Casio fx-991W manual

E S F G I fx-100W fx-115W fx-570W fx-991W User’s Guide Guía del usuario Mode d’emploi Bedienungsanleitung Guida dell’utilizzatore[...]

Removing and Replacing the Calculator’ s Co ver • To Remove the co ver Gr asp the top of the co v er, and slide the unit out from the bottom. • To Replace the cover Gr asp the top of the co ver , and slide the unit in from the bottom. Alw a ys slide the unit into the co ver with the unit’ s display end first. Ne ver slide the ke yboard end [...]

E-1 Safety Precautions Be sure to read the following safety precautions before using this calculator . Keep this man ual handy f or later ref- erence. Caution This symbol is used to indicate information that can result in personal injury or material damage if ignored. Batteries • After remo ving the batteries from the calculator , put them in a s[...]

E-2 • The displays and illustrations (such as key markings) sho wn in this User’s Guide are f or illustrativ e pur- poses only , and ma y differ some what from the ac- tual items they represent. • The contents of this manual are subject to change without notice. • In no event shall CASIO Computer Co., Ltd. be li- able to anyone for special,[...]

E-3 • Av oid use and stora g e in areas subjected to tempera- ture extremes. Ve ry lo w temperatures can cause slow displa y response, total failure of the displa y , and shortening of batter y lif e . Also avoid leaving the calculator in direct sunlight, near a window, near a heater or anywhere else it might be- come exposed to very high tempera[...]

E-4 Contents Safety Precautions .......................................... 1 Handling Precautions ....................................... 2 Tw o-line Display ............................................... 5 Ke y Lay out ........................................................ 6 Before Starting Calculations... ....................... 8 k Modes ....[...]

E-5 Statistical Calculations .................................. 19 k Standard Deviation (SD Mode) ............................ 19 k Probability Distribution Calculations .. ................. 20 k Regression Calculations (REG Mode) ................. 21 Complex Number Calculations (CMPLX Mode) ............................................... 23 k Abso[...]

E-6 DT CL M- M AM µ G mk p f n Pol( Rec( nPr nCr BI N S ScI McI AB C sin -1 cos -1 tan -1 D XY EF DISTR Re < - > lm arg r Abs y y Rnd Ran# 10 e SHIFT ALPHA MODE OFF REPLA Y LOGIC DEC OCT HEX CONV BIN CONV Key Layout Page Page Page Page Page Page Page Page Page Page Page Page Page Page Page 12 9 25 25 15 16 25 30 27 16 16 15 12 16 29 29 15 29[...]

E-7 DT CL M- M AM µ G mk p f n Pol( Rec( nPr nCr BI N S ScI McI AB C sin -1 cos -1 tan -1 D XY EF DISTR Re < - > lm arg r Abs y y Rnd Ran# 10 e SHIFT ALPHA MODE ON REPLA Y LOGIC DEC OCT HEX CONV BIN CONV Key Layout Page Page Page Page Page Page Page Page Page Page Page Page Page Page Page 12 9 2 25 25 15 16 25 30 27 16 16 15 12 16 29 29 15 2[...]

E-8 Before Starting Calculations... k Modes Application Mode Mode Name Indicator Calculation Modes Normal calculations COMP – Complex number CMPLX CMPLX calculations Standard deviation SD SD calculations Regression calculations REG REG Base- n calculations BASE-N b (binary) o (octal) d (decimal) H (hexadecimal) Angle Unit Modes Degrees DEG R Radi[...]

E-9 •Y ou cannot set the angle unit or the displa y mode while the calculator is in the BASE-N mode. • The COMP , CMPLX, SD , and REG modes can be used in combination with the angle unit modes. •B e sure to check the current calculation mode (SD, REG, COMP , CMPLX) and angle unit mode (DEG, RAD , GRA) before beginning a calculation. k Input C[...]

E-10 k Error Locator •P ressing r or e after an error occurs displays the calculation with the cursor positioned at the location where the error occurred. k 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 select be[...]

E-11 47. 00 90. 00 –11. 00 32. 00 80. 00 Basic Calculations •U se the COMP mode for basic calculations. • Example 1 : 3  (5  10 –9 ) 3 - R 5 e D 9 T = • Example 2 : 5  (9  7) 5 - R 9 + 7 T = •Y ou can skip all T oper ations before = . Memory Calculations k Independent Memory •V alues can be input directly into memor y , ad[...]

E-12 8.4 00 6.9 00 4 5 2 3 2 7 15. 00 • Example: 193.2  23  8.4 193.2  28  6.9 193.2 j 1 23 = p 1 28 = Fraction Calculations k Fraction Calculations •U se the COMP mode for fraction calculations. •V alues are automatically displa y ed in decimal format whenever the total number of digits of a fractional value (integer  nume[...]

E-13 C C Percentage Calculations •U se the COMP mode for percentage calculations. • Example 1 : To calculate 12% of 1500 1500 - 12 A v • Example 2 : To calculate what percentage of 880 is 660 660 880 A v • Example 3 : To add 15% onto 2500 2500 - 15 A v + • Example 4 : To discount 3500 b y 25% 3500 - 25 A v , • Example 5: If 300 grams [...]

E-14 Scientific Function Calculations •U se the COMP mode for scientific function calculations. •  = 3.14159265359 k T rigonometric/In verse T rigonometric Functions • Example 1 : sin63 ° 52  41  q q q 1 → “ R ” S 63 I 52 I 41 I = • Example 2 : cos ( rad ) q q q 2 → “ T ” W R A x 3 T = • Example 3 : cos  1  r[...]

E-15 5.287196909 00 –1.290024053 00 k Angle Unit Conversion •P ress A v to display the following menu. •P ressing 1 , 2 , or 3 converts the displayed value to the corresponding angle unit. • Example : To convert 4.25 r adians to degrees 4.25 A v 2 ( R ) = 243.5070629 4 . 2 5 r k Common and Natural Logarithms/ Antilogarithms • Example 1 : [...]

E-16 1023. 00 1.988647795 00 12. 00 40320. 00 0.664 00 1728. 00 9.424777961 00 400. 00 28.571 00 400.000 00 28.571 00 28.571 00 1  1 3 4 1 (Specifies three decimal places.) (Calculation continues using 10 display digits) 1 7 • Example 3: 7 123 ( = 123 ) 7 A H 123 = • Example 4: 123  30 2 123 + 30 K = • Example 5: 12 3 12 N = • Example[...]

E-17 399.994 00 3.3 –01 56.088 0 03 81.25 –03 Sci - 14 = •P ress F F F F 3 1 to clear FIX specification. • Example 2: 1  3, displaying result with two significant digits (SCI 2) F F F F 2 2 1 3 = •P ress F F F F 3 1 to clear SCI specification. k ENG Calculations • Example 1: To convert 56,088 meters to kilometers 56088 = J • Exam[...]

E-18 2. 00 1. 00 1.732050808 00 T R *F or displayed values, the calculator selects the ENG sym- bol that makes the numeric part of the value fall within the range of 1 to 1000. * ENG symbols cannot be used when inputting fractions. * The ENG mode cannot be used in combination with the CMPLX, or BASE-N modes. •P erforming any of the key operations[...]

E-19 1.047197551 00 840. 210. θ 0 o • 0 n , 0 o swaps displayed value with value in memor y . k Permutation • Example: To deter mine how man y diff erent 4-digit val- ues can be produced using the numbers 1 through 7 •N umbers cannot be duplicated within the same 4-digit value (1234 is allo wed, but 1123 is not). 7 A m 4 = k Combination • [...]

E-20 • Example: To calculate σ n  1 , σ n , o , n , Σ x , and Σ x 2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52 Enter SD Mode F F 1 A m = (Memory Clear) 55 S 54 S 51 S 55 S 53 S S 54 S 52 S (Sample Standard Deviation σ n  1 ) A N = (Population Standard Deviation σ n ) A A = (Arithmetic Mean o ) A M = (Number of Data n ) 0 [...]

E-21 • Example : Using the x - data values input in the example on page 20, determine the normalized variate ( → t ) for x = 53 and normal probability distribution P( t ). 53 A D 4 ( → t ) = - 0.284747398 A D 1 ( P ( ) - 0.28 F = 0.38974 k Regression Calculations (REG Mode) •P ress F F 2 to enter the REG mode and then se- lect one of the fo[...]

E-22 • Example: Atmospher ic Pressure vs. T emperature Perform linear regression to de- termine the regression formula terms and correlation coefficient fo r the data nearby . Ne xt, use the regression formula to estimate at- mospheric pressure at 18 ° C and temperature at 1000 hPa. Enter REG Mode (Linear Regression) q q 2 1 A m = (Memory Clear)[...]

E-23 Enter REG mode (Quadratic regression) F F 2 r 3 A m = 29 P 1.6 S 50 P 23.5 S 74 P 38.0 S 103 P 46.4 S 118 P 48.0 S 118. REG (Reg ression Coefficient A) A q = - 35.59856934 (Reg ression Coefficient B) A w = 1.495939413 (Reg ression Coefficient C) A e = - 6.71629667 - 0 3 ( ˆ y when x i = 16) 16 A b - 13.38291067 ( ˆ x 1 when y i = 20) 20 A O [...]

E-24 • Example: (2 + 3 i ) + (4 + 5 i ) Enter CMPLX Mode F 2 R 4 + 5 i T = 6. Real number part A r 8. i Imaginary number part k Absolute V alue/Argument Calculation • The procedure described below can be used to deter- mine the absolute value (Abs) and argument (arg) for a complex number of the format Z = a + bi , which is pre- sumed to exist a[...]

E-25 •M emory can hold a single f or m ula, up to 79 steps long. This function can be used in the COMP or CMPLX mode only . •N o t e that the formula is actually stored in memory when you press the C ke y in the sequence belo w . • Example: To s a v e t he follo wing f or m ula, recall it, and then use it to calculate a result: Y = X 2 + 3X ?[...]

E-26 •C o n version P air T able Based on ISO Standard (1992) data and COD A T A Bulletin 63 (1986) data. Number Conversion Pair Number Conversion Pair 01 in → cm 21 oz → g 02 cm → in 22 g → oz 03 ft → m2 3 l b → kg 04 m → ft 24 kg → lb 05 yd → m2 5 a t m → Pa 06 m → yd 26 Pa → atm 07 mile → km 27 mmHg → Pa 08 km → m[...]

E-27 • Example: To deter mine how much total energy a per- son weighing 65kg has (E = mc 2 ) 65 L CONST 28 CONST28 28 is the “speed of light in v acuum” constant n umber. 0. 65 Co K 0. 65 Co 2 = 65 Co 2 5.841908662 18 •S cientific Constant T ab le Based on ISO Standard (1992) data and COD A T A Bulletin 63 (1986) data. Number Constant Name [...]

E-28 Number Constant Name Symbol 23 elementary charge e 24 Av ogadro constant NA 25 Boltzmann constant k 26 molar volume of ideal gas Vm 27 molar gas constant R 28 speed of light in vacuum C 0 29 first radiation constant C 1 30 second radiation constant C 2 31 Stefan-Boltzmann constant σ 32 permittivity of vacuum ε 0 33 permeability of vacuum µ [...]

E-29 • The following are the allowable ranges for each of the available number systems. Binary 1000000000  x  1111111111 0  x  0111111111 Octal 4000000000  x  7777777777 0  x  3777777777 Decimal –2147483648  x  2147483647 Hexadecimal 80000000  x  FFFFFFFF 0  x  7FFFFFFF • Example 1: To perf or m the f[...]

E-30 5 1 Integration Calculations • The following four inputs are required for integration cal- culations: 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 n ) fo r integr ation using Simpson’ s rule . d expression P a P b P n T[...]

E-31 Te c hnical Inf ormation k When you have a problem...... If calculation results are not what you expect or if an error occurs, perform the following steps. 1. F 1 (COMP mode) 2. F F F 1 (DEG mode) 3. F F F F 3 1 (NORM 1 mode) 4. Check the formula you are working with to confirm it is correct. 5. Enter the correct modes to perform the calculati[...]

E-32 •A ttempt to perform an illogical operation (division b y zero, etc.). •A c tion •C heck 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. Stk ERROR •C ause •C apacity of the numeric stack or operator stack is ex- ceeded. •A c tion •S impli[...]

E-33 4 a b / c 5 Abbreviated multiplication format in front of π , memory name, or variable name: 2 π , 5A, π A etc. 6 T ype B functions: With these functions, the function key is pressed and then the value is entered. , 3 , log, In, e x , 10 x , sin, cos, tan, sin  1 , cos  1 , tan  1 , sinh, cosh, tanh, sinh  1 , cosh  1 , tanh [...]

E-34 k Po wer Supply The type of battery you should use depends on the model num ber of y our calculator . < fx-991W/ fx-115W > The TW O WA Y PO WER system actually has two pow er supplies: a solar cell and a G13 T ype (LR44) b utton bat- ter y . Nor mally , calculators equipped with a solar cell alone can operate only when relatively bright [...]

E-35 < fx-570W > This calculator is powered b y single G13 T ype (LR44) b ut- ton batter y . •R eplacing the Battery Dim figures on the display of the calculator indicate that batter y 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[...]

E-36 < fx-100W > This calculator is powered b y single AA-size batter y . •R eplacing the Battery Dim figures on the display of the calculator indicate that batter y 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-37 k Input Ranges Internal digits: 12 Accuracy: As a rule, accur acy is ± 1 at the 10th digit. Functions Input Range sin x DEG 0   x   4.499999999  10 10 RAD 0   x   785398163.3 GRA 0   x   4.499999999  10 10 cos x DEG 0   x   4.500000008  10 10 RAD 0   x   785398164.9 GRA 0 ?[...]

E-38 1 2 n +1 Functions Input Range n P r 0  n  99, r  n ( n , r is an integer) 1  { n !/( n – r )!}  9.999999999  10 99 n C r 0  n  99, r  n ( n , r is an integer) Pol( x , y )  x  ,  y   9.999999999  10 49 ( x 2 + y 2 )  9.999999999  10 99 Rec( r ,  ) 0  r  9.999999999  10 99 θ : S[...]

E-39 Specifications Power Supply: fx-100W: Single AA-siz e batter y (R6P (SUM-3)) fx-570W: Single G13 T ype button battery (LR44) fx-115W/ fx-991W : Solar cell and a single G13 T ype button bat- tery (LR44) Battery Life: fx-100W: Approximately 17,000 hours continuous dis- play of flashing cursor . Approximately 2 years when left with power tur ned [...]

CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.[...]

SA9810-C Printed in China Imprimé en Chine HA310540-1 U.S. Pat. 4,410.956 CASIO COMPUTER CO. , L TD . 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan[...]