HP 9G
Contents
1. Line Program Note Subroutine 1 Q 2 2 C H JAJR G E 0 5 3 EJNID Program Type MAIN Line Program Note Subroutine 11J 2 I A 2 PIR 51 SJL 5 Line Program Note Subroutine 1 1 5111 2 PIR IL INIT 3 Line Program Note 1 N 2 PIRIO G 11 A 4 2 5 27 6 P R O G 3 7 WN 15 486 2 gt CHARGE 4 5 POWER 243 VOLTAGE 2 ENTER 4 15 N 1 5 lt proc 5 Seconds 4 5 proc 82 486 154864 1 proc 2 24 Bl proc 5 Seconds POWER 243 B proc VOLTAGE 2 f Example 60 Create a program that graphs Y 9 X and Y 2 X with the following range settings X min 3 4 X max 3 4 X sd 1 Y min 3 Y max 3 1 Program Type MAIN Line2. ENTER 14 proc 4 6 15 44 ENTER J 3 ENTER 4 proc ENTER 008 1561 f proc Create a program to determine solutions to the quadratic equation A X BX C 20 D B 4AC 8 40 8 IEEE E B 2 D 0 Xs 5 _ 4 0 _ 3 D lt 0 Xa Ca E73 Program Type MAIN 1 2 0 4 A C 3 B 2 A CBJAJB S JD 2 4 5 20 1 HL 1 11 6141 X 2 2 6 I F JD TIHIEJN CIPIR 1 511 7 111 0 1 4101 TIHIEJN LIN 1 11 5 21 8 RUN 112 2 7 5 0 2 25 1 ENTER 4 D 2 ENTER 7 Gute ENTER 15 5 proc 1 2 5 2 1 proc 2 25 70 49 0 gt 1 4 ENTER A24 0 proc 25 ENTER 111 1 TP 70 ENTER 49 Bl E74 ENTER Bl Proc 3 X 2X 5 0 gt 1 2 1 21 ENTER 11 ENTER 121 ENTER 15 1 4 proc 54 Bl proc 1 1 21 2 1 B proc 21
3. gt Xx Xx T Xy xy 0 111111111 Cay Graph 4 5 smrt Example 45 E In the data Example 44 change Y 410 Y 9 5 X 2 8 then find Sx 2 645751311 DAS DATA INPUT LIMIT DISTR B sus ENTER 11 19 1594 t sra 18 2 8 4 t smr E 61 2nd 1 5 11 gt 1 gt n Sx n Xmax CVx Xmin 2 645751311 m STAT 46 E Enter the data 2 X 3 FREQ 2 5 FREQ 9 12 FREQ 7 then find t 1 510966203 P 0 0654 Q t 0 4346 R 0 9346 1 2 VAR REG Pace _ 5 ENTIER V DATA INPUT vi LIMIT DSLR ENTER ENTER ITER 2 ENTER au 2 estat 13 12 1 274 151 191 112 ERE Qami 17 2nd STATVAR P t Q t t R t t 1 510966203 sra lt I P t Q t R t t E 0 9346 estat E 62 lt P t Q t t R t t 0 4346 lt P t Q t t R t t 0 0654 Example 47 E Given the following data use linear regression to estimate 573 and y 19 for y X 15 17 21 28 Y 451 475 525 678 MODE 1 1 VAR 2 VAR REG D CL ENTER E LIN LOG
4. MATH MATH gt 1 OMAX IMIN 1 2SUM 3AVG a ENTER sin 30 gt ILAPHA L 911819 MIN sin 30 ENTER 0 5 5 20 SUM 13 15 23 51 MATH MATH Y 1 OMAX IMIN 1 2SUM 3AVG ENTER 13 ALPHA 9 SUM 13 15 2 15 ALPHA 9 1 23 UG ENTER 51 21 AVG 13 15 23 17 MATH MATH OMAX IMIN 1 2SUM 3AVG ENTER 113 ALPHA 9 15 9 123 Rasen ENTER 17 22 Frac 1028 Frac 1 25 0 25 MATH MATH MATH 1 OFrac 1INT f 25GN 3ABS E 48 ENTER 10 Frac 10 8 t 0 25 23 INT 10 8 INT 1 25 1 MATH MATH MATH 1 gt OFrac 1INT 2SGN 3ABS 8 INT 10 8 t 1 m 24 SGN log 0 01 SGN 2 1 MATH MATH MATH OFrac 1INT f 2SGN 5 ENTER log 0 01 1 ENTER 9 SGN log 0 0 f si m 25 ABS log 0 01 ABS 2 2 MATH MATH MATH OFrac 1INT f 3ABS log 0 01 t ENTER 3 ABS log 0 0 15 2 E 49 2671 7 4 840 7 MATH MATH nor f 2Defm ENTER 4 ENTER 7 nPr 4 T nPr 840 o 27713 7 4 x 4 35 7 MATH MATH Jonpr incr t MATH 1 2Defm D ENTER 4 ENTER 7 nCr 4 Y 35 B
5. 5 Seconds 1 2 5 2 ENTER 171 ENTER 11 114 z Bl proc 4 D proc 14 lt 5 proc 79 ENTER S N 98 t proc Example 58 Create program to determine the solutions for linear equations of the form Program Type MAIN Line Program 111 0 2 5 3 D 4 I F 0 11 5 6 G O T O 2 7 L b I 1 8 9 L b l 2 10 A 2 C B H 11 IINIT 5 12 1 RUN 4X Y 30 2X 7Y 2 5 8 17 4 proc E 80 4 4 4 B proc ENTER 1 ENER 30 ENTER 151 ENTER 19 ENTER 117 PRoc ENTER X27 2 t Proc Example 59 E Create three subroutines to store the following formulas and then use the GOSUB PROG command to write a mainroutine to execute the subroutines Subroutine 1 CHARGE N x 3 Subroutine 2 POWER Subroutine 3 VOLTAGE Bx Q x A E 81 Program Type MAIN
6. MODE 2 7 d ENTER 931 t d 31 dhbo 81 DHBO h gt DH BO b 11111 gt DHBO o 37 4777 1001010101001 E 66 MODE 2 dhbo gt DEC HEX BIN gt 5 d h b ENTER J dhbo DEC HEX BIN OCT o b d h b ENTER 4777 ENTER d4777 t 1b 10101001 5 44777 t 2b 10010 S d4777 1 0 S d4777 t 4b 0 m What is the negative of 1 2 Ans FFFFFFC6 MODE 2 dhbo 1 DEC HEX BIN OCT o b d h b ENTER NEG 3 t 1 13 A NEG h3 A FFFFFFC6 W1234 IEF 245 23525 1258 10 E 67 2 dhbo DEC HEX BIN OCT o h h b ENTER 11 48 1 Y HEX BIN OCT o o d h b ENTER 11234 41234 4 i o dhbo Y JL Y 1L DEC HEX BIN OCT o d hb ENTER I JE IF 41234 f o dhbo Y gt DEC HEX BIN OCT o d h b ENTER 24 34 244 ef ENTER 41234 1 f o 2352 dhbo 1t 1L lt 1 19 00 o d 1258 53 E 68 81010 1010 10 io 2 dhbo gt gt ENTER dhbo 11 1 1 ENTER 1010 AND dhbo VI Y 1L ENTER A OR dhbo gt ENTER 17
7. 0 5 x A PRINT C END You can also place each command or group of commands on a separate line as follows In this case a trailing semicolon can be omitted Line 1 INPUTA 0 5 x A ENTER Line 2 PRINT C C END Executing a Program When you finish entering or editing a program press to return to the program menu select RUN and press ENTER Or you can press PROG in MAIN mode 2 Select the relevant program area and press ENTER to begin executing the program 3 reexecute the program press ENTER while the program s final result is on the display 4 abort the execution of a program press A message appears asking you to confirm that you want to stop the execution SIOP N Y Press to move the cursor to Y and then press ENTER E 29 Debugging a Program A program might generate an error message or unexpected results when it is executed This indicates that there is an error in the program that needs to be corrected e Error messages appear for approximately 5 seconds and then the cursor blinks at the location of the error e correct an error select EDIT from the program menu e You also can select TRACE from the program menu The program is then checked step by step and a message alerts you to any errors Using the Graph Function in Programs Using the graph function within programs enables you to graphically illustr
8. Example 32 1 155 08 125 2nd X ENTER 2 1 2 08 m 282 21 27 12 21 11411 141 21 LE 127 22 4 21 gt ENTER 12 m 29481 3 E 50 412 411 Y 181 ENTER 4 X 81 t 3 m 3075 2401 7 2nd 4 ENIER 7 4 1 2401 Example 33 m1 yd 9 ft 0 000000836 km gt 1 2nd CONV 2nd gt ft2 yd m2 CONV mil F 2 km m par ft2 d2 m2 EO mile km2 1 lt ft yd m mile 2 9 km 2 yd m mile km2 0 000000836 ray m Example 34 m3 x 200177955 1079 E 51 3 x 2nd CONST 35 0 1 2 n 3g 4me 5G 6mP 6 6725985 o t 10 x10 2 00177955 B W Apply the multi statement function to the following two statements E215 Ex 13 195 180 E 12 15 SAVE E ALPHA E x 13 ALPHA 14 1180 ALPHA E ENTER 1 ENTER ENTER Example 36 WGraph Y 152E t 15 m 13 180 f 195 4 13 180 f 12 m 13 4 180 f 195 4 E 52 Graph 2nd e raph Y e ef Example 37 1 Range X min 180 X max 180 X scl 90 Y max
9. 2nd ABCDEF 4 RCL GHI J KL m Example 6 W 1 Set PROG 1 cos sin 5B where A 0 B 0 813 1 11 gt 3A sin 5B 4 f sin 5 ALPHA 8 gt 5 SAVE PROG 1 5 gt PROG 1 et B ENTER cos 3A sin 1 m 3 2 Set A 20 B 18 get PROG 1 cos sin 5B 1 5 E 34 PROG 1 ENTER 204 7 20 B ENTER 18 18 4 t B ENTER cos 3A sin 1 Example 7 W 1 Expand the number of memories from 26 to 28 MATH MATH MATH OnPr 1inCr t 2Defm m ENTER 12 24 t m ENTER M 28 S 376 f m 4 2 Assign 66 to variable A 27 66 SAVE A ALPHA 1 1 27 ENIER 66 m E 35 5 3 Recall variable A 27 ALPHA A ALPHA 11111 271 1 66 m 6 4 Return memory variables to the default configuration MATH MATH MATH OnPr 1nCr t 2Defm ENTER 0 ENTER M 26 S 400 t Example 8 m7 10 x 8 2 47 7 1 1101 18 12 1 ENTER 7 10 8 2 47 9 m 3 5 8 4 1 5 EEN t 1 5 m 12369 7532 74103 6903680613000 E 36 12369 x 7532 74103 m 6 7 0 85
10. x 90 2n 1 Rad x gt 2n 1 Grad x 100 2n 1 n is an integer sin x cos x x 201 E 10 Hes x lt 1x10 Sinh x 230 2585092 mas x lt 1x10 sinh 7 x X 5e 197 cosh x 1 lt 5 10 tanh 7 x x 1 log x In x 1x10 lt 1 10 19 10 1 x 1019 lt x lt 100 e 1 1010 lt x 230 2585092 0 lt lt 1 10 0 x Ix lt 1x 10 x lt 1 101 x 0 X x 69 xisan integer y lt 1 x 10 190 0 0 lt 1 10 Deg lt 4 5 x 10 deg Rad 0 2 5 x 10 z rad Grad 0 lt 5 x 10 grad however for tan x Deg 90 2n 1 Rad 0 5 2n 1 Grad 6 100 2n 1 n is an integer DMS D M S lt 1 1079 5 lt 10190 y 0 x40 1 x 10 lt 1 logy lt 100 0 0 y 0 2 1 nis an integer 0550 but 1 x 10 1 lt log y 100 11 nPr nCr 0 lt 10 rare integers STAT x 1x10 lt 1x10 199 1 VAR n 30 2 VAR 30 FREQ n n 10 199 nis an integer in 1 VAR mode dy x b 0 Sx Sy n 20 1 BaseN DEC 2147483648 x 2147483647 BIN 1000000000000000000000000000000 0 x 1111111111111111111111111111111 1 for negative 0 lt lt 0111111111111111111111111111111 1 for zero positi
11. 1 250 PROG PROG E 25 Before Using the Program Area PROG TYPE MAIN 400 Program Type 7 BaseN PROS Number of remaining Program Area 0 123456789 NEW 285 Program Type M A I Fi Bd Number of Remaining Steps The program capacity is 400 steps The number of steps indicates the amount of storage space available for programs and it will decrease as programs are input The number of remaining steps will also decrease when steps are converted to memories See Array Variables above Program Type You must specify in each program the calculation mode that the calculator should enter when executing the program To perform binary or hexadecimal calculations or conversions choose BaseN otherwise choose MAIN Program Area There are 10 program areas for storing programs PO P9 If an area has a program stored in it its number is displayed as a subscript as in P1 Program Control Instructions The calculator s programming language is similar to many programming languages such as BASIC and C You can access most of the programming commands from the program control instructions You display these instructions by pressing 2nd INST OIF 1THEN 1 Lbi 2ELSE SFOR a Hp Pros OINPUT 1CLS OSLEEP 1END 280808 28WAP SPRINT B proc B pros Clear screen command as Clear the display on the screen In
12. 17 7 1 B sn E 58 2nd 5 gt Graph ENTER 2nd gt Graph ENTER n X Sx n Rx Xmax CVx Xmin 18 n Sx ox n Rx Xmax CVx Xmin 7 5 smrt nx Sx ox Rx Xmax STAT CVx Xmin 3 745585637 0 ON DIST 1HIST SERE Bos B sm Xx Cpkx T Cax Opx ppm 0 BD estat xx Cax Cpx 0 503655401 ppm ON DIST 1HIST 2906 BD estat Bo E 59 2nd STATVAR Graph ON DIST 1HIST ser Example 44 B Enter the data X4 2 X us 8 Y 3 Yur 29 X423 Yi A X 2 5 7 7 6 find X 5 Sx 2 0 Cay 0 111111111 1 2 VAR REG ENTER DATA Y 1 DATA INPUT LIMIT DISTR sm ENTER 12 w J8 13 5 1 Y USL 9 t 9 DATA INPUT LIMIT DISTR sx ENER t 17 170 Y 16 D sr E 60 2nd 11 gt n XC SU 5 Rx Xmax i 5 CVx Xmin EUM nx Sx n Rx Xmax i 2 CVx Xmin Bus xx Xx 1 0
13. 360 1 5 2nd DMS ENTER ENTER Example 27 m2 45 10 5 2 752916667 1 5 gt DMS t 1030101 m 2 2nd DMS ENTER 45 2nd DMS 1 ENTER 10 5 2nd DMS 1 11 5 o mrt 5 o n mote DMS ENTER ENTER 2948 10 8 1 2 752916667 10 Example 28 Wsin30 Deg 0 5 DRG DEG RAD GRD ENTER sin 30 ENTER sin 30 t 0 5 m 11 sin30 Rad 0 988031624 DRG DEG RAD GRD ENTER sin 30 ENTER sin 30 t 0 988031624 12 sin 70 5 33 33333333 Grad DRG gt DEG RAD GRD ENTER 2nd 22134 t 0 5 ENTER sin 0 5 33 33333333 Wcosh1 542 4 352409615 E 44 2nd cos 1 5 1 BER dug a ae 4 352409615 m 13 sinh 17 2 644120761 sinn 7 2 644120761 m Example 30 mif x 5 and y 30 what are and 0 Ans 30 41381265 0 80 53767779 9 2nd Ray gt B ENTER 5 ALPHA 9 130 1 ENTER 5 30 30 41381265 2nd Ray P Il gt ENTER 5 ALPHA 9 130 t are R gt PO 5 30 80 53767779 m 14 If r 25 and 0 56 wh
14. SPC Statistical Process Control Select the desired graph type and press ENTER If you do not set display ranges the graph will be produced with optimum ranges To draw a scatter graph based on 2 VAR datasets press Graph on the STATVAR menu To return to the STATVAR menu press 2nd STATVAR Press DATA select LIMIT from the menu and press ENTER Enter a lower spec limit value X 151 or Y LSL then press Enter a upper spec limit value X USL or Y USL then press ENTER Select DATA INPUT mode and enter the datasets Press 2nd STATVAR and press 1 lt gt to scroll through the statistical results until you find the process capability variable you are interested in see table below Variable Meaning CaxorCay Capability accuracy of the x values or y values E 22 Mise 3 dez Xu 2 Cay Xust Yus Cpy Potential capability precision of the x values or y values ers Xust Ce Yis 66 n 6 Cpkx or Cpky Minimum CPU CPL of x values or y values where CPU is the upper spec limit of capability precision and CPL is lower spec limit of capability precision p Min Ci 1 Min Cry Coy Ca ppm Parts per million Defection Per Million Opportunities Note When calculating process capability in 2 VAR mode the x and y values are independent
15. 1 25 Y scl 0 5 Graph Y sin 2 x 1 25 Y Range 180 1180 90 Y 911 25 115251 2nd Factor 2 ENTER Graph sin 2 ALPHA X ENTER Xmin 1804 mn 0 5 4 t D Xfact 24 D Yfact 24 t mn ph Y sin 2X 44 0 E 53 4 T 4 31 2 Zoom in and zoom out on Y sin 2x 2nd Zoom x 2nd Zoom x 2nd Zoom Org 2nd Zoom x 1 f 2nd Zoom x 1 f HEHE Example 38 E Superimpose the graph of Y X 2 over the graph of Y X 3 X 2 6 8 ENTER 1 Graph ALPHA X 2nd 3 ALPHA LX x 216 Yscl 5 lt t X 3x2 6x 8 et ALPHA 8 B ENTER B Graph C ALPHA X raph 2 e 12 B ENTER B Example 39 WSuperimpose the graph of Y cos X over the graph of Y sin Graph sin ENZER Graph cos ALPHA X ENTER Example 40 m Use Trace function to analyze the graph cos 5 Graph cos ENTER B Trace 338 8235294 o gt 1 275 2941176 B 2nd Y 0 092268359 n E Draw and scroll t
16. 160 Example 18 W3x3x3x3 81 ENTER 3 x 3 FNIFR 333 t 9 B x 3 t 27 B 81 Bl 8 Calculate 6 after calculating 3 x 4 12 3 x 4 E5NIER 3 4 t 12 mn 16 Ans 6 t 2 D Example 19 123 456 579 789 579 210 123 456 ENTER 123 456 t 579 E 40 789 2nd 789 Ans t 210 Example 20 7 109100 3 945910149 eg 100 In 7 log 1 3 945910149 m 9 10 100 2nd 10 2 ENTER 10 2 y 100 D 10 e gt 0 006737947 2nd 5 1 0 006737947 m 2 5 5 8 275114272277 7 A 12 A Bros oH A 15 A it corr GRE 2218121 4 A 2 A ENTER 2nd ENTER 2nd A y 1 45 45 41214 t Ans A 4 gt 4 1 Ans gt 96 t 4012 4 5 111 2 12 2nd Fay D EIER 41142 Fop 1 4 5 m 4 E 85 3 75 12 55 14 5 81415 3 75 1 3 75 ENTER 12 55 2 rad 360 deg DRG DEG RAD GRD E 42 2 2nd 7 2nd DMS gt 1 1 gt 1 5 1 30 O DMS orn DMS p t 2
17. Memories bytes Number of memories Number of bytes 26 400 27 388 28 376 38 256 45 172 59 4 Note To restore the default memory configuration 26 memories specify Defm 0 Expanded memories are named 1 2 etc and can be used in the same way as standard memory variables See Example 7 Note When using array variables be careful to avoid overlap of memories The relation between memories is as follows A B c D E F x 2 1 2 ALO A 1 A 2 3 AL4 A 5 ow n o gd 8101 B 2 B 3 B 4 1 1 LU C 2 C 0 6111 CI2 1 Y 24 Y 23 Y 22 Y 21 20 19 ow oon Z 25 Z 24 Z 23 Z 22 Z 21 Z 20 Order of Operations Each calculation is performed in the 23 AL24 A 25 A 26 A 27 o n o n n 81221 B 23 B 24 B 25 Bi 26 I C 21 C 22 C 23 C 24 C 25 D oM 11 YEO 111 2 u D oH 21 21 ZL 1 2101 2111 2121 following order of precedence Functions inside parentheses coordinate transformations and Type B functions that is those where you must press the function key before entering the argument for example sin cos tan sin cos tan sinh cosh tanh sinh cosh tanh NOT Y MAX MIN S 2 pressing the functi
18. This is consistent with A lt 4 so the statements are executed and A is again incremented by 1 And so on 3 When A 5 it is no longer true that lt 4 so statements are not executed The program then moves on to the next block of code Sleep command SLEEP time A SLEEP command suspends program execution for a specified time up to a maximum of 105 seconds This is useful for displaying intermediate results before resuming execution Swap command SWAP memory variable A memory variable B E 28 The SWAP command swaps the contents in two memory variables Relational Operators The relational operators that can be used in FOR loops and conditional branching are equal to lt less than gt greater than not equal to lt less than or equal to 2 greater than or equal to Creating a New Program Select NEW from the program menu and press ENTER Select the calculation mode you want the program to run in and press ENER 3 Select one of the ten program areas 0123456789 and press ENTER 4 Enter your program s commands You can enter the calculator s regular functions as commands To enter a program control instruction press 2nd INST and make your selection To enter a space press ALPHA SPC 5 semicolon indicates the end of a command To enter more than one command on a command line separate them with a semicolon For example Line 1 INPUTA
19. aex INV nverse Regression y at b QUAD Quadratic Regression See Example 47 48 1 Select a regression option on the REG menu and press ENTER 2 Press DATA select DATA INPUT from the menu and press ENTER 3 Enter an x value and press 4 Enter the corresponding y value and press 5 To enter more data repeat from step 3 6 Press 2nd STATVAR 7 Press to scroll through the results until you find the regression variables you are interested in see table below 8 To predict a value for x or y given a value for y or x select the or y variable press ENTER enter the given value and press ENTER again Variable Meaning a Y intercept of the regression equation b Slope of the regression equation r Correlation coefficient c Quadratic regression coefficient x Predicted x value given a b and y values Predicted y value given a b and x values 9 To draw the regression graph press Graph on the STATVAR menu To return to the STATVAR menu press 2nd STATVAR Chapter 7 BaseN Calculations E 24 You can enter numbers in base 2 base 8 base 10 or base 16 To set the number base press 2nd dhbo select an option from the menu and press ENTER An indicator shows the base you selected d h b o The default setting is d decimal base See Example 49 The allowable digits in each base are B
20. change modes Memory Running memory Press M to add a result to running memory Press 2nd M to subtract the value from running memory To recall the value in running memory press MRC To clear running memory press MRC twice See Example 4 Standard memory variables The calculator has 26 standard memory variables A C D Z which you can use to assign a value to See Example 5 Operations with variables include e SAVE Variable assigns the current answer to the specified variable B C or Z e 2nd RCL displays a menu of variables select a variable to recall its value e Variable recalls the value assigned to the specified variable e 2nd CLVAR clears all variables You can assign the same value to more than one variable in one step For example to assign 98 to variables A B C and D press 98 SAVE A LAIPHA ALPHA 0 Storing an equation Press SAVE PROG to store the current equation in memory Press PROG to recall the equation See Example 6 Array Variables In addition to the 26 standard memory variables see above you can increase memory storage by converting program steps to memory variables You can convert 12 program steps to one memory A maximum of 33 E 8 memories can be added in this way giving you a maximum of 59 memories 26 33 M 27 5 388 Number of Current number of remaining
21. permittivity 8 854187818 x 10 7F m Ho Magnetic permittivity 1 256637061 x 10 quantum 2 067834616 10 15 Wb Bohr radius 5 291772492 x 10 uB Bohr magneton 9 274015431 x 10 J T uN Nuclear magneton 5 050786617 x 10 7J T All physical constants in this manual are based on the 1986 CODATA recommended values of the fundamental physical constants To insert a constant E 18 Position your cursor where you want the constant inserted Press 2nd CONST to display the physics constants menu Scroll through the menu until the constant you want is underlined Press ENTER See Example 34 Multi statement functions Multi statement functions are formed by connecting a number of individual statements for sequential execution You can use multi statements in manual calculations and in the program calculations When execution reaches the end of a statement that is followed by the display result command symbol 44 execution stops and the result up to that point appears on the display You can resume execution by pressing ENTER See Example 35 Chapter 5 Graphs Built in Function Graphs You can produce graphs of the following functions sin cos tan sin 7 cos 7 P grap 9 tan 7 sinh cosh tanh sinh 7 cosh tanh 7 log In 10 E EI When you generate built in graph any previously generated graph is cleared The display range is automatically set to th
22. 0 x The calculator also provides reciprocal x square root v cube root 1971 square x universal root 1 cubic x and exponentiation functions See Example 32 Unit Conversion You can convert numbers from metric to imperial units and vice versa See Example 33 The procedure is E 17 Enter the number you want to convert 2 Press 2nd CONV to display the units menu There are 7 menus covering distance area temperature capacity weight energy and pressure 3 Pres or to scroll through the list of units until the appropriate units menu is shown then press ENTER 4 Press lt or to convert the number to the highlighted unit Physics Constants You can use the following physics constants in your calculations Symbol Meaning Value c Speed of light 299792458 m s g Acceleration of gravity 9 80665 m s G Gravitational constant 6 6725985 x 10 5 Vm Molar volume of ideal gas 0 0224141 Avogadro s number 6 022136736 x 102 mol e Elementary charge 1 602177335 x 10 me Electron mass 9 109389754 x 10 kg mP Proton mass 1 67262311 10 7 kg h Planck s constant 6 62607554 x 103415 k Boltzmann s constant 1 38065812 x 10 2 7 IR Gas constant 8 3145107 J mol k IF Faraday constant 96485 30929 C mol mn Neutron constant 1 67492861 10 7 kg u Atomic mass constant 1 66054021 x 10 7 kg o Dielectric
23. 1 DEC HEX BIN OCT o d d h b PROG ENTER INPUT Y EDIT 112 BIN PROG ENTER PROG dhbo Y DEC BIN OCT o b d h b PROG ENTIER 11011 011011 4 PROG ENTER ANS 1010 T PROG Example 63 E Create a program to evaluate the following and insert a display result command 4 to check the content of a memory variable B log A 90 C213 x A 0 51 A x B E 86 Program Type MAIN Line Program 111 10111 2 A 9 0 1 3 4 4 D 2 5 1 CJA 5 PIR 51091 6 RUN 10 gt 130 2 55 10 ENTER 2nd gt gc ENTER A lt proc 10 4 B proc 1 0 13 4 H PROG proc 4 ABCDEF n GHI 130 Ro 02 55 proc 87
24. 2 1 21 4 proc Example 56 E Create a program to generate common difference sequence item D common difference N number Sum 5 0 20 4 30 _ N 2A 1 D 2 Nth A N A N 1 D E75 A First Program Type MAIN Line Program 1 INIT 2118 7 Ist 151 2 Pls 0 JN E H EJN C JG O T O 1 5 1 72 5 5 5 6 2 7 L b I 11 1 9 P R I N T 1 1 11517131 1 10151911 2 m When the message 1 A N 2 S N appears on the display you can input a P value to specify the type of operation to be performed 1 for A N 2 for S N 32 A23 D22 N24 gt A NJ A 4 9 ENTER 5 Seconds 1 2 8 B proc P lt B proc ENTER 13 ENTER 2 ENTER 14 Bl proc 9 t B proc E 76 2 3 2 12 gt 5 5 12 168 ENTER 5 Seconds 1 A N 2 S DB proc 4 B 2 ENTER 3 ENTER 2 ENTER 12 N 12 lt proc ENTER 8 168 5 proc Example 57 E Create a program to generate a common ratio
25. 7 142857 12369 7532 1 12 6 903680613 m 6 1 7 ENIER 204118 11 11 1 2nd FIX 4 2nd HX 1 81 6000 0 0001666 6 7 t 0 857142857 m F0123456789 m 6 7 f 0 86 B FIX 6 7 t 0 8571 LD FIX 6 7 t 0 857142857 m 1 6000 ENTER 1 6000 1 0 000166667 m 2nd SCI ENG gt FLO SCI ENG m ENTER El 1 6000 t 107 04 1 666666667 D 2rd SCIZENG X FLO SCI ENG m scl ed 1 6000 t xto 06 166 6666667 n ENG 2nd SCI ENG L 1 FLO SCI ENG m ENG SESMA 1 6000 t 0 000166667 m 0 0015 1 5 107 1 5 EXP 3 3 ENTER 1 573 0 0015 20 byte 0 15 K byte 2 000000015 10 byte 20 284 5 11 1 4M 26 gt 3T 4P 5 ENTER 0 15 2nd OK 1M 2G ENG SYM 3T 4 5E ENTER 20G 0 15K bi 10 2 000000015 m 5 2 15 3 6 100151 121 1151 1 5 4 x 3 5 2 1 5 2 7 6 5 4 122 21 11 1714161 1015 1 4 2 7 6 5 4 122 17 120 x 30 36 120 x 30 2nd 6 ENIER 120 30 36 7 88 55 160 E 39 88 55 1 t ENTER 28411951 88 55
26. ENTER dhbo 11 Example 54 Create a program to perform arithmetic calculation with complex numbers Z A Bi DEC BI OCT o d d h b DEC HEX BIN OCT o b d hb 1010 AND 4 ef b DEC HEX BIN OCT o o d h b DEC HEX BIN OCT o b d h b 51010 AND 15 1 0 01 Sum Zi 2 C4 D i Difference Zi Z 2 C D Ji 2 x 2 Fi AC BD BC Ji E 69 Quotient Z Z Fi AC BD BC AD Cup cup Program Type MAIN Line Program 01 2 8 5 3 PIR IIN T 2x 3 4 4 4 01 5111 1012 141 T O 0151 611 0 7 4113 cloltlol 3 8 2 2 1553 10 02 n 2 02 fy 12 4 13 L b I 11 141 alc 5 15 4 16 L b I 2 17 El 6 0 14 18111511 19 1 11 14 20111011 2110 1 22111 1 1 E
27. Other Functions x x Unit Conversion 4 944 17 Physics Constants 18 Multi statement functions 19 Chapter 5 19 Built in Function Graphs eee 19 User generated 19 Graph lt gt Text Display and Clearing a Graph 20 pA MID OA 20 Superimposing Graphs 20 Trace Function eese entente 20 Scrolling Graphs eere 21 Plot and Line 21 Chapter 6 Statistical Calculations 21 Single Variable and Two Variable Statistics 21 Process Capability 22 Correcting Statistical Data 23 Probability Distribution 1 Var Data Regression Calculation Chapter 7 BaseN Calculations Negative Expressions eere eee eere tenentes Basic Arithmetic Operations for Bases Logical Operation Chapter 8 Programming eren Before Using the Program Area Program Control Instructions Clear screen command Input and output commands Conditional branching Jump commands Mainroutine and Subroutine Increment and decrement Sleep command Swap command Relational Operators eene Creating a New Program Executing a Program Debugging a Program Usin
28. PWR e INV QUAD B sar ENTER DATA INPUT LIMIT DISTR MEE ENTER 15 Y 14511 1 171 1451 1211 1 74 678 lt 4 525 28 678 LIN D E 63 2 STATVAR Graph 2nd STATVAR 11 gt 11 ENTER 573 ENTER 22 56700734 m STAT 2nd gt 1 gt s LIN ENTER 19 ENTER 19 510 2658228 Example 48 E Given the following data use quadratic regression to estimate y 2 for x 58 and x for y 2143 X 57 61 67 101 117 155 MODE T YE 1 VAR 2 VAR REG D CL BD E 64 ENTER ENTER ENTER 211877 1155 57 11011 Y 117 167 2nd STATVAR Graph 2 nd STATVAR gt 1 gt ENTER 11431 ENTER 2nd STATVAR gt 1 11 1 1 LIN LOG PWR e INV QUAD ri DATA INPUT LIMIT DISER Y3 1554 H SUND _ 7 b y x2 QUAD 65 36790453 X4 X2 QUAD 35 48923833 STAT a b y SUD E 65 ENTER ENTER 58 p 58 104 3 BD Example 49 m31 16 211111 2 37
29. Program 1 3 141 1 31 14 11 1 31 131 1 9 2 Y 2 2 X E N D RUN ENTER 83 G 4 T Bl proc Example 61 WUsea FOR loop to calculate 1 6 1 5 21 4 2 6 2 5 22 4 2 Program Type MAIN Line Program 11615181 2 121 a D 3 Flol R 161 1 2141 18 4 Cle 313 5 RUN ENTER 1 6 7 proc 1 5 6 Bl proc 1 4 5 proc 2 6 8 Bl Proc 2 5 7 0 Proc E 84 2 4 6 Bl proc Example 62 WSet the program type to BaseN and evaluate ANS 1010 AND OR7 1 Program Type BaseN DEC Line Program 1 N P U T 2 010 171 5 4 1 IF Y A 16 Ans 10 0 ENTER 4 PROG Y IL Y 1L DEC HEX BIN OCT o d b PROG ENTER eA 4 PROG ENTER 5 10 4 PROG 2 2110115 Ans 1010 EDIT E 85 ENTER INPUT Y 4 EDIT 112 PROG ENTER 1148011 11
30. at are x and y Ans x 13 97982259 20 72593931 E 45 2nd Rey P Y ENTER 25 ALPHA 56 ENTER 2nd Rey ll Y ENTER 25 ALPHA 56 ENTER 9 9 gt 25 56 15 13 97982259 gt gt 0 25 56 15 20 72593931 m m5 120 5 MATH 0 1RAND 2RANDI 3RND 51 1 120 10 15 Generate random number between 0 1 MATH gt 0 1RAND 2RANDI 3RND RAND T 0 103988648 m E 46 16 Generate a random integer between 7 and 9 MATH ENTER 17 11 9 1 91 ENTER 0 1RAND 2RANDI 3RND RANDI 7 9 8 m 17 RND sin 45 Deg 0 71 FIX 2 0 1 2 3RND ENTER sin 45 2nd 11 ENTER ENTER F0123456789 RND sin 45 0 71 B FIX 18 MAX sin 30 Deg sin 90 Deg 05 1 1 MATH MATH sin 30 gt ALPHA 9 sin 90 ENTER OMAX 1 MIN 1 2SUM 3AVG m MAX sin 30 19 sin 30 Deg 90 Deg MIN 0 5 1 0 5 E 47
31. ate long or complex equations and to overwrite graphs repeatedly graph commands except trace and zoom can be included in programs Range values can also be specified in the program Note that values in some graph commands must be separated by commas gt as follows e Range Xmin Xmax Xscl Ymax Factor Xfact e Plot X point Y point Display Result Command You can put 44 in a program if you want to be able to see the value of a variable at that particular stage in program execution For example Line 1 INPUTA In A 100 2 C 13 x A 4 at this point 3 51 A x B Line 4 PRINT D D END 1 Execution is interrupted at the point where you placed 4 2 At this time you can press 2nd RCL to view the value of the corresponding memory variable C in the above example 3 To resume program execution press ENTER Deleting a Program 1 Select DEL from the program menu and press ENTER 2 To erase a single program select ONE the program area you want to erase and then press ENTER E 30 3 To erase all the programs select ALL 4 A message appears asking you to confirm that you want to delete the program s DELETE N Y 314 B 4 NY 178 B reos Press to move the cursor to Y and then press ENTER 5 To exit DEL mode select EXIT from the program menu Prog
32. coordinates or vice versa See Example 30 Note Before undertaking a coordinate transformation make sure that the appropriate angular unit is set Mathematical Functions E 16 Press MATH repeatedly to is display a list of mathematical functions and their associated arguments See Example 31 The functions available are RAND RANDI RND MIN SUM AVG Frac INT SGN ABS nPr nCr Defm Calculate the factorial of a specified positive integer n where 69 Generate a random number between and 1 Generate a random integer between two specified integers A and B where X random value B Round off the result Determine the maximum of given numbers Up to 10 numbers can be specified Determine the minimum of given numbers Up to 10 numbers can be specified Determine the sum of given numbers Up to 10 numbers can be specified Determine the average of given numbers Up to 10 numbers can be specified Determine the fractional part of a given number Determine the integer part of a given number ndicate the sign of a given number if the number is negative is displayed if zero 0 is displayed if positive 1 is displayed Display the absolute value of a given number Calculate the number of possible permutations of n items taken r at a time Calculate the number of possible combinations of n items taken r at a time Memory expansion Other Functions 7
33. e optimum See Example 36 User generated Graphs You can also specify your own single variable functions to graph for example y x 3x 8 Unlike built in functions see above you must set the display range when creating a user generated graph Press the Range key to access the range parameters for each axis minimum value maximum value and scale that is the distance between the tick marks along an axis E 19 After setting the range press Graph and enter the expression to be graphed See Example 37 Graph Text Display and Clearing a Graph Press to switch between graph display and text display and vice versa o clear the graph please press 2nd CLS Graph display mode Text display mode G gt T a GeoT Graph display mode 2nd 1 CLS Zoom Function The zoom function lets you enlarge or reduce the graph Press 2nd Zoom x f to specify the factor for enlarging the graph or press 2nd Zoom x 1 f to specify the factor for reducing the graph To return the graph to its original size press 2nd Zoom Org See Example 37 Superimposing Graphs graph can be superimposed over or more graphs This makes it easy to determine intersection points and solutions that satisfy all the corresponding expressions See Example 38 e sure to input variable X in the expression for the g
34. g the Graph Function 5 30 Display Result Command Deleting a Program Program Examples E 3 Chapter 1 General Operations Power Supply Turning on or off To turn the calculator on press ON To turn the calculator off press 2nd OFF Battery replacement The calculator is powered by two alkaline button batteries GP76A or LR44 When battery power becomes low LOW BATTERY appears on the display Replace the batteries as soon as possible To replace the batteries 1 Remove the battery compartment cover by sliding it in the direction of the arrow 2 Remove the old batteries 3 Install new batteries each with positive polarity facing outward 4 Replace the battery compartment cover 5 Press to turn the power on Auto power off function The calculator automatically turns off if it has not been used for 9 15 minutes can be reactivated by pressing ON The display memory and settings are retained while the calculator is off Reset operation If the calculator is on but you get unexpected results press MODE or If problems persist press 2nd RESET A message appears asking you to confirm that you want to reset the calculator RESET Y Press gt to move the cursor to Y and then press ENTER calculator is reset All variables programs pending operations statistical data ans
35. gative Invalid action The next action will be a 2nd function The and y coordinates of the trace function pointer Alphabetic keys are active Statistics mode is active Program mode is active Angle mode Degrees Rads or Grads E 5 SCIENG SClentific or ENGineering display format FIX Number of decimal places displayed is fixed HYP Hyperbolic trig function will be calculated 4 The displayed value is an intermediate result There are digits to the left or right of the display V There are earlier or later results that can be displayed These indicators blink while an operation or program is executing Chapter 2 Before Starting a Calculation Changing Modes Press MODE to display the modes menu You can choose one of four modes 0 MAIN 1 STAT 2 BaseN 3 PROG For example to select BaseN mode Method 1 Press MODE and then press lt or MODE until 2 BaseN is underlined then press ENTER Method 2 Press MODE and enter the number of the mode 2 Selecting an Item from a Menu Many functions and settings are available from menus A menu is a list of options displayed on the screen For example pressing MATH displays a menu of mathematical functions To select one of these functions 1 Press MATH to display the menu 2 Pres lt gt to move the cursor to the function you want to select 3 Press ENTER while the item is underlined With nu
36. he graph for Y cos x Graph cos ENTER lt 11 lt 11 lt 114 lt 1 v Example 42 points at 5 5 5 10 15 15 and 18 15 and then use the Line function to connect the points Range O Y 135 15 10 123 15 ENTER 2nd PLOT 5 1 9 15 ENTER 2nd 4 2nd X Y 2nd PLOT 5 ALPHA 9 10 ENTER 2nd ENTER 2nd PLOT 15 ALPHA 9 15 ENTER 2nd LINE ENTER PLOT 18 ALPHA 9 115 gt 1 1 1 11 2nd NE ENTER 54 1 n 5 5 4 D Ys 5 147058824 5 227272727 HB Xs 5 147058824 4 m 4 2 25 73529412 dps cal E 57 43 E Enter the data X4 2 13 X1 8 FREQ 2 X52 5 FREQ 9 12 FREQ 7 then find X 7 5 Sx 3 745585637 0 and 0 503655401 MODE 1 1 VAR 2 REG Deck DATA INPUT LIMIT DS sn ENTER 2012 XLSL 2 H 13 ENTER m Y dp X USL 13 1 13 sr DATA DATA INPUT LIMIT DISTR B sm ENTER 21418 X1 3 4 H B 12 2 4 t 151 191 112 5 t
37. hp 99 Graphing Calculator Contents Chapter 1 General Operations Power Supply Turning on or off Battery replacement Auto power off function A ARARA Reset operation A Contrast Adjustment Display Features Graph display Calculation display Chapter 2 Before Starting a Calculation Changing Modes Selecting an Item from a Menu eere 6 Key Labels Using the 2nd and ALPHA keys j 7 Inserting and Deleting Characters Recalling Previous Inputs and Results Running memory Standard memory variables Storing an equation Array Variables Order of Operations 9 Accuracy and Capacity Error Conditions Chapter 3 Basic Calculations Arithmetic Calculation eerte Display Parentheses Calculations Percentage Calculations Repeat Calculations eere Answer Chapter 4 Common Math Calculations 15 Logarithm and Antilogarithm 15 Fraction Calculation 15 Converting Angular Units eere 15 Trigonometric and Inverse Trigonometric functions 16 Hyperbolic and Inverse Hyperbolic functions Coordinate Transformations Mathematical Functions
38. inary base b 0 1 Octal base 0 1 2 3 4 5 6 7 Decimal base 9 0 1 2 3 4 5 6 7 8 9 Hexadecimal h 0 1 2 3 4 5 6 7 8 9 IA IB IC ID IE IF Note To enter a number in a base other than the set base append the corresponding designator d h b o to the number as in h3 Press lt to use the block function which displays a result in octal or binary base if it exceeds 8 digits Up to 4 blocks can be displayed See Example 50 Negative Expressions In binary octal and hexadecimal bases negative numbers are expressed as complements The complement is the result of subtracting that number from 10000000000 in that number s base You do this by pressing NEG non decimal base See Example 51 Basic Arithmetic Operations for Bases You can add subtract multiply and divide binary octal and hexadecimal numbers See Example 52 Logical Operation The following logical operations are available logical products AND negative logical NAND logical sums exclusive logical sums negation NOT and negation of exclusive logical sums XNOR See Example 53 Chapter 8 Programming The options on the program menu NEW for creating a new program RUN for executing a program EDIT for editing a program DEL for deleting a program TRACE for tracing a program and EXIT for exiting program mode ONEW 1RUN 2bDIT 250 3DEL 4TRACE 5
39. input of alphabetic function keys To cancel this press ALPHA again Cursor Press lt or to move the cursor to the left or the right Hold down cursor key to move the cursor quickly If there are entries or results not visible on the display press A to scroll the display up or down You can reuse or edit a previous entry when it is on the entry line Press ALPHA I4 or ALPHA to move the cursor to the beginning or the end of the entry line Press ALPHA or ALPHA to move the cursor to the top or bottom of all entries The blinking cursor 4 indicates that the calculator is in insert mode Inserting and Deleting Characters To insert a character move the cursor to the appropriate position and enter the character The character is inserted to the immediate left of the cursor E7 To delete a character press or gt to move the cursor to that character and then press DEL When the cursor is on a character the character is underlined To undo the deletion immediately press 2nd DAO To clear all characters press lt See Example 1 Recalling Previous Inputs and Results Press A or V to display up to 252 characters of previous input values and commands which can be modified and re executed See Example 2 Note Previous input is not cleared when you press or the power is turned off but it is cleared when you
40. j 23111 1 al 24 RUN When the message 1 2 3 x A appears on the display you can input a value O that corresponds to the type of operation you want to performed as follows lforZ Z gt 3forZ x Z5 2102 2 41072 Z n 21 1 17 51 o i21 C Di 3 14i 2 2 14 191 E 70 ENTER 1 5 Seconds ENTER 1 ENTER 17 14 ENTER CHOOSE THE 5 ENTER 3 ENTER Bl Proc 124 23e Bl proc 0 14 proc D 14 lt proc 14 19 proc 0 2 10 131 25 01 6 171 21 22 4 41 ENTER 1 5 Seconds ENTER 12 CHOOSE THE proc 25 proc proc E71 ENTER 10 ENTER 17 4 13 ENTER 161 ENTER 17 B D proc 4 41 1 proc 21 2 5 _ xZ 107 21i 8122 2 2102 ENTER 5 Seconds CHOOSE THE Bl proc tit 2 3 Bl 4 ENTER 3 OSSA proc 4 ENTER 2 ENTER 0 174 5 ENIER 111 17 Bl Proc usn 107 211 proc 21 A Bi 6 5i 21 1 2008 1561 Z E 72 5 Seconds CHOOSE THE B iK gt Bl proc 4
41. mbered menu items you can either press ENTER while the item is underlined or just enter the number of the item To close a menu and return to the previous display press esc Key Labels Many of the keys can perform more than one function The labels associated with a key indicate the available functions and the color of a label indicates how that function is selected E 6 Label color Meaning White Just press the key Yellow Press 2nd and then the key Green In Base N mode just press the key Blue Press ALPHA and then the key Using the 2nd and ALPHA keys To execute a function with a yellow label press 2nd and then the corresponding key When you press 2nd the 2nd indicator appears to indicate that you will be selecting the second function of the next key you press If you press 2nd by mistake press 2nd again to remove the 2nd indicator Pressing ALPHA 2nd locks the calculator in 2nd function mode This allows consecutive input of 2nd function keys To cancel this press 2nd again To execute a function with a blue label press ALPHA and then the corresponding key When you press ALPHA the indicator appears to indicate that you will be selecting the alphabetic function of the next key you press If you press ALPHA by mistake press ALPHA again to remove the indicator Pressing 2nd ALPHA locks the calculator in alphabetic mode This allows consecutive
42. n a program from an area without an equation or program MEMORY Er 1 Memory expansion exceeds the steps remaining in the program 2 Attempt to use a memory when no memory has been expanded DUPLICATE The label name is already in use LABEL Press to clear an error message Chapter 3 Basic Calculations Arithmetic Calculation e For mixed arithmetic operations multiplication and division have priority over addition and subtraction See Example 8 e For negative values press before entering the value See Example 9 e Results greater than 1019 or less than 10 are displayed in exponential form See Example 10 Display Format E 13 e decimal format is selected by pressing 2nd and selecting a value from the menu 0123456789 To set the displayed decimal places to n enter a value for n directly or press the cursor keys until the value is underlined and then press ENTER The default setting is loating point notation F and its n value is See Example 11 e Number display formats are selected by pressing 2nd SCI ENG and choosing a format from the menu The items on the menu are for floating point SCI for scientific and ENG for engineering Press lt or gt until the desired format is underlined and then press ENTER See Example 12 e You can enter a number in mantissa and exponent format using the EXP key See Example 13 e This calculato
43. n calculate common and natural logarithms and antilogarithms using log In 2nd 10 and 2nd e See Example 20 Fraction Calculation Fractions are displayed as follows 5 5 512 42 5 56 U 5 12 5615 e To enter a mixed number enter the integer part press b c enter the numerator press A b c and enter the denominator To enter an improper fraction enter the numerator press A b c and enter the denominator See Example 21 e During a calculation involving fractions a fraction is reduced to its lowest terms where possible This occurs when you press 1 or ENER Pressing 2nd converts mixed number to an improper fraction and vice versa See Example 22 e convert a decimal to a fraction or vice versa press 2nd 240 and ENTER See Example 23 e Calculations containing both fractions and decimals are calculated in decimal format See Example 24 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 anglular units is 180 radians 200 grads E 15 To change the angular unit setting to another setting press DRG repeatedly until the angular unit you want is indicated on the display The con
44. of each other Correcting Statistical Data See Example 45 1 2 3 4 5 Press DATA To change the data select DATA INPUT To change the upper or lower spec limit select LIMIT To change a select DISTR Press W to scroll through the data until the entry you want to change is displayed Enter the new data The new data you enter overwrites the old entry Press W or ENTER to save the change Note The statistical data you enter is retained when you exit statistics mode To clear the data select D CL mode Probability Distribution 1 Var Data See Example 46 1 2 3 4 Press DATA select DISTR and press ENTER Enter a a value then press ENTER Press 2nd STATVAR Press lt or to scroll through the statistical results until you find the probability distribution variables you want see table below Variable Meaning t Test value t Bac P t The cumulative fraction of the standard normal distribution that is less than t E 23 R t The cumulative fraction of the standard normal distribution that lies between t and O R t 1 t The cumulative fraction of the standard normal distribution that is greater than t Q t 0 5 t Regression Calculation There are six regression options on the REG menu LIN inear Regression y a bx LOG ogarithmic Regression y a b lnx e Exponential Regression y a e PWR Power Regression y
45. on key for ex ENGSYM 3 Exponentiation A 4 Fractions log In 10 NEG UM SGN AVG ABS INT Frac Plot Type A functions that is those where you enter the argument before 2 3 1 9 ample x x xl g 96 7 E 9 8 9 10 11 12 13 14 Abbreviated multiplication format involving variables z RAND RANDI Abbreviated multiplication format in front of B functions 243 Alog2 etc nPr nCr ds Relational operators lt gt 2 lt gt AND NAND BaseN calculations only OR XOR XNOR BaseN calculations only Conversion A 4 FD gt DMS When functions with the same priority are used in series execution is performed from right to left For example 1120 e In 120 Otherwise execution is from left to right Compound functions are executed from right to left Accuracy and Capacity Output digits Up to 10 digits Calculating digits Up to 24 digits Where possible every calculation is displayed in up to 10 digits or as a 10 digit mantissa together with a 2 digit exponent up to 10 57 The arguments you input must be within the range of the associated function The following table sets out the allowable input ranges Functions Allowable Input range sin x Cos X Deg lt 4 5 x 10 deg ink Rad x lt 25 10 Grad x lt 5 x 10 grad however for tan x Deg
46. outine enter PROG n where n is the number of the destination program area Note The GOTO n command does not allow jumps between program areas A GOTO n command only jumps to the corresponding label Lbl within the same program area End E 27 Each program needs an END command to mark the end of the program This is displayed automatically when you create a new program Increment and decrement Post fixed Memory variable Memory variable Pre fixed variable Memory variable memory variable is decreased or increased by one For standard memory variables the Increment and Decrement operators can be either post fixed or prefixed For array variables the operators must be pre fixed With prefixed operators the memory variable is computed before the expression is evaluated with postfixed operators the memory variable is computed after the expression is evaluated For loop FOR start condition continue condition re evaluation statements A FOR loop is useful for repeating a set of similar actions while a specified counter is between certain values For example FOR A 1 A lt 4 A C 3 x A PRINT ANS C END Result ANS 3 ANS 6 ANS 9 ANS 12 The processing in this example is 1 FORA I This initializes the value of A to 1 Since A 1 is consistent with A lt 4 the statements are executed and A is incremented by 1 2 Now A 2
47. put and output commands E 26 INPUT memory variable Makes the program pause for data input memory variable 4 appears on the display Enter a value and press ENTER The value is assigned to the specified variable and the program resumes execution To input more than one memory variable separate them with a semicolon PRINT text memory variable Print the text specified inside the double quotation marks and the value of the specified memory variable Conditional branching IF condition THEN statement gt IF the condition is true THEN statement is executed IF condition THEN statement ELSE statement IF the condition is true the specified THEN statement is executed otherwise the ELSE statement is executed Jump commands 1 An n command marks a destination point for a GOTO n jump command Each label name must be unique that is not repeated the same program area The label suffix n must be an integer from O to 9 When program execution encounters a GOTO n statement execution jumps to n where n is the same value as the n in the GOTO n statement Mainroutine and Subroutine GOSUB PROG You can jump between program areas so that the resulting execution is made up of code from different program areas The program from which other program areas are jumped to is the mainroutine and an area jumped to is a subroutine To cause a jump to a subr
48. r also provides 11 symbols for input of values using engineering notation Press 2nd ENG SYM to display the symbols See Example 14 The symbols are listed below milli micro nano pico femto 10 3 21075 n 2107 p 1077 f 5105 kilo mega giga tera peta exa 103 M 10 10 T 210 105 E 10 Parentheses Calculations Operations inside parentheses are always executed first Up to 13 levels of consecutive parentheses are allowed in a single calculation See Example 15 e Closing parentheses that would ordinarily be entered immediately prior to pressing ENTER may be omitted See Example 16 Percentage Calculations 2nd divides the number in the display by 100 You can use this function to calculate percentages mark ups discounts and percentage ratios See Example 17 Repeat Calculations You can repeat the last operation you executed by pressing ENTER Even if a calculation concluded with the ENTER key the result obtained can be used in a further calculation See Example 18 Answer Function E 14 When you enter a numeric value or numeric expression and press ENTER the result is stored in the Answer function which you can then quickly recall See Example 19 Note The result is retained even if the power is turned off It is also retained if a subsequent calculation results in an error Chapter 4 Common Math Calculations Logarithm and Antilogarithm You ca
49. ram Examples See Examples 54 to 63 Change 123 x 45 to 123 x 475 123 45 ENTER gt 11 1106 2nd v 11 17 After executing 1 2 3 4 5 11412 13 4 ENTER 15 6 ENTER 123 45 T 5535 m 12 45 t 123 45 t 10 123 475 1 58425 m 6 recall each expression 5 6 t 11 m E 31 546 t m 3 4 H m 1 2 4 WEnter 14 2 3 and then correct it to 14 10 x 2 3 1413101 12 3 piyipEg BY after 5 Seconds 14 042 3 1 m lt 11 ENER 14110 2 3 3 22 m 3 5 56 7 74 8 7 1 5 3 x 5 M 35 1 E 32 56 17 5617 M 8 D ENTER M t M 23 m 74 18 x 7 2nd M 174 8 7 T M 18 m ENTER M t M 5 D MRC MRC c 4 m m 1 Assign 30 into variable A 2nd 30 SAVE 1 309A t A 30 m O 2 Multiply variable A by 5 and assign the result to variable B 5 x 2nd RCL ABCDEF GHI 30 JKL ENTER ENTER 5x30 1 150 m E 33 SAVE B ENIER t 150 m 1 3 Add3 variable B ALPHA B 52 t p 13 B 3 t 153 m 2 4 Clear all variables 2nd CLVAR
50. raph you want to superimpose over builtin graph If variable X is not included in the second expression the first graph is cleared before the second graph is generated See Example 39 Trace Function E 20 This function lets you move a pointer around a graph by pressing and lt The x and y coordinates of the current pointer location are displayed on screen This function is useful for determining the intersection of superimposed graphs by pressing 2nd See Example 40 Note Due to the limited resolution of the display the position of the pointer may be an approximation Scrolling Graphs After generating a graph you can scroll it on the display Press A 1 gt to scroll the graph left right up or down respectively Example 41 Plot and Line Fundion he plot function is used to mark a point on the screen of a graph display he point can be moved left right up or down using the cursor keys The coordinates of the point are displayed When the pointer is at the desired location press 2nd PLOT to plot a point The point blinks at the plotted location wo points can be connected by a straight line by pressing 2nd LINE See Example 42 Chapter 6 Statistical Calculations The statistics menu has four options 1 VAR for analyzing data in a single dataset 2 VAR for analyzing paired data from two datasets REG for performing regression calculation
51. s and D CL for clearing all datasets Single Variable and Two Variable Statistics 1 From the statistics menu choose 1 VAR or 2 VAR and press ENTER 2 Press DATA select DATA INPUT from the menu and press ENTER 3 Enter an x value and press 4 Enter the frequency FREQ of the x value 1 VAR mode or the corresponding y value in 2 VAR mode and press 5 To enter more data repeat from step 3 6 Press 2nd STATVAR E21 7 9 Process Capability See Examples 43 and 44 orm Pres A lt Jor gt to scroll through the statistical variables until you reach the variable you are interested in see table below Variable Meaning n Number of x values or pairs entered Mean of x values y values Xmax or Ymax Maximum of the x values or y values Xmin or Ymin Minimum of the x values or y values Sx or Sy Sample standard deviation of the x values or y values Population standard deviation of the x values or y values Xxor Xy Sum of all x values or y values Xy Sum of dll x values or y values Xxy Sum of x x y for all x y pairs CVxorCVy Coefficient of variation for all x values or y values RxorRy Range of the x values or y values To draw 1 VAR statistical graphs press Graph on STATVAR menu There are three types of graph in 1 VAR mode N DIST Normal distribution HIST Histogram
52. sequence A First item common ratio number Sum 5 AR AR A R 1 R 1 2 R 1 gt 1 Nth item 7 WR 1 gt S N 77 Program Type MAIN Line Program 1 INIT 121 1814 151 18 6 45 2 NJP U T P gt JN 3 1 1 41 5 TIM EIN 5 81 11 151 1 3151714181 7 21 811511 11 1 111 10 11111511 21 RUN W When the message 1 A N 2 S N appears on the display you can input a P value to specify the type of operation to be performed for A N 2 for S N A25 R24 N27 gt 7 20480 ENTER 1 5 Seconds 11 ENTER 151 A ENER 7 00 1 A N 2 5 9 proc P lt proc 74 proc 78 ENTER 20480 1 5 4 9 gt 5 5 9 436905 ENTER 5 Seconds 1 A N 2 5 B 4 proc 2 ENTER 5 ENTER 94 4 9002 proc SENIER S N 436905 f proc 7 1 14 gt 5 5 14 98
53. ve 20000000000 x x 37777777777 for negative 0 17777777777 zero or positive HEX 80000000 x x x FFFFFFFF for negative O lt x lt 7FFFFFFF for zero or positive Error Conditions When an illegal calculation is attempted or a program you enter causes an error an error message briefly appears and then the cursor moves to the location of the error See Example 3 The following conditions will result in an error Message Meaning DOMAIN Er 1 You have specified an argument that is outside the allowable range DIVIDE BY O OVERFLOW Er SYNTAX Er 2 FREQ 1 stats 0 not an integer 3 USL LSL You attempted to divide by 0 The result of a calculation exceeds the limits of the calculator 1 Input error E 12 2 An improper argument was used in a command or function 3 An END statement is missing from a program LENGTH Er An entry exceeds 84 digits after implied multiplication with auto correction OUT OF SPEC You input a negative Cpu or value where USL x and C X LSL 5 4 NEST Er Subroutine nesting exceeds 3 levels GOTO Er There is no corresponding Lbl n for a GOTO n GOSUB Er 1 There is no corresponding PROG n for a GOSUB PROG n 2 Attempt to jump to a program area in which there is no program stored EQN SAVE Er Attempt to save an equation to a program area that already has a stored program EMPTY Er Attempt to ru
54. version procedure follows also see Example 25 1 Change the angle units to the units you want to convert to 2 Enter the value of the unit to convert 3 Press 2nd DMS to display the menu The units you can select are degrees minutes seconds radians g gradians DMS Degrees Minutes Seconds 4 Select the units you are converting from 5 Press ENTER twice To convert an angle to DMS notation select DMS An example of DMS notation is 1 30 0 1 degrees 30 minutes seconds See Example 26 To convert from DMS notation to decimal notation select degrees seconds See Example 27 Trigonometric and Inverse Trigonometric functions The calculator provides standard trigonometric functions and inverse trigonometric functions sin cos tan cos and tan See Example 28 Note Before undertaking a trigonometric or inverse trigonometric calculation make sure that the appropriate angular unit is set Hyperbolic and Inverse Hyperbolic functions The 2nd HYP keys are used to initiate hyperbolic and inverse hyperbolic calculations using sinh cosh tanh sinh cosh and tanh See Example 29 Note Before undertaking a hyperbolic or inverse hyperbolic calculation make sure that the appropriate angular unit is set Coordinate Transformations Press 2nd to display a menu to convert rectangular coordinates to polar
55. wers previous entries and memory are cleared To cancel the reset operation move the cursor to N and press ENTER If the calculator becomes locked and pressing keys has no effect press EXP 99 MODE at the same time This unlocks the calculator and returns all settings to their default values Contrast Adjustment Press MODE and then W or A to make the screen lighter or E4 darker Display Features Graph display Graph 0 546948158 Result line B Calculation display 1 Entry line 1 2369 7532 ie x10 99 6 903680613 Result line B ENG Entry line Displays an entry of up to 76 digits Entries with more than 11 digits will scroll to the left When you input the 69th digit of a single entry the cursor changes from lt to to let you know that you are approaching the entry limit If you need to Result line Indicators input more than 76 digits you should divide your calculation into two or more parts Displays the result of a calculation 10 digits can be displayed together with a decimal point a negative sign the x10 indicator and a 2 digit positive or negative exponent Results that exceed this limit are displayed in scientific notation The following indicators appear on the display to indicate the status of the calculator Indicator Meaning M e 2nd STAT PROG EI Values are stored in running memory Result is ne
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