Casio fx-50F User Manual

Casio calculator user's guide fx-50f.
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fx-50F PLUS
User's Guide

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  • Page 1

    PLUS User's Guide RCA502903-001V01...

  • Page 2: Getting Started, Before Using The Calculator For The fi Rst Time

    A After you are fi nished using the calculator... Remove the hard case from the back of the calculator, and re-install it onto the front. Resetting the Calculator to Initial Defaults Perform the operation below when you want to return the calculator’s setup to its initial defaults.

  • Page 3: Safety Precautions

    • The contents of this manual are subject to change without notice. • In no 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 this product and items that come with it.

  • Page 4: Operating Precautions

    • Avoid use and storage of the calculator 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.

  • Page 5: Table Of Contents

    Contents Getting Started ...1 Before using the calculator for the fi rst time..1 Resetting the Calculator to Initial Defaults... 1 About this Manual ... 1 Safety Precautions ...2 Operating Precautions ...3 Before starting a calculation..6 Turning On the Calculator ... 6 Key Markings ...

  • Page 6: Table Of Contents

    Command Reference ... 65 Appendix ...71 Calculation Priority Sequence ... 71 Stack Limitations ... 72 Calculation Ranges, Number of Digits, and Precision ... 73 Error Messages ... 74 Before assuming malfunction of the calculator..76 Power Requirements ...76 Specifi cations ...77...

  • Page 7: Before Starting A Calculation, Turning On The Calculator, Key Markings

    Before starting a calculation... Turning On the Calculator Press . The calculator will enter the calculation mode (page 7) that it was in the last time you turned it off. A Adjusting Display Contrast If the fi gures on the display become hard to read, try adjusting display contrast.

  • Page 8: Reading The Display, Calculation Modes And Setup, Selecting A Calculation Mode

    A Display Symbols The symbols described below appear on the display of the calculator to indicate the current calculation mode, the calculator setup, the progress of calculations, and more. In this manual, the expression “turn on” is used to mean that a symbol appears on the display, and “turn off”...

  • Page 9: Calculator Setup

    Calculator Setup The calculator setup can be used to confi gure input and output settings, calculation parameters, and other settings. The setup can be confi gured using setup screens, which you access by pressing !, (SETUP). There are six setup screens, and you can use to navigate between them.

  • Page 10

    The following explains how calculation results are displayed in accordance with the setting you specify. • From zero to nine decimal places are displayed in accordance with the number of decimal places (Fix) you specify. Calculation results are rounded off to the specifi ed number of digits.

  • Page 11: Clearing The Calculation Mode And Setup Settings, Inputting Calculation Expressions And Values

    Perform the following key operation to clear the calculation mode and setup settings. !9 (CLR) 2 (Setup) w If you do not want to clear the calculator’s settings, press A in place of w in the above operation . Inputting Calculation Expressions...

  • Page 12: Omitting The Multiplication Sign

    A Omitting the Multiplication Sign You can omit the multiplication sign in the following cases. • Immediately before an open parenthesis: 2 × (5 + 4) • Immediately before a scientifi c function with parentheses: 2 × sin(30), 2 × ' (3) •...

  • Page 13: Editing A Calculation

    Editing a Calculation A Insert Mode and Overwrite Mode The calculator has two input modes. The insert mode inserts your input at the cursor location, shifting anything to the right of the cursor to make room. The overwrite mode replaces the key operation at the cursor location with your input.

  • Page 14: Finding The Location Of An Error

    A Editing a Key Operation within an Expression With the insert mode, use you want to edit, press D to delete it, and then perform the correct key operation. With the overwrite mode, move the cursor to the key operation you want to correct and then perform the correct key operation.

  • Page 15: Basic Calculations, Arithmetic Calculations, Fractions

    Example 1: 2.5 + 1 − 2 = 1.5 Example 2: 7 × 8 − 4 × 5 = 36 • The calculator determines the proper priority sequence for addition, subtraction, multiplication, and division automatically. See “Calculation Priority Sequence” on page 71 for more information.

  • Page 16

    Use the procedure below to toggle a displayed calculation result between decimal and fraction format. Example: 1.5 = 1 Note The calculator cannot switch from decimal to fraction format if the total number of fraction elements (integer + numerator + denominator + separator symbols) is greater than 10. 3$1$4+ 1$2$3w...

  • Page 17: Percent Calculations

    Percent Calculations Inputting a value and with a percent (%) sign makes the value a percent. The percent (%) sign uses the value immediately before it as the argument, which is simply divided by 100 to get the percentage value. A Percent Calculation Examples Example 1: 2 % = 0.02 Example 2: 150 ×...

  • Page 18: Degree, Minute, Second (sexagesimal) Calculations

    Example 8: What is the percentage change when a value is increased from 40 to 46? How about to 48? Insert Mode Degree, Minute, Second (Sexagesimal) Calculations You can perform calculations using sexagesimal values, and you can convert between sexagesimal and decimal. A Inputting Sexagesimal Values The following is basic syntax for inputting a sexagesimal value.

  • Page 19: Calculation History And Replay, Accessing Calculation History

    Example: To convert 2.255 to sexagesimal Calculation History and Replay Calculation history maintains a record of each calculation you perform, including the expressions you input and calculation results. You can use calculation history in the COMP, CMPLX, and BASE Modes. Accessing Calculation History symbol in the upper right corner of the display indicates that there is data stored in calculation history.

  • Page 20: Using Replay, Calculator Memory Operations, Using Answer Memory (ans)

    The types of memory described above are not cleared when you press the A key, change to another mode, or turn off the calculator. Using Answer Memory (Ans) The result of any new calculation you perform on the calculator is stored automatically in Answer Memory (Ans). displays the cursor at the beginning of the displays it at the end.

  • Page 21

    Example 2: To determine the square root of the result of 3 Note • As in the above examples, the calculator automatically inserts Ans as the argument of any calculation operator or scientifi c function you input while a calculation result is on the display.

  • Page 22: Using Independent Memory

    A Inserting Ans into a Calculation Manually You can insert Ans into a calculation at the current cursor location by pressing the K key. Example 1: To use the result of 123 + 456 in another calculation as shown below 123 + 456 = 579 Example 2: To determine the square root of 3 Using Independent Memory...

  • Page 23: Using Variables

    99 ÷ 3 = 33 (Total) 22 Using Variables The calculator supports six variables named A, B, C, D, X, and Y, which you can use to store values as required. A Assigning a Value or Calculation Result to a Variable Use the procedure shown below to assign a value or a calculation expression to a variable.

  • Page 24: Clearing All Memory Contents, Pi ( π ) And Natural Logarithm Base E

    ) and Natural Logarithm Base e Pi ( The calculator supports input of pi ( π ) and natural logarithm base are supported in all modes, except for the BASE Mode. The following are the values that the calculator applies for each of the built-in constants.

  • Page 25: Scientifi C Constants

    Scientifi c Constants Your calculator has 40 often-used scientifi c constants built in. Like π and constant has a unique display symbol. Scientifi c constants are supported in all modes, except for the BASE Mode. A Inputting a Scientifi c Constant 7 (CONST).

  • Page 26

    A Table of Scientifi c Constants The numbers in the “No.” column show the scientifi c constant menu page number on the left and the number key you need to press to select the constant when the proper menu page is displayed.

  • Page 27: Scientifi C Function Calculations

    10-4 Standard atmosphere • Source: 2000 CODATA recommended values Scientifi c Function Calculations Unless otherwise noted, the functions in this section can be used in any of the calculator’s calculation modes, except for the BASE Mode. Scientifi c Function Calculation Precautions •...

  • Page 28: Trigonometric And Inverse Trigonometric Functions, Angle Unit Conversion

    Trigonometric and Inverse Trigonometric Functions A Syntax and Input sin({ }), cos({ }), tan({ Example: sin 30 = 0.5, sin A Notes • These functions can be used in the CMPLX Mode, as long as a complex number is not used in the argument.

  • Page 29: Hyperbolic And Inverse Hyperbolic Functions, Exponential And Logarithmic Functions

    Hyperbolic and Inverse Hyperbolic Functions sinh(, cosh(, tanh(, sinh A Syntax and Input sinh({ }), cosh({ }), tanh({ Example: sinh 1 = 1.175201194 A Notes • After pressing to specify a hyperbolic function or hyperbolic function, press s , c , or t . •...

  • Page 30: Power Functions And Power Root Functions, Coordinate Conversion (rectangular ↔ Polar)

    ' ( are also supported in the CMPLX Mode, but complex number arguments are not supported for these functions. Coordinate Conversion (Rectangular ↔ Polar) Your calculator can convert between rectangular coordinates and polar coordinates. Rectangular Coordinates (Rec) –1 , ^(, ' (,...

  • Page 31

    A Syntax and Input Rectangular-to-Polar Coordinate Conversion (Pol) Pol( : Rectangular coordinate : Rectangular coordinate Polar-to-Rectangular Coordinate Conversion (Rec) Rec( : Polar coordinate : Polar coordinate -value Example 1: To convert the rectangular coordinates ( (Angle Unit: Deg) (View the value of ) Example 2: To convert the polar coordinates (2, 30°) to rectangular coordinates (Angle Unit: Deg) (View the value of...

  • Page 32: Other Functions

    Syntax: Ran# Example: To use 1000Ran# to obtain three 3-digit random numbers. • The above values are provided for example only. The actual values produced by your calculator for this function will be different. !, Abs(, Ran#, , Rnd( (5+3)

  • Page 33

    A Permutation ( Syntax: { }, { Example: How many four-person permutations and combinations are possible for a group of 10 people? A Rounding Function (Rnd) You can use the rounding function (Rnd) to round the value, expression, or calculation result specifi...

  • Page 34: Eng Calculation Examples

    (Rounded result) Using 10 (ENG) Engineering notation (ENG) expresses quantities as a product of a positive number between 1 and 10 and a power of 10 that is always a multiple of three. There are two types of engineering notation, ENG / and ENG , . Function ENG / ENG ,...

  • Page 35: Complex Number Calculations (cmplx), Inputting Complex Numbers, Complex Number Calculation Result Display

    Example: To input 5 Important! When inputting argument , enter a value that indicates an angle in accordance with the calculator’s current default angle unit setting. Complex Number Calculation Result Display When a calculation produces a complex number result, R ⇔...

  • Page 36: Calculation Result Display Examples

    A Default Complex Number Calculation Result Display Format You can select either rectangular coordinate format or polar coordinate format for complex number calculation results. Imaginary axis Rectangular Coordinates Use the setup screens to specify the default display format you want. For details, see “Specifying the Complex Number Display Format”...

  • Page 37: Conjugate Complex Number (conjg), Absolute Value And Argument (abs, Arg)

    A Polar Coordinate Format ( r , (SETUP) Example 1: 2 × ( ) = 2 = 1.414213562 ∠ 45 (Angle Unit: Deg) Example 2: 1 + 1 Conjugate Complex Number (Conjg) You can perform the operation below to obtain conjugate complex number complex number Example: Obtain the conjugate complex number of 2 + 3 Absolute Value and Argument (Abs, arg)

  • Page 38: Overriding The Default Complex Number Display Format

    Absolute Value: Argument: Overriding the Default Complex Number Display Format You can use the procedures described below to override the default complex number display format and specify a particular display format for the calculation you are currently inputting. A Specifying Rectangular Coordinate Format for a Calculation Input ) at the end of the calculation.

  • Page 39: Statistical Calculations (sd/reg), Statistical Calculation Sample Data, Performing Single-variable Statistical Calculations

    You can input sample data either with statistical frequency turned on (FreqOn) or off (FreqOff). The calculator’s initial default setting is FreqOn. You can select the input method you want to use with the setup screen statistical frequency setting (page 9).

  • Page 40

    Example: To view the data you input in the example under “Inputting Sample Data” on page 38 (Frequency Setting: FreqOn) 24.5 (DT) tells the calculator this is the end of the fi rst data item. 25.5 , (;) 6 26.5 , (;) 2...

  • Page 41

    When the statistical frequency setting is FreqOn, data is displayed in the sequence: Freq1, , Freq2, and so on. In the case of FreqOff, it is displayed in the sequence: , and so on. You can also use A Editing a Data Sample To edit a data sample, recall it, input the new value(s), and then press Example: To edit the “Freq3”...

  • Page 42

    A Deleting All Sample Data Perform the following key operation to delete all sample data. 9 (CLR) 1 (Stat) If you do not want to delete all sample data, press A in place of A Statistical Calculations Using Input Sample Data To perform a statistical calculation, input the applicable command and then press determine the mean ( ) value of the current input sample data, for example, perform the operation shown below.

  • Page 43: Performing Paired-variable Statistical Calculations

    Performing Paired-variable Statistical Calculations To perform the example operations in this section, fi rst select REG ( calculation mode. A Regression Calculation Types The REG Mode lets you perform the seven types of regression listed below. The fi gures in the parentheses show the theoretical formulas.

  • Page 44

    A Inputting Sample Data Frequency On (FreqOn) The following shows the key operations required when inputting class values ( ), ...( ), and frequencies Freq1, Freq2, ... Freq } , { , (;) {Freq1} } , { , (;) {Freq2} } , { , (;) {Freq Note...

  • Page 45

    A REG Mode Statistical Command Reference Sum and Number of Sample Command (S-SUM Menu) 1 (S-SUM) 1 Obtains the sum of squares of the sample -data. Σ x Σ x 1 (S-SUM) 2 Obtains the sum of the sample Σ x Σ...

  • Page 46

    x σ 2 (S-VAR) 1 (VAR) 3 –1 Obtains the sample standard deviation of the sample -data. Σ (x σ –1 ¯ y 2 (S-VAR) 1 (VAR) Obtains the mean of the sample Σ y Σ y Regression Coeffi cient and Estimated Value Commands for Non- quadratic Regression (VAR Menu) The calculation that is performed when one of these commands is performed depends on the regression type that is currently selected.

  • Page 47

    Regression Coeffi cient and Estimated Value Commands for Quadratic Regression (VAR Menu) For details about the formula that is executed by each of these commands, see “Regression Coeffi cient and Estimated Value Calculation Formula Table” (page 47). Obtains constant term a of the regression formula. Obtains coeffi...

  • Page 48: Linear Regression, Quadratic Regression

    A Regression Coeffi cient and Estimated Value Calculation Formula Table The following table shows the calculation formulas used by the regression coeffi cient and estimated value commands for each regression calculation type. Linear Regression Command Regression Formula Constant Term a Regression Coeffi...

  • Page 49: Exponential Regression

    Logarithmic Regression Command Regression Formula Constant Term a Regression Coeffi cient b Correlation Coeffi cient r Estimated Value Estimated Value Exponential Regression Command Regression Formula Constant Term a Regression Coeffi cient b Correlation Coeffi cient r Estimated Value Estimated Value Exponential Regression Command Regression Formula...

  • Page 50: Power Regression

    Command Estimated Value Estimated Value Power Regression Command Regression Formula Constant Term a Regression Coeffi cient b Correlation Coeffi cient r Estimated Value Estimated Value Inverse Regression Command Regression Formula Constant Term a Regression Coeffi cient b Correlation Coeffi cient r However, Σ...

  • Page 51: Statistical Calculation Examples

    Estimated Value Statistical Calculation Examples This section provides some actual examples of statistical calculation examples as they are performed on your calculator. Example 1: The nearby table shows the pulse rates of 50 students who attend a high school for boys that has a total enrollment of 1,000 students.

  • Page 52

    Example 2: The nearby data shows how the weight of a newborn at various numbers of days after birth. 1 Obtain the regression formula and correlation coeffi cient produced by linear regression of the data. 2 Obtain the regression formula and correlation coeffi cient produced by logarithmic regression of the data.

  • Page 53

    Regression Coeffi cient b: Correlation Coeffi cient: 3 Weight Prediction The absolute value of the correlation coeffi cient for logarithmic regression is closer to 1, so perform the weight prediction calculation using logarithmic regression. Obtain when = 350: Base- Calculations (BASE) To perform the example operations in this section, fi...

  • Page 54

    A Example Base- n Calculations Example 1: To select binary as the number base and calculate 1 Example 2: To select octal as the number base and calculate 7 • Inputting an invalid value causes a Syntax ERROR. • In the BASE Mode, input of fractional (decimal) values and exponential values is not supported.

  • Page 55: Converting A Displayed Result To Another Number Base, Using The Logic Menu

    Converting a Displayed Result to another Number Base Pressing x (DEC), (HEX), will convert the result to the corresponding number base. Example: To convert the decimal value 30 Using the LOGIC Menu In the BASE Mode, the X key changes function to become a LOGIC menu display key. The LOGIC menu has three screens, and you can use them.

  • Page 56: Performing Calculations Using Logical Operations And Negative Binary Values

    Example: To perform the calculation 5 Performing Calculations Using Logical Operations and Negative Binary Values Your calculator can perform 10-digit (10-bit) binary logical operations and negative value calculations. All of the examples shown below are performed with BIN (binary) set as the default number base.

  • Page 57: Built-in Formulas, Using Built-in Formulas

    Returns the twos complement of a value. Example: Neg(101101 ) = 1111010011 Built-in Formulas Your calculator has 23 built-in formulas for mathematics and physics, which can be used in the COMP Mode. Using Built-in Formulas A Selecting a Built-in Formula by Its Formula Number 1.

  • Page 58

    Values you assign to formula variables when you perform a calculation with a built-in formula are retained until you change to another calculation mode, perform a memory clear 9 (CLR) 1 (Mem)), or reset the calculator ( operation ( means that you can execute a built-in calculation multiple times leaving one or more of the variables assigned with the same values as a previous execution, if you want.

  • Page 59: Built-in Formula List

    A Displaying a Built-in Formula While inputting values for the variables of a formula, you can display the formula by pressing (LOOK). • If the formula is too long to fi t on the display use the the missing part. •...

  • Page 60

    No. 05 Normal Probability Function Q( Uses Hastings’ estimate formula to determine the probability of a standard normal distribution Q( ) illustrated below when the standardized variate ( ∫ ∫ 2 π 2 π x < x < × × (0 ≦...

  • Page 61

    No. 10 Voltage Gain Determines the voltage gain ( E´ voltage ( ) are known. G[dB] G[dB] = 20 = 20 No. 11 Impedance in an LRC Series Circuit Determines the impedance ( coil inductance ( ), and capacitance ( π...

  • Page 62

    No. 15 Cycle of Simple Pendulum Determines the cycle ( ) of a simple pendulum with a string of length . = 2π = 2π : gravitational acceleration, > 0 : gravitational acceleration, > 0 No. 16 Cycle of Spring Pendulum Determines the cycle of simple oscillation ( weight ( ) and the spring constant of the spring (...

  • Page 63: Program Mode (prgm), Program Mode Overview

    No. 21 Bernoulli’s Theorem Determines the fi xed value ( the fl ow velocity ( ), location (height) ( No. 22 Calculations Using a Stadia (Height) Determines the difference in elevation ( is used to read the length on the leveling rod ( ) between the upper and lower stadia lines, and the angle of elevation ( ).

  • Page 64: Creating A Program

    Creating a Program A Creating a New Program Example: To create a program that converts inches to centimeters (1 inch = 2.54 cm) 1. Press ,g (PRGM) to enter the PRGM Mode. 2. Press b (EDIT). EDI T Pr o EDI T Pr o r am r am...

  • Page 65: Running A Program, Deleting A Program

    6. After inputting the program, press A or ! • To run the program you just created, press w here to display the RUN Program screen. For more information, see “Running a Program” below. • To return to the normal calculation screen, press ,b to enter the COMP Mode. A Editing an Existing Program 1.

  • Page 66: Inputting Commands, Command Reference

    2. Press d (DEL). DELETE Pr o DELETE Pr o r am r am P-1234 670 P-1234 670 3. Use number keys b through e to select the program area whose program you want to delete. • The symbol next to the number of the program area that contained the program you just deleted will turn off, and the remaining program memory capacity value will increase.

  • Page 67

    → (Variable Assignment) {expression ; ?} → {variable} Syntax Function Assigns the value obtained by the element on the left to the variable on the right. A+5 → A Example : (Separator Code) Syntax {statement} : {statement} : ... : {statement} Function Separates statements.

  • Page 68

    Lbl 1 : ? → A : A > 0 Example =, ≠, >, > , <, < (Relational Operators) Syntax {expression} {relational operator} {expression} Function These commands evaluate the expressions on either side, and return a value of true (1) or false (0). These commands are used in combination with the branching command If statements and While statements.

  • Page 69

    ? → A : While A > 0 : If A > 2 : Then Break : IfEnd : WhileEnd : A Example A Setup Commands These commands function the same way as the calculator’s various setup settings. For more information, see “Calculator Setup” on page 8. → B : B Next →...

  • Page 70

    Important! With some setup commands, the settings you confi gure remain in effect even after you fi nish running the program. Angle Unit Commands Deg, Rad, Gra Syntax .. : Deg : ..: Rad : ..: Gra : .. !, (SETUP) b (Deg) Operation !, (SETUP) c (Rad)

  • Page 71

    A Clear Commands ClrMemory Syntax .. : ClrMemory : .. !j (CLR) b (Mem) Operation Function This command clears all variables (A, B, C, D, X, Y, M) to zero. Note To clear a specifi c variable, use 0 → {variable}. ClrStat Syntax ..

  • Page 72: Appendix, Calculation Priority Sequence

    • Setup information clear ( !j (CLR) c (Setup) w ) Appendix k Calculation Priority Sequence The calculator performs calculations you input in accordance with the priority sequence shown below. • Basically, calculations are performed from left to right. • Calculations enclosed in parentheses are given priority.

  • Page 73: Stack Limitations

    ) )w k Stack Limitations This calculator uses memory areas called “stacks” for temporary storage of lower calculation priority sequence values, commands, and functions. The “numeric stack” has 10 levels and the “command stack” has 24 levels as shown in the illustration below.

  • Page 74: Calculation Ranges, Number Of Digits, And Precision

    Note When inputting a value in the CMPLX Mode, each value takes up two stack levels: one for the real part and one for the imaginary part. This means that the numeric stack has only fi ve levels in the CMPLX Mode.

  • Page 75: Error Messages

    Error Messages An error message will appear on the screen if you perform a calculation that causes a calculator’s limit to be exceeded, or if you try to perform some operation that is not allowed. Input Range <...

  • Page 76

    Note that a calculation expression that causes an error will not be included in calculation history. A Error Message Reference This section lists all of the error messages that the calculator displays, as well as their causes and what you need to do to avoid them.

  • Page 77: Before Assuming Malfunction Of The Calculator, Power Requirements

    3 If the above steps do not restore normal operation, press the p key. The calculator will perform a self-check of its status as it starts up. If the calculator discovers a problem, it will return its calculation mode and setup to their initial defaults, and clear all data currently in memory.

  • Page 78: Specifi Cations

    Be sure to perform this step! Do not skip it! A Auto Power Off Your calculator will turn off automatically if you do not perform any operation for about 10 minutes. If this happens, press the p key to turn the calculator back on.

  • Page 79

    CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany This mark applies in EU countries only.

  • Page 80

    CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA0603-A Printed in China...

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