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CASIO fx-100AU user manual

1. Imaginary part 8i E Absolute Value and Argument Calculation Supposing the imaginary number expressed by the rectangular form z a bi is represented as a point in the Gaussian plane you can determine the absolute value r and argument 0 of the complex number The polar form is r40 e Example 1 To determine the absolute value r and argument 0 of 3 4i Angle unit Deg r 5 0 53 13010235 Imaginary axis Real axis l l l l l l 3 r 5 sr fes C 3 E3 4 UU OB 0 53 13010235 Oki ZITSRER e The complex number can also be input using the polar form rz e Example 2 V2 Z 45 1 i Angle unit Deg 2 45 B E Rectangular Form lt Polar Form Display You can use the operation described below to convert a rectangular form complex number to its polar form and a polar form complex number to its rectangular form Press 83 to toggle the display between the absolute value r and argument 0 e Example 1 7 gt 1 414213562 2 45 Angle unit Deg 163 B 2 45 B e You select rectangular form a bi or polar form r40 for display of complex number calculation results wooe 4 J Disp C J a bi Rectangular form 2 rz 6 Polar form indicated by rz 6 on the display E Conjugate of a Complex Number For any complex number z where z a bi its conjugate Z is Z a bi e Example To determine the conjugate of the complex number 1 23 2 347 Result 1
2. e Low battery power can cause memory contents to become corrupted or lost completely Always keep written records of all important data e Avoid use and storage in areas subjected to tem perature extremes Very low temperatures can cause slow display response total failure of the display and shortening of battery life Also avoid leaving the calculator in direct sunlight near a window near a heater or anywhere else it might be exposed to very high temperatures Heat can cause dis coloration or deformation of the calculator s case and damage to internal circuitry 3 Avoid use and storage in areas subjected to large amounts of humidity and dust Take care never to leave the calculator where it might be splashed by water or exposed to large amounts of humidity or dust Such conditions can damage internal Circuitry Never drop the calculator or otherwise subject it to strong impact Never twist or bend the calculator Avoid carrying the calculator in the pocket of your trou sers or other tight fitting clothing where it might be sub jected to twisting or bending Never try to take the calculator apart Never press the keys of the calculator with a ball point pen or other pointed object Use a soft dry cloth to clean the exterior of the cal culator If the calculator becomes very dirty wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent Wring out all excess moi
3. e Press Mos C3 Norm J to clear the Fix specifica tion e Example 2 1 3 displaying result with two significant digits Sci 2 e Press Mos C3 Norm J to clear the Sci specifica tion 15 Memory Calculations COMP Use the key to enter the COMP Mode when you want to perform a calculation using memory E Answer Memory e Whenever you press E after inputting values or an expression the calculated result automatically updates Answer Memory contents by storing the result e In addition to EB Answer Memory contents are also up dated with result whenever you press M M or E10 followed by a letter A through F or M X or Y e You can recall Answer Memory contents by pressing ss e Answer Memory can store up to 12 digits for the mantissa and two digits for the exponent e Answer Memory contents are not updated if the opera tion performed by any of the above key operations results in an error E Consecutive Calculations e You can use the calculation result that is currently on the display and also stored in Answer Memory as the first value of your next calculation Note that pressing an operator key while a result is displayed causes the displayed value to change to Ans indicating it is the value that is currently stored in Answer Memory e The result of a calculation can also be used with a sub sequent Type A function x x x x DRGP AQ N X nPr and n
4. e Remove the battery if you do not plan to use the calculator for a long time e Use only the type of battery specified for this calcu lator in this manual Disposing of the Calculator e Never dispose of the calculator by burning it Doing so can cause certain components to suddenly burst creating the risk of fire and personal injury e The displays and illustrations such as key markings shown in this User s Guide are for illustrative purposes only and may differ somewhat from the actual items they represent e The contents of this manual are subject to change with out notice e Inno event shall CASIO Computer Co Ltd be liable to anyone for special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials Moreover CASIO Computer Co Ltd shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party Handling Precautions e Be sure to press the ON key before using the calcu lator for the first time e Even if the calculator is operating normally replace the battery at least once every two years A dead battery can leak causing damage to and mal function of the calculator Never leave a dead battery in the calculator e The battery that comes with this unit discharges slightly during shipment and storage Because of this it may require replacement sooner than the normal expected battery life
5. ena 900 22 Statistical Calculations Standard Deviation csSD Use the key to enter the SD Mode when you want to perform statistical calculations using standard de viation e Inthe SD Mode and REG Mode the key operates as the OT key e Always start data input with LJ Scl EB to clear statistical memory e Input data using the key sequence shown below lt x data gt e Input data is used to calculate values for n Xx Xx x On and On 1 which you can recall using the key opera tions noted nearby To recall this type of value Perform this key operation xix 1 2y 2 3 sur svan 1 Grr svar 2 Err svan 3 e Example To calculate On 1 On xX n Xx and Xx for the following data 55 54 51 55 53 53 54 52 In the SD Mode 41 Scl EB Stat clear SD 55 p7 1 Each time you press to register your input the number of data input up to that point is indicated on the display n value 54 DT 51 DT 55 53 54 PT 52 Sample Standard Deviation On 1 1 407885953 3 B 23 Population Standard Deviation Gn 1 316956719 2 B Arithmetic Mean X 53 375 1 B Number of Data n 8 3 B Sum of Values x 427 2 B Sum of Squares of Values x 22805 1 B Data Input Precautions inputs the same data twice You can also input multiple entries of the same data using amp L To input the data 110 ten times for example press 110 9 L
6. 10 BT You can perform the above key operations in any order and not necessarily that shown above While inputting data or after inputting data is complete you can use the 4 and LY keys to scroll through data you have input If you input multiple entries of the same data using I J to specify the data frequency number of data items as described above scrolling through data shows both the data item and a separate screen for the data frequency Freq You can then edit the displayed data if you want Input the new value and then press the E key to replace the old value with the new one This also means that if you want to perform some other operation calculation recall of statistical calculation results etc you should always press the key first to exit data display Pressing the PT key instead of E after changing a value on the display registers the value you input as a new data item and leaves the old value as it is You can delete a data value displayed using 4 and LY by pressing CL Deleting a data value causes all values following it to be shifted up Data values you register are normally stored in calcula tor memory The message Data Full appears and you will not be able to input any more data if there is no memory left for data storage If this happens press the E key to display the screen shown below Edi tOFF ESC 1 2 24 Press 2 to exit data input without registering the value you ju
7. 1 To convert 56 088 meters to kilometers 56 088 x10 56088 E es km e Example 2 To convert 0 08125 grams to milligrams 81 25 x10 0 08125 EB o mg E inputting Engineering Symbols COMP gt CMPLX gt e Turning on engineering symbols makes it possible for you to use engineering symbols inside your calculations e To turn engineering symbols on and off press the key a number of times until you reach the setup screen shown below Disp e Press L On the engineering symbol setting screen that appears press the number key CJ or 2 that corre sponds to the setting you want to use 21 1 Eng ON Engineering symbols on indicated by Eng on the display 2 Eng OFF Engineering symbols off no Eng indicator e The following are the nine symbols that can be used when engineering symbols are turned on To input this symbol Perform this key operation Unit k kilo T3 M Mega Mm G Giga G T Tera m milli m u micro n nano n p pico e f femto Ct e For displayed values the calculator selects the engineer ing symbol that makes the numeric part of the value fall within the range of 1 to 1000 e Engineering symbols cannot be used when inputting frac tions e Example 9 10 0 9 m milli ae L Disp Q 0 When engineering symbols are turned on even standard non engineering calculation results are displayed using engineering symbols 9 10 m
8. below Deg Rad Gra 1 2 3 Press the number key CJ 2 or L3 that corresponds to the angle unit you want to use 90 gt radians 100 grads Example 1 sin 63 52 41 0 897859012 dante C J Deg sin 63 52 41 e Example 2 cos rad 0 5 sasia 2 Rad os CO e Cr B 3 O B 2 0 25 m rad rad ieia 2 Rad sar os LOW 2 B2 0B A Ben a B e Example 4 tan 0 741 36 53844577 wane L1_J Deg 0 741 B e Example 3 cos E Hyperbolic Inverse Hyperbolic Functions e Example 1 sinh 3 6 18 28545536 sn 3 6 B e Example 2 sinh 30 4 094622224 30 B 18 E Common and Natural Logarithms Antilogarithms e Example 1 log 1 23 0 089905111 1 23 B e Example 2 In 90 log 90 4 49980967 Un 90 EB ne 1 Cn Le B Example 3 e 22026 46579 16 Example 4 10 5 31 6227766 ie e Example 5 2 0 125 2 3 e Example 6 2 16 OO 20048 e Negative values inside of calculations must be enclosed within parentheses For details see Order of Operations E Square Roots Cube Roots Roots Squares Cubes Reciprocals Factorials Random Numbers z and Permutation Combination e Example 1 V2 3 x V5 5 287196909 2 3 58 e Example 2 V 5 27 1 290024053 eV 5 6 e7 OOO 2a e Example 3 7 123 1237 1 988647795 7 123 B e Example 4 123 30 1023 123 E3 30 B e Example 5 12 1728 120 B e Example 6 12 3 4 Os B woa o
9. cccceeeeeeeeeeeeeeeeeesseeees 36 SACS n ae A KRT a E 37 W input Ranges ss sssssssessserserrrrrrrrrrrrrrrrrrrrrrrnrrrn 38 Power SUpDIY iisi aiaiai oninia aaa 40 SPeCiFICATIONS sisien 41 Two line Display The two line display makes it possible to view both the calculation formula and its result at the same time e The upper line shows the calculation formula e The lower line shows the result A separator symbol is displayed every three digits when the integer part of the mantissa has more than three dig its Before getting started E Modes Before starting a calculation you must first enter the correct mode as indicated in the table below To perform this type of Perform this To enter calculation key operation this mode COMP wove moo _4 J SD Regression calculations mos 2 REG Base n calculations 3 e Pressing the key more than twice displays additional setup screens Setup screens are described where they are actually used to change the calculator setup D mong ea e In this manual the name of the mode you need to enter in order to perform the calculations being described is indicated in the main title of each section Example tanta ia Calculations CMPLX Note e To return the calculation mode and setup to the initial defaults shown below press C2 Mode B Calculation Mode COMP Angle Unit Deg Exponential Display Format Norm 1 Eng OFF Complex Number D
10. clear re play memory and variables GAl B Basic Calculations COMP E Arithmetic Calculations Use the key to enter the COMP Mode when you want to perform basic calculations Negative values inside of calculations must be enclosed within parentheses For details see Order of Operations It is not necessary to enclose a negative exponent within parentheses sin 2 34 x 10 sn 2 34 5 Example 1 3x 5x10 1 5x 10 3 E 5 Er o 9 B Example 2 5x 9 7 80 5 cl Ame e You can skip all QJ operations before EB 11 E Fraction Operations e Fraction Calculations e Values are displayed in decimal format automatically whenever the total number of digits of a fractional value integer numerator denominator separator marks exceeds 10 Example 1 2 8 3 5 15 2 3 E 1 0 5 B 13215 1 2 11 e 4 Example 2 3 47 3 12 3 2 1 ed 4 E3 1 2 204 3 B 4511312 Example 3 20 4 B Example 4 2 1 6 2 1 1 Q 2 E 1 6 B e Results of calculations that mix fraction and decimal val ues are always decimal e Decimal Fraction Conversion e Use the operation shown below to convert calculation results between decimal values and fraction values Note that conversion can take as long as two seconds to perform e Example 1 2 75 2 2 Decimal Fraction oB OO ez sal e Example 2 3 0 5 Fraction lt Decimal 128 m 12 e Mixed Fracti
11. standard devia tion also apply for regression calculations Do not use variables A through F X or Y to store data when performing statistical calculations These variables are used for statistical calculation temporary memory so any data you may have assigned to them may be replaced by other values during statistical calculations Entering the REG Mode and selecting a regression type Lin Log Exp Pwr Inv Quad clears variables A through F X and Y Changing from one regression type to an other inside the REG Mode also clears these variables Complex Number Calculations CMPLX Use the key to enter the CMPLX Mode when you want to perform calculations that include complex numbers The current angle unit setting Deg Rad Gra affects CMPLX Mode calculations Note that you can use variables A B C and M only in the CMPLX Mode Variables D E F X and Y are used by the calculator which frequently changes their values You should not use these variables in your expressions The indicator Re gt I in the upper right corner of a calculation result display indicates a complex number result Press to toggle the display between the real part and imaginary part of the result 30 e You can use the replay function in the CMPLX Mode Since complex numbers are stored in replay memory in the CMPLX Mode however more memory than normal is used up e Example 2 37 4 5 6 8 Real part 6 PA EED ES ESERI
12. 0 Decimal gt Sexagesimal Conversions 0 0 0 x 999999 59 x gt 0 1x10 lt ylogx lt 100 x 0 y gt 0 4 x lt 0 y n Jp41 1 is an integer However 1x 101 lt ylog x lt 100 y gt 0 x 0 1x10 lt 1 x logy lt 100 y 0 x gt 0 y lt 0 x 2n 1 rs n 0 nis an integer However 1x 101 lt 1 xlog y lt 100 Total of integer numerator and denominator must be 10 digits or less including division marks x lt 1x105 ly lt 1x105 Ia lt 1x101 xOn yon X n 0 xon 1 yon 1 A B r n 0 1 For a single calculation calculation error is 1 at the 10th digit In the case of exponential display calculation error is 1 at the last significant digit Errors are cumu lative in the case of consecutive calculations which can also cause them to become large This is also true of 39 internal consecutive calculations that are performed in the case of x Vy x V nPr nCr etc In the vicinity of a function s singular point and point of inflection errors are cumulative and may become large Power Supply This calculator is powered by a single AA size battery Replacing the Battery Dim figures on the display of the calculator indicate that battery power is low Continued use of the calculator when the battery is low can result in improper operation Replace the battery as soon as possible when display figures become dim To replace the battery Press to turn
13. 23 2 347 Gur Conio C 1 C 23 amp 3 el aos Base n Calculations BASE Use the key to enter the BASE Mode when you want to perform calculations using Base n values e In addition to decimal values calculations can be performed using binary octal and hexadecimal values e You can specify the default number system to be applied to all input and displayed values and the number system for individual values as you input them e You cannot use scientific functions in binary octal decimal and hexadecimal calculations You cannot input values that include decimal part and an exponent e If you input a value that includes a decimal part the unit 90 automatically cuts off the decimal part Negative binary octal and hexadecimal values are produced by taking the two s complement You can use the following logical operators between values in Base n calculations and logical product or logical sum xor exclusive or xnor exclusive nor Not bitwise complement and Neg negation The following are the allowable ranges for each of the available number systems Binary 1000000000 x s 1111111111 Osxs 0111111111 Octal 4000000000 x S 7777777777 O SxS 3777777777 Decimal 2147483648 x S 2147483647 Hexadecimal 80000000 x FFFFFFFF 0 x 7FFFFFFF Example 1 To perform the following calculation and produce a binary result 101112 110102 1100012 10111 11010 B Example 2 To perform the following ca
14. Cr E Independent Memory e Values can be input directly into memory added to memory or subtracted from memory Independent memory is convenient for calculating cumulative totals e Independent memory uses the same memory area as variable M e To clear independent memory M input Lo m M 416 e Example 23 9 32 23 EB 9 E 670 M 53 6 47 53 6 45 x 2 90 45 E3 2 fr M Total 11 m M E Variables e There are nine variables A through F M X and Y which can be used to store data constants results and other values e Use the following operation to delete data assigned to a particular variable Lo A This operation de letes the data assigned to variable A e Perform the following key operation when you want to clear the values assigned to all of the variables ew ctr 1 Mcl EB e Example 193 2 23 8 4 193 2 28 6 9 193 2 ur 610 A B 23 B a B 23 B Scientific Function Calculations COMP Use the key to enter the COMP Mode when you want to perform scientific function calculations e Certain types of calculations may take a long time to complete e Wait for the result to appear on the display before start ing the next calculation e T 3 14159265359 17 E Trigonometric Inverse Trigonometric Functions e To change the default angle unit degrees radians grads press the key a number of times until you reach the angle unit setup screen shown
15. E Independent Memory ccceeceeeeeeeeseeeeseeees 16 BP Variables ein aarre thereat vert lasiedd 17 Scientific Function Calculations 17 E Trigonometric Inverse Trigonometric Functions 18 E Hyperbolic Inverse Hyperbolic Functions 18 E Common and Natural Logarithms AntilogarithiNS viinoista 19 E Square Roots Cube Roots Roots Squares Cubes Reciprocals Factorials Random Numbers 7 and Permutation Combination 0 19 E Angle Unit Conversion ccccceceeceteeeeeeeeeeeeees 20 E Coordinate Conversion Pol x y Rec r 0 20 E Engineering Notation Calculations 21 E inputting Engineering Symbols s 21 Statistical Calculations cccee 23 Standard Deviation ssccvsss cccsunceress acini veaaawasnes 23 Normal Distribution ccccccseeeeeeeeeeeeeeeeeeeeaaeeeeees 25 Regression Calculations ccseeeeseeeeeeeeeeeeeees 26 Complex Number Calculations 30 E Absolute Value and Argument Calculation 31 E Rectangular Form lt Polar Form Display 31 Conjugate of a Complex Number 0eeeee 32 Base n Calculations scsseeeeeeeeees 32 Technical Information sscseeeeees 34 E When you have a problem ccccceeeeeeeeeeeeee ee 34 MB Error Messages cccccecceeecececeeeeeeeeeeeeeeeeeeeeees 35 H Order of Operations
16. a eB e Example 7 8 40320 8 e x B 49 e Example 8 To generate a random number between 0 000 and 0 999 B 0 664 The above value is a sample only Results differ each time e Example 9 37 9 424777961 3 e Example 10 To determine how many different 4 digit values can be produced using the numbers 1 through 7 e Numbers cannot be duplicated within the same 4 digit value 1234 is allowed but 1123 is not 840 Ton ee 4 EB e Example 11 To determine how many different 4 mem ber groups can be organized in a group of 10 individuals 210 1000 4 B E Angle Unit Conversion e Press to display the following menu D R G 12 3 e Pressing J 2 or L3 converts the displayed value to the corresponding angle unit e Example To convert 4 25 radians to degrees 4 25 R E 5435070629 E Coordinate Conversion Pol x y Rec r 0 e Calculation results are automatically assigned to vari ables E and F 20 e Example 1 To convert polar coordinates r 2 6 60 to rectangular coordinates x y Deg x 4 Sur Rec 2 C 60 O B y 1 732050808 LF e Press Fey LE to display the value of x or Fe LE to dis play the value of y e Example 2 To convert rectangular coordinates 1 V 3 to polar coordinates r Rad a ea 1 30B 0 1 047197551 LF e Press ty LE to display the value of r or amp LF to dis play the value of 0 E Engineering Notation Calculations e Example
17. an be used inside of expressions the same way you use variables 97 e Linear Regression e The regression formula for linear regression is y A Bx e Example Atmospheric Pressure vs Temperature Atmospheric Perform linear regression to de Pressure t th f ermine the regression formula G08 nna terms and correlation coefficient 15 C 1005 hPa for the data nearby Next 20 C 1010 hPa or the data nearby Next use 20 C the regression formula to esti 1011 hPa nas ae i 30 C 1014 hPa mate atmospheric pressure a 30 C 5 C and temperature at 1000 hPa Finally calculate the coeffi cient of determination r and sample covariance rin n 1 l In the REG Mode 4 Lin C Scl EB Stat clear REG Each time you press to register your input the number of data input up to that point is indicated on the display n value 15 L 1005 07 20 C 1010 T 25 C 1011 30 L 1014 OT Regression Coefficient A 997 4 gt gt 1 B Regression Coefficient B 0 56 gt gt 2 B Correlation Coefficient r 0 982607368 gt e G Atmospheric Pressure at 5 C 994 6 O O 5 0 tr w gt gt e a B Temperature at 1000 hPa 4 642857143 1000 em s gt gt gt OO B Coefficient of Determination 0 965517241 tir cw gt gt GIO B 28 Sample Covariance 35 SHIFT gt LO en fs C3 O 1OIE e Logarithmic Exponential Power and Inverse Regr
18. copies of all important data 34 E Error Messages The calculator is locked up while an error message is on the display Press G to clear the error or press or gt to display the calculation and correct the problem See Error Locator for details Math ERROR e Causes e Calculation result is outside the allowable calculation range e An attempt to perform a function calculation using a value that exceeds the allowable input range e An attempt to perform an illogical operation division by zero etc e Action e Check your input values and make sure they are all within the allowable ranges Pay special attention to values in any memory areas you are using Stack ERROR e Cause e The capacity of the numeric stack or operator stack is exceeded e Action e Simplify the calculation The numeric stack has 10 lev els and the operator stack has 24 levels e Divide your calculation into two or more separate parts Syntax ERROR e Cause e An attempt to perform an illegal mathematical opera tion e Action e Press J or P to display the calculation with the cur sor located at the location of the error and make re quired corrections 35 Arg ERROR e Cause e Improper use of an argument e Action e Press LO or P to display the location of the cause of the error and make required corrections E Order of Operations Calculations are performed in the following order of prec edence 1 C
19. elect between two formats that determine at what point exponential notation is used e To change the exponential display format press the key a number of times until you reach the exponential display format setup screen shown below Fix Sci Norm e Press L3 On the format selection screen that appears press U to select Norm 1 or 2 for Norm 2 eNorm 1 With Norm 1 exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places eNorm 2 With Norm 2 exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places e All of the examples in this manual show calculation re sults using the Norm 1 format E Decimal Point and Separator Symbols You can use the display setup Disp screen to specify the symbols you want for the decimal point and 3 digit sepa rator 40 e To change the decimal point and separator symbol set ting press the key a number of times until you reach the setup screen shown below Disp e Display the selection screen LJP gt e Press the number key J or L2 that corresponds to the setting you want to use O J Dot Period decimal point comma separator 2 Comma Comma decimal point period separator E initializing the Calculator e Perform the following key operation when you want to initialize the calculation mode and setup and
20. ession e Use the same key operations as linear regression to recall results for these types of regression e The following shows the regression formulas for each type of regression Power Regression y A x8 Iny InA Binx inverse Regression y A B e Quadratic Regression e The regression formula for quadratic regression is y A Bx Cr e Example Perform quadratic regression to de termine the regression formula terms for the data nearby Next use the re gression formula to estimate the values for 9 estimated value of y for xi 16 and X estimated value of x for yi 20 In the REG Mode gt 3 Quad C Scl EB Stat clear 29 J1 6 50 L 23 5 PT 74 338 0 103 L 46 4 118 L 48 0 Regression Coefficient A 35 59856934 gt gt GJ B Regression Coefficient B 1 495939413 gt gt a B Regression Coefficient C 6 71629667 x 10 ower svar gt gt 3 B 99 when xi is 16 13 38291067 16 gt gt 0 ho 1 when yi is 20 47 14556728 20 gt gt o 2 when yi is 20 175 5872105 20 gt gt o Data Input Precautions inputs the same data twice You can also input multiple entries of the same data using amp 3 J To input the data 20 and 30 five times for example press 20 L3 30 J 5 07 The above results can be obtained in any order and not necessarily that shown above Precautions when editing data input for
21. fx I00AU User s Guide CASIO E http world casio com edu_e Removing and Replacing the Calculator s Cover e Before starting Holding the cover as shown in the illustration slide the unit out of the cover e After you are finished Holding the cover as shown in the illustration slide the unit out of the cover e Always slide the keyboard end of the unit into the cover first Never slide the display end of the unit into the cover Safety Precautions Be sure to read the following safety precautions before using this calculator Keep this manual handy for later ref erence A N Caution This symbol is used to indicate information that can result in personal injury or material damage if ignored Batteries e After removing the battery from the calculator put it in a safe place where it will not get into the hands of small children and accidentally swallowed e Keep batteries out of the reach of small children If accidentally swallowed consult with a physician im mediately e Never charge batteries try to take batteries apart or allow batteries to become shorted Never expose batteries to direct heat or dispose of them by incin eration e Misuse of batteries can cause them to leak and dam age nearby items and can create the risk of fire and personal injury e Always make sure that the battery s positive and negative ends are facing correctly when you load it into the calculator
22. ighing 500 grams what is the percentage increase in weight 160 300 500 Example 7 What is the percentage change when a value is increased from 40 to 46 How about to 48 15 20 46 Ed 40 E 6 CORE EE EE ES E Degrees Minutes Seconds Calculations e You can perform sexagesimal calculations using degrees hours minutes and seconds and convert between sexagesimal and decimal values e Example 1 To convert the decimal value 2 258 to a sexagesimal value and then back to a decimal value 2 258 B 2 258 2 15 28 8 2 258 e Example 2 To perform the following calculation 12 34 56 x 3 45 12 34 56 3 45 B 43 24 31 2 a A E FIX SCI RND e To change the settings for the number of decimal places the number of significant digits or the exponential dis play format press the key a number of times until you reach the setup screen shown below Fix Sci Norm Press the number key CJ 2 orL3 that corresponds to the setup item you want to change 1 Fix Number of decimal places 2 Sci Number of significant digits 3 Norm Exponential display format Example 1 200 7 x 14 200 67 E3 146 Ti FIX Specifies three moD a aaa j eane O CFix 3 400 000 Internal calculation continues 200 G 7 B 28 571 using 12 digits 1 6B 400 000 The following performs the same calculation using the specified number of decimal places 200 B7 B 28 571 Internal rounding 28 571 1 B 399 994
23. isplay Format a b i Fraction Display Format ac Decimal Point Character Dot Mode indicators appear in the upper part of the display except for the BASE indicators which appear in the exponent part of the display Engineering symbols are automatically turned off while the calculator is the BASE Mode You cannot make changes to the angle unit or other display format Disp settings while the calculator is in the BASE Mode The COMP CMPLX SD and REG modes can be used in combination with the angle unit settings Be sure to check the current calculation mode SD REG COMP CMPLX and angle unit setting Deg Rad Gra before beginning a calculation E Input Capacity e The memory area used for calculation input can hold 79 steps One step is taken up each time you press a number key or arithmetic operator key G3 G3 ES G3 A amp or e key operation does not take up a step so inputting amp GZ for example takes up only one step e You can input up to 79 steps for a single calculation Whenever you input the 73rd step of any calculation the cursor changes from _ to W to let you know memory is running low If you need to input more than 79 steps you should divide your calculation into two or more parts 8 e Pressing the 48s key recalls the last result obtained which you can use in a subsequent calculation See Answer Memory for more information about using the key E Making Correcti
24. ke the ones shown below Lin Log Exp gt BIA Pwr Inv Quad 1 2 8 e Press the number key LJ 2 or 3J that corresponds to the type of regression you want to use G Lin Linear regression 2 Log Logarithmic regression 3 Exp Exponential regression 1 Pwr Power regression 2 Inv Inverse regression gt 3 Quad Quadratic regression e Always start data input with LJ Scl E to clear statistical memory e Input data using the key sequence shown below lt x data gt L lt y data gt e The values produced by a regression calculation depend on the values input and results can be recalled using the key operations shown in the table below 96 Gur s sum 1 Gur s sum 2 Gur s sum 3 Esu gt C Esu 2 Esu gt 3 Gmr svar 1 Gur svar 2 Gr s var 3 J svar gt 1 svar gt 2 YOn 1 Gur sva gt 3 Regression coefficient A gt w Regression coefficient B gt w Er svan gt gt 3 J Err svar gt gt gt GJ Er svan gt gt gt 2 The following table shows the key operations you should use to recall results in the case of quadratic regression To recall this type of value Perform this key operation Le gt Ex y gt o yx eB Regression coefficient C eB i swe s gt gt amp C1 2 swe s gt gt 2 ear svar gt gt gt 3 e The values in the above tables c
25. lculation and produce an octal result 7654s 1240 5163 ose ae He C 0 7654 E ose ae ae o 12 E Example 3 To perform the following calculation and produce a hexadecimal and a decimal result 12046 of 11012 12di 6 30110 Hexadecimal mode Hex 120 2 or Losic Losic Losic C3 b 1101 EB Decimal mode 33 Example 4 To convert the value 22 to its binary oc tal and hexadecimal equivalents 10110 26 16 Binary mode tosic Losic Losic L4 J d 22 EB 10110 Hexadecimal mode HEX Example 5 To convert the value 513 to its binary equivalent Binary mode You may not be able to convert a value from a number system whose calculation range is greater than the calculation range of the resulting number system The message Math ERROR indicates that the result has too many digits overflow Technical Information E When you have a problem If calculation results are not what you expect or if an error occurs perform the following steps 1 2 3 Press 2 Mode to initialize all modes and settings Check the formula you are working with to confirm it is correct Enter the correct mode and try performing the calcula tion again If the above steps do not correct the problem press the key The calculator performs a self check operation and deletes all data stored in memory if any abnormality is detected Make sure you always keep written
26. on Improper Fraction Conversion 5 2 Example 1 gt 3 1 H 2G 3B 14253 e You can use the display setup Disp screen to specify the display format when a fraction calculation result is greater than one e To change the fraction display format press the key a number of times until you reach the setup screen shown below Disp e Display the selection screen D gt e Press the number key CJ or L2 that corresponds to the setting you want to use a e Mixed fraction 2 d c Improper fraction e An error occurs if you try to input a mixed fraction while the d c display format is selected E Percentage Calculations e Example 1 To calculate 12 of 1500 180 1500 ES 12 e Example 2 To calculate what percentage of 880 is 660 75 660 E 880 e Example 3 To add 15 onto 2500 2875 2500 ES 15 e Example 4 To discount 3500 by 25 2625 3500 ES 25 fr co E Ae Example 5 To discount the sum of 168 98 and 734 by 20 800 168 E3 98 EB 734 EB ans fr Sto A ur A ES 20 e G As shown here if you want to use the current Answer Memory value in a mark up or discount calculation you need to assign the Answer Memory value into a variable and then use the variable in the mark up discount calculation This is because the calculation performed when is pressed stores a result to Answer Memory before the key is pressed Example 6 If 300 grams are added to a test sample originally we
27. ons During Input Use L and P to move the cursor to the location you want Press to delete the number or function at the current cursor position Press 6 Ns to change to an insert cursor 2 Inputting something while the insert cursor is on the display in serts the input at the insert cursor position Pressing amp Ns or E returns to the normal cursor from the insert cursor E Replay Function Pressing 4 or recalls the last calculation you per formed You can then make any changes you want in the calculation and re execute it Pressing does not clear replay memory so you can recall the last calculation even after you press GY Replay memory is cleared by any of the following ac tions When you press the 0N key When you initialize modes and settings by pressing 2 or 3 B When you change from one calculation mode to another When you turn off the calculator E Error Locator e Pressing gt or J after an error occurs displays the calculation with the cursor positioned at the location where the error occurred E Multi statements A multi statement is an expression that is made up of two or more smaller expressions which are joined using a colon e Example To add 2 3 and then multiply the result by 4 E Exponential Display Formats This calculator can display up to 10 digits Larger values are automatically displayed using exponential notation In the case of decimal values you can s
28. oordinate transformation Pol x y Rec r Normal distribution P Q R Type A functions With these functions the value is entered and then the function key is pressed Mee alee Engineering symbols Normal distribution gt t X X41 X2 9 Angle unit conversions DRGP Powers and roots xX V ale Abbreviated multiplication format in front of 7 e natural logarithm base memory name or variable name 27 3e 5A TA etc Type B functions With these functions the function key is pressed and then the value is entered ANE log In e 10 sin cos tan sin cos tan sinh cosh tanh sinh cosh tanh d h b o Neg Not arg Abs Conjg Abbreviated multiplication format in front of Type B func tions 2 V 3 Alog2 etc Permutation and combination nPr nCr ZL Q x hi 41 and a2 xnor xor or 1 1 36 e Operations of the same precedence are performed from right to left eIn 120 gt e In Vv 120 e Other operations are performed from left to right e Operations enclosed in parentheses are performed first e When a calculation contains an argument that is a negative number the negative number must be enclosed within parentheses The negative sign is treated as a Type B function so particular care is required when the calculation includes a high priority Type A function or power or root operations Example 2 16 24 16 E S
29. power off Screw Screw Remove the six screws that hold the back cover in place and then remove the back cover Remove the old battery Load a new battery into the unit with its positive and negative ends facing cor rectly Replace the back cover and secure it in place with the six Screws Press to turn power on e Auto Power Off Calculator power automatically turns off if you do not perform any operation for about six minutes When this happens press to turn power back on 40 Specifications Power Supply Single AA size battery R6P SUM 3 Battery Life Approximately 17 000 hours continuous display of flashing cursor Approximately 2 years when left with power turned off Dimensions 20 0 H x 78 W x 155 D mm 13 16 H x 31 16 W x 61 8 D Weight 133 g 4 7 oz including battery Power Consumption 0 0002 W Operating Temperature 0 C to 40 C 32 F to 104 F 41 CASIO CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0311 C Printed in China CA310107 001V03
30. s ture before wiping the calculator Never use thinner ben zene or other volatile agents to clean the calculator Do ing sO can remove printed markings and can damage the case Removing and Replacing the Calculator sS Cover ccccccsssseeseneeneeseeenees 1 Safety Precautions cccsssseesseeseeeeeenees 2 Handling Precautions ccccssecsesseeeenees 3 Two line Display ccscccceeseeeseneeeeeneeeennes 7 Before getting Started csssccssesseeees 7 E Modes iei e a aaae a rience 7 E inp t Capacity aene a a 8 HM Making Corrections During Input s 9 MB Replay Function cccccccccsssssesseeeeeeeeeeeeeeeeeeeeeeeees 9 BE Error LOCAIOF erria i aN 9 W MUlti lt StAlOMONlS cccciscccanccscieiidahimcrwnnmrretdbesss 9 E Exponential Display Formats cccccssseeeeeeees 10 E Decimal Point and Separator Symbols 10 E Initializing the Calculator cccccceceeeeteeeeeeeees 11 Basic Calculations cccccsssssseeseeeeees 11 E Arithmetic Calculations cccccceeeeeeeeeeeeeeeeees 11 E Fraction Operations ccccceeeeceeeeeeeeeeeeeesseeees 12 MPercentage Calculations s 13 E Degrees Minutes Seconds Calculations 14 EFX SC RIND irri t e EAE is 15 Memory Calculations ccssscseseseseees 16 E Answer Memory ccccccsssssessseeeeeeeeeeeeeeeeeeeseees 16 WE Consecutive Calculations ccccccceeeeseeereeeeees 16
31. st input Press UJ if you want to register the value you just input without saving it in memory If you do this however you will not be able to display or edit any of the data you have input e To delete data you have just input press amp CL e After inputting statistical data in the SD Mode or REG Mode you will be unable to display or edit individual data items any longer after perform either the following operations Changing to another mode Changing the regression type Lin Log Exp Pwr Inv Quad Normal Distribution CSD gt Use the key to enter the SD Mode when you want to perform a calculation involving normal distribution e Inthe SD Mode and REG Mode the key operates as the OT key e Press e psr which produces the screen shown below P Q R gt t 12 3 4 e Input a value from L to L4 to select the probability distribution calculation you want to perform AL A A e Example To determine the normalized variate 1 for x 53 and normal probability distribution 7 for the following data 55 54 51 55 53 53 54 52 gt t 0 284747398 P t 0 38974 55 DT 54 PT 51 0T 55 T 53 54 DT 52 53 w i B PO 0 28 W B 25 f Regression Calculations CREG Use the key to enter the REG Mode when you want to perform statistical calculations using regression e Inthe SD Mode and REG Mode the key operates as the DT key e Entering the REG Mode displays screens li
32. tacks This calculator uses memory areas called stacks to tem porarily store values numeric stack and commands com mand stack according to their precedence during calcu lations The numeric stack has 10 levels and the command stack has 24 levels A stack error Stack ERROR occurs whenever you try to perform a calculation that is so com plex that the capacity of a stack is exceeded 5 4 i 5 6 e Example 3 gt 5 8 Numeric Stack Command Stack e Calculations are performed in sequence according to Order of Operations Commands and values are de leted from the stack as the calculation is performed E Input Ranges Internal digits 12 Accuracy As a rule accuracy is 1 at the 10th digit Functions Input Range sinx DEG OS x 4 499999999 x 10 RAD 0S cosx RAD GRA tanx Same as sinx except when x 2n 1 x90 Same as sinx except when x 2n 1 x 7 2 Same as sinx except when x 2n 1 x100 COS x 05 x 59 999999999x 10 0 230 2585092 0 x 4 999999999x 10 1 x 4 999999999x 10 9 999999999 x 10S x 230 2585092 O lt x lt 1 x 10 x lt 1x 10 Osn lt 1X10 OS r n n r are integers 15 n n r lt 1x101 Osn lt 1X10 OS r n n r are integers 18 n r n r lt 1x101 Ix y 9 999999999x 10 x y 9 999999999x 10 OS r 9 999999999x 1099 0 Same as sinx ja b c lt 1x101 0 b c Ix lt 1 x 101

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