SR-281 / SR-282 Scientific Calculator General Guide.................................................................................... 2 Turning on or off .............................................................................. 2 Battery replacement......................................................................... 2 Auto power-off function.................................................................... 2 Reset operation ......................................................................
Displaying results .......................................................................... 28 Deleting data ................................................................................. 31 Editing data.................................................................................... 32 FULL message............................................................................... 32 Complex Calculations.....................................................................
Contrast adjustment Pressing the [ – ] or [ + ] following [ MODE ] key can make the contrast of the screen lighter or darker. Holding either key down will make the display become respectively lighter or darker. Display readout The display comprises two lines and indicators. The upper line is a dot display up to 128 characters. The lower line is capable of displaying a result of up to 12 digits, as well as 2-digits positive or negative exponent.
Before Starting Calculation Using " MODE " keys Press [ MODE ] to display mode menus when specifying an operating mode ( " 1 MAIN ", " 2 STAT ", " 3 CPLX ", " 4 RESET " ) or the engineering symbol notation ( " 5 ENG " ). 1 MAIN : Use this mode for basic calculations, including scientific calculations and Base–n calculations. 2 STAT : Use this mode to perform single–variable and paired–variable statistical calculations and regression calculations.
When a character which is just deleted by [ ], an entry which is just cleared [ CE ], or which is just cleared by [ ON/C ], the " " indicator ] to shown in the display is to tell you that you can press [ 2nd ] [ cancel the operation. Replay function This function stores operations that just have been executed. After execution is completed, pressing [ ] or [ 2nd ] [ ] key will display the operation executed.
[ RCL ] [ B ] [ DEG ] B= 0. Running memory You should keep the following rules in mind when using running memory. • Press [ M+ ] to add a result to running memory and the " M " indicator appears when a number is stored in the memory. Press [ MR ] to recall the content of running memory. • Recalling from running memory by pressing [ MR ] key does not affect its contents . • Running memory is not available when you are in statistics mode.
1) Fractions 2) Expression inside parentheses. 3) Coordinates transformation ( P R , R P ) 4) Type A functions which are required entering values before 2 pressing the function key, for example, x ,1/x, Ӹ, x!, %, RND, ENG, , , x ', y ' . 5) x , 6) Type B functions which are required pressing the function key –1 –1 –1 before entering, for example, sin, cos, tan, sin , cos , tan , –1 –1 –1 sinh, cosh, tanh, sinh , cosh , tanh , log, ln, FRAC, INT, Ѕ, X X 3 , 10 , e , NOT, EXP, DATA in STAT mode.
tanh x x < 1 x 10 100 sinh –1 x x < 5 x 10 99 cosh –1 tanh –1 x x 1 싪 x < 5 x 10 99 x <1 log x, ln x 1 x 10 –99 싪 x < 1 x 10 100 10 x –1 x 10 100 < x < 100 ex –1 x 10 100 < x 싪 230.2585092 x 0 싪 x < 1 x 10 100 x2 x < 1 x 10 50 x3 x < 2.15443469003 x 10 33 1/x x < 1 x 10 100, x ≠ 0 3 x X! R P P R x < 1 x 10 100 0 싪 x 싪 69, x is an integer. x 2 + y 2 < 1 x 10 100 100 0 싪 r < 1 x 10 10 DegΚཎθ ཎ< 4.5 x 10 deg 8 RadΚཎθ ཎ< 2.
but –1 x 10 a b/c 100 1 log ཎyཎ< 100 x < InputΚTotal of integer, numerator and denominator must be within 12 digits (includes division marks) ResultΚResult displayed as fraction for integer when integer, numerator and denominator are less than 1 x 10 12 nPr, nCr STAT 0 싪 r 싪 n, n 싪10 100, n,r are integers. x < 1 x 10 50 , y < 1 x 10 50 Ӻx,Ӻy, x , y ,a, b, r : n ≠ 0 ; Sx, SyΚn ≠ 0, 1 ; x n = 50 ; y n = 50 ; Number of repeats 255, n is an integer.
Arithmetic calculation Arithmetic operations are performed by pressing the keys in the same sequence as in the expression. ¾ 7 + 5 x 4 = 27 7[+]5[x]4[ DEG ] 7 + 5¼4 = 2 7. For negative values, press [ +/– ] after entering the value; You can enter a number in mantissa and exponent form by [ EXP ] key. ¾ 2.75 x 10 – 5 = 0.0000275 2.75 [ EXP ] 5 [ +/– ] [ DEG ] 2 . 7 5E–05= 0.0 0 0 0 2 7 5 Results greater than 10 exponential form.
¾ ( 2 + 3 ) x 10 2 = 500 DEG [ ( ] 2 [ + ] 3 [ ) ] [ x ] [ EXP ] 2 [ ] ( 2 + 3 ) ¼1 E 0 2 = 50 0. Percentage calculation [ 2nd ] [ % ] divides the number in the display by 100. You can use this key sequence to calculate percentages, add-ons, discounts, and percentage ratios. ¾ 120 x 30 % = 36 120 [ x ] 30 [ 2nd ] [ % ] [ DEG ] 1 2 0¼3 0%= 36. ¾ 88 88 [ 55 % = 160 ] 55 [ 2nd ] [ % ] [ DEG ] 88 5 5%= 160. Display notations The calculator has the following display notations for the display value.
DEG [ 2nd ] [ TAB ] 2 6 TAB 7 = 0.8 6 DEG [ 2nd ] [ TAB ] [ • ] 6 7 = 0.8 5 7 1 4 2 8 5 7 1 4 DEG [ F↔E ] 6 7 = 8.5 7 1 4 2 8 5 7 1 4 3 DEG [ ENG ] –03 857. 1 4 2 8 5 7 1 4 3 [ 2nd ] [ ] [ 2nd ] [ DEG ] 03 0.0 0 0 8 5 7 1 4 2 8 5 Engineering Symbol Notation Each time you specify the ENG mode, a displayed result is automatically shown with the corresponding engineering symbol.
[ 2nd ] [ ] [ ] [ 2nd ] [ ENG ] [ 2nd ] DEG K 0.0 0 0 8 5 7 1 4 2 8 5 Scientific Functional Calculations Use MAIN ( [ MODE ] 1 ( MAIN ) ) mode for scientific function calculations. Logarithms and Antilogarithms The calculator can calculate common and natural logarithms and x x anti-logarithms using [ log ], [ ln ], [ 2nd ] [ 10 ], and [ 2nd ] [ e ]. ¾ ln 7 + log 100 = 3.94591014906 [ ln ] 7 [ + ] [ log ] 100 [ DEG ] l n7+ l og100 3.9 4 5 9 1 0 1 4 9 0 6 ¾ 10 2 + e –5 = 100.
[ d/e ], the displayed value will be converted to the improper fraction and vice versa. To convert between a decimal and fractional result, press [ a b/c ]. 2 9 1 ¾ 4 4 = 4 2 = 4.5 = 2 4 [ a b /c ] 2 [ a b /c ] 4 [ DEG ] 4 2 4 = 4 [ a b /c ] 1 2. DEG 4 2 4 = 4.5 [ 2nd ] [ d /e ] [ 2nd ] [ d /e ] DEG 4 2 4 = 9 2. 1 2. DEG 4 2 4= 4 Calculations containing both fractions and decimals are calculated in decimal format. 4 ¾ 8 5 + 3.75 = 12.55 8 [ a b/c ] 4 [ a b/c ] 5 [ + ] 3.
90 [ 2nd ] [ DRG RAD ] 9 0 O = 1.5 7 0 7 9 6 3 2 6 7 9 [ 2nd ] [ DRG GRAD ] 1 . 5 707963267 100. Sexagesimal ↔ Decimal transformation The calculator enables you to convert the sexagesimal figure (degree, minute and second) to decimal notation by pressing [ ] or convert the decimal notation to the sexagesimal notation by [ 2nd ] [ ]. Sexagesimal figure value display is as follow : ʜ 125 45 30 ʜʜ Represent 125 degrees (D), 45 minutes(M), 30.
2 ¾ 3 cos ( 3 π rad) = – 1.5 3 [ cos ] [ ( ] 2 [ x ] [ 2nd ] [ π ] [ 3[ ] RAD ] 3 ¼ c o s ( 2 ¼π 3= – 1.5 ¾ 3 sin –1 0.5 = 90 deg 3 [ 2nd ] [ sin –1 ] 0.5 [ DEG ] 3 ¼ s i n –1 0 . 5 = 90 . Hyperbolic / Inverse-Hyp. functions SR-281 / SR-282 uses [ 2nd ] [ HYP ] to calculate the hyperbolic –1 functions and inverse-hyperbolic functions - sinh, cosh, tanh, sinh , –1 –1 cosh and tanh . (Note) : When using those keys, make sure the calculator is set for the angle unit you want. ¾ cosh 1.5 + 2 = 4.
If x = 5, y = 30, ¾ o what are r, ? Ans : r = 30.4138126515, = 80.537677792 [ 2nd ] [ R P ] 5 [ 2nd ] [ DEG ] 30 R ( ) P( 5 , 30 [ DEG ] r 30. 4 1 3 8 1 2 6 5 1 5 DEG [ 2nd ] [ x ↔y ] θ 8 0. 5 3 7 6 7 7 7 9 2 If r = 25, ¾ = 56 20.7259393139 o what are x, y ? Ans : x = 13.9798225868, y = [ 2nd ] [ P R ] 25 [ 2nd ] [ DEG ] 56 P ( ) R ( 2 5 , 5 6 [ DEG ] X 13. 9 7 9 8 2 2 5 8 6 8 DEG [ 2nd ] [ x ↔y ] Y 20.
7 [ 2nd ] [ nCr ] 4 [ DEG ] 7C4 = 35. ¾ 5 ! = 120 5 [ 2nd ] [ X ! ] [ DEG ] 5 ! 120. ¾ Generates a random between 0.000 ~ 0.999 DEG [ 2nd ] [ RND ] Rnd 0.4 4 9 Other functions ( 1/x, FRAC ) , , 3 2 3 y , x , x , x , INT, X The calculator also provides reciprocal ( [ 2nd ] [ 1/x ] ), square root ( [ Ѕʳ ] ), cubic root ( [ 2nd ] [ 3 ] ), universal root ( [ 2nd ] [ X ] ), 2 3 y square ( [ x ] ), cubic ( [ 2nd ] [ x ] ), and exponentiation ( [ x ] ) functions. 1 ¾ 1.25 = 0.8 1.
¾ FRAC ( 10 8 ) = FRAC ( 1.25 ) = 0.25 [ 2nd ] [ FRAC ] 10 [ ]8[ DEG ] FRAC ( 1 0 8= 0.2 5 Unit Conversion The calculator has a built-in unit conversion feature that enables you to convert numbers among different units. 1. 2. Enter the number you want to convert. Press [ CONV ] to display the menu. There are 7 menus, covering distance, area, temperature, capacity, weight, energy, and pressure. Use the [ CONV ] to scroll through the list of units until a ].
5. Newtonian constant of gravitation 6. Planck constant 7. Planck constant over 2 pi 6.67310 x10 –11 m 3 kg G 6.6260687652 x10 K ȉ1 s –34 ȉ2 Js 1.05457159682 x10 –34 J s 8. Avogadro constant 9. Planck length h NA lp 10. Planck time tp 5.390640 x10 –44 s 11. 12.
42. Josephson constant 43. Von Klitzing constant 44. Bohr magneton 45. Bohr magneton in Hz/T 46. Bohr magneton in K/T 47. Nuclear magneton 48. Nuclear magneton in MHz/T 49. Nuclear magneton in K/T 50. Classical electron radius 51. Electron mass Electron mass energy equivalent 52. 53. Electron–muon mass ratio 54.
73. 1.8835310916 x10 –28 kg 75. Muon mass Muon mass energy equivalent Muon–tau mass ratio 76. Muon–proton mass ratio 77. Muon–neutron mass ratio Muon magnetic moment anomaly Muon g–factor Muon Compton wavelength Muon Compton wavelength over 2 pi Muon magnetic moment mµ/mn Muon magnetic moment 83. to Bohr magneton ratio Muon magnetic moment to 84. nuclear magneton ratio Muon–proton magnetic 85. moment ratio 86. Tau Compton wavelength Tau Compton wavelength 87. over 2 pi 88.
102. Proton gyromagnetic ratio Shielded proton 103. gyromagnetic ratio Proton magnetic shielding 104. correction 105. Proton g–factor Neutron Compton 106. wavelength Neutron Compton 107. wavelength over 2 pi 108. Neutron mass Neutron mass energy 109. equivalent Neutron magnetic 110. moment Neutron magnetic 111. moment to Bohr magneton ratio 112. Neutron g–factor Neutron gyromagnetic 113. ratio 114. Deuteron mass Deuteron mass energy 115. equivalent 116. Deuteron molar mass Deuteron–electron mass 117.
Shielded helion magnetic µ'h/µB 129. moment to Bohr magneton ratio Shielded helion magnetic µ'h/µN 130. moment to nuclear magneton ratio Shielded helion γ' h 131. gyromagnetic ratio mα 132. Alpha particle mass Alpha particle mass mαc 2 133. energy equivalent 134. Alpha particle molar mass M(α) Alpha particle to electron m /m 135. α e mass ratio Alpha particle to proton mα/mp 136. mass ratio ȉ1.15867147414 x10 –3 ȉ2.12749771825 2.03789476485 x10 8 s –1 T –1 6.6446559852 x10 –27 kg 5.9719189747 x10 –10 J 4.
The unit enables you to calculate in number base other than decimal. The calculator can add, subtract, multiply, and divide binary, octal, and hexadecimal numbers. The following shows the numerals that can be used in each number base.
Indicates Block 4 presently displayed Indicates Block 3 presently displayed Indicates Block 2 presently displayed Indicates Block 1 presently displayed DEG BIN 110 10 011 b Indicates total blocks : 1 block Indicates total blocks : 2 blocks Indicates total blocks : 3 blocks Indicates total blocks : 4 blocks The block function comprises upper and lower block indicators. The upper indicator means current block position, and the lower indicator means total blocks for a result.
Basic arithmetic operations for bases ¾ 1IEIF 16 + 1234 10 1001 2 = 1170 8 DEG [ 2nd ] [ HEX ] 1E F [ + ] [ 2nd ] [ DEC ] 1234 [ ] [ 2nd ] [ BIN ] 1001 [ ] [ 2nd ] [ OCT ] OCT h 1 IE IF + 1 2 3 4 b 1 0 00 0 0 0 0 1 1 7 0 o Negative expressions In binary, octal, and hexadecimal bases, the calculator represents negative numbers using complement notation. The complement is the result of subtracting that number from 10000000000 in that number's base by pressing [ NEG ] key in non-decimal bases.
LIN LOG EXP POW Linear Regression Logarithmic Regression Exponential Regression Power Regression D–CL Clear all statistical data y=a+bx y = a + b lnx bx y=a•e b y=a•x Entering data Always make sure you clear statistical data by D–CL before performing statistical calculations.
Minimum (CPU, CPL) of the x values, where CPU is upper spec. limit of capability CPK ( [CPK] ) precision and CPL is lower spec.
You also can add a new data anytime. The unit automatically recalculates statistics each time you press [ DATA ] and enter a new data value. ¾ Enter data : USL = 95, LSL = 70, DATA 1 = 75, DATA 2 = 85, DATA 3 = 90, DATA 4 = 82, DATA 5 = 77, then find out n = 5, = 81.8, Sx = 6.05805249234, ıx = 5.41848687366, CP = 0.76897236513, and CPK = 0.72590991268 DEG [ MODE ] 2 1–V A R [ ] [ DATA ] 75 [ DATA ] 85 [ DATA ] 90 [ DATA ] 82 [ DATA ] 77 L I N DEG DATA STAT L OG STAT 5 7 7 [n] DEG STAT n 5.
[ ] DEG STAT CPK 0.7 2 5 9 0 9 9 1 2 6 8 ¾ Find a, b and r for the following data using linear regression and estimate x = ? for y =573 and y = ? for x = 19. Data item 15 17 21 28 FREQ. 451 475 525 678 [ MODE ] 2 [ ] DEG 1–V A R [ ] [ DATA ] 15 [ ] 451 [ DATA ] 17 [ ] 475 [ DATA ] 21 [ ] 525 [ DATA ] 28 [ ] 678 [ 2nd ] [ a L I N STAT L OG DEG DA T A STAT REG 4 = 2 8 , 6 7 8 ] DEG STAT REG a 1 7 6.1 0 6 3 2 9 1 1 4 [ 2nd ] [ b ] DEG STAT REG b 1 7.
# < x value > [ x ] < Number of repeats > [ 2nd ] [ DEL ] (B) To delete paired–variable / regression data using the following syntaxes: # Individual data-set : < x value > [ # Multiple data-set with the same value : < x value > [ ] < y value > [ x ] < Number of repeats > [ 2nd ] [ DEL ] ] < y value > [ 2nd ] [ DEL ] If you enter and delete a value that isn't included in the stored data by mistake, " dEL Error " appears, but the previous data are still retained.
3) n!12750 (n = 12750 appears when the times of data entry by [ DATA ] are up to 50 and the number of repeats for each value are all 255, i.e. 12750 = 50 x 255 ) Complex Calculations Use CPLX ( [ MODE ] 3 ( CPLX ) ) mode for complex calculations. Complex mode enables you to add, subtract, multiply, and divide complex numbers.