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Casio FX-912MS Calculator User Manual
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1. DS D o e Example 5 To convert the value 513 to its binary equivalent Binary mode tose lose Lose C a 513 E Math ERROR e You may not be able to convert a value from a number system whose calculation range is greater than the cal culation range of the resulting number system e The message Math ERROR indicates that the result has too many digits overflow Statistical Calculations Normal Distribution CsD gt Use the key to enter the SD Mode when you want to perform a calculation involving normal distribution SD E E E T mone woo C1 e Press f Esm which produces the screen shown below P Q R gt t 12 3 4 Input a value from 1 to to select the probability distribution calculation you want to perform P t Q t R t t T t e Example To determine the normalized variate t for x 53 and normal probability distribution P t for the following data 55 54 51 55 53 53 54 52 St 0 284747398 P t 0 38974 55 DT 54 DT 51 OT 55 OT 53 07 07 54 BT 52 PT 53 aur wo Gur sta 4 P 0 28 O B Differential FCAT EL The procedure described below obtains the derivative of a function Use the t key to enter the COMP Mode when you want to perform a calculation involving differentials Three inputs are required for the differential expre
2. perform the calculations being described is indicated in the main title of each section Example eye ts Calculations CMPLX gt Note To return the calculation mode and setup to the initial defaults shown below press e cua 2 Mode EB Calculation Mode COMP Angle Unit Deg Exponential Display Format Norm 1 Eng OFF Complex Number Display Format a bi Fraction Display Format ale Decimal Point Character Dot E 2 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 Mathematical Expression Calculations and Editing lt COMP gt Functions Use the key to enter the COMP Mode when you want to perform mathematical expression calculations or edit expressions E Replay Copy Replay copy lets you recall multiple expressions from replay so they are connected as a multi statement on the screen e Example Replay memory contents 1 1 2 2 3 3 4 4 5 5 6 6 Multi sta
3. 61 16 D 133 g 4 7 oz including battery 105 g 3 7 oz including battery Power Consumption 0 0002 W Operating Temperature 0 C to 40 C 32 F to 104 F Importan The names fx 912MS Japan domestic model name and fx 115MS international model name apply to the same model Owners of the fx 912MS should refer to the description of fx 115MS t notice for fx 912MS owners E 16 CASIO CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0206 D Printed in China CA 310074C 1
4. LVE Function The SOLVE function lets you solve an expression using variable values you want without the need to transform or simply the expression e Example C is the time it would take for an object thrown straight up with initial velocity A to reach height B E 4 Use the formula below to calculate initial velocity A for a height of B 14 meters and a time of C 2 seconds Gravitational acceleration is D 9 8 m s Result A 16 8 1 B AC 5 DC m CB e ow Oe a 0182 08 mW B m Oa ower Some B 148 A y C 2B D 9208 A 4 A ower Some The SOLVE function finds approximations based on Newton s method which means that error can occur Certain expressions or initial values may result in error without convergence of results If an expression does not include an equals sign the SOLVE function produces a solution for expression 0 Scientific Function Calculations COMP Use the key to enter the COMP Mode when you want to perform basic arithmetic calculations E inputting Engineering Symbols COMP CEQN CMPLX gt e Turning on engineering symbols makes it possible for you to use engineering symbols inside your calculations E 5 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 C On the engineering symbol s
5. ecimal part the unit automatically cuts off the decimal part e Negative binary octal and hexadecimal values are produced by taking the two s complement E 9 e 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 e The following are the allowable ranges for each of the available number systems Binary 1000000000 xS 1111111111 OSxsS 0111111111 Octal 4000000000 x S 7777777777 O SxS 3777777777 Decimal 2147483648 S x S 2147483647 Hexadecimal 80000000 SxS FFFFFFFF OSsxs 7FFFFFFF Example 1 To perform the following calculation and produce a binary result 101112 110102 1100012 10111 amp 3 11010 B Example 2 To perform the following calculation and produce an octal result 7654s 1210 516s Octal mode ocr Losie Loic osie 4 0 7654 EB G q 12 B e Example 3 To perform the following calculation and produce a hexadecimal and a decimal result 12016 or 11012 12d46 30110 Hexadecimal mode rex 120 tos 2 or Losi ocre ocre C3 b 1101 EB Decimal mode vec E 10 e Example 4 To convert the value 22 to its binary oc tal and hexadecimal equivalents 10110 26 16 Binary mode Bin Losic osie occ 4 a 22 EB 10110 Octal mode ocr Hexadecimal mode HEX 16 4
6. etting screen that appears press the number key GJ or 2 that corre sponds to the setting you want to use 4 Eng ON Engineering symbols on indicated by Eng on the display C 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 N To input this symbol Perform this key operation Unit k kilo ur k 10 M Mega bue M 10 G Giga sur LG 10 T Tera bue T 10 m milli owe m 103 micro e E 10 n nano bue Ln 10 p pico owe P 10 2 f femto Gow 4 10 5 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 Eng 26B 10B 900 When engineering symbols are turned on even standard non engineering calculation results are displayed using engineering symbols E 6 Complex Number Calculations 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 You can store an expres sion in CALC memory while in the CMPLX Mode Note that you can use variab
7. fx 100MS Jx LISMS fx 912Ms User s Guide 2 Additional Functions Mifx 912MS owners Please be sure to read the important notice of this manual 000008000000000000800800008080 COCCHOCHCHCHOCHEOCHOCHCHHOCEEEE E eCoeeeceeeececeeeeeeeeeeeeeeee eoceoeeeeveeeeeeeeeeeeeeeeeee eeoevoereeeoeeneeeeoeeee eee ee eee es eoveeeeenereee eee eee eee eee ee eocececere reece e see eeeeeseeeeeee CASIO E http world casio com edu_e Important Please keep your manual and all information handy for future reference CASIO ELECTRONICS CO LTD Unit 6 1000 North Circular Road London NW2 7JD U K Before getting started MIModes dp ie donnnan aa oan Mathematical Expression Calculations and Editing Functions cccsesseseees 3 M Replay Copy sisi inassaianeaviessutenvasesuss 3 MECALC Memory eieae sgaid 4 E SOLVE FUR CH OMT so scciecccconsorenisveanaeterncinenenieeneecens Scientific Function Calculations z Winputting Engineering Symbols 0 0 0 eee Complex Number Calculations E Absolute Value and Argument Calculation 8 E Rectangular Form lt gt Polar Form Display 8 E Conjugate of a Complex Number 9 Base n Calculations 9 Statistical Calculations 00 11 Normal Distribution 0 c ecceeeeeeeeeeeeeeeeeeeeeeeeneees 11 Differential Calculations 12 Integration Calculations sss
8. is calculator is powered by a single AA size battery e 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 e To replace the battery Press e to turn power off screw Schaw 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 correctly Replace the back cover and secure it in place with the six screws Press 6 to turn power on Auto Power Off Calculator power automatically turns off if you do not perform any operation for about six minutes When this happens press 05 to turn power back on E 15 Power Supply fx 100MS fx 115MS Single AA size battery R6P SUM 3 Solar cell and a single G13 Type button battery LR44 Battery Life fx 100MS fx 115MS Approximately 17 000 hours continuous display of flashing cursor Approximately 2 years when left with power turned off Approximately 3 years 1 hour use per day Dimensions fx 100MS fx 115MS Weight fx 100MS fx 115MS 20 0 H x 78 W x 155 D mm 13 16 H x 31 16 W x 61 8 D 12 7 H x 78 W x 154 5 D mm 1 2 H x 31 16 W x
9. les 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 R amp T 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 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 3i 4 5i 6 81 Real part 6 20 0 0B 0B 5 0B Imaginary part 8i S101 Re Im E 7 E Absolute Value and Argument Calculation Supposing the imaginary number expressed by the rectangular form z a biis 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 r 5 wr avs C 3 4 0 53 13010235 ur aro C 3 EB 4 The complex number can also be input using the polar form r40 e Example 2 22 45 1 i Angle unit Deg 2 e 2 45 B our E Rectangular Form lt gt Polar Form Display You can use the operation described below to convert a rec
10. mber of partitions entirely if you want Internal integration calculations may take considerable time to complete e Display contents are cleared while an integration calculation is being performed internally E 13 Power Supply The type of battery you should use depends on the model number of your calculator fx 115MS The TWO WAY POWER system actually has two power supplies a solar cell and a G13 Type LR44 button battery Normally calculators equipped with a solar cell alone can operate only when relatively bright light is present The TWO WAY POWER system however lets you continue to use the calculator as long as there is enough light to read the display e Replacing the Battery Either of the following symptoms indicates battery power is low and that the battery should be replaced e Display figures are dim and difficult to read in areas where there is little light available e Nothing appears on the display when you press the ON key e To replace the battery Remove the five screws that screw Screw hold the back cover in place and then remove the back cover Remove the old battery Wipe off the sides of new battery with a dry soft cloth Load it into the unit with the positive side facing up so you can see it Replace the back cover and secure it in place with the five screws Press 0 to turn power on Be sure not to skip this step E 14 fx 100MS Th
11. see 13 Power Supply esscssecssseesseeeeeenseeeeseenes 14 Specifications cseccseeeeseeeeeeeee 16 See the fx 95MS fx 100MS fx 115MS fx 570MS fx 991MS User s Guide for details about the following items Removing and Replacing the Calculator s Cover Safety Precautions Handling Precautions Two line Display Before getting started except for Modes Basic Calculations Memory Calculations Scientific Function Calculations Equation Calculations Statistical Calculations Technical Information E 1 Before getting started E Modes Before starting a calculation you must first enter the correct mode as indicated in the table below e The following table shows the modes and required operations for the fx 100MS and fx 115MS fx 100MS and fx 115MS Modes To perform this type of Perform this To enter calculation key operation this mode Basic arithmetic calculations woe COMP Complex number calculations t 2 CMPLX Standard deviation rooe mone 4 SD Regression calculations rom mon C2 REG Base n calculations rone mone C3 BASE Solution of equations mone mone moo 4 EQN Pressing the key more than three times displays additional setup screens Setup screens are described where they are actually used to change the calculator setup In this manual the name of the mode you need to enter in order to
12. ssion the function of variable x the point a at which the dif ferential coefficient is calculated and the change in x Ax expression CJ a C AxO Example To determine the derivative at point x 2 for the function y 3x 5x 2 when the increase or de crease in x is Ax 2 x 10 Result 7 Grr war 3 ww X G2 Ba 5 ww X 26 20 200 08B E 12 e You can omit input of Ax if you want The calculator automatically substitutes an appropriate value for Ax if you do not input one Discontinuous points and extreme changes in the value of x can cause inaccurate results and errors Integration for AT EL The procedure described below obtains the definite integral of a function Use the key to enter the COMP Mode when you want to perform integration calculations The following four inputs are required for integration calculations a function with the variable x a and b which define the integration range of the definite integral and n which is the number of partitions equivalent to N 2 for integration using Simpson s rule fa expression CI a CI bE nO Example 2x 3x 8 dx 150 6666667 Number of partitions n 6 x lt ax 2 w OC Gz E 3 fer 8GJ1G 50 60 i Note e You can specify an integer in the range of 1 to 9 as the number of partitions or you can skip input of the nu
13. tangular form complex number to its polar form anda polar form complex number to its rectangular form Press eur to toggle the display between the absolute value r and argument 6 e Example 1 i gt 1 414213562 Z 45 Angle unit Deg 1 i Gu rze EQ Gur Re D 2 ur 2 45 Gur ari EQ our fe m E 8 e You select rectangular form a bi or polar form r40 for display of complex number calculation results ooe 4 Disp gt 4 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 23 2 34 a Gur conio CO 1 CI 23 EB 20 34G Base n Calculations BASES Use the M 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 d
14. tement 4 4 5 5 6 6 Use 4 and C to display the expression 4 4 Press 4 COPY E 3 e You can also edit expressions on the display and per form other multi statement operations For more details about using multi statements see Multi statements in the separate Users Guide e Only the expressions in replay memory starting from the currently displayed expression and continuing to the last expression are copied Anything before the displayed expression is not copied E CALC Memory CCOMP CMPLX e CALC memory lets you temporarily store a mathematical expression that you need to perform a number of times using different values Once you store an expression you can recall it input values for its variables and calculate a result quickly and easily You can store a single mathematical expression with up to 79 steps Note that CALC memory can be used in the COMP Mode and CMPLX Mode only The variable input screen shows the values currently assigned to the variables Example Calculate the result for Y X 3X 12 when X 7 Result 58 and when X 8 Result 76 Input the function wry CY eo S e OO OF E 3 4 CO 12 Store the expression Input 7 for X prompt 78 Input 8 for X prompt e 8 Note that the expression you store is cleared whenever you start another operation change to another mode or turn off the calculator E SO
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