Casio FX-83ES
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Casio FX-83ES
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Basic features of a Casio fx 83ES or fx 83GT PLUS
User reviews and opinions
| Bennytravelshort |
1:05am on Thursday, August 19th, 2010 ![]() |
| I bought this calculator a fair while ago now- it must be about three years as I bought it for the start of my GCSEs as it was recommended as a good c... | |
| SZ |
1:20am on Sunday, May 23rd, 2010 ![]() |
| Great little calculator especially for university students I bought this calculator during my studies. | |
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Documents

fx-82ES fx-83ES fx-85ES fx-300ES fx-350ES
User's Guide
http://world.casio.com/edu/
RCA502136-001V01 A
CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany
About this Manual
The MATH mark indicates an example that uses Math format, while the LINE mark indicates Linear format. For details about input/output formats, see Specifying the Input/Output Format. Keycap markings indicate what a key inputs or what function it performs. Example: 1, 2, +, -, !, A, etc. Pressing the 1 or S key followed by a second key performs the alternate function of the second key. The alternate function is indicated by the text printed above the key.
Alternate function
Keycap function
The following shows what the different colors of the alternate function key text mean. If key marking text is this color: Yellow Red It means this: Press 1 and then the key to access the applicable function. Press S and then the key to input the applicable variable, constant, or symbol.
The following shows an example of how an alternate function operation is represented in this Users Guide. Example: 1s(sin1)1= Indicates the function that is accessed by the key operation (1s) before it. Note that this is not part of the actual key operation you perform. The following shows an example of how a key operation to select an on-screen menu item is represented in this Users Guide. Example: 1(Setup) Indicates the menu item that is selected by the number key operation (1) before it. Note that this is not part of the actual key operation you perform.
The cursor key is marked with four arrows, indicating direction, as shown in the illustration nearby. In this Users Guide, cursor key operation is indicated as f, c, d, and e.
REPLAY
The displays and illustrations (such as key markings) shown in this Users Guide and the separate Appendix 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 this product and items that come with it. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever by any other party arising out of the use of this product and the items that come with it.
k Using the Separate Appendix
Whenever you see the symbol Appendix in this manual, it means you should refer to the separate Appendix. Example numbers (like <#021>) in this Users Guide refer to the corresponding example number in the Appendix. Specify the angle unit in accordance with the marks in the Appendix: Deg : Specify Degree for the angle unit. Rad : Specify Radian for the angle unit.
Initializing the Calculator
Perform the following procedure when you want to initialize the calculator and return the calculation mode and setup to their initial default settings. Note that this operation also clears all data currently in calculator memory. 19(CLR)3(All)=(Yes) For information about calculation modes and setup settings, see Calculation Modes and Calculator Setup. For information about memory, see Using Calculator Memory.
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.
Battery
After removing the battery from the calculator, put it in a safe place where it will not get into the hands of small children and accidentally swallowed. Keep batteries out of the reach of small children. If accidentally swallowed, consult with a physician immediately. Never charge the battery, try to take the battery apart, or allow the battery to become shorted. Never expose the battery to direct heat or dispose of it by incineration. Improperly using a battery can cause it to leak and damage nearby items, and can create the risk of fire and personal injury. Always make sure that the batterys positive k and negative l ends are facing correctly when you load it into the calculator. Remove the battery if you do not plan to use the calculator for a long time (fx-82ES/fx-83ES/fx-350ES). Use only the type of battery specified for this calculator in this manual.
Disposing of the Calculator
Never dispose of the calculator by burning it. Doing so can cause certain components to suddenly burst, creating the risk of fire and personal injury.
Handling 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 (LR44 (GPA76)), two years (R03 (UM-4)), or one year (LR03 (AM4)). 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. Low battery power can cause memory contents to become corrupted or lost completely. Always keep written records of all important data. Avoid use and storage of the calculator in areas subjected to temperature 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 be exposed to very high temperatures. Heat can cause discoloration or deformation of the calculators case, and damage to internal circuitry. 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. Never drop the calculator or otherwise subject it to strong impact. Never twist or bend the calculator. Avoid carrying the calculator in the pocket of your trousers or other tight-fitting clothing where it might be subjected to twisting or bending. Never try to take the calculator apart. Never press the keys of the calculator with a ballpoint pen or other pointed object. Use a soft, dry cloth to clean the exterior of the calculator. If the calculator becomes very dirty, wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent. Wring out all excess liquid before wiping the calculator. Never use thinner, benzene or other volatile agents to clean the calculator. Doing so can remove printed markings and can damage the case.
Before Using the Calculator
k Removing the Hard Case
Before using the calculator, slide its hard case downwards to remove it, and then affix the hard case to the back of the calculator as shown in the illustration below.
k Turning Power On and Off
Press O to turn on the calculator. Press 1A(OFF) to turn off the calculator.
k Adjusting Display Contrast
1N(SETUP)c5(]CONT') This displays the contrast adjustment screen. Use d and e to adjust display contrast. After the setting is the way you want, press A.
You can also adjust contrast using d and e while the mode menu (which appears when you press N) is on the display.
Important!
If adjusting display contrast does not improve display readability, it probably means that battery power is low. Replace the battery.
k About the Display
Your calculator has a 31-dot 96-dot LCD screen. Example:
Input expression Calculation result
k Display Indicators
Sample Display: This indicator:
S STAT
Means this: The keypad has been shifted by pressing the 1 key. The keypad will unshift and this indicator will disappear when you press a key. The alpha input mode has been entered by pressing the S key. The alpha input mode will be exited and this indicator will disappear when you press a key. There is a value stored in independent memory. The calculator is standing by for input of a variable name to assign a value to the variable. This indicator appears after you press 1t(STO). The calculator is standing by for input of a variable name to recall the variables value. This indicator appears after you press t. The calculator is in the STAT Mode. The default angle unit is degrees. The default angle unit is radians. The default angle unit is grads. A fixed number of decimal places is in effect. A fixed number of significant digits is in effect. Math style is selected as the input/output format. Calculation history memory data is available and can be replayed, or there is more data above/below the current screen. The display currently shows an intermediate result of a multi-statement calculation.
RCL STAT 9 FIX SCI Math $`
For a very complex calculation or some other type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) while it performs the calculation internally.
Specifying the Fraction Display Format
To specify this fraction display format: Mixed Improper Perform this key operation: 1Nc1(ab/c) 1Nc2(d/c)
Specifying the Statistical Display Format
Use the following procedure to turn display of the frequency (FREQ) column of the STAT Mode STAT editor screen on or off. To specify this: Show FREQ Column Hide FREQ Column Perform this key operation: 1Nc3(STAT)1(ON) 1Nc3(STAT)2(OFF)
Specifying the Decimal Point Display Format
To specify this decimal point display format: Dot ( ) Comma ( ) Perform this key operation: 1Nc4(Disp)1(Dot)
1Nc4(Disp)2(Comma)
The setting you configure here is applied for calculation results only. The decimal point for input values is always a dot ( ).
k Initializing the Calculation Mode and Other Settings
Performing the following procedure initializes the calculation mode and other setup settings as shown below. 19(CLR)1(Setup)=(Yes) This setting: Calculation Mode Input/Output Format Angle Unit Display Digits Fraction Display Format Statistical Display Decimal Point Is initialized to this: COMP MthIO Deg Norm1 d/c OFF Dot
To cancel initialization without doing anything, press A(Cancel) instead of =.
Inputting Expressions and Values
k Inputting a Calculation Expression Using Standard Format
Your calculator lets you input calculation expressions just as they are written. Then simply press the = key to execute it. The calculator automatically judges the calculation priority sequence for addition, subtraction, multiplication, and division, functions, and parentheses. Example: 2 (5 + 4) 2 (3) = LINE 2(5+4)2*y3=
Inputting a Function with Parenthesis
When you input any of the functions shown below, it is automatically input with the open parenthesis ( ( ) character. Next, you need to input the argument and the closing parenthesis ( ) ). sin(, cos(, tan(, sin1(, cos1(, tan1(, sinh(, cosh(, tanh(, sinh1(, cosh1(, tanh1(, log(, ln(, e^(, 10^(, '(, 3'(, Abs(, Pol(, Rec(, Rnd( Example: sin 30 = LINE s30)=
Pressing s inputs sin(.
Note that the input procedure is different if you want to use Math format. For more information, see Inputting with Math Format.
Omitting the Multiplication Sign
You can omit the multiplication sign () in any of the following cases. Before an open parentheses ( ( ): 2 (5 + 4), etc. Before a function with parenthesis: 2 sin(30), 2 '(3), etc. Before a variable name, constant, or random number: 20 A, 2 , etc.
Final Closed Parenthesis
You can omit one or more closed parentheses that come at the end of a calculation, immediately before the = key is pressed. For details, see Omitting a Final Closed Parenthesis.
Displaying a Long Expression
The display can show up to 14 characters at a time. Inputting the 15th character causes the expression to shift to the left. At this time, the ] indicator appears to the left of the expression, indicating that it runs off the left side of the screen. Input expression: 1111 + 2222 + 3333 + 444
Displayed portion:
Cursor
When the ] indicator is displayed, you can scroll left and view the hidden part by pressing the d key. This will cause the ' indicator to appear to the right of the expression. At this time, you can use the e key to scroll back.
Number of Input Characters (Bytes)
You can input up to 99 bytes of data for a single expression. Basically, each key operation uses up one byte. A function that requires two key operations to input (like 1s(sin1)) also uses only one byte. Note, however, that when you are inputting functions with Math format, each item you input uses up more than one byte. For more information, see Inputting with Math Format. Normally the input cursor appears as a straight vertical (I) or horizontal ( ) flashing line on the display screen. When there are 10 or fewer bytes of input remaining in the current expression, the cursor changes shape to I to let you know. If the I cursor appears, terminate the expression at a convenient point and calculate the result.
k Correcting an Expression
This section explains how to correct an expression as you are inputting it. The procedure you should use depends on whether you have insert or overwrite selected as the input mode.
About the Insert and Overwrite Input Modes
With the insert mode, the displayed characters shift to the left to make room when you input a new character. With the overwrite mode, any new character you input replaces the character at the current cursor position. The initial default input mode is insert. You can change to the overwrite mode when you need it. The cursor is a vertical flashing line (I) when the insert mode is selected. The cursor is a horizontal flashing line ( ) when the overwrite mode is selected. The initial default for Linear format input is the insert mode. You can switch to the overwrite mode by pressing 1Y(INS).
With Math format, you can only use the insert mode. Pressing 1Y(INS) when the Math format is selected does not switch to the overwrite mode. See Incorporating a Value into a Function for more information. The calculator automatically changes to the insert mode whenever you change the input/output format from Linear to Math.
Memory Name Description Calculation results can be added to or subtracted from independent memory. The M display indicator indicates data in independent memory. Six variables named A, B, C, D, X, and Y can be used for storage of individual values. Answer Memory Stores the last calculation result obtained. Independent Memory Variables
This section uses the COMP Mode (N1) to demonstrate how you can use memory.
k Answer Memory (Ans)
Answer Memory Overview
Answer Memory contents are updated whenever you execute a calculation using any one of the following keys: =, 1=, m, 1m(M), t,1t(STO). Answer Memory can hold up to 15 digits. Answer Memory contents are not change if an error occurs during the current calculation. Answer Memory contents are maintained even if you press the A key, change the calculation mode, or turn off the calculator.
Using Answer Memory to Perform a Series of Calculations
Example: To divide the result of by 30 LINE 3*4=
(Continuing)/30=
Pressing / automatically inputs Ans command.
With the above procedure, you need to perform the second calculation immediately after the first one. If you need to recall Answer Memory contents after pressing A, press the G key.
Inputting Answer Memory Contents into an Expression
Example: To perform the calculations shown below: 123 + 456 = 579 = 210 LINE 123+456=
789-G=
k Independent Memory (M)
You can add calculation results to or subtract results from independent memory. The M appears on the display when independent memory contains a value.
Independent Memory Overview
The following is a summary of the different operations you can perform using independent memory. To do this: Add the displayed value or result of the expression to independent memory Subtract the displayed value or result of the expression from independent memory Recall current independent memory contents Perform this key operation: m
1m(M) tm(M)
You can also insert the M variable into a calculation, which tells the calculator to use the current independent memory contents at that location. The following is the key operation for inserting the M variable. Sm(M) The M indicator appears in the upper left of the display when there is any value other than zero stored in independent memory. Independent memory contents are maintained even if you press the A key, change the calculation mode, or turn off the calculator.
Pressing the w key displays a menu of functions. Press the number key that corresponds to the function you want to input. Appendix <#017> sinh 1 = 1.175201194, cosh= 0
k Converting an Input Value to the Calculators Default Angle Unit
After inputting a value, press 1G(DRG') to display the angle unit specification menu shown below. Press the number key that corresponds to the angle unit of the input value. The calculator will automatically convert it to the calculators default angle unit.
Example: To convert the following values to degrees: radians = 90, 50 grads = The following procedure assumes that the calculators default angle unit is degrees. LINE (15()/2) 1G(DRG')2(r)=
501G(DRG') 3(g)=
Appendix <#018> cos ( radians) = 1, cos (100 grads) = 0 <#019> cos1 (1) = 180 cos1 (1) =
k Exponential Functions and Logarithmic Functions
For the logarithmic function log(, you can specify base m using the syntax log (m, n). If you input only a single value, a base of 10 is used for the calculation. ln( is a natural logarithm function with base e. You can also use the & key when inputting an expression with the form of logmn while using Math format. For details, see Appendix <#020>. Note that you must input the base (base m) when using the & key for input. Appendix <#021> to <#023> *1 A base of 10 (common logarithm) is used if no base is specified.
k Power Functions and Power Root Functions
X2, X3, X1, X^, '(, 3'(, ^'( ' Appendix <#024> to <#028>
k Rectangular-Polar Coordinate Conversion
Rectangular Coordinates (Rec)
Polar Coordinates (Pol)
Coordinate conversion can be performed in the COMP and STAT calculation modes. Converting to Polar Coordinates (Pol) Pol(X, Y) X: Specifies the rectangular coordinate X value Y: Specifies the rectangular coordinate Y value Calculation result is displayed in the range of 180 < < 180. Calculation result is displayed using the calculators default angle unit. Calculation result r is assigned to variable X, while is assigned to Y. Converting to Rectangular Coordinates (Rec) Rec(r,) r : Specifies r value of polar coordinate : Specifies value of polar coordinate Input value is treated as an angle value, in accordance with the calculators default angle unit setting. Calculation result x is assigned to variable X, while y is assigned to Y. If you perform coordinate conversion inside of an expression instead of a stand-alone operation, the calculation is performed using only the first value (either the r-value or the X-value) produced by the conversion. Example: Pol (' ' + 5 = 2 + 5 = 7 2, 2) Appendix <#029> to <#030>
k Other Functions
This section explains how to use the functions shown below. !, Abs(, Ran#, nPr, nCr, Rnd(
Factorial (!)
This function obtains the factorials of a value that is zero or a positive integer. Appendix <#031> (5 + 3)! = 40320
Absolute Value Calculation (Abs)
When you are performing a real number calculation, this function simply obtains the absolute value. Appendix <#032> Abs (2 7) = 5
Random Number (Ran#)
This function generates a 3-digit pseudo random number that is less than 1. Appendix <#033> Generate three 3-digit random numbers. The random 3 digit decimal values are converted to 3-digit integer values by multiplying by 1000. Note that the values shown here are examples only. Values actually generated by your calculator will be different.
Permutation (nPr) and Combination (nCr)
These functions make it possible to perform permutation and combination calculations. n and r must be integers in the range of 0 < r < n < 1 1010. Appendix <#034> How many four-person permutations and combinations are possible for a group of 10 people?
Rounding Function (Rnd)
This function rounds the value or the result of the expression in the functions argument to the number of significant digits specified by the number of display digits setting. Display Digits Setting: Norm1 or Norm2 The mantissa is rounded to 10 digits.
Display Digits Setting: Fix or Sci The value is rounded to the specified number of digits. Example: 14 = 400 LINE 200/7*14=
(Specifies three decimal places.) 1N6(Fix)3
(Calculation is performed internally using 15 digits.)
200/7=
The following performs the same calculation with rounding.
(Round the value to the specified number of digits.)
10(Rnd)=
(Check rounded result.)
Transforming Displayed Values
You can use the procedures in this section to transform a displayed value to engineering notation, or to transform between standard form and decimal form.
k Using Engineering Notation
A simple key operation transforms a displayed value to engineering notation. Appendix <#035> Transform the value 1,234 to engineering notation, shifting the decimal point to the right. <#036> Transform the value 123 to engineering notation, shifting the decimal point to the left.
k Using S-D Transformation
You can use S-D transformation to transform a value between its decimal (D) form and its standard (S) form (fraction, ).
Formats Supported for S-D Transformation
S-D transformation can be used to transform a displayed decimal calculation result to one of the forms described below. Performing S-D transformation again converts back to the original decimal value.
When you transform from decimal form to standard form, the calculator automatically decides the standard form to use. You cannot specify the standard form. Fraction: The current fraction display format setting determines whether the result is an improper fraction or mixed fraction. : The following are the forms that are supported. This is true only in the case of Math format. n (n is an integer.) d a b (depending on fraction display format c or c setting) Transformation to a fractional form is limited to inverse trigonometric function results and values that are normally expressed in radians. After obtaining a calculation result in ' form, you can convert it to decimal form by pressing the f key. When the original calculation result is in decimal form, it cannot be converted to ' form.
Examples of S-D Transformation
Note that S-D transformation can take some time to perform. Example: Fraction Decimal MATH '5c6= Each press of the f key toggles between the two forms. f f Appendix <#037> Fraction Decimal <#038> ' Decimal
Statistical Calculation
(STAT)
All calculations in this section are performed in the STAT Mode (N2).
Selecting a Statistical Calculation Type
In the STAT Mode, display the statistical calculation type selection screen.
k Statistical Calculation Types
Key Menu Item 1-VAR A+BX _+CX2 In X Statistical Calculation Single-variable Linear regression Quadratic regression Logarithmic regression
AB^X AX^B 1/X
e exponential regression ab exponential regression
Power regression Inverse regression
k Inputting Sample Data
Displaying the STAT Editor Screen
The STAT editor screen appears after you enter the STAT Mode from another mode. Use the STAT menu to select a statistical calculation type. To display the STAT editor screen from another STAT Mode screen, press 11(STAT)2(Data).
STAT Editor Screen
There are two STAT editor screen formats, depending on the type of statistical calculation you selected.
STAT STAT
Single-variable Statistics
Paired-variable Statistics
The first line of the STAT editor screen shows the value for the first sample or the values for their first pair of samples.
FREQ (Frequency) Column
If you turn on the Statistical Display item on the calculators setup screen, a column labeled FREQ will also be included on the STAT editor screen. You can use the FREQ column to specify the frequency (the number of times the same sample appears in the group of data) of each sample value.
Rules for Inputting Sample Data on the STAT Editor Screen
Data you input is inserted into the cell where the cursor is located. Use the cursor keys to move the cursor between cells.
k Using the STAT Menu
While the STAT editor screen or STAT calculation screen is on the display, press 11(STAT) to display the STAT menu. The content to the STAT menu depends on whether the currently selected statistical operation type uses a single variable or paired variables.
STAT Menu Items
Common Items Select this menu item: 1Type 2Data 3Edit 4Sum 5Var 6MinMax When you want to do this: Display the statistical calculation type selection screen Display the STAT editor screen Display the Edit sub-menu for editing STAT editor screen contents Display the Sum sub-menu of commands for calculating sums Display the Var sub-menu of commands for calculating the mean, standard deviation, etc. Display the MinMax sub-menu of commands for obtaining maximum and minimum values
Paired-variable Menu Item Select this menu item: When you want to do this: Display the Reg sub-menu of commands for regression calculations For details see Commands when Linear Regression Calculation (A+BX) Is Selected and Commands when Quadratic Regression Calculation (_+CX2) Is Selected.
Single-variable (1-VAR) Statistical Calculation Commands
The following are the commands that appear on the sub-menus that appear when you select 4(Sum), 5(Var), or 6(MinMax) on the STAT menu while a single-variable statistical calculation type is selected. See Appendix <#039> for information about the calculation formula used for each command. Sum Sub-menu (11(STAT)4(Sum)) Select this menu item: 1x2 2x When you want to obtain this: Sum of squares of the sample data Sum of the sample data
Var Sub-menu (11(STAT)5(Var)) Select this menu item: 1n 2o 3xn 4xn1 When you want to obtain this: Number of samples Mean of the sample data Population standard deviation Sample standard deviation
MinMax Sub-menu (11(STAT)6(MinMax)) Select this menu item: 1minX 2maxX Appendix When you want to obtain this: Minimum value Maximum value Single-variable Statistical Calculation
<#040> Select single-variable (1-VAR) and input the following data: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (FREQ: ON) <#041> Edit the data to the following, using insert and delete: {0, 1, 2, 3, 4, 5, 6, 7, 9, 10} (FREQ: ON) <#042> Edit the FREQ data to the following: {1, 2, 1, 2, 2, 2, 3, 4, 2, 1} (FREQ: ON) Examples <#043> through <#045> all use the same data as Example <#042>. <#043> Calculate sum of squares of the sample data and sum of the sample data. <#044> Calculate number of samples, mean, and population standard deviation. <#045> Calculate minimum value and maximum value.
Technical Information
k Calculation Priority Sequence
The calculator performs calculations according to a calculation priority sequence. Basically, calculations are performed from left to right. Expressions within parentheses have the highest priority. The following shows the priority sequence for each individual command. 1. Function with parentheses: Pol(, Rec( sin(, cos(, tan(, sin1(, cos1(, tan1(, sinh(, cosh(, tanh(, sinh1(, cosh1(, tanh1( log(, ln(, e^(, 10^(, '(, 3'( Abs( Rnd( 2. Functions preceded by values, powers, power roots: x2, x3, x1, x!, , , r, g, ^(, x'( Percent % 3. Fractions: a b/c 4. Prefix symbol: () (negative sign) 5. Statistical estimated value calculation: m, n, m1, m2 6. Permutations, combinations: nPr, nCr 7. Multiplication and division: , Multiplication where sign is omitted: Multiplication sign omitted immediately before , e, variables (2, 5A, A, etc.), functions with parentheses (2'(3), Asin(30), etc.) 8. Addition and subtraction: +, If a calculation contains a negative value, you may need to enclose the negative value in parentheses. If you want to square the value 2, for example, you need to input: (2)2. This is because x2 is a function preceded by a value (Priority 2, above), whose priority is greater than the negative sign, which is a prefix symbol (Priority 4). Example: y2w= (y2)w= 22 = 4 (2)2 = 4
Multiplication and division, and multiplication where the sign is omitted are the same priority (Priority 7), so these operations are performed from left to right when both types are mixed in the same calculation. Enclosing an operation within parentheses causes it to be performed first, so the use of parentheses can result in different calculation results. Example: 1/215()= 1/(215())= = 1.(2) = 0.1591549431
k Stack Limitations
This calculator uses memory areas called stacks to temporarily store 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.
Numeric Stack 5 4
Command Stack
A Stack ERROR occurs when the calculation you are performing causes the capacity of either stack to be exceeded.
k Calculation Ranges, Number of Digits, and Precision
The calculation range, number of digits used for internal calculation, and calculation precision depends on the type of calculation you are performing. Calculation Range and Precision Calculation Range Number of Digits for Internal Calculation Precision to 9.or digits In general, 1 at the 10th digit for a single calculation. Precision for exponential display is 1 at the least significant digit. Errors are cumulative in the case of consecutive calculations.
Function Calculation Input Ranges and Precision Functions sinx DEG RAD GRA cosx DEG RAD GRA 0 x x 157079632.x x x 157079632.x 11010 Input Range
Functions tanx
DEG RAD GRA
Input Range Same as sinx, except when x= (2n1)90. Same as sinx, except when x= (2n1)/2. Same as sinx, except when x= (2n1)100.
sin1x cos1x tan1x sinhx coshx sinh1x cosh1x tanhx tanh1x logx/lnx 10x
0 x x 9.x 230.x 4.x 4.x 9.x 9.x 9.9999999991099 9.9999999991099 x 99.99999999 9.9999999991099 x 230.x x x ; x G 0 x 0 x 69 (x is an integer) 0 n 11010, 0 r n (n, r are integers) 1 {n!/(nr)!} n 11010, 0 r n (n, r are integers) 1 n!/r! 110100 or 1 n!/(nr)! 110100 x, y 9.9999999991099
ex ' x x2 1/x 3' x x! nPr nCr
Pol(x, y) Rec(r, )
x2+y2 9.9999999991099
0 r 9.9999999991099 : Same as sinx a, b, c b, c x110100 Decimal Sexagesimal Conversions 000 x 99999995959
y ^(x )
x0: 110100 ylogx100 x0: y0 m x0: yn, (m, n are integers) 2n+1 However: 110100 ylogx100 y0: x G 0, 1101001/x logy100 y0: x0 y0: x2n1, 2n+1 (m G 0; m, n are integers) m However: 110100 1/x logy100
Total of integer, numerator, and denominator must be 10 digits or less (including division marks).
Precision is basically the same as that described under Calculation Range and Precision, above. ^(xy), x', 3', x!, nPr, nCr type functions require consecutive internal y calculation, which can cause accumulation of errors that occur with each calculation. Error is cumulative and tends to be large in the vicinity of a functions singular point and inflection point.
k Error Messages
The calculator will display an error message when a result exceeds the calculation range, when you attempt an illegal input, or whenever any other similar problem occurs.
When an error message appears.
The following are general operations you can use when any error message appears. Pressing d or e displays to the calculation expression editing screen you were using before the error message appeared, with the cursor located at the position of the error. For more information, see Displaying the Location of an Error. Pressing A clears the calculation expression you input before the error message appeared. You can then re-input and re-execute the calculation, if you want. Note that in this case, the original calculation will not be retained in calculation history memory.
Math ERROR
Cause The intermediate or final result of the calculation you are performing exceeds the allowable calculation range. Your input exceeds the allowable input range (particularly when using functions). The calculation you are performing contains an illegal mathematical operation (such as division by zero). Action Check the input values, reduce the number of digits, and try again. When using independent memory or a variable as the argument of a function, make sure that the memory or variable value is within the allowable range for the function.
Stack ERROR
Cause The calculation you are performing has caused the capacity of the numeric stack or the command stack to be exceeded. Action Simplify the calculation expression so it does not exceed the capacity of the stack. Try splitting the calculation into two or more parts.
Tags
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