where you wish to insert, then make a  
desired entry. In the overwrite mode, data under the cursor will  
be overwritten by the number you enter.  
Constant Calculations  
Hard Case  
DISPLAY  
In constant calculations, the addend becomes a constant. Sub-  
traction and division are performed in the same manner. For  
multiplication, the multiplicand becomes a constant.  
In the constants calculations, constants will be displayed as K.  
Functions  
Refer to the calculation examples of each function.  
Before starting calculations, specify the angular unit.  
The mode set will be retained until the next RESET operation.  
[Deletion key]  
Differential/Integral Functions  
To delete a number/function, move the cursor to the number/  
function you wish to delete, then press d. If the cursor is  
located at the right end of an equation, the d key will function  
as a back space key.  
Differential and integral calculations are only available in the nor-  
mal mode. For calculation conditions such as the x value in differ-  
ential calculation or the initial point in integral calculation, only  
numerical values can be entered and equations such as 22 cannot  
be specified. It is possible to reuse the same equation over and  
over again and to recalculate by only changing the conditions with-  
out re-entering the equation.  
Symbol  
Equation→  
Display  
Exponent  
Mantissa  
Multi-line Playback Function  
Previous equations may be recalled in the normal mode. Equations  
also include calculation ending instructions such as “=” and a maxi-  
mum of 142 characters can be stored in memory. When the memory  
is full, stored equations are deleted in the order of the oldest first.  
Pressing [ will display the previous equation and the answer.  
Further pressing [ will display preceding equations (after re-  
turning to the previous equation, press ] to view equations in  
order). In addition, @[ can be used to jump to the oldest  
equation.  
During actual use, not all symbols are displayed at the same time.  
Certain inactive symbols may appear visible when viewed from  
a far off angle.  
Only the symbols required for the usage under instruction are  
shown in the display and calculation examples of this manual.  
Performing a calculation will clear the value in the X memory.  
When performing a differential calculation, enter the formula first and  
then enter the x value in differential calculation and the minute interval  
(dx). If a numerical value is not specified for minute interval,  
x0 will be  
x
×105 and =0 will be 105 from the value of the numeric derivative.  
x
:
Appears when the entire equation cannot be displayed.  
Press to see the remaining (hidden) section.  
/
When performing an integral calculation, enter the formula first  
and then enter a range of integral (a, b) and subintervals (n). If a  
numerical value is not specified for subintervals, calculation will  
be performed using n=100.  
<
/>  
xy/rθ  
: Indicates the mode of expression of results in the com-  
plex calculation mode.  
To edit an equation after recalling it, press > (<).  
The multi-line memory is cleared by the following operations:  
@c, @F (including the Automatic Power Off fea-  
ture), mode change, memory clear (@∏), RESET, @  
`, K (R) ?, constant calculation, differential/inte-  
gral calculation, chain calculation, angle unit conversion, coordi-  
nate conversion, N-base conversion, numerical value storage to  
the temporary memories and independent memory, solver func-  
tion and simulation calculation.  
: Indicates that data can be visible above/below the  
screen. Press [/] to scroll up/down the view.  
Since differential and integral calculations are performed based on  
the following equations, correct results may not be obtained, in  
certain rare cases, when performing special calculations that con-  
tain discontinuous points.  
2ndF : Appears when @ is pressed.  
HYP  
: Indicates that h has been pressed and the hyper-  
bolic functions are enabled. If @H are pressed,  
the symbols “2ndF HYP” appear, indicating that inverse  
hyperbolic functions are enabled.  
 
ALPHA : Appears when  
K
(STAT VAR),  
O
or  
R
is pressed.  
Integral calculation (Simpsons rule):  
Fraction Calculations  
Arithmetic operations and memory calculations can be performed  
using fractions, and conversion between a decimal number and a  
fraction.  
b a  
N
N=2n  
axb  
1
3
——   
h=  
S=h{ƒ(a)+4{ƒ(a+h)+ƒ(a+3h)+······+ƒ(a+(N1)h)}  
+2{ƒ(a+2h)+ƒ(a+4h)+······+ƒ(a+(N2)h)}+f(b)}  
If the number of digits to be displayed is greater than 10, the  
number is converted to and displayed as a decimal number.  
dx  
2
dx  
2
f(x+––)f(x)  
Differential calculation:  
f(x)=————————  
dx  
Binary, Pental, Octal, Decimal, and Hexadecimal  
Operations (N-Base)  
[When performing integral calculations]  
Integral calculations, depending on the  
integrands and subintervals included, require  
longer calculation time. During calculation, Cal-  
culating!will be displayed. To cancel calcula-  
tion, press ª. Note that there will be greater  
integral errors when there are large fluctua-  
tions in the integral values during minute shift-  
ing of the integral range and for periodic func-  
tions, etc., where positive and negative inte-  
gral values exist depending on the interval.  
For the former case, divide integral intervals  
as small as possible. For the latter case,  
separate the positive and negative values.  
Conversions can be performed between N-base numbers. The  
four basic arithmetic operations, calculations with parentheses  
and memory calculations can also be performed, along with the  
logical operations AND, OR, NOT, NEG, XOR and XNOR on  
binary, pental, octal and hexadecimal numbers.  
y
Conversion to each system is performed by the following keys:  
x
a
b
(“ ” appears.), (“ ” appears.), @î  
x0 x1  
x2  
x3  
(“ ” appears.), (“ ” appears.), (“ ”, “ ”,  
y
and “ ” disappear.)  
x0  
x2  
b
Note: The hexadecimal numbers A F are entered by pressing  
ß, , L, ÷, l, and I, and displayed  
as follows:  
a
x
x1  
x3  
Following these tips will allow results of calculations with greater  
accuracy and will also shorten the calculation time.  
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.  
Random Function  
The Random function has four settings for use in the normal or  
statistics mode. (This function cannot be selected while using the  
N-Base function.) To generate further random numbers in succes-  
sion, press ®. Press ª to exit.  
The generated pseudo-random number series is stored in memory  
Y. Each random number is based on a number series.  
[Random Numbers]  
A pseudo-random number, with three significant digits from 0 up to  
0.999, can be generated by pressing @`0®.  
Time, Decimal and Sexagesimal Calculations  
Conversion between decimal and sexagesimal numbers can be  
performed, and, while using sexagesimal numbers, conversion to  
seconds and minutes notation. The four basic arithmetic opera-  
tions and memory calculations can be performed using the  
sexagesimal system. Notation for sexagesimal is as follows:  
[Random Dice]  
To simulate a die-rolling, a random integer between 1 and 6 can be  
generated by pressing @`1®.  
[Random Coin]  
To simulate a coin flip, 0 (head) or 1 (tail) can be randomly gener-  
ated by pressing @`2®.  
degree  
second  
minute  
[Random Integer]  
An integer between 0 and 99 can be generated randomly by press-  
ing @`3®.  
Coordinate Conversions  
Before performing a calculation, select the angular unit.  
Angular Unit Conversions  
Y
Y
P (x,y)  
P (r,θ)  
Each time @g are pressed, the angular unit changes in sequence.  
r
y
θ
X
X
Memory Calculations  
0
0
x
Rectangular coord.  
Polar coord.  
Mode  
ANS  
M, F1-F4  
A-F, X, Y  
The calculation result is automatically stored in memories X  
and Y.  
NORMAL  
STAT  
EQN  
×
×
×
×
×
Value of r or x: X memory  
Value of θ or y: Y memory  
×
CPLX  
Calculations Using Physical Constants  
: Available  
× : Unavailable  
See the quick reference card and the English manual reverse side.  
A constant is recalled by pressing ß followed by the number  
of the physical constant designated by a 2-digit number.  
The recalled constant appears in the display mode selected with  
the designated number of decimal places.  
[Temporary memories (A-F, X and Y)]  
Press O and a variable key to store a value in memory.  
Press R and a variable key to recall a value from the memory.  
To place a variable in an equation, press K and a variable key.  
Physical constants can be recalled in the normal mode (when not  
set to binary, pental, octal, or hexadecimal), equation mode, or  
statistics mode.  
[Independent memory (M)]  
In addition to all the features of temporary memories, a value can  
be added to or subtracted from an existing memory value.  
Press ªOM to clear the independent memory (M).  
Note: Physical constants and metric conversions are based either  
on the 2002 CODATA recommended values or 1995 Edi-  
tion of the Guide for the Use of the International System of  
Units (SI)released by NIST (National Institute of Stand-  
ards and Technology) or on ISO specifications.  
[Last answer memory (ANS)]  
The calculation result obtained by pressing = or any other  
calculation ending instruction is automatically stored in the last  
answer memory.  
No.  
Constant  
No.  
Constant  
01 Speed of light in vacuum  
02 Newtonian constant of  
gravitation  
03 Standard acceleration of  
gravity  
04 Electron mass  
05 Proton mass  
06 Neutron mass  
07 Muon mass  
08 Atomic mass unit-kilogram  
relationship  
09 Elementary charge  
27 Stefan-Boltzmann constant  
28 Avogadro constant  
29 Molar volume of ideal gas  
(273.15 K, 101.325 kPa)  
30 Molar gas constant  
31 Faraday constant  
32 Von Klitzing constant  
33 Electron charge to mass  
quotient  
34 Quantum of circulation  
35 Proton gyromagnetic ratio  
36 Josephson constant  
37 Electron volt  
38 Celsius Temperature  
39 Astronomical unit  
[Formula memories (F1-F4)]  
Formulas up to 256 characters in total can be stored in F1 - F4.  
(Functions such as sin, etc., will be counted as one letter.) Storing  
a new equation in each memory will automatically replace the  
existing equation.  
Note:  
Calculation results from the functions indicated below are auto-  
matically stored in memories X or Y replacing existing values.  
Random function ...... Y memory  
rθ, xy .................... X memory (r or x), Y memory (θ or y)  
10 Planck constant  
Use of R or K will recall the value stored in memory using  
11 Boltzmann constant  
12 Magnetic constant  
13 Electric constant  
14 Classical electron radius  
15 Fine-structure constant  
16 Bohr radius  
17 Rydberg constant  
18 Magnetic flux quantum  
19 Bohr magneton  
20 Electron magnetic moment  
21 Nuclear magneton  
22 Proton magnetic moment  
23 Neutron magnetic moment  
24 Muon magnetic moment  
25 Compton wavelength  
26 Proton Compton wavelength  
up to 14 digits.  
40 Parsec  
Chain Calculations  
41 Molar mass of carbon-12  
42 Planck constant over 2 pi  
43 Hartree energy  
The previous calculation result can be used in the subsequent  
calculation. However, it cannot be recalled after entering multiple  
instructions.  
44 Conductance quantum  
45 Inverse fine-structure constant  
46 Proton-electron mass ratio  
47 Molar mass constant  
48 Neutron Compton wavelength  
49 First radiation constant  
50 Second radiation constant  
51 Characteristic impedance of  
vacuum  
When using postfix functions (¿ , sin, etc.), a chain calculation is  
possible even if the previous calculation result is cleared by the  
use of the ª or @c keys.  
52 Standard atmosphere  
 
Variables and numerical values stored in the memories will be  
displayed in the variable input screen. To change a numerical  
value, input the new value and press ®.  
Performing simulation calculation will cause memory locations  
to be overwritten with new values.  
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.  
Metric Conversions  
See the quick reference card and the English manual reverse side.  
Unit conversions can be performed in the normal mode (when not  
set to binary, pental, octal, or hexadecimal), equation mode and  
statistics modes.  
Statistical Calculation Formulas  
No.  
1
Remarks  
: inch  
No.  
23 fl oz(US): fluid ounce(US)  
24 ml : milliliter  
25 fl oz(UK): fluid ounce(UK)  
Remarks  
in  
STATISTICAL CALCULATIONS  
Type  
Linear  
Exponential  
Logarithmic  
Power  
Regression formula  
2
3
cm  
ft  
: centimeter  
: foot  
y = a + bx  
y = a ebx  
y = a + b ln x  
y = a xb  
Press m1 to select the statistics mode. The seven statisti-  
cal calculations listed below can be performed. After selecting the  
statistics mode, select the desired sub-mode by pressing the number  
key corresponding to your choice.  
To change statistical sub-mode, reselect statistics mode (press  
m1), then select the required sub-mode.  
4
5
6
7
m
yd  
m
mile  
km  
: meter  
: yard  
: meter  
: mile  
26 ml  
27  
28 cal  
29  
30 cal15  
31  
: milliliter  
: Joule  
: calorie  
: Joule  
: Calorie (15n°C)  
: Joule  
J
J
1
y = a + b —  
x
8
: kilometer  
Inverse  
9
n mile : nautical mile  
J
Quadratic  
y = a + bx + cx2  
10  
m
: meter  
32 calIT  
33 hp  
: I.T. calorie  
: horsepower  
: watt  
0 (SD)  
: Single-variable statistics  
11 acre  
12 m2  
13 oz  
: acre  
: square meter  
: ounce  
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  
In the statistical calculation formulas, an error will occur when:  
34  
W
The absolute value of the intermediate result or calculation result  
35 ps  
: French horsepower  
: watt  
is equal to or greater than 1 × 10100  
The denominator is zero.  
.
14  
g
: gram  
36  
37  
W
15 lb  
16 kg  
17 °F  
18 °C  
: pound  
: kilogram  
: Degree Fahrenheit  
: Degree Celsius  
38 Pa  
39 atm  
40 Pa  
: Pascal  
: atmosphere  
: Pascal  
An attempt is made to take the square root of a negative number.  
No solution exists in the quadratic regression calculation.  
6 (INV)  
: Inverse regression calculation  
The following statistics can be obtained for each statistical calcula-  
tion (refer to the table below):  
19 gal (US) : gallon (US)  
20 : liter  
21 gal (UK) : gallon (UK)  
22 : liter  
41 (1 mmHg = 1 Torr)  
Normal Probability Calculations  
l
42 Pa  
43  
: Pascal  
P(t), Q(t), and R(t) will always take positive values, even when  
t<0, because these functions follow the same principle used  
when solving for an area.  
Single-variable statistical calculation  
Statistics of Q and value of the normal probability function  
l
44  
J
: Joule  
Values for P(t), Q(t), and R(t) are given to six decimal places.  
Calculations Using Engineering Prefixes  
Calculation can be executed in the normal mode (excluding N-  
base) using the following 9 types of prefixes.  
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´)  
SIMULTANEOUS LINEAR EQUATIONS  
Prefix  
Operation  
∑10  
∑11  
∑12  
∑13  
∑14  
∑15  
∑16  
∑17  
∑18  
Unit  
103  
Exponential regression, Logarithmic regression,  
Simultaneous linear equation with two unknowns (2-VLE) or with  
three unknowns (3-VLE) may be solved using this function.  
Q 2-VLE: m20  
W 3-VLE: m21  
If the determinant D = 0, an error occurs.  
k
(kilo)  
106  
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.)  
M
G
T
m
µ
n
p
f
(Mega)  
(Giga)  
(Tera)  
(milli)  
(micro)  
(nano)  
(pico)  
109  
1012  
103  
106  
109  
1012  
1015  
If the absolute value of an intermediate result or calculation result  
is 1 × 10100 or more, an error occurs.  
Coefficients ( a1, etc.) can be entered using ordinary arithmetic  
operations.  
Quadratic regression calculation  
(femto)  
To clear the entered coefficients, press @c.  
Pressing ® when the determinant D is in the display recalls  
the coefficients. Each time ® is pressed, a coefficient is  
displayed in the order of input, allowing the entered coefficients  
to be verified (by pressing , coefficients are displayed  
in reverse order.) To correct a particular coefficient being dis-  
played, enter the correct value and then press ®.  
Statistics of Q and W and coefficients a, b, c in the quadratic  
regression formula (y = a + bx + cx2). (For quadratic regression  
calculations, no correlation coefficient (r) can be obtained.) When  
there are two x´ values, press @≠.  
Modify Function  
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 nota-  
tion 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 converted to match  
that of the display, so that the displayed value can be used  
without change in subsequent operations.  
When performing calculations using a, b and c, only one numeric  
value can be held.  
¯x  
Mean of samples (x data)  
sx  
σx  
n
Sample standard deviation (x data)  
Population standard deviation (x data)  
Number of samples  
QUADRATIC AND CUBIC EQUATION SOLVERS  
Q
Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + cx + d = 0) equation  
may be solved using this function.  
Q Quadratic equation solver: m22  
Σx  
Sum of samples (x data)  
Sum of squares of samples (x data)  
Means of samples (y data)  
Solver Function  
The x value can be found that reduces an entered equation to “0”.  
Σx2  
W Cubic equation solver:  
m23  
¯y  
This function uses Newton’s method to obtain an approxima-  
tion. Depending on the function (e.g. periodic) or ‘Start’ value,  
an error may occur (Error 2) due to there being no convergence  
to the solution for the equation.  
Press ® after entering each coefficient.  
sy  
σy  
Σy  
Σy2  
Σxy  
r
Sample standard deviation (y data)  
Population standard deviation (y data)  
Sum of samples (y data)  
Sum of squares of samples (y data)  
Sum of products of samples (x, y)  
Correlation coefficient  
The result will be displayed by pressing ® after entering all  
coefficients. When there are more than 2 results, the next solu-  
tion will be displayed.  
When the result is an imaginary number, xysymbol will appear.  
The display can be switched between imaginary and real parts  
by pressing @≠.  
The value obtained by this function may include a margin of  
error. If it is larger than acceptable, recalculate the solution  
after changing ‘Start’ and dx values.  
Change the ‘Start’ value (e.g. to a negative value) or dx value  
(e.g. to a smaller value) if:  
W
a
b
c
Coefficient of regression equation  
Coefficient of regression equation  
Coefficient of quadratic regression equation  
no solution can be found (Error 2).  
more than two solutions appear to be possible (e.g. a cubic  
equation).  
COMPLEX NUMBER CALCULATIONS  
To carry out addition, subtraction, multiplication, and division using  
complex numbers, press m3 to select the complex number  
mode.  
Results of complex number calculations are expressed in two modes:  
Q @}: Rectangular coordinate mode (xy appears.)  
W @{: Polar coordinate mode (rθ appears.)  
Use K and R to perform a STAT variable calculation.  
to improve the arithmetic precision.  
The calculation result is automatically stored in the X memory.  
Data Entry and Correction  
Entered data are kept in memory until @c or mode selec-  
tion. Before entering new data, clear the memory contents.  
[Performing Solver function]  
Q Press m0.  
W Input a formula with an x variable.  
E Press ∑0.  
R Input ‘Start’ value and press ®. The default value is “0”.  
T Input dx value (minute interval).  
Y Press ®.  
[Data Entry]  
Single-variable data  
Data k  
Complex number entry  
Q Rectangular coordinates  
x-coordinate + y-coordinate Ü  
or x-coordinate y-coordinate  
W Polar coordinates  
Data  
Two-variable data  
Data x & Data y k  
&
frequency  
k
(To enter multiples of the same data)  
Data x & Data y & frequency k (To enter multiples  
of the same data x and y.)  
r Ö θ  
r: absolute value  
SIMULATION CALCULATION (ALGB)  
θ: argument  
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.  
On selecting another mode, the imaginary part of any complex  
number stored in the independent memory (M) will be cleared.  
A complex number expressed in rectangular coordinates with the  
y-value equal to zero, or expressed in polar coordinates with the  
angle equal to zero, is treated as a real number.  
If you have to find a value consecutively using the same formula,  
such as plotting a curve line for 2x2 + 1, or finding the variable for  
2x + 2y =14, once you enter the equation, all you have to do is to  
specify the value for the variable in the formula.  
Usable variables: A-F, M, X and Y  
Unusable functions: Random function  
Press ∑0 to return the complex conjugate of the speci-  
fied complex number.  
Simulation calculations can only be executed in the normal  
mode.  
[Data Correction]  
Correction prior to pressing k immediately after a data entry:  
Delete incorrect data with ª, then enter the correct data.  
Calculation ending instructions other than  
=
cannot be used.  
ERROR AND CALCULATION RANGES  
Performing Calculations  
Q Press m0.  
W Input a formula with at least one variable.  
E Press @≤.  
R Variable input screen will appear. Input the value of the flashing  
variable, then press ® to confirm. The calculation result will  
be displayed after entering the value for all used variables.  
Correction after pressing k:  
Errors  
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.  
An error will occur if an operation exceeds the calculation ranges,  
or if a mathematically illegal operation is attempted. When 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 ª to clear the equation.  
Only numerical values are allowed as variables. Input of  
formulas is not permitted.  
Upon completing the calculation, press @≤ to per-  
form calculations using the same formula.  
 
Make sure that the display appears as shown below. If the  
display does not appear as shown, remove the batteries, rein-  
stall them and check the display once again.  
Error Codes and Error Types  
Syntax error (Error 1):  
An attempt was made to perform an invalid operation.  
Ex. 2 @{  
(Fig. 1)  
(Fig. 2)  
Calculation error (Error 2):  
The absolute value of an intermediate or final calculation result equals  
or exceeds 10100  
.
An attempt was made to divide by 0 (or an intermediate calculation  
resulted in zero).  
The calculation ranges were exceeded while performing calculations.  
Depth error (Error 3):  
Automatic Power Off Function  
This calculator will turn itself off to save battery power if no key is  
pressed for approximately 10 minutes.  
The available number of buffers was exceeded. (There are 10 buffers*  
for numeric values and 24 buffers for calculation instructions).  
*5 buffers in STAT mode and complex number mode.  
Data items exceeded 100 in the statistics mode.  
SPECIFICATIONS  
Equation too long (Error 4):  
The equation exceeded its maximum input buffer (142 characters).  
An equation must be shorter than 142 characters.  
Calculations:  
Scientific calculations, complex number  
calculations, equation solvers, statistical  
calculations, etc.  
Mantissas of up to 14 digits  
24 calculations 10 numeric values  
(5 numeric values in STAT and complex  
number mode)  
Built-in solar cells  
3 V (DC):  
Backup batteries  
Equation recall error (Error 5):  
The stored equation contains a function not available in the mode  
used to recall the equation. For example, if a numerical value with  
numbers other than 0 and 1 is stored as a decimal, etc., it cannot be  
recalled when the calculator is set to binary.  
Internal calculations:  
Pending operations:  
Memory over error (Error 6):  
Power source:  
Equation exceeded the formula memory buffer (256 characters in total  
in F1 - F4).  
(Alkaline batteries (LR44) × 2)  
Calculation Ranges  
Operating temperature: 0°C 40°C (32°F 104°F)  
External dimensions:  
Within the ranges specified, this calculator is accurate to  
1
79.6 mm (W) × 154.5 mm (D) × 13.2 mm (H)  
of the least significant digit of the mantissa. However, a  
calculation error increases in continuous calculations due  
3-1/8(W) × 6-3/32(D) × 17/32(H)  
Weight:  
Approx. 97 g (0.22 lb)  
to accumulation of each calculation error. (This is the same  
(Including batteries)  
x
for yx,  
, ex, ln, etc., where continuous calculations are  
¿
Accessories:  
Batteries × 2 (installed), operation  
manual, quick reference card and hard  
case  
performed internally.)  
Additionally, a calculation error will accumulate and become  
larger in the vicinity of inflection points and singular points  
of functions.  
Calculation ranges  
FOR MORE INFORMATION ABOUT  
SCIENTIFIC CALCULATOR  
1099  
~
9.999999999×1099 and 0.  
If the absolute value of an entry or a final or intermediate result of a  
calculation is less than 1099, the value is considered to be 0 in  
calculations and in the display.  
Visit our Web site.  
BATTERY REPLACEMENT  
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 properly as indicated in the  
calculator.  
Batteries are factory-installed before shipment, and may be ex-  
hausted before they reach the service life stated in the specifica-  
tions.  
Notes on erasure of memory contents  
When the battery is replaced, the memory contents are erased.  
Erasure can also occur if the calculator is defective or when it is  
repaired. Make a note of all important memory contents in case  
accidental erasure occurs.  
When to Replace the Batteries  
If the display has poor contrast or nothing appears on the display  
even when ª is pressed in dim lighting, it is time to replace the  
batteries.  
Cautions  
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 in 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.  
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.  
Explosion risk may be caused by incorrect handling.  
Do not throw batteries into a fire as they may explode.  
Replacement Procedure  
1. Turn the power off by pressing @ F.  
2. Remove the two screws. (Fig. 1)  
3. Slide the battery cover slightly and lift it to remove.  
4. Remove the used batteries by prying them out with a ball-point  
pen or other similar pointed device. (Fig. 2)  
5. Install two new batteries. Make sure the +side is facing up.  
6. Replace the cover and screws.  
7. Press the RESET switch (on the back).  
SHARP CORPORATION  
 
• • • •  
KRO;:?≥∆˚¬  
EL-520W  
(cosh 1.5 +  
ª(hu 1.5 +h  
s 1.5 )L=  
sinh 1.5)2 =  
20.08553692  
ª 8 * 2 OM  
24 /KM=  
KM* 5 =  
16.  
1.5  
80.  
24÷(8×2)=  
(8×2)×5=  
CALCULATION EXAMPLES  
ANWENDUNGSBEISPIELE  
EXEMPLES DE CALCUL  
EJEMPLOS DE CÁLCULO  
EXEMPLOS DE CÁLCULO  
ESEMPI DI CALCOLO  
@Ht( 5  
/ 7 )=  
5
tanh1=  
7
0.895879734  
2.995732274  
1.698970004  
20.08553692  
50.11872336  
ªOM  
0.  
450.  
250.  
35.  
ln 20 =  
log 50 =  
e3 =  
I 20 =  
$150×3:M1  
150 * 3 ;  
+)$250:M2 =M1+250 250 ;  
l 50 =  
)M2×5%  
RM* 5 @%  
@e 3 =  
1.7 =  
M
@:RM  
665.  
101.7  
=
$1=¥110  
¥26,510=$?  
$2,750=¥?  
110 OY  
26510 /RY=  
2750 *RY=  
110.  
241.  
302500.  
REKENVOORBEELDEN  
PÉLDASZÁMÍTÁSOK  
1
6 @•+ 7 @  
•=  
1
+ =  
6
7
0.309523809  
82 34 × 52 =  
8 ™  
4 * 5 L=  
2 - 3 ™  
PŘÍKLADY VÝPOČTŮ  
r=3cm (rY)  
3 OY  
@VKYL=  
3.  
2024.984375  
πr2=?  
28.27433388  
RÄKNEEXEMPEL  
1
4
12 3 4  
@•=  
LASKENTAESIMERKKEJÄ  
èêàåÖêõ ÇõóàëãÖçàâ  
UDREGNINGSEKSEMPLER  
24  
3
(12 )  
=
—— = 2.4...(A)  
24 /( 4 + 6 )=  
2.4  
6.447419591  
512.  
4+6  
3 *K?+ 60 /  
K?=  
83  
8 ÷=  
3×(A)+60÷(A)=  
32.2  
¿
49 4  
¿
81 =  
@⁄ 49 - 4 @$  
81 =  
πr2F1  
@VKYL  
O≥  
4.  
3.  
F1  
3.  
3
¿
27  
@# 27 =  
4 @!=  
4
3 OY  
R≥* 4 / 3 =  
V = ?  
37.69911184  
3
4! =  
24.  
CONTOH-CONTOH PENGHITUNGAN  
CONTOH-CONTOH PERHITUNGAN  
10P3 =  
5C2 =  
10 @q 3 =  
5 @Q 2 =  
500 * 25 @%  
120 / 400 @%  
720.  
10.  
500×25%=  
125.  
30.  
6+4=ANS  
ANS+5  
ª 6 + 4 =  
+ 5 =  
10.  
15.  
120÷400=?%  
8×2=ANS  
8 * 2 =  
L=  
16.  
256.  
[]  
500+(500×25%)= 500 + 25 @%  
625.  
280.  
ANS2  
13(5+2)=  
23×5+2=  
33×5+3×2=  
1  
2  
3  
ª 3 ( 5 + 2 )=  
3 * 5 + 2 =  
3 * 5 + 3 * 2 =  
@[  
]
21.  
17.  
21.  
21.  
17.  
21.  
17.  
400(400×30%)= 400 - 30 @%  
44+37=ANS  
44 + 37 =  
@⁄=  
81.  
9.  
ANS=  
\|  
]
1
2
4
3
2  
[
b
c
3+ = [a]  
ª 3 \ 1 \ 2 +  
4 \ 3 =  
\
4 l5 l6 *  
4.833333333  
[a.xxx]  
[d/c]  
@|  
29 l6  
2
3
100000÷3=  
[NORM1]  
[FIX]  
[TAB 2]  
[SCI]  
=
2 \ 3 =  
4.641588834  
16807 l3125  
10  
ª 100000 / 3 = 33333.33333  
5
7
5
”10  
”2 2  
33333.33333  
=
7 \ 5 5 =  
(
(
)
33333.33  
”11  
”12  
”13  
3.33 ×10 04–  
1
3
1 \ 8 1 \ 3  
=
1
=
)
1 l2  
[ENG]  
[NORM1]  
33.33 ×10 03–  
33333.33333  
8
64  
—— =  
@⁄ 64 \ 225 =  
8 l15  
3÷1000=  
[NORM1]  
[NORM2]  
[NORM1]  
225  
23  
( 2 3 ) \  
( 3 4 ) =  
ª 3 / 1000 =  
”14  
0.003  
3. ×10 03  
0.003  
=  
34  
8 l81  
”13  
1.2  
—– =  
2.3  
1.2 \ 2.3 =  
12 l23  
θ = sin1 x, θ = tan1 x  
θ = cos  
x
1  
1°23”  
2
DEG  
90 ≤ θ ≤ 90  
0 ≤ θ ≤ 180  
+-*/()  
E
——– =  
1 o 2 o 3 \ 2 =  
1 E 3 \ 2 E 3 =  
0°311.5”  
π
π
RAD  
≤ θ ≤  
0 ≤ θ ≤ π  
1×103  
45+285÷3=  
ª 45 + 285 / 3 =  
140.  
2
2
——– =  
1 l  
2
2×103  
GRAD  
100 ≤ θ ≤ 100  
0 ≤ θ ≤ 200  
18+6  
=
( 18 + 6 )/  
( 15 - 8 =  
158  
3.428571429  
A = 7  
ª 7 OA  
7.  
4
A
42×(5)+120=  
42 *  
5 + 120 =  
*
90.  
=  
4 \KA=  
4 l  
7
Åè  
1
*1 (5  
)
2
5
d/dx (x4 0.5x3 + 6x2) ªKˆ™ 4 - 0.5 K  
x=2  
dx=0.00002  
x=3  
dx=0.001  
1.25 + = [a.xxx]  
b
[a]  
c
1.25 + 2 \ 5 =  
1.65  
(5×103)÷(4×103)= 5 E 3 / 4 E  
ˆ÷+ 6 KˆL  
2 ®®  
® 3 ® 0.001 ®  
\
1 l13 l20  
3 =  
1250000.  
50.  
5
6
* 4 l5 l6 = 4—  
130.5000029  
82 (x2 5)dx  
ªKˆL- 5  
è 2 ® 8 ®®  
®®® 10 ®  
êûîìíãâ†ä  
àá  
34+57=  
45+57=  
34 + 57 =  
45 + 57 =  
91.  
102.  
n=100  
n=10  
138.  
138.  
DEC(25)BIN  
ª@í 25 @ê  
11001.b  
68×25=  
68 * 25 =  
1700.  
68×40=  
68 * 40 =  
2720.  
HEX(1AC)  
BIN  
PEN  
OCT  
DEC  
1AC  
@ê  
@û  
@î  
@í  
110101100.b  
3203.P  
654.0  
g
90°[rad]  
[g]  
[°]  
ª 90 @g  
@g  
1.570796327  
100.  
sutSUTVhH  
Ile¡•L÷⁄™  
$#!qQ%  
428.  
@g  
90.  
BIN(1010100)  
×11 =  
@ê( 1010 - 100 )  
* 11 =  
sin10.8 = [°]  
[rad]  
[g]  
@S 0.8 =  
@g  
53.13010235  
0.927295218  
59.03344706  
53.13010235  
10010.b  
sin60[°]=  
ªs 60 =  
0.866025403  
BIN(111)NEG  
ã 111 =  
1111111001.b  
@g  
π
”01u(  
cos [rad]=  
[°]  
@g  
@V/ 4 )=  
0.707106781  
50.  
HEX(1FF)+  
OCT(512)=  
HEX(?)  
1FF @î+  
512 =  
@ì  
4
1511.0  
349.H  
tan11=[g]  
”02@T 1 =  
”00  
• • • •  
• • • •  
 
• • • •  
2FEC–  
2C9E=(A)  
+)2000–  
1901=(B)  
(C)  
ªOM@ì 2FEC -  
2C9E ;  
2000 -  
1901 ;  
RM  
34E.H  
m0  
f(x) = x3–3x2+2  
Kˆ™ 3 - 3 K  
ˆL+ 2 @≤  
6FF.H  
A4d.H  
x = –1  
1
®
–2.  
x = –0.5  
@≤ 0.5  
®
1.125  
1011 AND  
101 = (BIN)  
ª@ê 1011 †  
101 =  
1.b  
A2+B2  
@⁄(KAL+  
KBL)@≤  
5A OR C3 = (HEX)  
5A ä C3 =  
db.H  
A = 2, B = 3  
A = 2, B = 5  
2 ® 3 ®  
@≤® 5 ®  
3.605551275  
5.385164807  
NOT 10110 =  
(BIN)  
@êâ 10110 =  
1111101001.b  
24 XOR 4 = (OCT)  
24 à 4 =  
20.0  
k&~£pnzw^  
¢PZWvrab©  
xy≠° (t, P(, Q(, R()  
B3 XNOR  
2D = (HEX)  
DEC  
B3 á  
2D =  
@í  
FFFFFFFF61.H  
159.  
DATA  
95  
80  
80  
75  
75  
75  
50  
x=  
σx=  
n=  
m10  
95 k  
80 k  
0.  
1.  
2.  
3.  
4.  
5.  
o_° (sec, min)  
12°3918.05”  
ª 12 o 39 o 18.05  
[10]  
@_  
12.65501389  
k
75 & 3 k  
50 k  
123.678[60]  
123.678 @_  
123°4040.8”  
3h30m45s +  
3 o 30 o 45 + 6 o  
6h45m36s = [60]  
45 o 36 =  
10°1621.”  
R~  
Rp  
Rn  
Rz  
Rw  
R£  
L=  
75.71428571  
12.37179148  
7.  
530.  
41200.  
13.3630621  
178.5714286  
1234°5612+  
1234 o 56 o 12 +  
0°034.567= [60]  
0 o 0 o 34.567 =  
1234°5647.”  
Σx=  
Σx2=  
sx=  
3h45m –  
3 o 45 - 1.69 =  
1.69h = [60]  
@_  
2°336.”  
0.884635235  
86400.  
sin62°1224= [10]  
24°[ ]  
s 62 o 12 o 24=  
24 o°2  
sx2=  
(95–x)  
( 95 -K~)  
/K£* 10  
+ 50 =  
1500[ ]  
0 o 0 o 1500 °3  
25.  
×10+50=  
sx  
64.43210706  
{},≠  
x = 60 P(t) ?  
t = –0.5 R(t) ?  
°1 60 °0)= 0.102012  
ª 6 @, 4  
@{[r]  
@≠[θ]  
°3 0.5  
)=  
0.691463  
  
x = 6  
y = 4  
r =  
θ = [°]  
7.211102551  
33.69006753  
7.211102551  
x
y
m11  
2 & 5 k  
k
0.  
1.  
2.  
2
5
@≠[r]  
2
5
14 @, 36  
@}[x]  
@≠[y]  
@≠[x]  
12 24  
21 40  
21 40  
21 40  
15 25  
12 & 24 k  
3.  
r = 14  
θ = 36[°]  
x =  
y =  
11.32623792  
8.228993532  
11.32623792  
21 & 40 & 3 k  
15 & 25 k  
Ra  
4.  
5.  
1.050261097  
1.826044386  
0.995176343  
8.541216597  
15.67223812  
Rb  
Rr  
ß
R£  
V0 = 15.3m/s  
ª 15.3 * 10 + 2 @•*  
R¢  
t = 10s  
1
ß 03 * 10 L=  
643.3325  
V0t+ gt2 = ?m  
x=3 y=?  
y=46 x=?  
3 @y  
46 @x  
6.528394256  
24.61590706  
2
x
y
m12  
12 & 41 k  
8 & 13 k  
5 & 2 k  
23 & 200 k  
15 & 71 k  
Ra  
0.  
1.  
2.  
3.  
4.  
¥
12 41  
8
5
23 200  
15 71  
13  
2
125yd = ?m  
ª 125 5 =  
114.3  
5.  
(k, M, G, T, m, Ì, n, p, f)  
5.357506761  
3.120289663  
0.503334057  
100m×10k=  
100 ∑14*  
10 ∑10=  
Rb  
1000.  
R©  
x=10 y=?  
y=22 x=?  
10 @y  
22 @x  
@≠  
24.4880159  
9.63201409  
3.432772026  
9.63201409  
j”  
5÷9=ANS  
ANS×9=  
[FIX,TAB=1]  
ª”10”2 1  
5 / 9 =  
* 9 =*1  
@≠  
0.6  
5.0  
5 / 9 =@j  
* 9 =*2  
”13  
0.6  
5.4  
k[]  
DATA  
30  
m10  
30 k  
0.  
1.  
2.  
3.  
1
*
*
5.5555555555555×101×9  
40  
40  
50  
2
0.6×9  
40 & 2 k  
50 k  
(SOLV)  
DATA  
sin x0.5  
Start= 0  
ªsKˆ- 0.5  
∑0 0 ®®  
® 180 ®®  
30  
45  
45  
45  
60  
]]]  
45 & 3 k  
]
30.  
150.  
X2= 45.  
N2= 3.  
Start= 180  
] 60 k  
X3= 60.  
 
• • • •  
nPr  
m (CPLX)  
Σx2 nx2  
Σx  
0 r n 9999999999*  
σx =  
x =  
sx =  
y =  
n
n
m3  
n!  
—— < 10100  
(n-r)!  
Σx = x + x + ··· + x  
(12–6i) + (7+15i) –  
(11+4i) =  
12 - 6 Ü+ 7 + 15 Ü-  
( 11 + 4 Ü)= [x]  
@≠ [y]  
1
2
n
Σx2 nx2  
n 1  
Σx2 = x 2 + x 2 + ··· + x  
n
2
1
2
0 r n 9999999999*  
8.  
5.  
8.  
i
i
i
0 r 69  
+
nCr  
n!  
—— < 10100  
@≠ [x]  
Σy2 ny2  
Σy  
n
(n-r)!  
σy =  
n
6×(7–9i) ×  
6 *( 7 - 9 Ü)*  
DEG, D°M’S  
0°0’0.00001” | x | < 10000°  
x2 + y2 < 10100  
Σxy = x y + x y + ··· + x y  
(–5+8i) =  
( 5  
+ 8 Ü)= [x]  
222.  
606.  
1
1
2
2
n
n
i
i
Σy2 ny2  
n 1  
x, y r, θ  
Σy = y + y + ··· + y  
+
1
2
n
@≠ [y]  
sy =  
0 r < 10100  
Σy2 = y 2 + y 2 + ··· + y  
2
1
2
n
DEG: | θ | < 1010  
16×(sin30°+  
icos30°)÷(sin60°+  
icos60°)=  
16 *(s 30 +  
Üu 30 )/(s 60 +  
Üu 60 )= [x]  
π
r, θ → x, y  
RAD:  
| θ | < —– × 1010  
180  
13.85640646  
i
i
10  
GRAD : | θ | < — × 1010  
+
@≠ [y]  
8.  
9
y
DEGRAD, GRADDEG: | x | < 10100  
@{ 8 Ö 70 + 12 Ö 25  
A
DRG |  
π
98  
= [r]  
18.5408873  
RADGRAD: | x | <  
× 10  
i
i
r
r1  
2
@≠ [θ]  
42.76427608  
B
θ
θ1  
r2  
(A+Bi)+(C+Di)  
| A + C | < 10100, | B + D | < 10100  
| A – C | < 10100, | B – D | < 10100  
θ2  
x
(A+Bi)–(C+Di)  
r1 = 8, θ1 = 70°  
r2 = 12, θ2 = 25°  
(AC – BD) < 10100  
(A+Bi)×(C+Di)  
(AD + BC) < 10100  
AC + BD  
< 10100  
r = ?, θ = ?°  
C2 + D2  
(A+Bi)÷(C+Di)  
BC – AD  
< 10100  
(1 + i)  
r = ?, θ = ?°  
@} 1 +Ü=  
@{ [r]  
@≠ [θ]  
1.  
i
i
i
C2 + D2  
1.414213562  
C2 + D2 0  
45.  
DEC  
BIN  
PEN  
OCT  
HEX  
AND  
OR  
XOR  
XNOR  
DEC : | x | 9999999999  
BIN : 1000000000 x 1111111111  
0 x 111111111  
PEN : 2222222223 x 4444444444  
0 x 2222222222  
OCT : 4000000000 x 7777777777  
0 x 3777777777  
HEX : FDABF41C01 x FFFFFFFFFF  
0 x 2540BE3FF  
BIN : 1000000000 x 1111111111  
0 x 111111111  
PEN : 2222222223 x 4444444444  
0 x 2222222221  
OCT : 4000000000 x 7777777777  
0 x 3777777777  
HEX : FDABF41C01 x FFFFFFFFFF  
0 x 2540BE3FE  
BIN : 1000000001 x 1111111111  
0 x 111111111  
PEN : 2222222223 x 4444444444  
0 x 2222222222  
OCT : 4000000001 x 7777777777  
0 x 3777777777  
HEX : FDABF41C01 x FFFFFFFFFF  
0 x 2540BE3FF  
@}( 2 - 3 Ü)L  
= [x]  
@≠ [y]  
(2 – 3i)2 =  
5.  
12.  
i
i
x x  
t = ––––  
σx  
1
( 1 +Ü)@•= [x] 0.5  
@≠ [y]  
Standardization conversion formula  
Standard Umrechnungsformel  
Formule de conversion de standardisation  
Fórmula de conversión de estandarización  
Fórmula de conversão padronizada  
i
i
—— =  
1 + i  
0.5  
CONJ(5+2i)  
∑0( 5 + 2 Ü)= [x] 5.  
@≠ [y]  
i
i
2.  
Formula di conversione della standardizzazione  
Standaardisering omzettingsformule  
Standard átváltási képlet  
NOT  
NEG  
Vzorec pro přepočet rozdělení  
Function  
Funktion  
Fonction  
Función  
Função  
Funzioni  
Functie  
Függvény  
Funkce  
Funktion  
Funktio  
Dynamic range  
zulässiger Bereich  
Plage dynamique  
Rango dinámico  
Gama dinâmica  
Campi dinamici  
Rekencapaciteit  
Omvandlingsformel för standardisering  
Normituksen konversiokaava  
îÓÏÛ· Òڇ̉‡ÚËÁÓ‚‡ÌÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡ÌËfl  
Omregningsformel for standardisering  
Megengedett számítási tartomány  
Dynamický rozsah  
Rumus penukaran pemiawaian  
Rumus konversi standarisasi  
Definitionsområde  
Dynaaminen ala  
ÑË̇Ï˘ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ  
Dynamikområde  
m (2-VLE)  
îÛÌ͈Ëfl  
Funktion  
a1x + b1y = c1  
a2x + b2y = c2  
a1 b1  
a2 b2  
* n, r: integer / ganze Zahlen / entier / entero / inteiro / intero /  
D =  
geheel getal / egész számok / celé číslo / heltal /  
kokonaisluku / ˆÂÎ˚ / heltal /  
/
/
/
m20  
integer / bilangan bulat  
2x + 3y = 4  
5x + 6y = 7  
2 ® 3 ® 4 ®  
5 ® 6 ® 7  
® [x]  
Fungsi  
Fungsi  
Julat dinamik  
Kisaran dinamis  
DEG: | x | < 1010  
x = ?  
y = ?  
1.  
2.  
® [y]  
det(D) = ?  
® [det(D)]  
3.  
(tan x : | x | 90 (2n–1))*  
π
sin x, cos x,  
RAD:  
| x | < —– × 1010  
180  
π
2
tan x  
(tan x : | x | — (2n–1))*  
m (3-VLE)  
10  
GRAD: | x | < —– × 1010  
a1x + b1y + c1z = d1  
a2x + b2y + c2z = d2  
a3x + b3y + c3z = d3  
a1 b1 c1  
a2 b2 c2  
a3 b3 c3  
9
(tan x : | x | 100 (2n–1))*  
D =  
sin–1x, cos1x  
| x | 1  
tan1x, 3  
x
| x | < 10100  
1099 x < 10100  
¿
m21  
In x, log x  
x + y z = 9  
6x + 6y z = 17  
14x 7y + 2z = 42  
x = ?  
1 ® 1 ® 1  
6 ® 6 ® 1  
14 ® 7  
® [x]  
® [y]  
® 9 ®  
® 17 ®  
® 2 ® 42  
y > 0: 10100 < x log y < 100  
y = 0: 0 < x < 10100  
x
y
y < 0: x = n  
1
x
3.238095238  
1.638095238  
7.4  
(0 < l x l < 1: = 2n1, x 0)*,  
10100 < x log | y | < 100  
y = ?  
z = ?  
det(D) = ?  
® [z]  
® [det(D)]  
1
y > 0: 10100 < log y < 100 (x 0)  
x
105.  
y = 0: 0 < x < 10100  
x
¿y  
y < 0: x = 2n1  
1
x
(0 < | x | < 1 : = n, x 0)*,  
10100 < log | y | < 100  
m (QUAD, CUBIC)  
1
x
m22  
3 ® 4 ®  
®
x
3x2 + 4x 95 = 0  
x1 = ?  
x2 = ?  
95  
e
10100 < x 230.2585092  
x
10  
10100 < x < 100  
5.  
6.333333333  
5.  
sinh x, cosh x,  
tanh x  
sinh1 x  
cosh1 x  
tanh1 x  
x2  
®
| x | 230.2585092  
@®  
| x | < 1050  
1 x < 1050  
| x | < 1  
| x | < 1050  
| x | < 2.15443469 × 1033  
0 x < 10100  
| x | < 10100 (x 0)  
0 n 69*  
m23  
5x3 + 4x2 + 3x + 7 = 0 5 ® 4 ® 3 ® 7  
x1 = ?  
x2 = ?  
®
1.233600307  
i
®
0.216800153  
i
x3  
+
@≠  
®
1.043018296  
i
x
x1  
¿
x3 = ?  
0.216800153  
i
@≠  
1.043018296  
i
n!  
• • • •  
 
In Europe:  
Nur für Deutschland/For Germany only:  
Umweltschutz  
This equipment complies with the requirements of Directive 89/336/  
EEC as amended by 93/68/EEC.  
Das Gerät wird durch eine Batterie mit Strom versorgt.  
Um die Batterie sicher und umweltschonend zu entsorgen,  
beachten Sie bitte folgende Punkte:  
Dieses Gerät entspricht den Anforderungen der EG-Richtlinie 89/336/  
EWG mit Änderung 93/68/EWG.  
Bringen Sie die leere Batterie zu Ihrer örtlichen Mülldeponie,  
zum Händler oder zum Kundenservice-Zentrum zur  
Wiederverwertung.  
Ce matériel répond aux exigences contenues dans la directive 89/336/  
CEE modifiée par la directive 93/68/CEE.  
Werfen Sie die leere Batterie niemals ins Feuer, ins Wasser  
oder in den Hausmüll.  
Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG,  
gewijzigd door 93/68/EEG.  
Dette udstyr overholder kravene i direktiv nr. 89/336/EEC med tillæg  
nr. 93/68/EEC.  
Seulement pour la France/For France only:  
Protection de lenvironnement  
Lappareil est alimenté par pile. Afin de protéger  
lenvironnement, nous vous recommandons:  
Quest’ apparecchio è conforme ai requisiti della direttiva 89/336/EEC  
come emendata dalla direttiva 93/68/EEC.  
dapporter la pile usagée ou à votre revendeur ou au service  
après-vente, pour recyclage.  
de ne pas jeter la pile usagée dans une source de chaleur,  
dans leau ou dans un vide-ordures.  
ꢀ ꢁꢂꢃꢄꢅꢆ ꢅꢄ ꢇ ꢄꢈꢅꢉ ꢄꢊꢅꢄꢋꢌꢃꢍꢎꢊꢁꢅꢄꢏ ꢅꢏꢐ ꢄꢋꢄꢏꢅꢉ ꢁꢏꢐ ꢅꢑꢊ  
ꢌꢒꢇꢂꢏꢓꢊ ꢅꢇꢐ ꢔꢈꢍꢑꢋꢄꢕꢃꢉꢐ ꢔꢊꢑ ꢇꢐ 89/336/ꢔꢖꢗ, !ꢋꢑꢐ ꢌ  
ꢃꢄꢊꢌꢊꢏ "!ꢐ ꢄꢈꢅ!ꢐ ꢈ"ꢋ#ꢇꢍꢓ$ꢇꢃꢁ ꢄꢋ! ꢅꢇꢊ ꢌꢒꢇꢂꢎꢄ 93/68/ꢔꢖꢗ.  
Este equipamento obedece às exigências da directiva 89/336/CEE na  
sua versão corrigida pela directiva 93/68/CEE.  
Endast svensk version/For Sweden only:  
Este aparato satisface las exigencias de la Directiva 89/336/CEE  
modificada por medio de la 93/68/CEE.  
Miljöskydd  
Denna produkt drivs av batteri.  
Vid batteribyte skall följande iakttagas:  
Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC så som  
kompletteras av 93/68/EEC.  
Det förbrukade batteriet skall inlämnas till er lokala handlare  
eller till kommunal miljöstation för återinssamling.  
Kasta ej batteriet i vattnet eller i hushållssoporna. Batteriet  
får ej heller utsättas för öppen eld.  
Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i  
endringen 93/68/EEC.  
Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on  
muutettu direktiivillä 93/68/EEC.  
OPMERKING: ALLEEN VOOR NEDERLAND/  
NOTE: FOR NETHERLANDS ONLY  
чÌÌÓ ÛÒÚÓÈÒÚ‚Ó ÒÓÓÚ‚ÂÚÒÚ‚ÛÂÚ Ú·ӂ‡ÌËflÏ ‰ËÂÍÚË‚˚ 89/336/  
EEC Ò Û˜ÂÚÓÏ ÔÓÔ‡‚ÓÍ 93/68/EEC.  
Ez a készülék megfelel a 89/336/EGK sz. EK-irányelvben és annak 93/  
68/EGK sz. módosításában foglalt követelményeknek.  
Tento pfiístroj vyhovuje poÏadavkÛm smûrnice 89/336/EEC v platném  
znûní 93/68/EEC.  
Physical Constants and Metric Conversions are shown in the  
tables.  
Physikalischen Konstanten und metriche Umrechnungen sind in  
der Tabelle aufgelistet.  
Les constants physiques et les conversion des unités sont  
indiquées sur les tableaux.  
Las constants fisicas y conversiones métricas son mostradas en  
las tables.  
Constantes Fisicas e Conversões Métricas estão mostradas nas  
PHYSICAL CONSTANTS  
ß 01 52  
No. SYMBOL UNIT  
No. SYMBOL UNIT  
No. SYMBOL UNIT  
01 - c, c0 m s1  
19 - µΒ  
J T1  
J T1  
J T1  
J T1  
J T1  
J T1  
m
37 - eV  
38 - t  
J
02 - G  
03 - gn  
04 - me  
05 - mp  
06 - mn  
m3 kg1 s2 20 - µe  
K
m
m
m s2  
kg  
21 - µΝ  
22 - µp  
23 - µn  
24 - µµ  
25 - λc  
26 - λc, p  
27 - σ  
39 - AU  
40 - pc  
kg  
41 - M(12C) kg mol1  
-
kg  
42 - h  
J s  
J
tablelas.  
07 - m  
kg  
43 - Eh  
µ
La constanti fisiche e le conversioni delle unità di misura  
vengono mostrate nella tabella.  
De natuurconstanten en metrische omrekeningen staan in de  
tabellen hiernaast.  
08 - lu  
09 - e  
kg  
m
44 - G0  
s
1  
C
W m2 K4 45 - α  
10 - h  
11 - k  
J s  
28 - NΑ, L mol1  
46 - mp/me  
A fizikai konstansok és a metrikus átváltások a táblázatokban  
J K1  
N A2  
F m1  
m
29 - Vm  
30 - R  
31 - F  
32 - RK  
-
m3 mol1  
47 - Mu  
J mol1 K1 48 - λc, n  
kg mol1  
m
találhatók.  
Fyzikální konstanty a převody do metrické soustavy jsou  
uvedeny v tabulce.  
12 - µ0  
13 - ε0  
14 - re  
15 - α  
16 - a0  
17 - R  
C mol1  
49 - c1  
50 - c2  
51 - Z0  
52 -  
W m2  
m K  
Fysikaliska konstanter och metriska omvandlingar visas i  
tabellerna.  
Ohm  
33 - e/me C kg1  
Fysikaaliset vakiot ja metrimuunnokset näkyvät taulukoista.  
Ç Ú‡·Îˈ‡ı ÔÓ͇Á‡Ì˚ ÙËÁ˘ÂÒÍË ÍÓÌÒÚ‡ÌÚ˚ Ë ÏÂÚ˘ÂÒÍË  
ÔÂÓ·‡ÁÓ‚‡ÌËfl.  
m
m1  
34 - h/2me m2 s1  
Pa  
35 - γp  
s1 T1  
Hz V1  
Fysiske konstanter og metriske omskrivninger vises i tabellen.  
18 - Φ0  
Wb  
36 - KJ  
METRIC CONVERSIONS  
x 1 44  
No.  
1
UNIT  
No.  
UNIT  
No.  
31  
32  
33  
34  
35  
36  
37  
UNIT  
incm  
cmin  
ftm  
mft  
ydm  
16 kglb  
17 °F°C  
18 °C°F  
JcalIT  
calITJ  
hpW  
Whp  
psW  
Wps  
kgf/cm2Pa  
Pakgf/cm2  
atmPa  
Paatm  
mmHgPa  
PammHg  
kgf·mJ  
Jkgf·m  
Pemalar Fizik dan Pertukaran Metrik ditunjukkan di dalam  
jadual.  
Konstanta Fisika dan Konversi Metrik diperlihatkan di dalam  
tabel.  
2
3
4
19 gal (US)l  
20 lgal (US)  
21 gal (UK)l  
22 lgal (UK)  
23 fl oz (US)ml 38  
24 mlfl oz (US) 39  
25 fl oz (UK)ml 40  
26 mlfl oz (UK) 41  
27 Jcal  
28 calJ  
29  
30  
5
6
myd  
7
milekm  
kmmile  
n milem  
mn mile  
acrem2  
m2acre  
ozg  
8
9
10  
11  
12  
13  
14  
15  
42  
43  
44  
goz  
lbkg  
Jcal15  
cal15J  
 

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