E fx-50F PLUS User's Guide http://world.casio.
Getting Started Thank you for purchasing this CASIO product. k Before using the calculator for the first time... Turn over the calculator and slide it from the hard case as shown in the illustration. Next, slide the hard case onto the back of the calculator. A After you are finished using the calculator... Remove the hard case from the back of the calculator, and re-install it onto the front.
• The following shows the notation used in the manual for menu items that appear on the display (which are executed by pressing a number key). Example: b(Contrast) The notation in parentheses indicates the menu item accessed by the preceding number key. • The cursor key is marked with arrows indicating direction as shown in the illustration nearby. Cursor key operations are notated in this manual as: f, c, d, and e.
Operating Precautions • Be sure to press the O key before using the calculator for the first time. • Even if the calculator is operating normally, replace the battery at least once every three years. A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator. • 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.
Contents Getting Started .........................................................................................1 Before using the calculator for the first time... .................................................................... 1 Resetting the Calculator to Initial Defaults.......................................................................... 1 About this Manual............................................................................................................... 1 Safety Precautions ....
Coordinate Conversion (Rectangular ↔ Polar) ................................................................ 29 Other Functions ................................................................................................................ 31 3 Using 10 Engineering Notation (ENG) .................................................33 ENG Calculation Examples .............................................................................................. 33 Complex Number Calculations (CMPLX) .................
Before starting a calculation... k Turning On the Calculator Press O. 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 figures on the display become hard to read, try adjusting display contrast. 1. Press !N(SETUP) db(Contrast). L I GHT • This will display the contrast adjustment screen. DARK CASIO 2. Use d and e to adjust display contrast. 3. After the setting is the way you want, press A or !p(EXIT).
Function 7 A 8 LOGIC Colors To perform the function Text: Red Frame: Green Press a and then press the key (variable A). In the BASE Mode, press the key. Text: Green In the BASE Mode, press the key. k Reading the Display A Input Expressions and Calculation Results This calculator can display both the expressions you input and calculation results on the same screen.
2. Perform one of the following operations to select the calculation mode you want. To select this calculation mode: Press this key: COMP (Computation) b(COMP) CMPLX (Complex Number) c(CMPLX) BASE (Base n) d(BASE) SD (Single Variable Statistics) e(SD) REG (Paired Variable Statistics) f(REG) PRGM (Program) g(PRGM) • Pressing a number key from b to g selects the applicable mode, regardless of which menu screen is currently displayed.
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 specified number of digits. Example: 100 ÷ 7 = 14.286 (Fix = 3) 14.
k Clearing the Calculation Mode and Setup Settings Perform the procedure described below to clear the current calculation mode and all setup settings and initialize the calculator to the following. Calculation Mode ................................ COMP (Computation Mode) Angle Unit ........................................... Deg (Degrees) Exponential Display ............................. Norm1 Fraction Format .................................. ab/c (Mixed Fractions) Complex Number Format ...................
A Omitting the Multiplication Sign You can omit the multiplication sign in the following cases.
k 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.
ddd D 369 ×× 12 369 × 12 A Editing a Key Operation within an Expression With the insert mode, use d and e to move the cursor to the right of the key operation 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.
d1 w 14 ÷ 1I0×2 14 ÷ 10 × 2 28 • Instead of pressing e or d while an error message is displayed to find the location of the error, you could also press A to clear the calculation. Basic Calculations Unless otherwise noted, the calculations in this section can be performed in any of the calculator’s calculation mode, except for the BASE Mode. k Arithmetic Calculations Arithmetic calculations can be used to perform addition (+), subtraction (-), multiplication (*), and division (/). Example 1: 2.
A Fraction Calculation Examples Example 1: 3 1 2 11 +1 =4 4 3 12 3$1$4+ 1$2$3w Example 2: 4 – 3 1 1 = 2 2 4-3$1$2w 2 1 7 Example 3: + = (Fraction Display Format: d/c) 3 2 6 2$3+1$2w 3{1{4 + 1{2{3 4{11{12 4 – 3{1{2 2{3 + 1{2 1{2 7{6 Note • If the total number of elements (integer + numerator + denominator + separator symbols) of a fraction calculation result is greater than 10, the result will be displayed in decimal format.
k 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 ( 2 ) 10 0 Example 2: 150 × 20% = 30 2!((%)w (150 × 2% 002 20 ) 10 0 150*20 !((%)w 150 × 20% 30 Example 3: What percent of 880 is 660? 660/880 !((%)w 660 ÷ 880% 75 Example 4: Increase 2,500 by 15%.
Example 8: What is the percentage change when a value is increased from 40 to 46? How about to 48? Insert Mode (46-40)/40 !((%)w eeeeY8w ( 46 – 40 ) ÷ 40% 15 ( 48 – 40 ) ÷ 40% 20 k 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.
Example: To convert 2.255 to sexagesimal 2255 2 ˚ 15˚ 18 2255 2.255w $ $ 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. k Accessing Calculation History The ` symbol in the upper right corner of the display indicates that there is data stored in calculation history. To view the data in calculation history, press f.
k Using Replay While a calculation history record is on the display, press d or e to display the cursor and enter the editing mode. Pressing e displays the cursor at the beginning of the calculation expression, while d displays it at the end. After you make the changes you want, press w to execute the calculation. Example: 4 × 3 + 2.5 = 14.5 4 × 3 – 7.1 = 4.9 4*3+2.5w d DDDD -7.1w 4×3+ 2 . 5 145 4 × 3 + 2 . 5I 145 4 × 3I 145 4×3 –7 .
A Ans Update and Delete Timing When using Ans in a calculation, it is important to keep in mind how and when its contents change. Note the following points. • The contents of Ans are replaced whenever you perform any of the following operations: calculate a calculation result, add a value to or subtract a value from independent memory, assign a value to a variable or recall the value of a variable, or input statistical data in the SD Mode or REG Mode.
A Inserting Ans into a Calculation Manually You can insert Ans into a calculation at the current cursor location by pressing the K key.
Note Pressing m or 1m(M–) while a calculation result is on the display will add it to or subtract it from independent memory. Important! The value that appears on the display when you press m or 1m(M–) at the end of a calculation in place of w is the result of the calculation (which is added to or subtracted from independent memory). It is not the current contents of independent memory. A Viewing Independent Memory Contents Press tm(M).
A Clearing the Value Assigned to a Variable (to 0) Example: To clear variable A 01t(STO)-(A) A Calculation Example Using Variables Example: To perform calculations that assign results to variables B and C, and then use the variables to perform another calculation 9×6+3 5 × 8 = 1.
k Scientific Constants Your calculator has 40 often-used scientific constants built in. Like π and e, each scientific constant has a unique display symbol. Scientific constants are supported in all modes, except for the BASE Mode. A Inputting a Scientific Constant 1. Press 17(CONST). • This displays page 1 of the scientific constant menu. mp mn ne m μ 1 2 3 4 • There are 10 scientific command menu screens, and you can use e and d to navigate between them.
17(CONST) ddd4(ε0) 1 ÷'( ε0I 17(CONST) dd1(ƫ0)) 1 ÷'( ε 0 μ0 )I E 0 0 1 ÷'( ε 0 μ0 ) 299792458 A Table of Scientific Constants The numbers in the “No.” column show the scientific 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. No. Scientific Constant Symbol Value Unit –27 kg –27 kg –31 kg –28 kg 1-1 Proton mass mp 1.67262171×10 1-2 Neutron mass mn 1.67492728×10 1-3 Electron mass me 9.
No. Scientific Constant Symbol 6-4 Avogadro constant NA 7-1 Boltzmann constant k 7-2 Molar volume of ideal gas Vm 7-3 Molar gas constant R Value Unit 23 mol –23 JK –3 m mol 6.0221415×10 1.3806505×10 8.314472 J mol Speed of light in vacuum C0 8-1 First radiation constant C1 8-2 Second radiation constant C2 8-3 Stefan-Boltzmann constant σ 8-4 Electric constant ε0 8.854187817×10 9-1 Magnetic constant µ0 12.
k Trigonometric and Inverse Trigonometric Functions –1 –1 –1 sin(, cos(, tan(, sin (, cos (, tan ( A Syntax and Input –1 –1 –1 sin({n}), cos({n}), tan({n}), sin ({n}), cos ({n}), tan ({n}) –1 Example: sin 30 = 0.5, sin 0.5 = 30 (Angle Unit: Deg) s30)w –1 1s(sin )0.5)w s i n ( 30 ) 05 s i n –1 ( 0. 5 ) 30 A Notes • These functions can be used in the CMPLX Mode, as long as a complex number is not used in the argument.
k Hyperbolic and Inverse Hyperbolic Functions –1 –1 –1 sinh(, cosh(, tanh(, sinh (, cosh (, tanh ( A Syntax and Input –1 –1 –1 sinh({n}), cosh({n}), tanh({n}), sinh ({n}), cosh ({n}), tanh ({n}) Example: sinh 1 = 1.175201194 ws(sinh)1)E s i nh ( 1 ) 1175201194 A Notes • After pressing w to specify a hyperbolic function or 1w to specify an inverse hyperbolic function, press s, c, or t. • These functions can be used in the CMPLX Mode, but complex number arguments are not supported.
k Power Functions and Power Root Functions x2, x3, x–1, ^(, '(, 3'(, x'( A Syntax and Input 2 2 {n} x ............................... {n} 3 3 {n} x ............................... {n} –1 –1 {n} x ............................. {n} { } {(m)}^({n}) ....................... {m} n '({n}) .......................... {n} 3 3 '({n}) ......................... {n} { } ({m})x'({n}) ..................
A Syntax and Input Rectangular-to-Polar Coordinate Conversion (Pol) Pol(x, y) x: Rectangular coordinate x-value y: Rectangular coordinate y-value Polar-to-Rectangular Coordinate Conversion (Rec) Rec(r, Ƨ) r: Polar coordinate r-value Ƨ: Polar coordinate Ƨ-value Example 1: To convert the rectangular coordinates (' 2, ' 2 ) to polar coordinates (Angle Unit: Deg) 1+(Pol)92) ,92))E t,(Y) (View the value of Ƨ) Po l ('( 2 ) ,'( 2 ) ) 2 Y 45 Example 2: To convert the polar coordinates (2, 30°) to rectangular
k Other Functions x!, Abs(, Ran#, nPr, nCr, Rnd( The x!, nPr, and nCr functions can be used in the CMPLX Mode, but complex number arguments are not supported. A Factorial (!) Syntax: {n}! ({n} must be a natural number or 0.) Example: (5 + 3)! (5+3) 1X(x!)E (5+3 ) ! 40320 A Absolute Value (Abs) When you are performing a real number calculation, Abs( simply obtains the absolute value. This function can be used in the CMPLX Mode to determine the absolute value (size) of a complex number.
A Permutation (nPr)/Combination (nCr) Syntax: {n}P{m}, {n}C{m} Example: How many four-person permutations and combinations are possible for a group of 10 people? 101*(nPr)4E 101/(nCr)4E 10P4 5040 10C4 210 A Rounding Function (Rnd) You can use the rounding function (Rnd) to round the value, expression, or calculation result specified by the argument. Rounding is performed to the number of significant digits in accordance with the number of display digits setting.
*14E (Rounded result) Ans × 14 399994 Using 103 Engineering Notation (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,.
Complex Number Calculations (CMPLX) To perform the example operations in this section, first select CMPLX (N2) as the calculation mode. k Inputting Complex Numbers A Inputting Imaginary Numbers (i) In the CMPLX Mode, the W key is used to input the imaginary number i. Use W(i) when inputting complex numbers using rectangular coordinate format (a+bi).
1E(Re⇔Im) 2+ i 1 Displays imaginary part. (i symbol turns on during imaginary part display.) 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 Imaginary axis o r /u a + bi b a Real axis Real axis o Rectangular Coordinates Polar Coordinates Use the setup screens to specify the default display format you want.
A Polar Coordinate Format (r∠Ƨ) 1,(SETUP)eee2(r∠Ƨ) Example 1: 2 × (' 3 + i) = 2' 3 + 2i = 4 ∠ 30 2*(93)+W(i))E 2 × ('( 3 ) + i ) 1E(Re⇔Im) 2 × ('( 3 ) + i ) 4 30 ∠ symbol turns on during display of Ƨ-value. Example 2: 1 + 1i = 1.414213562 ∠ 45 (Angle Unit: Deg) 1+1W(i)E 1E(Re⇔Im) 1 +1 i 1414213562 1 +1 i 45 k Conjugate Complex Number (Conjg) You can perform the operation below to obtain conjugate complex number ¯z = a + bi for the complex number z = a + bi.
Absolute Value: 1)(Abs)2+2W(i))E Abs ( 2 + 2 i ) 2828427125 Argument: 1((arg)2+2W(i))E ar g( 2 + 2 i ) 45 k 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 1-('a+bi) at the end of the calculation.
Statistical Calculations (SD/REG) k Statistical Calculation Sample Data A Inputting Sample Data 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). A Maximum Number of Input Data Items The maximum number of data items you can input depends on whether frequency is on (FreqOn) or off (FreqOff).
Example: To input the following data Class Value (x) Frequency (Freq) 24.5 4 25.5 6 26.5 2 24.51,(;)4 m(DT) 24 .5 ; 4I 0 L i ne = 1 m(DT) tells the calculator this is the end of the first data item. 25.51,(;)6m(DT) 26.51,(;)2m(DT) L i ne = 2 L i ne = 3 Frequency Off (FreqOff) In this case, input each individual data item as shown below. {x1}m(DT) {x2}m(DT) ...
c c x 2= 255 F r eq2= 6 When the statistical frequency setting is FreqOn, data is displayed in the sequence: x1, Freq1, x2, Freq2, and so on. In the case of FreqOff, it is displayed in the sequence: x1, x2, x3, and so on. You can also use f to scroll in the reverse direction. A Editing a Data Sample To edit a data sample, recall it, input the new value(s), and then press E.
A Deleting All Sample Data Perform the following key operation to delete all sample data. 19(CLR)1(Stat)E If you do not want to delete all sample data, press A in place of E in the above operation. A Statistical Calculations Using Input Sample Data To perform a statistical calculation, input the applicable command and then press E. To determine the mean (o) value of the current input sample data, for example, perform the operation shown below.
k Performing Paired-variable Statistical Calculations To perform the example operations in this section, first select REG (N5) as the calculation mode. A Regression Calculation Types The REG Mode lets you perform the seven types of regression listed below. The figures in the parentheses show the theoretical formulas.
A Inputting Sample Data Frequency On (FreqOn) The following shows the key operations required when inputting class values (x1, y1), (x2, y2), ...(xn, yn), and frequencies Freq1, Freq2, ... Freqn. {x1},{y1}1,(;) {Freq1} m(DT) {x2},{y2}1,(;) {Freq2} m(DT) {xn},{yn}1,(;) {Freqn} m(DT) Note If the frequency of a class value is only one, you can input it by pressing {xn},{yn}m(DT) only (without specifying the frequency). Frequency Off (FreqOff) In this case, input each individual data item as shown below.
y 12(S-VAR)1(VAR)e yσn 1 2 yσn–1 3 y 1E 14 * This is one example of possible calculation results. A REG Mode Statistical Command Reference Sum and Number of Sample Command (S-SUM Menu) ƙx2 11(S-SUM)1 Obtains the sum of squares of the sample x-data. ƙxy Σx2 = Σxi2 ƙx Σx = Σxi n Σxy = Σxiyi 11(S-SUM)2 Obtains the sum of the sample x-data. ƙx2y Σx2y = Σxi2yi ƙx3 Obtains the number of samples.
xσn–1 yσn 12(S-VAR)1(VAR)3 Obtains the sample standard deviation of the sample x-data. xσn –1 = 12(S-VAR)1(VAR)e2 Obtains the population standard deviation of the sample y-data. Σ(xi – o)2 n–1 yσn = Σ (yi – y)2 n yσn–1 12(S-VAR)1(VAR)e3 y¯ Obtains the sample standard deviation of the sample y-data. 12(S-VAR)1(VAR)e1 Obtains the mean of the sample y-data.
Regression Coefficient and Estimated Value Commands for Quadratic Regression (VAR Menu) For details about the formula that is executed by each of these commands, see “Regression Coefficient and Estimated Value Calculation Formula Table” (page 47). 12(S-VAR)1(VAR)ee1 a Obtains constant term a of the regression formula. 12(S-VAR)1(VAR)ee2 b Obtains coefficient b of the regression formula. 12(S-VAR)1(VAR)ee3 c Obtains coefficient c of the regression formula.
A Regression Coefficient and Estimated Value Calculation Formula Table The following table shows the calculation formulas used by the regression coefficient and estimated value commands for each regression calculation type. Linear Regression Command Regression Formula Constant Term a Regression Coefficient b Correlation Coefficient r Estimated Value m Estimated Value ţ Calculation Formula Σyi – b.Σxi a= n n.Σxiyi – Σxi.Σyi b= . 2 n Σxi – (Σxi)2 n.Σxiyi – Σxi.Σyi r= . {n Σxi2 – (Σxi)2}{n.
Logarithmic Regression Command Regression Formula Constant Term a Regression Coefficient b Correlation Coefficient r Calculation Formula Σyi – b.Σlnxi a= n n.Σ(lnxi)yi – Σlnxi .Σyi b= n.Σ(lnxi)2 – (Σlnxi)2 n.Σ(lnxi)yi – Σlnxi.Σyi r= {n.Σ(lnxi)2 – (Σlnxi)2}{n.Σyi2 – (Σyi)2} y–a Estimated Value m Estimated Value n m=e b n = a + blnx e Exponential Regression Command Calculation Formula Regression Formula Constant Term a .
Command Calculation Formula lny – lna m= lnb n = abx Estimated Value m Estimated Value n Power Regression Command Calculation Formula . a = exp Σlnyi – b Σlnxi ( Regression Formula Constant Term a n ) n.Σlnxilnyi – Σlnxi.Σlnyi n.Σ(ln xi)2 – (Σln xi)2 n.Σlnxilnyi – Σlnxi.Σlnyi r= . {n Σ(lnxi)2 – (Σlnxi)2}{n.
Command Calculation Formula b Estimated Value m m= Estimated Value n n=a+ y–a b x k 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. Determine the mean and standard deviation of the sample data.
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 coefficient produced by linear regression of the data. 2 Obtain the regression formula and correlation coefficient produced by logarithmic regression of the data. 3 Predict the weight 350 days after birth based on the regression formula that best fits the trend of the data in accordance with the regression results.
Regression Coefficient b: 12(S-VAR)1(VAR)ee2(b)E b 2425756228 Correlation Coefficient: 12(S-VAR)1(VAR)ee3(r)E r 0991493123 3 Weight Prediction The absolute value of the correlation coefficient for logarithmic regression is closer to 1, so perform the weight prediction calculation using logarithmic regression. Obtain ţ when x = 350: 350 12(S-VAR)1(VAR)d2(n)E 350 y 1000056129 Base-n Calculations (BASE) To perform the example operations in this section, first select BASE (N3) as the calculation mode.
A Example Base-n Calculations Example 1: To select binary as the number base and calculate 12 + 12 Al(BIN)1+1E 1+ 1 10 b 10 o Example 2: To select octal as the number base and calculate 78 + 18 Ai(OCT)7+1E 7+ 1 • Inputting an invalid value causes a Syntax ERROR. • In the BASE Mode, input of fractional (decimal) values and exponential values is not supported. Anything to the right of the decimal point of calculation results is cut off.
k Converting a Displayed Result to another Number Base Pressing x(DEC), M(HEX), l(BIN), or i(OCT) while a calculation result is displayed will convert the result to the corresponding number base. Example: To convert the decimal value 3010 to binary, octal, and hexadecimal format Ax(DEC)30E l(BIN) i(OCT) M(HEX) 30 30 d 11110 b 36 o 1E H 30 30 30 k Using the LOGIC Menu In the BASE Mode, the X key changes function to become a LOGIC menu display key.
A Example Calculation Using Base-n Specification Example: To perform the calculation 510 + 516, and display the result in binary Al(BIN)X(LOGIC)d1(d) 5+X(LOGIC)d2(h)5E d5 + h5 1010 b k 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.
A Complement/Inversion (Not) Returns the complement (bitwise inversion) of a value. Example: Not(10102) = 11111101012 X(LOGIC)e2(Not)1010) E No t ( 1010 ) 1111110101 b A Negation (Neg) Returns the twos complement of a value. Example: Neg(1011012) = 11110100112 X(LOGIC)e3(Neg) 101101)E Ne g ( 10 1101 ) 1111010011 b Built-in Formulas Your calculator has 23 built-in formulas for mathematics and physics, which can be used in the COMP Mode.
E (Prompt for input for variable a) a 0 Input 8 for variable a: 8E b 0 5E c 0 Input 5 for variable b: Input 5 for variable c: 5E s 03 : He r onFormul a 12 • As shown above, the calculation result appears after you assign values to all of the required variables. • Pressing E while a calculation result is on the display will re-execute the formula from the beginning.
A Displaying a Built-in Formula While inputting values for the variables of a formula, you can display the formula by pressing 1G(LOOK). (Value Input Screen) a 1G(LOOK) 0 03 : S='(s ( s – a ) ( s – • If the formula is too long to fit on the display use the e key to scroll to the right to view the missing part. • To clear the formula from the display, press 1p(EXIT) or A. k Built-in Formula List No. 01 Quadratic Equation Solution Solves a quadratic equation using values you specify for a, b, and c.
Normal Probability Function Q(x) No. 05 Uses Hastings’ estimate formula to determine the probability of a standard normal distribution Q(x) illustrated below when the standardized variate (x) is known. 1 2π Q (x) = (0 ≦ x ∫ |x| 0 e − t2 2 Q（x） dt < 1 × 10 50) x Important! Since this is an estimate formula, proper precision may not be obtainable. No. 06 Coulomb’s Law Determines the force (F) between two charges of quantities Q and q, over a separation of r. F= 1 Qq 4πε 0 r 2 No.
No. 10 Voltage Gain Determines the voltage gain (G) of an amplifier circuit when input voltage (E) and output voltage (E´) are known. ( ) ' G[dB] = 20 log 10 E E No. 11 ( E' / E > 0) [dB] Units: E and EϢ: V, G: dB Impedance in an LRC Series Circuit Determines the impedance (Z) of an LRC series circuit of frequency f, when resistance (R), coil inductance (L), and capacitance (C) are known. Z = R 2+ No.
No. 15 Cycle of Simple Pendulum Determines the cycle (T) of a simple pendulum with a string of length . T = 2π No. 16 g (g: gravitational acceleration, > 0) Units: : m, T: seconds Cycle of Spring Pendulum Determines the cycle of simple oscillation (T) of a spring pendulum when the mass of the weight (m) and the spring constant of the spring (k) are known. T = 2π m k No.
No. 21 Bernoulli’s Theorem Determines the fixed value (C) of an inviscid fluid (steady flow, incompressible fluid) when the flow velocity (v), location (height) (z), specific weight ( ρ ), and pressure (P) are known. C = 1 v 2+ ρP + gz 2 (g: gravitational acceleration, v, z, ρ , P > 0) Units: No.
k Creating a Program A Creating a New Program Example: To create a program that converts inches to centimeters (1 inch = 2.54 cm) ? → A : A × 2.54 1. Press ,g(PRGM) to enter the PRGM Mode. ED I T RUN DEL 1 2 3 2. Press b(EDIT). Program areas that already contain program data (P1 through P4) EDI T Pr o g r am P-1234 670 Remaining program memory capacity 3. Press the number key that corresponds to an unused program area number. • This displays the run mode selection menu.
6. After inputting the program, press A or !5(EXIT). • 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. Press ,g(PRGM)b(EDIT) to display the EDIT Program screen. 2. Use number keys b through e to select the program area that contains the program you want to edit. 3.
2. Press d(DEL). Program areas that already contain program data (P1 through P4) DELETE Pr o g r am P-1234 670 Remaining program memory capacity 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 DELETE Pr o g r am that contained the program you just deleted will turn off, and the remaining program memory capacity value will increase. P-1234 680 k Inputting Commands A Inputting Special Program Commands 1.
→ (Variable Assignment) Syntax Function Example {expression ; ?} → {variable} Assigns the value obtained by the element on the left to the variable on the right. A+5 → A : (Separator Code) Syntax Function Example {statement} : {statement} : ... : {statement} Separates statements. Does not stop program execution. 2 2 ? → A : A : Ans ^ (Output Command) Syntax Function Example {statement} ^ {statement} Pauses program execution and displays the result of the current execution.
Example Lbl 1 : ? → A : A > 0 S '(A) ^ Goto 1 =, ≠, >, >, <, < (Relational Operators) Syntax Function Example {expression} {relational operator} {expression} 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 S, and when structuring the {conditional expression} of If statements and While statements. See the entries for S (page 66), If statement (page 67), and While statement (page 68).
For~To~Next Syntax Function Example For {expression (starting value)} → {variable (control variable)} To {expression (ending value)} : {statement} : ... {statement} : Next : .... Execution of the statements from For to Next repeats as the control variable is incremented by 1 with each execution, starting from the starting value. When the value of the control value reaches the ending value, execution jumps to the statement following Next. Program execution stops if there is no statement following Next.
Important! With some setup commands, the settings you configure remain in effect even after you finish running the program. Angle Unit Commands Deg, Rad, Gra Syntax Operation Function (COMP, CMPLX, SD, REG) .. : Deg : .. .. : Rad : .. .. : Gra : .. !,(SETUP)b(Deg) !,(SETUP)c(Rad) !,(SETUP)d(Gra) These commands specify the angle unit setting. Display Format Command Fix Syntax Operation Function (COMP, CMPLX, SD, REG) .. : Fix {n} : ..
A Clear Commands ClrMemory Syntax Operation Function (COMP, CMPLX, BASE) .. : ClrMemory : .. !j(CLR)b(Mem) This command clears all variables (A, B, C, D, X, Y, M) to zero. Note To clear a specific variable, use 0 → {variable}. ClrStat Syntax Operation Function (SD, REG) .. : ClrStat : .. !j(CLR)b(Stat) This command clears all statistical sample data currently in memory. A Independent Memory Commands M+, M– Syntax Operation Function (COMP, CMPLX, BASE) .. : {expression} M+ : .. / .. : {expression} M– : .
Important! To input a semicolon (;) in the above syntax, press !,(;). To input a comma (,), press ,. Operation Function l(Inputs DT.) Use this command to input one set of sample data. The DT command functions the same way as the l key (DT key) in the SD Mode and REG Mode. A Functions Not Supported in Programs The following functions are not supported inside of functions.
Sequence Operation Type 7 Description Multiplication, Division ×, ÷ Omitted Multiplication Sign Multiplication sign can be omitted immediately before π, e, variables, scientific constants (2π, 5A, πA, 3mp, 2i, etc.), and parenthetical functions (2'(3), Asin(30), etc.
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 five levels in the CMPLX Mode. k Calculation Ranges, Number of Digits, and Precision The following table shows the general calculation range (value input and output range), number of digits used for internal calculations, and calculation precision. Calculation Range ±1×10–99 to ±9.
Functions ex ' x x2 1/x 3 ' x x! Input Range –9.999999999×1099 < x < 230.2585092 0 < x < 1×10100 | x | < 1×10 50 | x | < 1×10 100 | x | < 1×10 100 ;xG0 0 < x < 69 (x is an integer) nPr 0 < n < 1×1010, 0 < r < n (n, r are integers) 1 < {n!/(n–r)!} < 1×10100 nCr 0 < n < 1×1010, 0 < r < n (n, r are integers) 1 < n!/r! < 1×10100 or 1 < n!/(n–r)! < 1×10100 Pol(x, y) Rec(r, θ ) °’ ” | x |, | y | < 9.999999999×1099 x2+y2 < 9.999999999×1099 0 < r < 9.
A Recovering from an Error Message You can recover from an error message by performing the key operations described below, regardless of the error type. • Press d or e to display the editing screen for the calculation expression you input immediately before the error occurred, with the cursor positioned at the location that caused the error. For more information, see “Finding the Location of an Error” on page 13.
Data Full Cause You are attempting to store sample data in the SD Mode or REG Mode when the allowable number of data samples are already stored in memory. Action Keep the number of data samples within the allowable limit. For more information, see “Maximum Number of Input Data Items” on page 38. Go ERROR Cause Action A program (that you created in the PRGM Mode) has a “Goto n” command without a corresponding “Lbl n” label.
1. Press !A(OFF) to turn off the calculator. To ensure that you do not accidentally turn on the calculator while replacing the battery, slide the hard case into the front of the calculator. 2. On the back of the calculator, remove the screw and the battery cover. 3. Remove the old battery. 4. After wiping a new battery with a dry cloth, load it into the battery compartment with its plus k side facing upwards (so you can see it). 5. Replace the battery cover and secure it in place with the screw. 6.
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