Determination of the Angular UnitTime, Decimal and Sexagesimal Calculations(11)
ENGLISHyMeans of samples (y data)
This calculator has three angular units: DEG (!), RAD (Radians)Conversion between decimal and sexagesimal numbers can besySample standard deviation (y data)
SCIENTIFIC CALCULATOREL-506Vand GRAD (g).performed. In addition, the four basic arithmetic operations andAyPopulation standard deviation (y data)
MODELEL-546VPress @G to specify the angular unit.memory calculations can be carried out using the sexagesimalLySum of samples (y data)
system.2
OPERATION MANUAL2LySum of squares of samples (y data)
LxySum of products of samples (x, y)
Coordinate Conversions(12)
PRINTED IN CHINA / IMPRIM? EN CHINESCIENTIFIC CALCULATIONSrCorrelation coefficient
Y Before performing a calculation, select the angular unit.
00LUP (TINSK0443EHZZ)aCoefficient of regression equation
Y Press @ m 0 to select the normal mode.YY
P (x,y )P (r,¸ )bCoefficient of regression equation
Y In each example, press a to clear the display. And if the FIX,r
SCI, or ENG indicator is displayed, clear the indicator by press-y?cCoefficient of quadratic regression equation
¸
INTRODUCTIONing @ f.0xX0X
Entered data are kept in memory until @ c or @ m
Rectangular coord.Polar coord.
About operation examples, please refer to the attached sheet.Arithmetic Operations(2)3 are pressed. Before entering new data, clear the memory
Refer to the number on the right of each title for use.Y The closing parenthesis ) just before = or ; may beY Refer to the Note of the Memory Calculations section.contents.
After reading this manual, store it in a convenient location for futureomitted.
[Data Entry]
reference.Calculations Using Physical Constants(13)
Single-variable data
Note :One of the models described in this manual may not beConstant Calculations(3)See the quick reference card and the other side of the OOperationData k
available in some countries.Y In the constant calculations, the addend becomes a constant.Examples� sheet.Data & frequency k (To enter multiples of the same
Subtraction and division are performed in the same manner. ForA constant is recalled by pressing � followed by the number of
data)
Operational Notesmultiplications, the multiplicand becomes a constant.the physical constant. You have to designate the physical constantTwo-variable data
To ensure trouble-free operation, please observe the followingY When performing calculations using constants, constants will beusing 2-digit numbers. For example, speed of light in vacuumData x & Data y k
points:displayed as K.should be designated as O01�.Data x & Data y & frequency k (To enter multiples
1. Do not carry the calculator in the back pocket of slacks orof the same data x and y.)
Functions(4)The recalled constant appears in the display mode selected with
trousers.
the designated number of decimal places.
2. Do not subject the calculator to extreme temperatures.Y Refer to operation examples of each function.[Data Correction]
3. Do not drop it or apply excessive force.Y Before starting calculations, specify the angular unit.Physical constants can be recalled in the normal mode (when notCorrection prior to pressing k:
4. Clean only with a soft, dry cloth.set to binary, octal, or hexadecimal), 3-VLE mode, or statisticsDelete incorrect data with a.
Differential/Integral Functions(5)
5. Do not use or store the calculator where fluids can splash onto it.mode.Correction after pressing k:
Press the RESET switch only in the following cases:Differential and integral calculations are only available in the nor-The inputted statistical data can be traced back by pressing
Y When using for the first timemal mode. For calculation conditions such as the x value in differ-Note: Physical constants and metric conversions are based either[. Display the data to correct, press @J to delete,
Y After replacing the batteriesential calculation or the initial point in integral calculation, onlyon the 1986 values released by the Committee on Data forthen input the correct value.
numerical values can be entered and equations such as 22 cannotScience and Technology (CODATA) of ICSU (International
Y To clear all memory contents
Y When an abnormal condition occurs and all keys are inopera-be specified. It is possible to reuse the same equation over andCouncil of Scientific Unions) or on ISO specifications.Statistical Calculation Formulas(22)
tive.over again and to recalculate by only changing the conditionsRefer also to the operation examples sheets.
If service should be required on this calculator, use only a SHARPwithout re-entering the equation.Metric Conversions(14)
servicing dealer, SHARP approved service facility, or SHARP re-Y When performing a calculation, the value stored in the X memorySee the quick reference card and the other side of the OOperationTypeRegression formula
Examples� sheet.
pair service where available.will be cleared.Lineary = a + bx
Y When performing a differential calculation, enter formula firstUnit conversions can be performed in the normal (when not set toExponential y = a Y ebx
Hard Caseand then enter x value in differential calculation and minutebinary, octal, or hexadecimal), 3-VLE and statistics modes.Logarithmic y = a + b Y ln x
interval (dx). If a numerical value is not specified for minutePowery = a Y xb
interval, x`0 will be x�10�4 and x=0 will be 10�4 from the value ofModify Function(15)
the numeric derivative.In this calculator, all calculation results are internally obtained in1
Y When performing a integral calculation, enter formula first andscientific notation with up to 12 digits for the mantissa. However,xInversey = a + b N
then enter a range of integral (a, b) and subintervals (n). If asince calculation results are displayed in the form designated by
numerical value is not specified for subintervals, calculation willthe display notation and the number of decimal places indicated,Quadraticy = a + bx + cx2
be performed using n=100.the internal calculation result may differ from that shown in the
display. By using the modify function, the internal value is con-In the statistical calculation formulas, an error will occur when:
Since differential and integral calculations are performed based onverted to match that of the display, so that the displayed value canY the absolute value of the intermediate result or calculation result
the following equations, correct results may not be obtained, inbe used without change in subsequent operations.is equal to or greater than 1 � 10100.
DISPLAYcertain rare cases, when performing special calculations whichY the denominator is zero.
contain discontinuous points.Y an attempt is made to take the square root of a negative number.
SymbolY no solution exists in the quadratic regression calculation.
EquationIntegral calculation (SimpsonOs rule):SIMULATION CALCULATION(16)
DisplayNormal Probability Calculations(19) (23)
1b� aIf you have to find a value consecutively using the same formula,
S=N h{?(a)+4{?(a+h)+?(a+3h)+áááááá+?(a+(N�1)h)}ëh=ëRefer also to the operation examples sheet.
3iNisuch as plotting a curve line for 2x2 + 1, or finding the variable forY P(t), Q(t), and R(t) will always take positive values, even when
+2{?(a+2h)+?(a+4h)+áááááá+?(a+(N�2)h)}+f(b)}ii2x + 2y =14, once you enter the equation, all you have to do is toN=2n
Ãadxdb Ãt<0, because these functions follow the same principle used
specify the value for the variable in the formula.
MantissaExponentDifferential calculation:when solving for an area.
Usable variables: A-D, M, X and YValues for P(t), Q(t), and R(t) are given to six decimal places.
(During actual use not all symbols are displayed at the same time.)Unusable functions: RANDOM
dxdx
f(x+��)�f(x���)Y Simulation calculations can only be executed in the normal mode.
/:Appears when the entire equation cannot be displayed.22
fO(x)=NNNNNNNNY Calculation ending instructions (%, etc.) other than = cannot
Press </> to see the remaining (hidden) section. dxbe used.ERROR AND CALCULATION RANGES
xy/r¸:Indicates the mode of expression of results in the com-
plex calculation mode.[When performing integral calculations]Performing CalculationsErrors
2ndF :Appears when @ is pressed, indicating that the func-Integral calculations, depending on the1 Press m0.An error will occur if an operation exceeds the calculation ranges,
tions shown in orange are enabled.integrands and subintervals included, require2 Input a formula with at least one variable.or if a mathematically illegal operation is attempted. When an error
longer calculation time. During calculation,y3 Press d.occurs, pressing < (or >) automatically moves the cursor
ALPHA: Indicates that @ K or O (R) has beenback to the place in the equation where the error occurred. Edit the
OCalculating!� will be displayed. To cancel cal-4 Variable input screen will appear. Input the value of the flashing
pressed, and entry (recall) of memory contents and recallequation or press a to clear the equation.
culation, press a. In addition, please notevariable, then press ? to confirm. The calculation result will
of statistics can be performed.
that there will be greater integral errors whenbe displayed after entering the value for all used variables.
FIX/SCI/ENG: Indicates the notation used to display a value andthere are large fluctuations in the integral val-Y Only numerical values are allowed as variables. Input of for-Error Codes and Error Types
changes each time @ f are pressed.ues during minute shifting of the integral rangeabxmulas are not permitted.
x0 x1Syntax error (Error 1):
DEG/RAD/GRAD: Indicates angular units and changes each timeand for periodic functions, etc., where positivexx23Y Upon completing the calculation, press d to perform cal-
Y An attempt was made to perform an invalid operation.
@G is pressed.and negative integral values exist dependingculations using the same formula.Ex. 2 +- 5 =
on the interval.xy0x2Y Variables and numerical values stored in the memories will be
ALGB:Appears when a simulation calculation is executed.
For the former case, divide integral intervalsbdisplayed in the variable input screen. To change a numericalCalculation error (Error 2):
a
STAT:Appears when statistics mode is selected.xas small as possible. For the latter case,value, input the new value and press ?.Y The absolute value of an intermediate or final calculation result equals
x13x
or exceeds 10100.
M: Indicates that a numerical value is stored in the inde-separate the positive and negative values.
Y An attempt was made to divide by 0.
Following these tips will allow results of cal-
pendent memory.Y The calculation ranges were exceeded while performing calculations.
culations with greater accuracy and will also
COMPLEX NUMBER CALCULATIONS(17)
?:Indicates that the calculator is waiting for a numericalshorten the calculation time.Depth error (Error 3):
value to be entered, such as during simulation calcula-Y The available number of buffers was exceeded. (There are 8 buffers*
To carry out addition, subtraction, multiplication, and division using
tion.Random Numbersfor numeric values and 16 buffers for calculation instructions). *4
complex numbers, press @m1 to select the complex
:Appears when the calculator shows an angle as theA pseudo-random number with three significant digits can be gen-number mode.buffers in STAT and the complex number mode.
result in the complex calculation mode.erated by pressing @ ` =. To generate the next ran-There are two modes of expression of the results of complexEquation too long (Error 4):
dom number, press =. You can perform this function in the
i:Indicates an imaginary number is being displayed in thenumber calculations.Y The equation exceeded its maximum input buffer (142 characters).
complex calculation mode.normal and statistics modes. (You cannot perform this function1 Rectangular coordinate mode. (xy appears on the display.)An equation must be shorter than 142 characters.
while you are using the N-Base function.)2
Y Random numbers use memory Y. Each random number is gen-2 Polar coordinate mode. (r¸ appears on the display.)Equation recall error (Error 5):
erated on the basis of the value stored in memory Y (pseudo-1Y The stored equation contains a function not available in the
random number series).BEFORE USING THE CALCULATORmode used to recall the equation. For example, if a numerical
Complex number entryvalue with numbers other than 0 and 1 is stored as a decimal,
Angular Unit Conversions(6)1 Rectangular coordinatesetc., it cannot be recalled when the calculator is set to binary.
Key Notation Used in this Manual
Each time @g are pressed, the angular unit changes inx-coordinate + y-coordinate �
In this manual, key operations are described as follows:
sequence.or x-coordinate + � y-coordinate
Calculation Ranges(24)
To specify ex:@e2 Polar coordinates
Eex xRefer also to the operation examples sheet.
To specify E (HEX) : EMemory Calculations(7)lnr � ¸Y Within the ranges specified, this calculator is accurate to ?1 in
To specify lnI:The calculator has six temporary memories (A-D, X and Y), oner: absolute value
the least significant digit of the mantissa. When performing con-
To specify X@KX:independent memory (M) and one last answer memory (ANS). EL-¸: argument
506V is also equipped with formula memories (F1 and F2) forY Upon changing to another mode, the imaginary portion of anytinuous calculations (including chain calculations), errors accu-
Functions that are printed in orange above the key require @ tostoring formulas.mulate leading to reduced accuracy.
complex number stored in the independent memory (M) will be
be pressed first before the key. Numbers are not shown as keys,cleared.Y Calculation ranges
-9999
but as ordinary numbers.ModeANSM, F1, F2A-D, X,YY A complex number expressed in rectangular coordinates with?10 � ?9.999999999�10 and 0.
If the absolute value of an entry or a final or intermediate result of a
the y-value equal to zero, or expressed in polar coordinates with
Power On and OffNormalcalculation is less than 10�99, the value is considered to be 0 in
the angle equal to zero, is treated as a real number.
Press a to turn the calculator on, and @ F to turn it off.calculations and in the display.
Complex�
Clearing Methods3-VLE���
There are three clearing methods as follows:SIMULTANEOUS LINEAR EQUATIONS
Statistic��
BATTERY REPLACEMENT
ClearingEntryMA-D, X,YWITH THREE UNKNOWNS(18)
operation(Display)F1, F2STAT, ANS*1
: Available� : UnavailableTo solve simultaneous linear equations with three unknowns, pressNotes on Battery Replacement
a��@m2 to select the 3-VLE mode.Improper handling of batteries can cause electrolyte leakage or
[Temporary memories (A-D, X and Y)]explosion. Be sure to observe the following handling rules:
@c�A stored value can be recalled as a value or variable for the use inSimultaneous Linear Equations with Three Unknowns:Y Replace both batteries at the same time.
RESETequations.a1 b1 c1Y Do not mix new and old batteries.
a1x + b1y + c1z = d1
Y In case you store an infinite decimal in the memory, recall it as aY Make sure the new batteries are the correct type.
a2x + b2y + c2z = d2 D = a2 b2 c2
variable to obtain accurate answers.Y When installing, orient each battery properly as indicated in the
: Clear� : Retaina3x + b3y + c3z = d3a3 b3 c3
1Ex.) 1 / 3 O Y(0.3333...is stored to Y)* Statistical data and last answer memory.calculator.
Refer to the Memory Calculations section.3 * R Y =0.999999999Notes: Y If the determinant D = 0, an error occurs.When to Replace the Batteries
3 * @ K Y =1.Y If the absolute value of an intermediate result or calcu-If the display has poor contrast or nothing appears on the display
Editing the Equation
100
lation result is 1 � 10 or more, an error occurs.even when a is pressed in dim lighting, it is time to replace the
Y Press < or > to move the cursor. You can also return to[Independent memory (M)]batteries.
the equation after getting an answer by pressing > (<).In addition to all the features of temporary memories, a value can
Performing Calculations
See below for Multi-line playback function.be added to or subtracted from an existing memory value.Caution
1 Press @m2.
Y If you need to delete a number, move the cursor to the number
2 Enter each coefficient from a1 to d3 followed by ?, asY Keep batteries out of the reach of children.
you wish to delete then press d.[Last answer memory (ANS)]Y Exhausted batteries left in the calculator may leak and damage
prompted on the display.
The number under the cursor will be deleted.The calculation result obtained by pressing = or any otherthe calculator.
Y If you need to insert a number, move the cursor to the placecalculation ending instruction is automatically stored in the last3 Upon pressing ? after entering d3, the solution for x will beY Explosion risk may be caused by incorrect handling.
immediately after where you wish to insert the number then enteranswer memory.displayed. Subsequent pressing will cycle through the values of
y, z and the determinant D.Y Batteries must be replaced only with others of the same type.
the number.
[Formula memories (F1 and F2)] : available only on EL-506VY Coefficients can be entered using ordinary arithmetic operations.Y Do not throw batteries into a fire as they may explode.
Formulas up to 80 characters each can be stored. As with storingY To clear the entered coefficients, press @c.
Multi-line Playback function(1)Replacement Procedure
numerical values in the memory, storing a new equation will auto-
This calculator is equipped with a function to recall previous equa-Note: Pressing ? when the determinant D is in the display
matically replace any existing equation in memory without notifica-1. Turn the power off by pressing @ F.
tions. Equations also include calculation ending instructions suchrecalls the coefficients. Each time ? is pressed, a coeffi-
tion.2. Remove two screws. (Fig. 1)
as O=� and a maximum of 142 characters can be stored in memory.cient is displayed in the order of input, allowing the entered3. Slide the battery cover slightly and lift it to remove.
When the memory is full, stored equations are deleted in the orderNote:coefficients to be verified. (by pressing @?, coeffi-
4. Remove the used batteries by prying them with a ball-point pen
of the oldest first. Pressing [ will display the previous equa-Calculation results from the functions indicated below are auto-cients are displayed in reverse order.)
or other similar pointed device. (Fig. 2)
tion. Further pressing [ will display preceding equations (aftermatically stored in memories X or Y. For this reason, when using
To correct a particular coefficient being displayed, enter the5. Install two new batteries. Make sure the O+� side facing up.
returning to the previous equation, press ] to view equationsthese functions, be careful with the use of memories X and Y.
correct value and then press ?.6. Replace the cover and screws.
in order). In addition, @[ can be used to jump to the oldestY Random numbers .................. Y memory7. Press the RESET switch (on the back).
equation.Y ? r¸, ? xy ............................... X memory (r or x),If the coefficients c1, c2 and c3 as well as a3 � d3 are set to zero, theY Make sure that the display appears as shown below. If the
Y The multi-line memory is cleared by the following operations:Y memory (¸ or y)problem is treated as a 2-dimensional simultaneous equation. The
@c, mode change, RESET, and N-base conversion.x and y values as well as the determinant can be retrieved.display does not appear as shown, remove the batteries reinstall
Temporary memories and last answer memory are cleared eventhem and check the display once again.
For EL-546V, in addition to the above, pressing @F
when the same mode is reselected.
(including the Automatic Power Off feature) will also clear the
multi-line memory.
Chain Calculations(8)STATISTICAL CALCULATIONS
This calculator allows the previous calculation result to be used in
Priority Levels in Calculation
the following calculation.Statistical calculations are performed in the statistics mode. Press
This calculator performs operations according to the following pri-
The previous calculation result will not be recalled after entering@m3 to select the statistics mode. This calculator per-(Fig. 1)(Fig. 2)
ority:
forms the seven statistical calculations indicated below. After se-
1 2 Functions preceded by their argument (x-1, x2, n!, etc.) 3multiple instructions.
lecting the statistics mode, select the desired sub-mode by press-
Yx, xż 4 Implied multiplication of a memory value (2Y, etc.) 5
Functions followed by their argument (sin, cos, etc.) 6 ImpliedFraction Calculations(9)ing the number key corresponding to your choice.
multiplication of a function (2sin30, etc.) 7 nCr, nPr 8 �, � 9 +, �This calculator performs arithmetic operations and memory calcu-When changing to the statistical sub-mode, press the correspond-
F AND G OR, XOR, XNOR H =, M+, M�, O M, |DEG, |RAD,lations using a fraction, and conversion between a decimal numbering number key after performing the operation to select the statis-
|GRAD, DATA, CD, ? r¸, ? xy and other calculation ending in-and a fraction.tics mode (press @m3).
structionY In all cases, a total of up to 10 digits including integer, numera-0 (STAT 0) : Single-variable statistics
Y If parentheses are used, parenthesized calculations have prec-tor, denominator and the symbol (l) can be entered.Automatic Power Off Function
edence over any other calculations.Y If the number of digits to be displayed is greater than 10, the1 (STAT 1) : Linear regression calculationThis calculator will turn itself off to save battery power if no key is
number is converted to and displayed as a decimal number.2 (STAT 2) : Quadratic regression calculationpressed for approximately 10 minutes.
Y A decimal number, variable, or exponent cannot be used in a
3 (STAT 3) : Exponential regression calculation
fraction.
INITIAL SETUP4 (STAT 4) : Logarithmic regression calculation
Binary, Octal, Decimal, and Hexadecimal Operations5 (STAT 5) : Power regression calculationSPECIFICATIONS
Mode Selection
(N-Base)(10)Calculations:Scientific calculations, complex number
6 (STAT 6) : Inverse regression calculation
Normal mode (NORMAL): @m0This calculator can perform conversions between numbers ex-calculations, simultaneous linear
Used to perform arithmetic operations and function calculations.pressed in binary, octal, decimal and hexadecimal systems. It canThe following statistics can be obtained for each statistical calcula-equations with three unknowns, statistical
also perform the four basic arithmetic operations, calculations withtion (refer to the table below):calculations, etc.
Complex number mode (CPLX): @m1
parentheses and memory calculations using binary, octal, decimal,Internal calculations:Mantissas of up to 12 digits
Used to perform arithmetic operations with complex numbers.Single-variable statistical calculation(19)
and hexadecimal numbers. In addition, the calculator can carry outPending operations:16 calculations 8 numeric values
Statistics of 1 and value of the normal probability function
3-VLE mode (3-VLE): @m2the logical operations AND, OR, NOT, NEG, XOR and XNOR on(4 numeric values in STAT and complex
Used to perform simultaneous linear equations with three unknowns.binary, octal and hexadecimal numbers.Linear regression calculation(20)number mode)
Conversion to each system is performed by the following keys:Statistics of 1 and 2 and, in addition, estimate of y for a given xPower source:Built-in solar cells
Statistic mode (STAT): @m33V ? (DC):
(estimate y?) and estimate of x for a given y (estimate x?)
Used to perform statistical calculations.@e: Converts to the binary system. O � appears.Backup batteries (Alkaline batteries (LR44)
Exponential regression, Logarithmic regression,
When executing mode selection, temporary memories, statistical@î: Converts to the octal system. O � appears.� 2)
Power regression, and Inverse regression calculationOperating temperature:!C � 400 !C (32!F � 104!F)
data and last answer memory will be cleared even when reselecting
@i: Converts to the hexadecimal system. O � appears.External dimensions:78.6 mm (W) � 152 mm (D) � 10.5 mm (H)
the same mode.Statistics of 1 and 2 . In addition, estimate of y for a given x and
estimate of x for a given y. (Since the calculator converts each3-3/32� (W) � 5-31/32� (D) � 13/32� (H)
@Ã: Converts to the decimal system. O Ã�, O Ã�, and O Ã�
Selecting the Display Notation and Decimal Placesformula into a linear regression formula before actual calculationWeight: Approx. 78 g ( 0.172 lb)
disappear from the display.
The calculator has four display notation systems for displayingtakes place, it obtains all statistics, except coefficients a and b,(Including batteries)
Conversion is performed on the displayed value when these keys
calculation results. When FIX, SCI, or ENG symbol is displayed,are pressed.from converted data rather than entered data.)Accessories:Batteries � 2 (installed), operation
manual, operation examples sheet, quick
the number of decimal places can be set to any value between 0
Note: In this calculator, the hexadecimal numbers A � F are enteredQuadratic regression calculation(21)reference card (Physical Constants and
and 9. Displayed values will be reduced to the corresponding
Statistics of 1 and 2 and coefficients a, b, c in the quadraticMetric Conversions) and hard case
number of digits.by pressing ë, N, �, é, ç, and ,2
regression formula (y = a + bx + cx). (For quadratic regression
and displayed as follows:calculations, no correlation coefficient (r) can be obtained.) When
100000�3=
[Floating point]a100000/3= 33333.33333A ? i, B ? +, C ? ó, D ? o, E ? ô, F ? öthere are two x? values, press @`.
FOR MORE INFORMATION ABOUT THIS
When performing calculations using a, b and c, only one numeric
? [FIXed decimal point] @f33333.33333
value can be held.CALCULATOR
[TAB set to 2]@i 233333.33In the binary, octal, and hexadecimal systems, fractional parts
? [SCIentific notation] @f3.33�104cannot be entered. When a decimal number having a fractionalxMean of samples (x data)
Visit our Web site.
? [ENGineering notation]@f33.33�103part is converted into a binary, octal, or hexadecimal number, the
sxSample standard deviation (x data)http://sharp-world.com/calculator/
? [Floating point]@f33333.33333fractional part will be truncated. Likewise, when the result of a
1AxPopulation standard deviation (x data)
binary, octal, or hexadecimal calculation includes a fractional part,
Y If the value for floating point system does not fit in the followingthe fractional part will be truncated. In the binary, octal, and hexa-nNumber of samples
range, the calculator will display the result using scientific notationdecimal systems, negative numbers are displayed as a comple-LxSum of samples (x data)
system:ment.Lx2Sum of squares of samples (x data)
0.000000001 d | x | d 9999999999
EL-506V/546V (K0443E)_ENGLISH_11234567890., 1234567890.,
1234567890., 1234567890.,
1234567890., 1234567890., |
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