HP 9s Calculator
Contents
1. e Recalling from memory does not delete the contents of memory e The memory is not available when you are in statistics mode e To copy the displayed number to memory press XM e To clear the memory press 0 XM or CE XM in that order CE X gt M pee 0 3x5 3 x 5 M MFC 15 56 7 56 7 M M_ S 8 74 8x7 74 8 x 7 M Mm DES 18 Total MR Mm DES 41 O X M vee 0 Common Math Calculations The following example calculations assume that your display is fixed at 2 decimal places Reciprocal Factorial rad tan 1 grad 1 2ndF tan GRAD 50 00 Hyperbolic and Inverse hyperbolic functions cosh1 5 sinh1 5 1 5 HYP cos 1 5 DEG LHYP sin ENTER 4 48 sinh 7 7 HYP 2ndF sin pee 2 64 tanh 1 1 HYP tan DEG 0 76 Rectangular and Polar coordinates Rectangular Coordinates Polar Coordinates YI YI 4 Pk y P r 8 l y l r l l 0 0 x a b i r cos i sin Note Before undertaking a coordinates conversion calculation make sure that the appropriate angular unit is set Converting from Rectangular to Polar fa 5andb 6 5 a 6 b 2ndF R gt P 7 81 what are rand b DEG 50 19 Converting from Polar to Rectangular ifr 25 and 25 a 56 b 2ndF e 4398 56 what are a P gt R 3 and b b DES 20 73 Permutations2. 2ndF DRG gt GRAD 100 00 expressed as complements The complement is the result of subtracting that number from 10000000000 in that number s base You do this by pressing in a non decimal base Calculate the complement of f ondF gt BIN 11011 binary number 11011 DEG BIN 1111100101 Complex Number Calculations Press CPLX to enter complex number mode The CPLX indicator appears on the display You can add subtract multiply and divide complex numbers Complex numbers are generally represented as a b i where a is the real part and bi is the imaginary part 2ndF CPLX 7 a 9 7 9i b 15 a 10 b P 9 22 00 15 10i ENTER b DEG CPLX 1 00 Note Memory calculation is available in complex number mode Random Numbers Press 2ndF RND to generate a random number between 0 000 and 0 999 Unit Conversions The unit conversion keys are F lt C mmHg lt gt Kpa gal lt 1 lb lt gt kg and oz lt g The following example illustrates the general procedure for converting values from one unit to another 12in cm 12 A gt B 2ndF in lt gt cm PES 30 48 98 2ndF A lt B 2ndF bec 98 cm in in lt gt em 38 58 Statistics Press 2ndF STAT to enter statistics mode The STAT indicator appears on the display In statistics mode you can calculate the
3. 875 Les 2ndF dc DES 124 415 15 f you press a b c after pressing ENTER or if a fraction was combined with a decimal number the answer is displayed as a decimal number 4 3 5 ab c 4 ab c 9 3 bec 52 3 gt 9 74 ab c 3 ab c 4 ENTER ITG 7 9357 919 abic DEG 9 19 4 8 ab c 4 ab c 9 DEG i249 Bgt 3 75 12 19 3 75 ENTER Where possible a fraction is reduced to its lowest terms after you press x or ENTER 119 _ 02 3 able 119 ab c 21 DEG 337 83 ENTER 8 U 213 A result is displayed in decimal format if the integer numerator denominator and fraction symbols are together more than 10 digits 5 _6 12345 ab c 5 abic 16 1234575 573 1 5 ablc 6 abic 13 12350 77 ENTER DEGE 12350 77 Converting Angular Units You can specify an angular unit of degrees DEG radians RAD or grads GRAD You can also convert a value expressed in one angular unit to its corresponding value in another angular unit The relation between the angular units is 180 x radians 200 grads e To change the angular unit setting to another setting press DRG repeatedly until the angular unit you want is indicated in the display e After entering the value of an angle press 2ndF DRG repeatedly until the value is converted to the desired unit 90 deg 90 DES 90 rad 2ndF DRG RAD 1 57 grad
4. hp 9s Scientific Calculator General Operations Power Supply On or Off To turn the calculator on press ON C To turn the calculator off press 2ndF OFF Auto power off function The calculator automatically turns off if it has not been used for approximately 9 minutes Power can be restored by pressing the ON C key again Memory contents and the current mode setting STAT DEG CPLX Base n etc are retained when you turn off the power and when the calculator automatically turns off Battery replacement The calculator is powered by two alkaline button batteries GP76A or LR44 If the display becomes dim and difficult to read the batteries should be replaced as soon as possible To replace the batteries 1 Slide the battery cover off and remove the old batteries 2 Insert new batteries with positive polarity facing outward 3 Replace the battery cover and press ON C to turn on the power The keyboard Most of the keys can perform two functions Ex 7 Change 12385 to 789 1 Key in 12385 PEQ 789 2 Press CE 789 Ex 8 Change 12385 to 123 1 Key in 12385 DES 123 2 Press 00 0 twice In a series of calculations you can correct errors in intermediate results by pressing ON C This clears the calculation without clearing memory If you press the wrong arithmetic operation key just press CE and then the correct arit
5. ENTER 3 Enter 3 to overwrite 2 Poe EDU STAT 3 4 Press ENTER to make the change 5 Press 2ndF EDIT to exit edit mode Ex 13 Based on Ex 9 delete the first data entry of value 2 Method 1 1 Press 2 2ndF DEL to delete 2 Method 2 1 Press 2ndF EDIT DEG ED STAF 10 00 2 Display 2 by pressing DATA or DES LED STAT 79 00 ENTER 3 Press 2ndF DEL DES EDUSTAN _ 5 00 4 Press 2ndF EDIT to exit edit mode Delete Error If you try to delete a value that is not in the dataset dEL Error appears Existing data is not affected Ex 14 Delete 7 from the dataset in Ex 9 1 Press 7 2ndF DEL one 4 RAN dEL Error 2 Press any key to clear the message PES SUOT 0 00 Ex 15 Delete 5 x 5 from the dataset in Ex 9 1 Press 5 5 2ndF DEL DEG STAT dEL Error 2 Press any key to clear the message PES TESTON 0 00 Weighted Data Entry Method Instead of entering each data item individually you can enter the value and the number of occurrences of that value up to 255 The data from Ex 9 can be entered as follows Value Number of occurrences Alternative method 2 1 DATA 2 5 4 DATA 5 x 4 9 3 DATA 9 3 where item 1 2 items 2 to 5 5 and items 6 to 8 9 Error Conditions The indicator FULL appears when any of the following conditions occur Further data entry is not possible Press any key to clear the indicator Providing that you remain in statistics mode previ
6. above the key When you press 2ndF the 2ndF indicator appears in the display to sin x cos x x s1 indicate that you will be selecting the second function of the next key E x lt 1x10 1 you press If you press 2ndF by mistake simply press 2ndF tan x again to remove the 2ndF indicator sii cash x lt 230 2585092 Note A B C D E F are 1st functions in HEX mode 1 x 10 Display Symbols tanh x BLS The following symbols shown on the display indicate the status of sinh x x lt 5x 10 the calculator cosh x 1 lt x lt 5x10 DEG or RAD or GRAD degrees radians or grads angular unit tanh x x lt 1 M A value is in memory CPLX Complex number mode E Overflow or error STAT Statistical mode log x In x x10 lt x lt 1x10 Minus 2ndF 2ndF key pressed 10 1x10 lt x lt 100 Parentheses calculation CP Precision capability x 00 i BIN Binary mode CPK Process capability ato lt x lt 230 2585092 OCT Octal mode o Deviation vx 0 lt x lt 1x10 HEX Hexadecimal mode USL Setting upper limit x x lt 1x10 ED Edit mode LSL Setting lower limit a 700 HYP Hyperbolic mode x x lt 1 x10 X 0 Ux x lt 1x10 Display Formats x 0 lt x lt 69 where xis an integer The calculator can display numbers in four formats floating point F mer fixed point scientific and engineering Ree yx y lt 1x10 Floating point format P gt R 0 lt r lt 1x10 The floating point format displays numbers in decimal form
7. using up Deg lt 4 5 x 10 deg to 10 digits Any trailing zeros are truncated Rad 6 lt 2 5 x 10 z rad If the result of a calculation is too large to be represented by 10 digits Grad 6 lt 5 x 10 a grad the display automatically switches to scientific format If the result of a Also for tan x later calculation is small enough to be displayed in less than 10 digits j s the calculator returns to floating point format Deg 90 2n 1 To set the display to floating point display format Rad z 2n 1 DEG 1 Press 2ndF FIX 0 Grad 6 100 2n 1 Fixed point format where n is an integer The fixed point scientific and engineering formats use a fixed Som DD MM SS SS lt 1x10 number of decimal places to display numbers If more than the p specified number of decimal places is keyed the entry will be rounded MM SS SS to the correct number of decimal places Pees x lt 1x10 100 Ex 1 Fix the display at 2 decimal places then key in 3 256 x X gt 02 1 x 10M e y log x lt 100 1 Press 2ndF FIX 2 DEG 0 00 2 05yS0 2 Key in 3 256 ENTER am 3 26 x lt 0 y n 1 2n 1 If fewer than the set number of decimal places is keyed the entry will where n is an integer be padded with trailing zeros 100 1 but 1x10 lt log x 100 Ex 2 Fix the display at 4 decimal places then key in 4 23 y DEG 1 Press 2ndF FIX 4 0 0000 WY y gt 0 x 0 1x10 lt Leg y lt 100 2 Key in 4 23 ENTER ae 4 230
8. following single variable statistics n number of data items x sum of the values of all the data items x sum of the squares x mean value 2 2 sample standard deviation am n is ux x 2 n o population standard deviation n Continued on other side USL LSL CP precision capability oT CPK process capability Min CPU CPL where CPU YSL p X LSL 30 Note In statistics mode all function keys are available except those used for base n calculations Ex 9 Enter the following data 2 5 5 5 5 9 9 and 9 and calculate x xX n x S CP and CPK where USL value 12 and LSL value 2 In STAT mode 2ndF STAT DES STAT 000 DATA 2 DEG STAT 2 DATA 5 DEG STAT 5 DATA1 5 DEG STAT 5 DATA 5 DEG STAT 5 Enter all data DATA 5 DEG STAT 5 DATA 9 DEG STAT 9 DATA 9 DEG STAT 9 DATA 9 DEG STAT 9 ENTER DEG STAT 0 00 x 2 x DEG STAT 6 13 n n DEG STAT 8 00 S S DEG STAT 25g x 2ndF 2x pes STAT 49 00 Zx 2ndF 2x2 Des STAT 347 00 o 2ndF 0 DEG STAT 242 6 2ndF CP 12 pees ne igre cP ENTER 2 DEG STAT 2 aa ENTER DEG STAT 0 69 SP 2ndF CPK DES SIAT 42 00 fae CPK ENTER mee SET 200 ENTER DEG STAT 0 57 CPK Note The calculator retains the data you have entered until you exit statistics mode The data is retained even if you turn off the calculator or it automa
9. pending operations 9 Corrections If you have made a mistake when entering a number and you have not yet pressed an arithmetic operator key just press CE to clear the last entry You can then input the desired number again Alternatively you can delete digits one at a time by pressing the backspace key 00 gt 0 J If the calculator becomes locked and pressing keys has no effect press M and ENG at the same time This unlocks the calculator and returns all settings to their default values Basic Calculations The following examples of basic calculations assume that your calculator is in decimal base and with floating point display Mixed Arithmetic Calculations Trigonometric and Inverse Trigonometric Functions Before undertaking a trigonometric or inverse trigonometric 1 2x3 1 2 3 ENTER DEG 7 calculation make sure that the appropriate angular unit is set 3 548 2 35 8 12 Re 0 5 3 sin 85 3 x 85 sin ENTER DEG 2 99 ENTER cos Z rady L2R0F IE z IE 14 ENTER rao o7 Parentheses Calculations 4 cos cake Operations inside parentheses are always executed first You can tan 150 grad 150 tan 1 00 specify up to 15 levels of parentheses in a single calculation When sin 0 5 deg 0 5 2ndF sin a PEG 30 00 you enter the first parenthesis the indicator appears on the display and remains until each opening parenthesis has a corr
10. 0 y 0 x gt 0 Scientific format e y lt 0 x 2n 1 lin In scientific format the number 891500 is shown as 8 915 x 10 F hi t ther than 0 where 8 915 is the mantissa and 5 is the exponent of 10 epee ie aoe olen ear Ex 3 To display 7132 x 125 in scientific format but 1x10 lt log y 100 4 Key in 7132 x 125 ENTER DEG 891500 a Pie Input The integer numerator denominator and fraction symbols must in total be no 2 Press FE PES 8 915 more than 10 digits y ientifi ion b EXP aft Result Displayed as a fraction when the ou can convert an entry to scientific notation by pressing I after integer numerator and denominator are entering the mantissa 10 r each less than 1 x 10 Ex 4 Key the number 4 82296 x 10 nPr nCr O0 lt rsn n 9999999999 n rare integers 1 Key in 4 82296 EXP 5 DEG 4 82296 STAT Ix lt 1x10 sx lt 1x10 Engineering format 0 lt Ex lt 1 x 10 n r are integer Engineering format is similar to scientific format except that the x n 0 S noto N20 mantissa can have up to three digits to the left of the decimal and the Range 1 r 1 amp n r 8051 20400 exponent is always a multiple of three This is useful if you have to DEC lt X 9999999999 for zero or positive convert units that are based on multiples of 10 S 3 9999999999 lt X lt 1 for negative Ex 5 Convert 15V to 15000mV V Volts m 4 DEG BIN 0 X lt 0111111111 for zero or 1 Keyin 15 15 pos
11. and Combinations n n nPr aoi POS rior How many permutations of 4 items can you 7 2ndF nPr 4 ENTER PEG 840 00 select from a set of 7 items How many combinations of 4 items can you 7 2ndF nCr 4 ENTER PES 35 00 select from a set of 7 items Sexagesimal lt gt Decimal form Conversions You can convert a sexagesimal figure degree minute and second to a decimal number by pressing 9 and convert a decimal number to a sexagesimal figure by pressing 2ndF gt 07 Sexagesimal figures are displayed as follows 12 degrees 45 minutes 30 5 seconds Note If the total number of digits ina DD MM and SS SS figure exceeds 8 the figure is truncated 12 45 30 5 Converting from Sexagesimal to Decimal 12 deg 45 min 12 0 45 0 gt 30 5 pec hoe 30 5 sec om Converting from Decimal to Sexagesimal 2 12345 2 12345 2ndF gt 07 DEG 2 a7 124 142 Base n Calculations Converting between bases EI 1 25 2ndF x ENTER PES 0 80 You can add subtract multiply and divide binary octal and 1 25 DEG hexadecimal numbers in addition to decimal numbers Select the S 5 2ndF x ENTER 120 00 number base you want by pressing BIN gt OCT HEX or Square Square Root Cube Root Power Other Roots gt DEC The BIN OCT an
12. d HEX indicators show you which base 27437 7 2 x 3 x 4 ENTER PES 85 00 you are using If none of these indicators is displayed you are using 51 27 2ndF LV J decimal base n 5x327 34 34 Vv ENTER an 20 83 The number keys that are active in a particular base are 972 72 2ndF rv 19 ENTER DEG 1 61 Binary base 0 and 1 Logarithms and Antilogarithms Octal base 0 to 7 In7 log100 7 In 100 log ENTER PES 3 95 Decimal base 0 to 9 10 2 2ndF 10 ENTER DEG 100 00 Hexadecimal base 0 to 9 and A to F oo ao 5 2ndF e 2 4 pec 31 base 10 2ndF gt DEC 31 DEG 31 e e 2ndF e ENTER 148 28 base 2 2ndF gt BIN DEG BN 41111 P Fraction calculations ES i 2ndF gt OCT PER RONO AT Fractions are displayed as follows base 16 2ndF gt HEX PES MEX 1F 2ndF gt HEX 4 x 1B DEG HEX 5 4 x 1B base 16 ENTER 6c 5 112 5 5 nas a 2ndF gt BIN PEG BN41101100 e a 2ndF gt DEC DEG 108 00 56 U 5 112 562 2ndF gt OCT DEG OCT 154 12 Note The display is truncated if the integer numerator denominator Negative Numbers and Complements and fraction symbols together are more than 10 digits n binary octal and hexadecimal bases negative numbers are Press 2ndF 4 c to convert the displayed value to an improper traction 2 3 S472 2 abic 3 7 ablc 3 loes 3 gt a b c 5 ENTER Burg 118
13. esponding cos EE 2 v 2ndF x 2ndF rap closing parenthesis V2 cos a 0 79 52 15 x3 ve ap ae 15 2 11 5 13 nae C4 0 8 4 ENTER 2x 7 6x 5 2 x 7 6 5 P amp S 122 4 L 4 ENTER Note It is not necessary to press before ENTER Repeating a Calculation You can repeat the last number entered or the last operation executed by pressing ENTER Repeating the last number 3x3 3 x ENTER i 9 3x3x3 ENTER DEG 27 3x3x3x3 ENTER DEG 81 Repeating the last arithmetic operation 321 357 321 357 ENTER DEG 678 654 357 654 ENTER DEG 1011 579 159 579 159 ENTER aoe 420 456 159 456 ENTER REGI 297 18x45 3 x 6 x 45 ENTER PEG 810 18x 23 23 ENTER pE 414 18 x 0 5x10 0 5 EXP 2 ENTER DEG 900 96 8 96 8 ENTER BES 12 75 8 75 ENTER pee 9 375 1 2x10 8 1 2 EXP 2 ENTER DEG 15 Percentage Calculations 120 x 30 2ndF DEG 30 of 120 ENTER 36 70 of 120 a5 andF ENTER DEG rv 88 is 55 of what 88 55 2ndF DEG aco number ENTER 30 markupof 120 30 2ndF DEG 120 ENTER 156 30 discount of 120 30 2ndF DEG 120 ENTER Memory Calculations e The M indicator appears when a number is stored in memory
14. hmetic key Exchange key Pressing 2ndF X lt Y changes the currently displayed value to the previously displayed value 123 456 ENTER REG 579 00 123 456 2ndF XY DEG 456 00 2ndF XY De 579 00 Accuracy and Capacity Accuracy 1 in the 10th digit Capacity In general calculations can be displayed as a mantissa of up to 10 digits a 10 digit mantissa together with a 2 digit exponent up to 10 or as an integer between 9999999999 and 9999999999 Numbers used as input to a particular function must be within the allowable range for that function as set out in the following table Functions Allowable input range ea sin x cos x tan x A 10 2nd function sin 1 Deg x SESAN g deg 1st function sin Rad a SASF et mrad 4st functions Grad x lt 5 x 10 grad These are functions that are executed when you press a key without Also for tan x first pressing 2ndF The function performed is indicated by the label Deg x 90 2n 1 on the key n 2nd functions Red pei a201 These are functions that are executed when you press a key after first Grad x 100 2n 1 pressing 2ndF The function performed is indicated by the label where n is an integer
15. itive 2 Press ENG twice i 15000 1000000000 lt X lt 1111111111 Ex 6 Convert 15V to 0 015KV_ V Volts for negative 1 Key in 15 DEG 15 gt OCT lt X lt 3777777777 for zero or positive 4000000000 lt 7777777777 2 Press 2ndF lt 2ndF lt DEG 0 015 for negative Order of Operations gt HEX 0 lt X lt 2540BE3FF for zero or positive Each calculation is performed in the following order of precedence FDABF41C01 lt X lt FFFFFFFFFF for 1 Operations in parentheses A negative 2 Functions that require pressing the function key before entering a es value for example DATA in statistics mode and EXP Overflow and Error Conditions 3 Functions that require values to be entered before pressing the The symbol E appears when any of the following conditions occur function key for example cos sin tan cos ay sin a tan log In Press ON C to remove the overflow or error indicator xx v Z v x RND ENG gt 01 o gt and the unit e When you attempt to perform a function calculation with a number conversion functions outside the allowable input range 4 Fractions e When you attempt to divide a number by 0 5 e When you have pressed the key more than 15 times in a 6 x XV single expression 7 nPr nCr e When any result whether intermediate or final or the s accumulated total in memory is outside 9 999999999 x 10 s 8 x e When there are more than six
16. ously entered data entries are unaffected e You attempt to enter more than 80 data items e The number of occurrences of of any particular data value is greater than 255 e The product of the number of data items and the number of occurrences is greater than 20400 OF invent Copyright 2002 Hewlett Packard Development Company L P Reproduction adaptation or translation without prior written approval is forbidden except as allowed under copyright laws Printed in China HDPMR178E23 MWB HP part number F2212 90001
17. tically turns off Viewing Statistics Data Press DATA or ENTER in edit ED mode to view the statistics data you have entered If you press DATA the item number of the data appears briefly before the value Ex 10 View the data entered in Ex 9 Method 1 1 Press 2ndF EDIT to enter edit mode 2 Press DATA once to view the first data item DEG ED STAT DEG ED STAT dAtA 1 1 5 seconds gt 2 00 3 Continue pressing DATA to display each data item You will see data 2 5 00 data 3 5 00 data 4 5 00 data 5 5 00 data 6 9 00 data 7 9 00 data 8 9 00 in sequence Method 2 1 Press ENTER once to view the first data item DEG ED STAT 2 00 2 Continue pressing ENTER to display each data item You will see 5 00 5 00 5 00 5 00 9 00 9 00 9 00 in sequence Adding a Data Item Ex 11 To add a 9th data item of value 10 to the Ex 9 dataset 1 Press DATA 10 DEG IED STAT 10 The calculator updates the statistics as you enter data You can then recall the statistics to get x 6 56 n 9 00 S 2 74 x 59 00 Zx 447 00 and o 2 59 Editing Statistics Data Ex 12 Change the value of data item 1 in Ex 9 from 2 to 3 Method 1 1 Press 2 2ndF DEL 3 Method 2 1 Press 2ndF EDIT DEG ED STAT 000 2 Display 2 by pressing DATA or DEG ED SAT Sigg
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