fx-100W fx-115W fx-570W fx-991W User’s Guide Guía del usuario Mode d’emploi Bedienungsanleitung Guida dell’utilizzatore ESFGI
ENGLISH Removing and Replacing the Calculator’s Cover • To Remove the cover Grasp the top of the cover, and slide the unit out from the bottom. • To Replace the cover Grasp the top of the cover, and slide the unit in from the bottom. Always slide the unit into the cover with the unit’s display end first. Never slide the keyboard 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 reference. Caution This symbol is used to indicate information that can result in personal injury or material damage if ignored. Batteries • After removing the batteries from the calculator, put them in a safe place where there is no danger of them getting into the hands of small children and accidently swallowed. • Keep batteries out of the reach of small children.
• 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. • 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 these materials. Moreover, CASIO Computer Co., Ltd.
• Avoid use and storage in areas subjected to tempera- • • • • • • ture 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 become exposed to very high temperatures. Heat can cause discoloration or deformation of the calculator’s case, and damage to internal circuitry.
Contents Safety Precautions .......................................... 1 Handling Precautions ....................................... 2 Two-line Display ............................................... 5 Key Layout ........................................................ 6 Before Starting Calculations... ....................... 8 kModes .................................................................... 8 kInput Capacity ........................................................
Statistical Calculations .................................. 19 kStandard Deviation (SD Mode) ............................ 19 kProbability Distribution Calculations ................... 20 kRegression Calculations (REG Mode) ................. 21 Complex Number Calculations (CMPLX Mode) ............................................... 23 kAbsolute Value/Argument Calculation .................. 24 Formula Memory ............................................ 24 Metric Conversions (fx-570W/ fx-991W ) .......
Key Key Layout Layout < fx-570W > Page Page 25 Page Page 17 11 Page Page 11 20 11 21 17 M 21 17 15 16 15 15 29 27 29 16 15 29 HEX 10 BIN 16 11 14 21 24 r arg e OCT 15 14 11 15 14 11 sin-1 D cos-1 E tan-1 F 14 24 11 14 20 11 11 11 Abs 11 11 11 21 17 21 17 X M- Y 20 M DT CL 9 11 11 19 T INS McI ScI 21 17 21 17 9 19 19 m k nPr nCr 19 17 19 17 21 18 21 18 n Pol( B G µ 19 17 OFF DEC C 30 24 MODE 16 15 11 Re<->lm f Page CONV B y Page 25 x!
Key Layout < fx-991W > Page Page 25 Page Page Page Page 11 20 11 21 17 M 21 17 16 15 15 29 16 15 29 HEX 10 BIN 16 11 14 21 24 r arg e OCT 15 14 11 15 14 11 sin-1 D cos-1 E tan-1 F 14 24 11 14 20 11 11 11 Abs X M- Y 20 M DT CL 9 11 11 19 T INS McI ScI 21 17 21 17 9 19 19 m k nPr nCr 19 17 19 17 21 18 21 18 n Pol( B G f Page 15 27 29 11 11 11 21 17 21 17 µ 19 17 ON DEC C 30 24 MODE 16 15 11 Re<->lm y Page CONV B DISTR A 25 x! LOGIC 12
Before Starting Calculations...
• You cannot set the angle unit or the display 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. • Be sure to check the current calculation mode (SD, REG, COMP, CMPLX) and angle unit mode (DEG, RAD, GRA) before beginning a calculation. k Input Capacity • The memory area used for calculation input can hold 79 “steps.
k Error Locator • Pressing 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 between two formats that determine at what point exponential notation is used. Press F F F F 3 1 (or 2) to select NORM 1 or NORM 2.
Basic Calculations • Use the COMP mode for basic calculations. • Example 1 : 3 (5 10–9) 3-R5eD9T= 1.5-08 • Example 2 : 5 (9 7) 5-R9+7T= 80.00 • You can skip all T operations before = . Memory Calculations k Independent Memory • Values can be input directly into memory, added to memor y, or subtracted from memory. Independent memory is convenient for calculating cumulative totals. • Independent memory uses the same memory area as variable M. • To clear independent memory (M), input 0 j 3.
• Example: 193.2 23 8.4 193.2 28 6.9 193.2 j 1 \ 23 = 8.400 p 1 \ 28 = 6.900 Fraction Calculations k Fraction Calculations • Use the COMP mode for fraction calculations. • Values are automatically displayed in decimal format whenever the total number of digits of a fractional value (integer numerator denominator separator marks) exceeds 10. • Example 1 : 2 4 1 3 5 2C3 +1C 4C 5= 2 7 15.00 1 1.6 2 1 C 2 + 1.6 = 2.
C 0.500 C 1 2. 00 Percentage Calculations • Use the COMP mode for percentage calculations. • Example 1 : To calculate 12% of 1500 1500 - 12 A v 180.00 • Example 2 : To calculate what percentage of 880 is 660 660 \ 880 A v 75.00 • Example 3 : To add 15% onto 2500 2500 - 15 A v + 2875.00 • Example 4 : To discount 3500 by 25% 3500 - 25 A v , 2625.
Scientific Function Calculations • Use the COMP mode for scientific function calculations. • = 3.14159265359 k Trigonometric/Inverse Trigonometric Functions • Example 1 : sin63°52 41 q q q 1 →“ R ” 00 S 63 I 52 I 41 I = 0.897859012 R π rad 3 q q q 2 →“ T ” • Example 2 : cos ( ) 0.500 WRAx\3T= T 2 π rad 2 4 q q q 2 →“ T ” • Example 3 : cos 1 WAVRL2\2T= 0.78539816300 g\Ax= 0.2500 T • Example 4 : tan 1 0.741 q q q 1 →“ R ” A g 0.741 = 36.
k Angle Unit Conversion • Press A v to display the following menu. R G 1 2 D 3 • Pressing 1 , 2, or 3 converts the displayed value to the corresponding angle unit. • Example : To convert 4.25 radians to degrees FFF1 →“ R ” 4 . 25 r 4.25 A v 2 (R ) = 243.5070629 k Common and Natural Logarithms/ Antilogarithms • Example 1 : log 1.23 R 1.23 = 0.08990511100 • Example 2 : In 90 ( loge 90) T 90 = 4.4998096700 • Example 3 : e10 A U 10 = 22026.4657900 • Example 4 : 101.5 A Q 1.5 = 31.
1 • Example 3: 7 123 ( = 123 7 ) 7 A H 123 = 1.98864779500 • Example 4: 123 30 2 123 + 30 K = 1023.00 12 N = 1728.00 R3a,4aTa= 12.00 8Af= 40320.00 • Example 5: 12 3 • Example 6: 1 1 1 3 4 • Example 7: 8! • Example 8: To generate a random number between 0.000 and 0.999 AM= 0.66400 Example (results differ each time) 3Ax= • Example 9: 3π 9.42477796100 k FIX, SCI, RND • Example 1: 200 7 14 400 (Specifies three decimal places.) 200 \ 7 - 14 = 400.00 FFFF13 400.
- 14 = 399.99400 • Press F F F F 3 1 to clear FIX specification. • Example 2: 1 3, displaying result with two significant digits (SCI 2) FFFF2 21 \3 = 3.3–01 Sci • Press F F F F 3 1 to clear SCI specification. k ENG Calculations • Example 1: To convert 56,088 meters to kilometers 56088 = J 56.088003 • Example 2: To convert 0.08125 grams to milligrams 0.08125 = J 81.25–03 k Inputting ENG Calculation Symbols • F F F F F 1 enters the ENG mode in which ENG symbols can be used in calculations.
* For displayed values, the calculator selects the ENG symbol 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. • Performing any of the key operations in the above table while you are not in the ENG mode inputs the exponential value in the “Unit” column (without inputting the ENG symbol). • Example: 9 10 = 0.9 m (milli) 0.
0 o 1.04719755100 θ • 0 n, 0 o swaps displayed value with value in memory. k Permutation • Example: To determine how many different 4-digit values can be produced using the numbers 1 through 7 • Numbers cannot be duplicated within the same 4-digit value (1234 is allowed, but 1123 is not). 7Am 4= 840. k Combination • Example: To determine how many different 4-member groups can be organized in a group of 10 individuals 10 A n 4 = 210.
• Example: To calculate σn 1, σn, o, n, Σx, and Σx 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 SD 52.00 (Sample Standard Deviation σ n 1 ) A N = 1.40788595300 (Population Standard Deviation σn) A A = 1.31695671900 (Arithmetic Mean o) AM = 53.37500 (Number of Data n) 0k 8.00 Σx) 0H 427.00 0G 22805.
• 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) • Press F F 2 to enter the REG mode and then select one of the following regression types.
• Example: Atmospheric Pressure vs. Temperature Temperature Atmospheric Pressure 10°C 15°C 20°C 25°C 30°C 1003 hPa 1005 hPa 1010 hPa 1011 hPa 1014 hPa Perform linear regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate atmospheric pressure at 18°C and temperature at 1000 hPa. Enter REG Mode (Linear Regression) qq21 A m = (Memory Clear) 10 P 1003 S 15 P 1005 S 20 P 1010 S 25 P 1011 S 30 P 1014 S 30.
Enter REG mode (Quadratic regression) FF2r3 Am= 29 P 1.6 S 50 P 23.5 S 74 P 38.0 S103 P 46.4 S 118 P 48.0 S 118. REG (Regression Coefficient A) A q = -35.59856934 (Regression Coefficient B) Aw= (Regression Coefficient C) A e = -6.71629667-03 1.495939413 (ŷ when x i = 16) 16 A b -13.38291067 (x̂ 1 when yi = 20) 20 A O 47.14556728 (x̂ 2 when yi = 20) AO 175.5872105 Data Input Precautions • S S inputs the same data twice. • You can also input multiple entries of the same data using A G.
• Example: (2 + 3i) + (4 + 5i ) Enter CMPLX Mode F 2 R2+3iT+ R4+5iT= 6. Real number part Ar 8. i Imaginary number part k Absolute Value/Argument Calculation • The procedure described below can be used to determine the absolute value (Abs) and argument (arg) for a complex number of the format Z = a + bi , which is presumed to exist as coordinates on a Gaussian plane.
• Memory can hold a single formula, up to 79 steps long. This function can be used in the COMP or CMPLX mode only. • Note that the formula is actually stored in memory when you press the C key in the sequence below. • Example: To save the following formula, recall it, and then use it to calculate a result: Y = X2 + 3X – 12 Input the formula. pypupxK+ 3 p x , 12 C Store it in memory. Input a value for its variable. Y= X 2 +3 X-12 0. X? 0. 7= = 58. X? 7. 8= 76.
• Conversion Pair Table Based on ISO Standard (1992) data and CODATA Bulletin 63 (1986) data.
• Example: To determine how much total energy a person weighing 65kg has (E = mc 2) 65 L 28 CONST CONST28 28 is the “speed of light in vacuum” constant number. 65 Co 0. K 65 Co 2 0. 65 Co 2 = 5.841908662 18 • Scientific Constant Table Based on ISO Standard (1992) data and CODATA Bulletin 63 (1986) data.
Number 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Constant Name elementary charge Avogadro constant Boltzmann constant molar volume of ideal gas molar gas constant speed of light in vacuum first radiation constant second radiation constant Stefan-Boltzmann constant permittivity of vacuum permeability of vacuum magnetic flux quantum standard acceleration of gravity astronomical unit parsec Celsius temperature Newtonian constant of gravitation standard atmosphere Symbol e NA k Vm R C0 C1 C2 σ ε0
• The following are the allowable ranges for each of the available number systems. 1000000000 0 Octal 4000000000 0 Decimal –2147483648 Hexadecimal 80000000 0 Binary x x x x x x x 1111111111 0111111111 7777777777 3777777777 2147483647 FFFFFFFF 7FFFFFFF • Example 1: To perform the following calculation and produce a binary result: 101112 + 110102 Binary mode FF3b 0. b 101112 + 110102 0. b = 110001.
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 = 2n) for integration using Simpson’s rule. d expression P a P b P n T • Use the COMP mode for integration calculations. • Example: To calculate: 5 ∫1 (2 x2 + 3x + 8) dx d 2p xK+3 px+ 8P 1P5 P6 T 0. = 150.
Technical Information 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 calculation and try again. < fx-570W/ fx-100W > If the above steps do not correct your problem, press the P button (see page 35 or 36) on the back of the calculator to reset it.
• Attempt to perform an illogical operation (division by zero, etc.). • Action • 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. Stk ERROR • Cause • Capacity of the numeric stack or operator stack is exceeded. • Action • Simplify the calculation. The numeric stack has 10 levels and the operator stack has 24 levels. • Divide your calculation into two or more separate parts.
4 a b/c 5 Abbreviated multiplication format in front of π, memory name, or variable name: 2π, 5A, πA etc. 6 Type B functions: With these functions, the function key is pressed and then the value is entered. 3 , , log, In, ex, 10x, sin, cos, tan, sin 1 , cos 1, tan 1, sinh, cosh, tanh, sinh 1, cosh 1, tanh 1, ( ) 7 Abbreviated multiplication format in front of Type B functions: 2 3, Alog2 etc.
k Power Supply The type of battery you should use depends on the model number of your calculator. < fx-991W/ fx-115W > 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.
< fx-570W > This calculator is powered by single G13 Type (LR44) button 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 1 Press i to turn power off. 2 Remove the two screws that hold the battery cover in place and then remove the battery cover.
< fx-100W > This calculator is powered by 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 1 Press i to turn power off. 2 Remove the six screws that hold the back cover in place and then remove the back cover. 3 Remove the old battery.
k Input Ranges Internal digits: 12 Accuracy: As a rule, accuracy is ±1 at the 10th digit. Functions sinx Input Range DEG 0 x 4.499999999 1010 RAD 0 x 785398163.3 GRA 0 x 4.499999999 1010 cosx DEG 0 x 4.500000008 1010 RAD 0 x 785398164.9 GRA 0 x 5.000000009 1010 tan x DEG Same as sinx, except when x = (2n-1) 90. RAD Same as sinx, except when x = (2n-1) π/2. GRA Same as sinx, except when x = (2n-1) 100. sin–1x cos–1x 0 x 1 tan–1x 0 x 9.
Functions Input Range nP r 0 n 99, r n (n, r is an integer)99 1 {n!/( n–r)!} 9.999999999 10 nCr 0 n 99, r n (n, r is an integer) 49 Pol(x, y) x , y 9.999999999 10 (x2 +y2 ) 9.999999999 10 99 99 Rec(r, ) 0 r 9.
Specifications Power Supply: fx-100W: Single AA-size battery (R6P (SUM-3)) fx-570W: Single G13 Type button battery (LR44) fx-115W/ fx-991W: Solar cell and a single G13 Type button battery (LR44) Battery Life: fx-100W: Approximately 17,000 hours continuous display of flashing cursor. Approximately 2 years when left with power turned off. fx-570W: Approximately 12,000 hours continuous display of flashing cursor. Approximately 3 years when left with power turned off.
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CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan U.S. Pat. 4,410.