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Sharp EL-506VB Calculator
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1. SHARP SCIENTIFIC CALCULATOR ENGLISH EL 506V MODEL EL 546V OPERATION MANUAL PRINTED IN CHINA IMPRIM EN CHINE OOLUP TINSK0443EHZZ INTRODUCTION About operation examples please refer to the attached sheet Refer to the number on the right of each title for use After reading this manual store it in a convenient location for future reference Note One of the models described in this manual may not be available in some countries Operational Notes To ensure trouble free operation please observe the following points 1 Do not carry the calculator in the back pocket of slacks or trousers Do not subject the calculator to extreme temperatures Do not drop it or apply excessive force Clean only with a soft dry cloth Do not use or store the calculator where fluids can splash onto it Press the RESET switch only in the following cases When using for the first time After replacing the batteries To clear all memory contents e When an abnormal condition occurs and all keys are inopera tive If service should be required on this calculator use only a SHARP servicing dealer SHARP approved service facility or SHARP re pair service where available euoakwD Hard Case a a DISPLAY KS xY7 2ndF ALPHA FIXSCIENG DEGRAD M Symbol er een nae a ie 345600 Mantissa ere During actual use not all symbols are displayed at the same time lt gt Appear
2. ca_ mode change RESET and N base conversion For EL 546V in addition to the above pressing including the Automatic Power Off feature will also clear the multi line memory Priority Levels in Calculation This calculator performs operations according to the following pri ority Z Functions preceded by their argument x x n etc Yz Y O Implied multiplication of a memory value 2Y etc Functions followed by their argument sin cos etc Implied multiplication of a function 2sin30 etc D nCr P x AND d OR XOR XNOR M M M DEG PRAD PGRAD DATA CD gt r gt xy and other calculation ending in struction If parentheses are used parenthesized calculations have prec edence over any other calculations INITIAL SETUP Mode Selection Normal mode NORMAL 2ndF MODE o0 Used to perform arithmetic operations and function calculations Complex number mode CPLX 2ndF MODE 1 _ Used to perform arhe operations with complex numbers 3 VLE mode 3 VLE Used to perform simultaneous linear equations with three unknowns Statistic mode STAT 2ndF Mong 3 Used to Nese statistical calculations When executing mode selection temporary memories statistical data and last answer memory will be cleared even when reselecting the same mode Selecting the Display Notation and Decimal Places The calculator has four display notation systems
3. D X and Y one independent memory M and one last answer memory ANS EL 506V is also equipped with formula memories F1 and F2 for storing formulas Mode ANS M F1 F2 A D X Y Normal O O Complex O O x 3 VLE x x x Statistic O x x O Available x Unavailable Temporary memories A D X and Y A stored value can be recalled as a value or variable for the use in equations e Incase you store an infinite decimal in the memory recall it as a variable to obtain accurate answers Ex 1C 3 0 3333 is stored to Y 3 Cx act Cy C 0 999999999 3 Cx ndF aP CY CE 1 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 Last answer memory ANS The calculation result obtained by pressing _ _ or any other calculation ending instruction is automatically stored in the last answer memory Formula memories F1 and F2 available only on EL 506V Formulas up to 80 characters each can be stored As with storing numerical values in the memory storing a new equation will auto matically replace any existing equation in memory without notifica tion Note Calculation results from the functions indicated below are auto matically stored in memories X or Y For this reason when using these functions be careful with the use of memories X and Y e Random numbers Y memory 710 xy X memory r or x
4. Population standard deviation y data Zy Sum of samples y data Ly Sum of squares of samples y data Exy Sum of products of samples x y r Correlation coefficient a Coefficient of regression equation b Coefficient of regression equation c Coefficient of quadratic regression equation Entered data are kept in memory until 2ndF ca or 2ndF MODE 3 are pressed Before entering new data clear the memory contents Data Entry Single variable data Data DATA LS data Two variable data frequency To enter multiples of the same frequency To enter multiples of the same data x and y Data Correction Correction prior to pressing DATA Delete incorrect data with ON c Correction after pressing DATA The inputted statistical data can be traced back by pressing Ca J Display the data to correct press to delete then input the correct value Statistical Calculation Formulas 22 Refer also to the operation examples sheets Type Regression formula Linear y atbx Exponential ysare Logarithmic y atbelnx Power y arx 1 Inverse y a b r Quadratic y a bx cx In the statistical calculation formulas an error will occur when the absolute value of the intermediate result or calculation result is equal to or greater than 1 x 101 the denominator is zero anattempt is made to take the square root of a
5. Y memory 0 or y Temporary memories and last answer memory are cleared even when the same mode is reselected Chain Calculations 8 This calculator allows the previous calculation result to be used in the following calculation The previous calculation result will not be recalled after entering multiple instructions Fraction Calculations 9 This calculator performs arithmetic operations and memory calcu lations using a fraction and conversion between a decimal number and a fraction In all cases a total of up to 10 digits including integer numera tor denominator and the symbol F can be entered e If the number of digits to be displayed is greater than 10 the number is converted to and displayed as a decimal number A decimal number variable or exponent cannot be used in a fraction Binary Octal Decimal and Hexadecimal Operations N Base 10 This calculator can perform conversions between numbers ex pressed in binary octal decimal and hexadecimal systems It can also perform the four basic arithmetic operations calculations with parentheses and memory calculations using binary octal decimal and hexadecimal numbers In addition the calculator can carry out the logical operations AND OR NOT NEG XOR and XNOR on binary octal and hexadecimal numbers Conversion to each system is performed by the following keys nak an nak Oa Converts to the binary system bh appears Converts
6. card and the other side of the Operation Examples sheet A constant is recalled by pressing followed by the number of the physical constant You have to designate the physical constant using 2 digit numbers For example speed of light in vacuum should be designated as 01 The recalled constant appears in the display mode selected with the designated number of decimal places Physical constants can be recalled in the normal mode when not set to binary octal or hexadecimal 3 VLE mode or statistics mode Note Physical constants and metric conversions are based either on the 1986 values released by the Committee on Data for Science and Technology CODATA of ICSU International Council of Scientific Unions or on ISO specifications Metric Conversions 14 See the quick reference card and the other side of the Operation Examples sheet Unit conversions can be performed in the normal when not set to binary octal or hexadecimal 3 VLE and statistics modes Modify Function 15 In this calculator all calculation results are internally obtained in scientific notation with up to 12 digits for the mantissa However since calculation results are displayed in the form designated by the display notation 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 con verted to match that of the display so th
7. for displaying calculation results When FIX SCI or ENG symbol is displayed the number of decimal places can be set to any value between 0 and 9 Displayed values will be reduced to the corresponding number of digits 100000 3 Floating point owe 100000C 3C 33333 33333 FlXed decimal point 33333 33333 TAB set to 2 2 33333 33 SClentific notation 3 33x10 ENGineering notation 33 331 0 Floating point 33333 33333 e If the value for floating point system does not fit in the following range the calculator will display the result using scientific notation system 0 000000001 lt x lt 9999999999 Determination of the Angular Unit This calculator has three angular units DEG RAD Radians and GRAD g Press to specify the angular unit SCIENTIFIC CALCULATIONS Press Co to select the normal mode In each example press to clear the display And if the FIX SCI or ENG indicator is displayed clear the indicator by press ing ndF CFSE Arithmetic Operations 2 The closing parenthesis just before _ _ or may be omitted Constant Calculations 3 e In the constant calculations the addend becomes a constant Subtraction and division are performed in the same manner For multiplications the multiplicand becomes a constant e When performing calculations using constants constants will be displayed as K Functions 4 e Refer to operation examples of each function
8. negative number no solution exists in the quadratic regression calculation Normal Probability Calculations 19 23 Refer also to the operation examples sheet P r Q t and R z will always take positive values even when t lt 0 because these functions follow the same principle used when solving for an area Values for P Q r and R t are given to six decimal places ERROR AND CALCULATION RANGES Errors An error will occur if an operation exceeds the calculation ranges or if a mathematically illegal operation is attempted When an error occurs pressing C lt or C gt automatically moves the cursor back to the place in the equation where the error occurred Edit the equation or press to clear the equation Error Codes and Error Types Syntax error Error 1 An attempt was made to perform an invalid operation Ex 2 4 JC 5 Calculation error Error 2 The absolute value of an intermediate or final calculation result equals or exceeds 10 An attempt was made to divide by 0 The calculation ranges were exceeded while performing calculations Depth error Error 3 The available number of buffers was exceeded There are 8 buffers for numeric values and 16 buffers for calculation instructions 4 buffers in STAT and the complex number mode Equation too long Error 4 The equation exceeded its maximum input buffer 142 characters An equation must be shorter than 142 characte
9. Before starting calculations specify the angular unit Differential Integral Functions 5 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 2 cannot be specified It is possible to reuse the same equation over and over again and to recalculate by only changing the conditions without re entering the equation When performing a calculation the value stored in the X memory will be cleared e When performing a differential calculation enter formula first and then enter x value in differential calculation and minute interval dx If a numerical value is not specified for minute interval x40 will be xx10 and x 0 will be 10 from the value of the numeric derivative When performing a integral calculation enter 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 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 which contain discontinuous points Integral calculation Simpson s rule S Fh fla 4 flarh f a 3h fani f a N 1 h ht 2 f a 2h f a 4h f a
10. N 2 h 4 b Lesa Differential calculation fer D f ox When performing integral calculations Integral calculations depending on the integrands and subintervals included require longer calculation time During calculation y Calculating will be displayed To cancel cal culation press 0n In addition please note that there will be greater integral errors when there are large fluctuations in the integral val ues during minute shifting of the integral range and for periodic functions etc where positive and negative integral 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 Following these tips will allow results of cal culations with greater accuracy and will also shorten the calculation time Random Numbers A pseudo random number with three significant digits can be gen erated by pressing C To generate the next ran dom number press You can perform this function in the normal and statistics modes You cannot perform this function while you are using the N Base function e Random numbers use memory Y Each random number is gen erated on the basis of the value stored in memory Y pseudo random number series Angular Unit Conversions 6 Each time are pressed the angular unit changes in sequence Memory Calculations 7 The calculator has six temporary memories A
11. at the displayed value can be used without change in subsequent operations SIMULATION CALCULATION 16 If you have to find a value consecutively using the same formula such as plotting a curve line for 2x 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 D M X and Y Unusable functions RANDOM e Simulation calculations can only be executed in the normal mode e Calculation ending instructions etc other than cannot be used Performing Calculations Press MoD o Input a formula with at least one variable Press ALGB 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 e Only numerical values are allowed as variables Input of for mulas are not permitted Upon completing the calculation press to perform cal culations using the same formula e 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 ENT COMPLEX NUMBER CALCULATIONS 17 To carry out addition subtraction multiplication and division using complex numbers press to select the complex number mode There are two modes of expression of the results of complex number calculatio
12. austed batteries left in the calculator may leak and damage the calculator e Explosion risk may be caused by incorrect handling Batteries must be replaced only with others of the same type Do not throw batteries into a fire as they may explode Replacement Procedure Turn the power off by pressing OFF Remove two screws Fig 1 Slide the battery cover slightly and lift it to remove Remove the used batteries by prying them with a ball point pen or other similar pointed device Fig 2 Install two new batteries Make sure the side facing up Replace the cover and screws Press the RESET switch on the back Make sure that the display appears as shown below If the display does not appear as shown remove the batteries reinstall them and check the display once again ROM NOU z Fig 2 Automatic Power Off Function This calculator will turn itself off to save battery power if no key is pressed for approximately 10 minutes SPECIFICATIONS Calculations Scientific calculations complex number calculations simultaneous linear equations with three unknowns statistical calculations etc Mantissas of up to 12 digits 16 calculations 8 numeric values 4 numeric values in STAT and complex number mode Built in solar cells Internal calculations Pending operations Power source 3V DC Backup batteries Alkaline batteries LR44 x 2 Operating temperature Ex
13. er On and Off Press to turn the calculator on and to turn it off Clearing Methods There are three clearing methods as follows Clearing Entry M A D X Y operation Display Fi F2 STAT ANS Oo x x O x O RESET O O O Clear x Retain Statistical data and last answer memory Refer to the Memory Calculations section meting the Equation Press lt 4 or CP to move the cursor You can also return to the equation after getting an answer by pressing C gt C See below for Multi line playback function e If you need to delete a number move the cursor to the number you wish to delete then press DEL The number under the cursor will be deleted e If you need to insert a number move the cursor to the place immediately after where you wish to insert the number then enter the number Multi line Playback function 1 This calculator is equipped with a function to recall previous equa tions Equations also include calculation ending instructions such as and a maximum 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 A_ will display the previous equa tion Further pressing a will display preceding equations after returning to the previous equation press _w_ to view equations in order In addition 2ndF _a_ can be used to jump to the oldest equation e The multi line memory is cleared by the following operations 2ndF
14. he entered coefficients press 2ndF CA Note Pressing when the determinant D is in the display recalls the coefficients Each time is pressed a coeffi cient is displayed in the order of input allowing the entered coefficients to be verified by pressing 2ndF ENT coeffi cients are displayed in reverse order To correct a particular coefficient being displayed enter the correct value and then press ENT If the coefficients c1 c2 and cs as well as as ds are set to zero the problem is treated as a 2 dimensional simultaneous equation The x and y values as well as the determinant can be retrieved STATISTICAL CALCULATIONS Statistical calculations are performed in the statistics mode Press to select the statistics mode This calculator per forms the seven statistical calculations indicated below After se lecting the statistics mode select the desired sub mode by press ing the number key corresponding to your choice When changing to the statistical sub mode press the correspond ing number key after performing the operation to select the statis tics mode press 2ndF MODE _3_ Co STAT 0 Single variable statistics STAT 1 Linear regression calculation STAT 2 Quadratic regression calculation STAT 3 Exponential regression calculation STAT 4 Logarithmic regression calculation STAT 5 Power regression calculation STAT 6 Inverse regression calculation The following sta
15. ns Rectangular coordinate mode xy appears on the display Polar coordinate mode r appears on the display MAC Complex number entry Rectangular coordinates x coordinate y coordinate or x coordinate Ci y coordinate Polar coordinates r 0 r absolute value 8 argument e Upon changing to another mode the imaginary portion of any complex number stored in the independent memory M will be cleared e 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 SIMULTANEOUS LINEAR EQUATIONS WITH THREE UNKNOWNS 18 To solve simultaneous linear equations with three unknowns press to select the 3 VLE mode Simultaneous Linear Equations with Three Unknowns aix biy cz di ai bi ci a2x bey c2z d2 D az be c2 asx bsy c3z d3 as bs c3 Notes Ifthe determinant D 0 an error occurs If the absolute value of an intermediate result or calcu lation result is 1 x 10 or more an error occurs Performing Calculations Press ndF wove C2 Enter each coefficient from a to ds followed by ENT as prompted on the display Upon pressing after entering ds the solution for x will be displayed Subsequent pressing will cycle through the values of y z and the determinant D Coefficients can be entered using ordinary arithmetic operations e To clear t
16. rs 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 Calculation Ranges 24 Refer also to the operation examples sheet Within the ranges specified this calculator is accurate to 1 in the least significant digit of the mantissa When performing con tinuous calculations including chain calculations errors accu mulate leading to reduced accuracy Calculation ranges 10 9 999999999x10 and 0 If the absolute value of an entry or a final or intermediate result of a calculation is less than 107 the value is considered to be 0 in calculations and in the display BATTERY REPLACEMENT Notes on Battery Replacement Improper handling of batteries can cause electrolyte leakage or explosion Be sure to observe the following handling rules e Replace both batteries at the same time Do not mix new and old batteries Make sure the new batteries are the correct type e When installing orient each battery properly as indicated in the calculator When to Replace the Batteries If the display has poor contrast or nothing appears on the display even when is pressed in dim lighting it is time to replace the batteries Caution Keep batteries out of the reach of children e Exh
17. s when the entire equation cannot be displayed Press lt 4 _ CP to see the remaining hidden section xy r Indicates the mode of expression of results in the com plex calculation mode 2ndF Appears when is pressed indicating that the func tions shown in orange are enabled ALPHA Indicates that 2ndF ALPHA or STO RCL has been pressed and entry recall of memory contents and recall of statistics can be performed FIX SCI ENG Indicates the notation used to display a value and changes each time are pressed DEG RAD GRAD Indicates angular units and changes each time is pressed Appears when a simulation calculation is executed Appears when statistics mode is selected M Indicates that a numerical value is stored in the inde pendent memory Indicates that the calculator is waiting for a numerical value to be entered such as during simulation calcula tion 2 Appears when the calculator shows an angle as the result in the complex calculation mode i Indicates an imaginary number is being displayed in the complex calculation mode BEFORE USING THE CALCULATOR Key Notation Used in this Manual In this manual key operations are described as follows e xe To specify e To specify E HEX E To specify In Crno To specify X Functions that are printed in orange above the key require to be pressed first before the key Numbers are not shown as keys but as ordinary numbers Pow
18. ternal dimensions 0 C 40 C 32 F 104 F 78 6 mm W x 152 mm D x 10 5 mm H 3 3 32 W x 5 31 32 D x 13 32 H Weight Approx 78 g 0 172 Ib Including batteries Accessories Batteries x 2 installed operation manual operation examples sheet quick reference card Physical Constants and Metric Conversions and hard case FOR MORE INFORMATION ABOUT THIS CALCULATOR Visit our Web site http sharp world com calculator
19. tistics can be obtained for each statistical calcula tion refer to the table below Single variable statistical calculation 19 Statistics of and value of the normal probability function Linear regression calculation 20 Statistics of and and in addition estimate of y for a given x estimate y and estimate of x for a given y estimate x Exponential regression Logarithmic regression Power regression and Inverse regression calculation Statistics of and 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 Quadratic regression calculation 21 Statistics of and and coefficients a b c in the quadratic regression formula y a bx cx For quadratic regression calculations no correlation coefficient r can be obtained When there are two x values press 2ndF When performing calculations using a b and c only one numeric value can be held x Mean of samples x data x Sample standard deviation x data ox Population standard deviation x data n Number of samples Ex Sum of samples x data Ex Sum of squares of samples x data y Means of samples y data sy Sample standard deviation y data oy
20. to the octal system Q appears HEX Converts to the hexadecimal system HK appears 2ndF DEC Converts to the decimal system h a and H disappear from the display Conversion is performed on the displayed value when these keys are pressed Note In this calculator the hexadecimal numbers A F are entered by pressing xen Q 5 Ce a in 5 and ATA and displayed as follows A 3f B36 C3f D gt 5 Eof F of In the binary octal and hexadecimal systems fractional parts cannot be entered When a decimal number having a fractional part is converted into a binary octal or hexadecimal number the fractional part will be truncated Likewise when the result of a binary octal or hexadecimal calculation includes a fractional part the fractional part will be truncated In the binary octal and hexa decimal systems negative numbers are displayed as a comple ment Time Decimal and Sexagesimal Calculations 11 Conversion between decimal and sexagesimal numbers can be performed In addition the four basic arithmetic operations and memory calculations can be carried out using the sexagesimal system Coordinate Conversions 12 Before performing a calculation select the angular unit Fral P xy P 0 i Oo 0 H Rectangular coord Polar coord e Refer to the Note of the Memory Calculations section Calculations Using Physical Constants 13 See the quick reference
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