Contents FEATURES ......................................................................... 2 THE KEYBOARD AND OPERATING CONTROLS ........... 2 DISPLAY ........................................................................... 10 CALCULATION................................................................. 11 1. Calculation order of priority................................................ 11 2. Addition, subtraction, multiplication and division and constant calculations. ........................................................ 12 3. Memory calculation............................................................ 13 4. Calculations with parenthesis. ........................................... 14 5. Coordinate conversion:...................................................... 14 6. Complex Calculation.......................................................... 15 7. Statistical calculation. ........................................................ 16 SPECIFICATIONS ............................................................ 17 AUTOMATIC POWER OFF .............................................. 17 BATTERY REPLACEMENT ............................................. 17 - E1 - SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 FEATURES (1) Normal operations. Four operation (+, ­, x, ÷), xy, percentage. y x , auto-constant, parenthesis, (2) Memory calculation (XM, MR, M+). (3) General mathematical function: Trigonometric (3) Arctrigonometric (3) Logarithmic (2) Exponential (2) Square Power Square Root Cube Root Root Parenthesis EXP SCI DEG, RAD, GRAD Reciprocal +/­ Factorial Degree, minute, second conversion (2) (4) (5) (6) (7) FIX XY RND Coordinate conversion. Binary, octal, decimal and hexadecimal mode. Mutual conversions and calculations of binary, octal, decimal, and hexadecimal numbers. Memory protection when power off. An automatic power off feature to preserve battery life. Statistics calculations. · Number of sample (n). · Total of square of all data (x2). · Average ( x ). · 2 kinds of the standard deviation (n­1, n). · Total of all data (x). (8) 2-variable function polar-rectangular coordinate conversion. THE KEYBOARD AND OPERATING CONTROLS (1) [ ON/C ] : 1. Power on and clear an error condition. 2. Set and clear the statistics mode. SD - E2 - SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 (2) [ CE ] : 1. Clear entry key. 2. Factorial function (x!). x! = n x (n­1) x (n­2) x (n­3) x .....x 2 x 1 (3) [OFF] : Power off key. (4) [SHIFT] : This is the key for specifying the second function. When this key is pressed, the special display "SHIFT" lights. When this key press twice continuously, the second function mode releas. (5) [ DRG ] : a. Pressing this key will change the mode of angle unit DEG RAD GRAD and display it sequentially on LCD. b. Pressing this key after [SHIFT] key shall change the mode of angle and shall convert the displayed data. DEG RAD : RAD = DEG x /180 RAD GRAD : GRAD = RAD x 200/ GRAD DEG : DEG = GRAD x 180/200 (6) [0] ~ [9] : Press these keys in their logical sequence to enter numbers. (7) [ RND x! ] : a. Use to set the decimal point when entering numbers. b. When press as the first number, it is regarded as [0] and [ · ] keys are pressed. c. Random as a second function. Pressing this key shall display the random number. The range of random number is 0.000~0.999. (8) [+/­] : a. In setting data in the mantissa section, this key reverse code in the mantissa section similarly for exponent section, it reverse code in the exponent section. b. For the operation result, this key reverse code in the mantissa section. (9) [+], [­], [x], [ ÷ ], [ ( ], [ ) ] a. When the key operations are performed by these keys according to a numerical expression, a result of operation is obtained according to mathematical priorities. Priorities discriminated are: 1) 1-variable function. 2) Expression in "( )"; (The most inner expression has priority in case of multiple parenthesis) 3) xy, 4) x, ÷ 5) +, ­ - E3 y x SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 b. Whenever the key is operated, the calculator discriminates the above priorities and holds the data and operation keys pending as required. This pending action is possible up to 6 times, and 15 levels or more pending become error. c. [ ( ] key is accepted only immediately after [CE], [+], [­], [x], [÷], [xy], [ y x ], [=], [ ( ] keys can not accepted in all other cases. When this key is accepted, the displayed data is cleared to 0. When [ ( ] key is first accepted, the special display "( )" illuminates. When a parenthesis expression is completed [ ) ] and [=] key or When it is cleared by the [ON/C] key, etc. or when errors are generated, the special display "( )" goes out. d. If it is within the allowable range of pending, [ ( ] can be input into any place in an expression as many times as desired. However, if the key is pressed continuously 16 times or more, it becomes error. e. From a viewpoint of numerical expression when the corresponding " ) " key is not pressed, the operation is not executed even if the " ( " key is pressed. On the other hand, When the " ( " key is pressed and the " = " key is the pressed without pressing the corresponding " ) " key, the operation is also completed according to the priority. (10) [XM], [MR], [M+] Memory calculation a. The memory register "M" used by these keys is a completely independent single memory. b. Display data is added to "M" (memory register) by [M+] key. If data overflows at this time, the proceeding data is hold. c. Display data is stored in "M" by [XM] key. d. Contents of "M" is displayed by [MR] key. e. When any data except for 0 is stored in "M", the special display "M" illuminates. (11) [ EXP ] : 1. Exponent select key. 2. This key display a rounded value : 3.141592654. (12) % [ = ] : Calculation a. When any arithmetic functions constant mode has been set, the displayed number is converted from a percentage to a decimal. Example: 61.5% Key Input Display [6] [1] [ · ] [5] [SHIFT] [%] 0.615 b. When [=] key is pressed after [%] following arithmetic function will be executed. - E4 - SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 CALCULATION EXAMPLE KEY OPERATION LCD DISPLAY WHAT IS 30% OF 450? WHAT PERCENTAGE OF 600 IS 120? (120÷600x100=20) WHAT 25% OF 400 IS AN EXTRA? (400+(400x25/100) =500) WHAT 25% 0F 400 IS A DISCOUNT? (400­(400x25/100) =300) 450 [x] 30 [SHIFT] [%] [=] 120 [÷] 600 [SHIFT] [%] [=] 400 [+] 25 [SHIFT] [%] [=] 400 [­] 25 [SHIFT] [%] [=] 0.3 135. 6. 20. 100. 500. 100. 300. (13) Trigonometric and arctrigonometric function / Hyperbolic and arc hyperbolic trigonometric function (1-variable) ([sin], [cos], [tan], [sin­1], [cos­1], [tan­1]). These function are calculated according to respective defined areas and accuracy shown in behind chart, any displayed result of operation can become operators. (14) Exponential and Logarithmic functions (1-variable). ([In], [log], [eX], [10X]) Same as Trigonometric functions. (15) Reciprocal, Square, Square Root, and Cube Root. ([1/x] , [x2], [ (16) [ ],[ 3 ]) Same as Trigonometric functions. ] a. These keys convert degrees, minutes, seconds, into decimal degree and decimal degrees into degree minutes, and seconds. b. On the " " format, the integer part of display data is regarded as degree, 2 digits below the decimal point as minutes and the 3rd digit and belows as seconds. Example: [ ] 2.111111111 [SHIFT] [ ] 2 06 3999 (39.99 seconds) BIN (17) Binary mode ([SHIFT], [ ], [0], [1] ). a. Data input and output are both binary integers in a maximum of 10 digits. b. A negative number is expressed in binary of two's complement. - E5 - SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 c. The range of internal operation is as shown below and if the result of the operation exceed the range, it becomes an error (overflow). Binary Number Outside the operation range ___ 111111111 111111110 111111101 : : 10 1 0 111111111 111111110 111111101 : : : : 1000000001 1000000000 Decimal Number 512 DATA 511 510 509 : : 2 1 0 ­1 ­2 ­3 : : ­511 ­512 DATA ­512 OCT [ x ], [0] ~ [7] ). Binary Positive Integer Binary Negative Integer (Complement) Outside the operation range (18) Octal mode ( [SHIFT], a. Data input and output are both octal integers with a maximum of 10 digits. b. A negative number is expressed in the octal number display of two's complement. c. The range of internal operation is as shown below and if the result of the operation exceed the range, it becomes an error (overflow). Octal Number Outside the operation range Octal Positive Integer ___ 3777777777 3777777776 : : - E6 Decimal Number 536870912 DATA 536870911 536870910 : : SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 1 0 777777777 777777776 111111101 : : : : 4000000001 4000000000 1 0 ­1 ­2 : : ­536870911 ­536870912 DATA ­536870913 Octal Negative Integer (Complement) Outside the operation range (19) Hexadecimal Mode ([SHIFT], [HEX], [0] ~ [9], [A] ~ [F]). a. Data input and output are both hexadecimal integer with a maximum of 10 digits. b. A negative number is expressed in a hexadecimal number of two's complement. c. The range of internal operation is as shown below and if the result of operation exceed the range, it becomes an error (overflow). Hexadecimal Number Outside the operation range ___ 2540BE3FF 2540BE3FE : : 1 0 FFFFFFFFFF FFFFFFFFFE : : FDABF41C02 FDABF41C01 Decimal Number 1x1010 DATA 9999999999 9999999998 : : 1 0 ­1 ­2 : : ­9999999998 ­9999999999 DATA ­1x1010 Hexadecimal Positive Integer Hexadecimal Negative Integer (Complement) Outside the operation range FIX (20) [ SCI ] 1. Used to switch between display mode. 2. Used to set the number of digits display after the decimal point. Example: - E7 - SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 Key input [2] [÷] [3] [=] [SHIFT] [ SCI ] [5] FIX display 0.666666666 0.66667 6.66667-01 6.6666666-01 [ SCI ] [SHIFT] [ SCI ] [ · ] FIX FIX (21) [XY] : Exchange key. Used to exchange the displayed number with the contents of an internal register. (22) [a], [b], [RP], [PR] : Coordinate conversion. a. These keys convert the rectangular coordinate into the polar coordinate and the polar coordinate into the rectangular coordinate. The range units that have been set by the [DRG] key follow. b. Respective defined areas and accuracy are as shown in behind chart however, the range of obtained by RP in degree is as follows: 1st 2nd 3rd 4th Quadrant Quadrant Quadrant Quadrant 0° 90° 90° 180° ­180°­90° ­90° 0° c. Input of 2 variable is performed by setting x or r pressing [a] key and y or pressing [b] key. d. The operation result of x or r is obtained in the display register or by pressing [a] key and y or by pressing [b] key. Input Data a RP (RectangularPolar) PR (PolarRectangular) ( r,) r = x r b y a r x Result b y x 2 + y 2 ,= tan­1 y/x ( x, y) x = r cos, y = r sin - E8 - SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 e. (RP Conversion) ([x, y] [r,]) Key operation x a y b RP b Display x x y y r f. (PR Conversion) ([r,] [x, y]) Key operation b r a PR b SD Display r r x y (23) Statistical calculation mode ([SHIFT] [ ON/C ]). a. When you calculate the calculation of statistics, pressing [SHIFT] [ ON/C ] keys for statistics mode ("SD" sign ). When you clear to statistics mode, press the same keys ([SHIFT] SD [ ON/C ] ). b. You can't perform the memory calculation, parenthesis calculation or conversion of coordinates. c. [DATA] : Data entry key. [DEL] : Data clear key. d. you can calculate the following statistical volume in this calculator. 1. n : Number of data (Number of sample). 2. x : Total of datum. 3. x2 : Total of square of each data. 4. x : Average of datum. 5. n­1: The sample standard deviation of the data. 6. n : The population standard deviation of the data. x= i =1 n SD xi n = x n n - 1 = i =1 ( xi - x )2 n -1 n = x 2 - ( x 2 ) / n n -1 n = i =1 ( xi - x )2 n n = x 2 - ( x 2 ) / n n - E9 - SR135_English_090326.rtf 2009/3/26 SIZE : 140x75mm SCALE 2:1 (24) [00 0] : Digit erase / Complex number mode key. When exponential portion is not specified: [00 0] : Upon pressing this key immediately after the value is entered, displayed value is shifted to the right and the last digit is erased. Example: Entry Display 123456 123456. [00 0] 12345. [00 0] [00 0] 123. 456 123456. When exponential portion is entered: Numberals in exponential ponential portion are shifted right and last digit is erased. At this point, 0 replaces the first digit in the exponential. Example: Entry Display 5 [EXP] 24 [00 0] [00 0] 42 5. 5. 5. 5. 24 02 00 42 CPLX [SHIFT] [CPLX] : Setting and clearing of complex number mode are executed alternately. (25) x : Power / Root key [x y ] [xy] : Press any number [x] ...