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    HP-35

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    HP's interest in computation evolved as a na turalextension of our traditional involvement in measurement problem solving. At an early date. HP recognizedthe growing need for a family of computationalproducts uniquely designed for ease of interface withscientific instrumentation.In 1966 we in troduced the first d igital minicomputerspecifically designed 10 meet th is need. Soon after, wefollowed up with our f irSt programmable calcula tor .From these modest beginning

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    lU l l ~

    I I I I ~ I I I II I iii iiiI I 11011 110.

    6III 7 --..!L.J. ~4 5~@I I L !- ei..;..

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    0 DISPLAY~ POWER ON-OF F SW ITCH@ FUNCTION KEYS0 CONTROL KEYS0 MEMORY KEYS(i) ENTRY KEYSf ) CLEAR KEYS(i) ARITHMET IC KE YS

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    HP-35

    HEWLETT.PACKARD10900 WOLFE ROAD, CUPERTINO, CALIFORNIA, 95014

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    FOREWO RDTo g , ~ e you more computing power, your HP 35 works ina consistent and natural way that may be slightlv different from p r e ~ i o u s calculators you have operated. So evenif you are an eNd hand at using calcuiatOfs, you will find itworthwhile to read this little book. Beginners, too. willfind the step bV step explanation easy to follow.

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    SHIRT POCKET POWER

    Our object in developing the Hp35 was to gIve you a hi(flpreciSIon portable electronic slide rule. We t h o u ~ " " I I you'dlike to have something only ficllonal heroes like JamesBond, Walter MitIY or D,ck Tracy are supposed to own.The HP35 has far more computing power than previouspocket calculators. Its ten digit accuracy exceeds theprecIsion to which most of the phYsical connants of theuniverse are known. It wil l handle numbers as small as10-99 and up to 1099 . Jnd automa t ica lly places thedecimal point for you . It is th e first pocket calculato r toprovide YOU with tran:;.cendenta l functions like logarithmsand sines and cosines. The operational $lack and thereverse "Polish' (Lukasiewicz) notation used in the HP.35are the most efficient way known to computer :;.cience forevaluating m!lIhematical expressions.

    The HP35 was designed with yOU, the user, In mind. Wespent as much time on the keyboa rd layout. on the chOiceof functions, and on the styling as we did on theelectronics.

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    The speed and convenience with which you can arrive at aSolution to a problem is unparalleled. Vou will find thatfewer mistakes occur when compu tations are easier tomake. You will also find yoursei f performing calculationsyou did nOt do bef ore. They fa ll into Three categor ies:firsT, Those calculations in your own field that wereavoided in favor ot an educated guess. The ability toperlorm complex calculations whereV(! r you are and what ever me situation will enhance your prolessional staTure.The second category consists of calculations indirectlyrelated to your pro fe ssion - computing the return on aninveslment, reconciling your bank account, pursuing yourhobby with professional precision, etc. The last categOfYcontains thO$!! expioratOfY calculations that you do forlun. They arise when someone asks "Old youknow . . . ?". For example, did you know th ai one cubicmile of air weighs more than 5 million tons?Did you know that a man running a 4--minute mile turns100 yards in a little more man 13.6 seconds?Did you know that 355 / 113 is an excellent approxi mation to n?

    i i

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    Why not check and see just how close 356/ 11 3 doesapproximate 11? Although the rest 01 this manua l must beread , JUSt between the IWO of us, you can't hurt Ihecalculator by sliding the power switch to ON and pressinga lew keys,To check the approxima t ion, key in 355, then pressIDJiiIl and key in the denominator, 113, N

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    TABLE OF CONTENTS

    SECTION 1 INSTANT AR ITHM ETICSERIAL CALCULATIONS 3SUMS OF PRODUCTS 4PRODUCTS OF SUMS 5THE OPERATIONAL STACK 6SOME SIMPLE PROBLEMS 8POWERS OF NUMBERS 9PROBLEMS IN FI NANCE "IG AND LITTLE NUMBERS "EGAT IVE NUMBERS "ORE MEMORY "EARRANGING THE STACK '6LOGAR ITHMS AND TR IGONOMETRY "

    SECTlON 2 OPERATING LIM ITS "CCURACV "VERFLOW & UNDERFLOW 22SC IENT IF IC NOTAT ION 22IMPROPER CALCULATIONS 22TEMPEnATUnC RANGES 23

    BATTERY OPERAT ION 23RECH ARGING I A.C. OPERATION 24BATTERY PACK REPLACEMENT 26ACCESSORIES 27

    STANDARD 27OPTI ONAL 27

    SERVICING 28LOW POWER 28BLANK DISPLAV 28

    WARRANTY 28IN WARRAN TV 28OUT OF WARRANTV 29

    SHIPPING INST RUCTIONS 29

    SECTION 3SAMPLE PROB LEMS 30SOLUT IONS 32AN A LGORITHM 34

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    Hewlett-Packard ships your HP-35 lullyassembled, withbanery pack 10 place, and ready 10 operale. W"h thebattery charger disconnected, slide the power SWItch toON. You should see a ~ e r o and a decimal point dIsplayed.If any Other ind ication is present, e e SERVIC lNG, page 28 .

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    seCTION1INS TANT AR ITHMETIC

    In the HP-35, arithmetic aIlswers appear immediatelyafter press ing a G , 1:1 , E3 or G key. As in on nddingmachine, where the a key adds the last entry to w hat.ever is alrendy in the machine, and the 1:1 key subtractsthis la'St entry, so also, in the HP35, the 13 key multi.

    p l u ~ s what's in the machine by the last entry and the Gkey dIvides by the lasl entry.

    BUI at the start we've got to gel the li($t number into themachine. To do this you key in Ihe first number and pressNow key in the next numbe r and then press

    Try these examples. It is no t necessa ry to clear themachine between problems, but if you make an entrymistake, press m jCLEAR XI and enter the numbercorrectly.

    Toocld3to12 To subtract 3 from "ress'" Press '"OJ 1 . OJlID 12 . lID 12 .am 12 . am 12 .@) 3. @) 3 .

    I I 15 . iii 9 . 1

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    2

    To multiply 3 times 12 To d,v,de 3 irllO 12Press s.. Prcss ""CD CDlID " lID " .EliIl " . EliI l "III 3 III 3.EI 36 . 1:1 ,

    Notice that In thc four examples: BOlh numbers !operands) are in the machine

    before you press D , 1:1 , EI or= Pressing the D '= EI or = ey causes the

    addll;on, subtraction, mUltiplicatIon or division 10oc.:::ur immediately and the result to be d,splayed.The EliD key repeats the numbcr displayed to asocond inlernal register 1a ploce Ihat holds numbers!. ThedIsPlay blinks to show you Ihis has happcncd. When younow Cnter a new number, the Hp35 automa tically clearsthe display 01 the old one. But if you wanled 10 doublethe old number, you don't need to enter it again, justpress D after the !mIlD Or, i f you wanted 10square It, Just press EI .Try these examples.

    To double 3 Tosquorc 3Press s." Press s."III 3 III 3EliIl 3 EliI l 3D 6 EI 9

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    SECTION 1SER IAL CALCULAT ION

    Whenever a new number is enlered aher any calculallOn.the Hp35 performs an automat ic immJ before iIC-ceptlng the new number. This means thut the previousanswer und Ihe new en t ry are both in posilion for thenext arithmetic o!X]ration .

    Find the sum of thefirst five odd numbers

    Press

    ""jJEDl 1.@ 3.I I 4 .lID 5 .I I 9.II) 7I I 16 .lID 9I I 75 .

    Find the product of thefirst f ive even numbersPress

    "" ,ED l ,[4] ,.I 8 .lID 6 .I ".lID 8I 3"(jJ1Q) , 0I 3840

    If you ~ r e calculat ing ((2 I 3 )14 + 5) , 6 by Ilarld. youwould first add 2 and 3. then di vide the sum by 4. add 5to the quotient and fin ally mu ltiply by 6. This is exocTl ywhaT you do on the HP-35:

    3

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    ((2 + 3)/4 + 5) -6Pre55 Soo CommentsIII 2 .I!mIl 2.@] 3 .a 5. Add 2 and 3(!) CiI , 25 Div,de ~ h e sum by

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    SECTION Ia 40 . 32 (12 x 1.58) i (S x 2.67)16 16 .IlmIl 16 ..54 54I 8 . 64 (16 x 0.54)a 48 . 96 Total Sale Price

    Obviously, you can f ind the sum of any number o fproducts thIs way.PRODUCT OF SUMSProblems like (7+3)'(5+1 1),(13+17) are done juS! likesums of prcdUCI$ with all the 13 and D key strokesinterchanged.

    Press 500 CommenlS7 7 .- 7 .3 3 .a 10 . n +3)5 5 .IlmIl 5 .11 11 .a 16 . (5+111I 160 . (7+3) (SHU13 13 .IlmIl 13 .17 17 .

    a 30 . ( 13+17)I 4 8 0 0 . (7+3) ' (5+ 11 ) ' 03+ 17) 5

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    6

    THE OPERATIONAL STACKTo do the last examples your HP-35 had to save someanswers for future use. Let's see how it does this. Thereare four number registers in the HP-35, which we call theX, Y, Z and T regIsters. They are arranged in what iscalled a "stock", X on the bottom and T on the top. Thedisplay always shows the number in the X register.OPERATIONAL STACK

    ,yx

    ___ T Regis ter___ Z Register___ Y RegIs ter

    X Register

    NOTEThe x Register is~ I w ~ y ~ r l i ~ n l ~ Y f l r l

    To avoid confusion between the name of aregister and the numberin it, we designate theregister by a capitallener and the numberby italics. Thus, X, y, Zand I are the contentsn / X , Y , 7 ~ " d T

    When you key in 11 number, it goos into the X register,Which is the only one displayed. When you pressIlDEiD ,this number is repeated into the Y regis te r. Atthe same time, the y is moved up to Z arxl z is moved upto T like this:

    When you press a ,Xisadded toy, and the whole stackdrops to d,splay the answer In X. The same Ihinghappeosfor= I and G Whenell(!r the stack drops, I isduplicated into T and Z, and Z drops 10 Y.

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    SECTION 1

    T D, z 1:1Y I Y-I-X l y - X ~ ~ Y 13X Y>

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    8

    SOME SIMPLE PROBLEMSCalculations that involve only one number are easier thanthe problems you've already done. You iust key thenumber (x) inlo the HP-35 and press the key that doeswhat you want done. Let's try some eKamples:(a) Square Root of 49 Press "'"0 ,.

    lID ".f i i l 7 .(b) Re.::lprocal 0125 Press

    "'"lID 2 .lID 25 .m.1 "The x on the rill and m key means the answer

    will be the square root or reciprocal 01 X, that is, of thecontents of the d lsplaylXl X regIster. Th is can be theanswer from a previous calculation.Ie) Hypotenuse of a righ t triang le o f sides 3, 4. We wish 10

    compute ,132 -t 42 Press"'"3 .3 .

    9 .,.,."5 .,

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    SECTION(d) Find Ihe area of a elrcle with a 3 foot radius, i.e ..

    A " JTR2 w!lh R 3 fet't.Press "'"@ 3IiiliIl 3 .EI 9 .~ 3 . 1 4 1 5 9 2 6 5 4EI 28 . 2 7 4 3 3 3 8 9

    POW ER S O F NUMBERSWe have al readv set'n how to square a number and to takeilS reciprocal, Ihatls, how to lind Xl and X- I. The I ' l lkey leiS you Imd any power of a posilillC number. Suppose you wont to lind 2xZxZx2x2x2x2 27. In mostcalculators youd have 10 do all six mu ltiplications. Hereshow YOU do it with Ihe HP-35:

    Press S" Comments0 7 Enter the power. y.IiiliIl 7 Put It in YlID 2 Enter the number, X.l'DI "8 Take 27

    The power (y) does nOt have to be a whole number: It canbe any number. The HP-35 performs XY wllh an mternalprogram using logarithms and the answers are nOI alwaysexael to Ihe last decimal p lace (sec Accuracy page 21). Fore ~ a m p l e , 81/ J - 4. bu t " you key (ID !mE @G rnJ III you get 3 9 9 9 9 9 9 9 9 9 Call It 4;the error is .000000001, or only one bl ilionthl 9

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    10

    PROBLEMS IN FI NANCEIf YOU deposiUlI:I one dollar a ~ 5% i n ~ e r e s ~ compoundedannually. how much would you have a ~ the end of 17years? Value ~ (1 + A a ~ e l YearsPress Comments17 Number of yearsIIIIDJ 1 7 .1.05 05 1 + inlerest rateI I I 2 . 2 9 2 0183 1 9 Amoun lafrer17yean; ($2.29)In 1965 a company had gross sales of $926 million. By1972 the sales had increased to$I .37 Billion. What is thegrowth rate compounded annually?

    Pross1972EllII19651:1mil1.37 0 9EllII926 IDI 61:1I I I

    (Final sales ) I {yearS1 + R a l e ~ Initia l Sales

    19 7 2 .1 9 7 2 .1 9 6 5 .

    t..:OmmCn lS

    7 Years1 4 2 8 5 7 1 4 2 9 RecIprocal of

    periodI. 37 09 1.37 billion1 . 37 0992 6 . 0 6 926 million

    4 7 9 4 8 1 64 11 . 0 5 7 55 11 18 Annua l growth

    ra te - 5.7551118%

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    ~~

    TZV

    Find the monthly payment on a 30 year $30,000 loan havtng an annual interest of 6

    Monthly Payment = Principal x Monthly1 - [11( 1 + Monthly Inter

    30,000 x .0051 - [1111.oo5)360J

    >50 >50150 150

    30000 30000 150 360 360X 30000. 30000, .005 150. 1. 1. 360. 360. 1.005KEY 30000 0 .005 I D 360 D 1.005

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    12

    BIG AND LITTLE NUMBERSSuppose you square 987654 by p ressing 987654ImDiD f3 .The result you set! is

    9 . 7 5 4 6 0 4 237 11This is the way the Hp35 displays numbers Ibove tenbillion. The number is read as

    9.75460

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    ,

    SECTION 1

    lID 15 . 6lEI 15 . 6 00IIJ 15 . 6 01~ " . 6 12

    You can save t,me when entering exoct powers of tensimply by preSSing IIJ3 and then the desired power 01ten. Before doing an example, press BIl to terminatethe previous example. Now, to enter one million (106):

    Press g."0006

    To enter negative powers of ten, p r e ~ s a (Change Sign)after pressing B and eit her before or after keyi ng intho powor o f Ion To en,Or ,he rna", of "n "I"ctron, whichis 9 .109 x 1 0 - ~ 1 kilograms, first press _ to terminateth e previous e ~ a m p l e , then:

    Press g."~ [J IIJ lID "lID ".ID ". 00I!I:Il ". - 00@ " - 03IIJ d -" 13

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    14

    NEGA TI VE NUMBERSThe _ key d oes mOl'e than enter M9'ltive powers oflen. In fact, its primary uses are for entering ne9'l t ivenumbers and changing the si!J) of a computed result.Example : In computIng Ihe product (-31(- 4) (-5 1(-6 1-

    you WIll see that the m:e can be usede,ther belore or after the number. Since youdIdn't use the number from the previousexample, press 6!l to get rid 01 i t .

    Press "'"a - 0@J - 3ImIliIl - 3IilIl 3 .GJ - 4 .I 12 .@ 5a - 5I - 6 0lID 6a - 6I 36O,

    TRAI LING ZEROS

    Commentsa used before 3a used be fore 4

    (-3 1(- 41 '" 12

    a used after 5(-3)(-4)(-51 " -60

    a used after 6(-31(-4)(-511-6) K 360

    Trailing zeros 10 the righ t of the decimal point areblanked QUI, automatically .

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    II

    1t

    S ECTION 1MORE MEMORYYour HP35 has an additional memory register for storingconstants. It is not affected by compu tations. HowC'/er, akeyboard entry or IiBJ immediately following mEldoes not raise the stack.EMampl e: To find what percentage each 01 the lirst l i ~

    odd numbers i5 01 their total, lirst add 1, 3, 5.7 and 9, then press om (STO RE) to storethe sum (25) in memory. The individual entriesmay now be divided by the stored nurrber si ......ply by pressing IiBJ (R ECAL L.) and then GI :

    Press

    1m(jJ1maI1JG!!I!alID1mamG!!I!alIDG!!I!a

    ""5 .25 .1 .25 .".25 .

    125 .25 .

    27 .25 .

    289 .25 .

    36

    Comments(Key in 25 if not alreadythere)STORE sum in memoryFi rst numberRECAL L. sum4% of tota l

    12% of tota l

    20% of total

    28% of total

    36% of wtal 15

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    16

    REARRANGING TH E STACKThe m (ROLL OOWNI key let$ you reI/lew the Slackcontents Withou t losing data. II IS also used to reposi ti ondata Wi thin the s lack. Here is what happens each lime youpress m

    t ~ / TZ -.......j"'-- ZY - - ' ( ' - - yx ./ '--- XExa mpl e: Load the stack by pressing GJ E iD (gJamn (ID E iD m (The Slock now

    contains X=4 , 1'''3, Z- 2, and ~ L To rel/iewthe COntents of the stack press m four times.The fourthm returns the stack to its anginalposition (X"'4, y ~ 3 , Z-2 and t - l l.

    NOTE: Pressing m afte r e ntering a series of digitsto form a number terminates the com positionur tt", number (i.e. , no at$dltlonul dig its canbe appendedl

    NOTE: The stack is raised an d t is loU when a ke y boa rdentry or a follows m .

    You will often f.nd that X and y should be exchangedbefore a a , G or III opera t ion . The f:Bl keyexchanges. X and y as shown beiON.

    Tz--- zy ~ . - - - - yX---------'--- X

    Example: Find {/S 12Press s .

    5 1 2 512Commer"lt

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    SECTION 1

    ImmIl 512.([J 9.I!'lI .1111111111 xandyare in wrong orderEB2 512. xandyare in rightorderI I I ,LOGAR ITHMS AND TRIGONOMETRYYou use the logarithmic and trigonometrIC functions thesame way you use ( i i i and lEI : he number in Xisreplaced by the functIon requested like this:___ T

    ; = = = = ~x - f (X)- X

    where f(XI IS.Jx. l /X.log X.InX.o reX

    fDImImmmIlII

    In the case of tri gonometric functions. Zreplaces t. (The Tregister is used when comput ing tr i gOrlometric functi orls.l

    _____ 1LOST)t - - - ' ____ T .Z ~ Z where f(X) IS sin X.y ____ y cos X. I1In X. arc sin X.arc cos X. or arc \an X.X -HX) - - X

    Your HP35 computes both natural logarithms 1loge) and common logarithms ( 1m is log 10)'

    IiIIiJ1mIEIlIm

    II1II isNatural arltilogarithms. anllioge X ex' are formed withthe m key:common antilogarithms. antilog . 0 X .. 10'-;are formed wIth the m key.Example: To find antilog 10 2. press (II am l ill@I I I wread 100.

    17

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    18

    Alt hough logarithms were origina lly ured to speed multi-plication and division, they have partIcular significance inscientific and engineering problems. There is. for example,a logarithmIc relatIonshIp belwtlen alti tude and barometricpressure. Suppose you wish 10 use an ordinary barometeras an alIi meIer. Afler measuring the sea level pressure(30 inches of mercury) you climb unlil Ihe barometer in-dicates 9.4 inches of mercury. How hIgh are you? AllhoughIhe e ~ a c t relatIonship of pressure and alti tude IS a function01 many lactor'$, a reasonable a p p r o ~ i m a l i o n is given by:

    Press25000IlmIl30IlmIl9.4;;l1liI

    30Altllude (teet) 25,000 In --ressure"" Comments2500 0 .25000 .30 .309 4 Pressure a t altitude3. 1 9 1 4 89362

    160 4 87693290 12 19233 Altitude

    [We SUSpe.c1 thaI you may be on Mt. Everesl (29.028 feet))Your Hp35 compules trigonometric functions of anglesmeasured on degrees and decimal fractions of a degree.E ~ a m p l e ! Find sin 30.5, cos 150" , Ian _25.6 .Press So, Comments30.5 30 . 5

    5 0 7 5 3 8 3 6 2 8 sm 30 .5o

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    SECTION 1 o 150 .

    8 6 6 0 2 5 4 0 4 1

    ~ 866025 404125.6 - 25 . 6

    4 7 9 1 1 9 7 2 1 4

    oCOS 150

    Ian -25.6o

    Inverse ,rigO

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    20

    Many times i t is neceSSiJry to l'onvert data to a formoceeplable 10 a given algorithm as in Ihe followingexample:Example: Conyert 35 17' 47" to decimal degrees.

    Press S ~ Comment13 [5 35. Degrees!!mill 35[' )[7J 17 Minutes!!mill 174 7 47 Seconds!!mill 476 a 60 Computation constantIiliiI 60.= 7833333333D 17 783333331m 60= 2963888888D 35.29638889 Decimal degrees

    You now know all of the basil ' lacts about operaungyourHP35 . Ho weyer you may l ind the f low chan on page 34Interestmg. It deSCribes a procedure Inn nlgorothm) thatwill nllow vou to evaluate any cxprcssion on a calculatorli ke VOl" HP35, that uses an opera t ional stock and LukaSeWICZ nOlall0n.

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    SECTION2OPERATING LIMITSACCURACYThe accuracy of the HP-35 depends on the operatIonbeing performed. Elementary operations such as add, subtract, multiply, divide, reciprocal. and square root have am a ~ i m u m error of one count m the tenth (least significa ll) d igit. Errol'S in these operations are caused byrounding answel'S to the tenth (least sig"l ' f icant) digit. An

    e ~ a m p l e of round off error is seen when evaluating(Vs)2. Rounding V5 to 10 signi f icant digits gives2.236067977. Squaring this number gives the 19 digitproduct 4.999999997764872529. Round ing the square to10 dIgIts gives 4.999999998. I f the n e ~ la rger a p p o ~

    m ~ t l o n (2.2360671378) ~ q u o r o d , the .cou lt ' o5.000000002237008484. Rou nding this numbe r to 10sign if ican t d igits gIves 5.000000002. There simply is noten dIgit number whose square is 5.000000000.The accuracy 01 the remaining operations (trigonome tr ic,logarithmic and exponential) depends upon the argument.The answer that is displayed will be the correct value foran input argument with i n iN counts in the tenth leastsi!Jliticant digi t of the origmal input argument.Values lo r N are:

    OPERATION VALUE OF N10gX.lnX,ande X 2

    trigonometric 3x y 4 for X.and 7 fory

    21

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    22

    Logari thmic operations have an additional l imi tation of1:3 in the 10th decimal !leasl significant) digit i n thedisplayed answer.Trigonomet"c operations have an additional occurocylimitation of 1 >< 10- 9 on the displayed answer.E>

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    SECTION 2

    CA UTIONCalculator call be damaged by stalic charge.

    TEMPERATURE RANGESOPERATINGCHARGING:STORAGE :

    0" 10 +40oCo 0+10 10 +40 Co 0- 40 10 +55 C

    BATTERY OPERATION

    (32F to lQ4oF)(50F to lQ4FI(_4 0 F to 131 F)

    The bau ery provides three to five hours of con\lnuousoperation. By turning off the power when Ihe calculatori5 nOt in Immediate use, Ihe HP-35 oottery power willeasily lasT throughout a normal workingdav.All decimal points bul one light in the display when 2105minu tes 01 opora ti on time remain in the battery pack .Even when the extra decimal points are turned on, the truedecima l position is known becau,e an entire digit positionis allocated to Ihe true decimal position.Example:

    Operating Ihe calCulator for more Ihan 2 to 5 minutesaher this low power indicat,on first occurs may result inwrong answcrs. The battery pac k must be recharged bycQlmectingthe Hp35 10 the battery charger.

    23

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    24

    NOTEThe HP-35 should be turned o ff before pluggin9 in thecharger. It can be turned on &!lain alter the charger isplugged in to the power outlet.The calculator can be used during the char9in9 cycle. TheHp35 can be operated continuously from the ac line ifdesired. There is no danger of o ~ r c h a r g i n g the battery.

    RECHARG ING AND AC LINE OPERAT IONCAm'ION

    1'0 prevent damage, the position of Ihe l inevo l/age select swi tc h 011 II IC ba t/cry charge rmust be set fo IIw proper line vo l/age .

    1, Make sure that the power switch is 0 FF.2, Insert battery charger p lug into the rear co nnecto r of

    the HP-35 and connect power plug to power outlet .NOTE: Either connection may be made first.3. Slide the power switch to ON and observe tha t a zero

    and a decimal point are displayed.

    IMPORTANTThe HP-35 wi l l not operate when connectedto the recharger unless the recharger is connected to a live power outlet,

    5. Slide power switch to OFF i f you don't want to usethe calculator while it is charging.

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    SECTIO N 2NOTE

    Alter 14 hours, a complelCly discharged battery will befully charged. Shoner charge per iods will allow reducedbattery OPerating lime. There is no danger 01 owrcharge.f or convenience, ovcrnig,t cha rging is re.:::ommended.6. AI end 01 the charging peri od . yo u may continue using

    your HP35 wil h ac powe r or proceed to ne xt step l ordc power operation .

    1. With the power switch at OFF , disconnect batterycharger Irom PCNVer rece ptacle.

    8. Disconnect ballery charger from HP.35.NOTE

    Temporary degradation, peculiar to nickelcadmium bat teries. may cause a decrease in the operating period of thebaHery pack. Should this happen turn the HP 35 on for atleast five Ilours to completely di scllarge tM i.Jalterles.Then PUI il on charge fo r ~ t least 14 hours. This sho uldcorrect the temporary degradat ion.If the bauery pock won't ha d a charge. i t may bedefective. If the warranty is in eff()(:t. return the pack toHewlettPackard ac

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    26

    BATTERY PACK REPLACEMENT

    1. Turn power switCh to OFF and dIsconnect the batterycharger.2. Slide the two baltery-

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    SECTION 2ACCESSOR IE SSTANDAR DYour HP35 comes complcte with the l o l l ~ i n gaccessories:(To reorder. see the Order Card In the back cover pocketof this manual.)

    ACceSSORY

    Battery PackBattery D'larger/AC AdapterSafe ty Travel CaseSoft leather Carrymg CaseOperating ManualFour personalized labels

    MODEL/PART NO.82001A82002A82003A8200SA

    000359000871202946

    The pe rsonalized labels are provided lor your con venience. Type your name or other Identification on eachlabel and aff,x to calculotor, battery charger, and safetytravel case.OPTIONALOthcr lICcC$sorics for your HP 35 arc specif ied on theOrder Card in the back covcr pocket o f th,s manual. Wewill send you new Order Cards as add,tional optionalaccessories arc added 10 our prodUClline.The 82oo4A Ballery Holdllr and Pack consists of acharging allachment and a spare ballery pack so thai onebattery pack can charge While the other is in use.Oplional accessories include:

    AcceSSORYBattery Holder and Pack$ecu"ty CradleHard Leather Field Case

    MODEL/PART NO.82oo4A82oo7A82oo6A

    27

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    28

    SERVICINGLO W POWE RAll decimal points light to warn you that you have a fewminutes of OPe rating time 1

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    SECTION 2OUT OF WARRANTYBe yond the one (1) year period , your calculalOr will berepaired for a current fixed price of $40.00 (U.S. only ),pl",s applicable State and Local Taxes. Return the HP-35along with all standard occessoroes (see Shipping Instruc tions) I f only the battery pock i$ defeclive, simply ordera replacement (see Order Card 10 Ihe back cover pOcket ofthis manual).

    SH IPPING I NSTRUCT IONSMalfunctions t, oced to the calculalOr or battery chargerrequire tha t you return 10 us:

    Your HP35 with all standard a::cessories In Its sa fetytravel case .

    2. A comp leted Serv ice Cnrd (from back COlICr pockc t o fth is manual).

    If a battery pac k is defect ive and with in warran ty, rel",rn\0 us:1. onl y the de fectIve bauery pock2. a compl eted ServIce Cnrd (from back cover pocket o f

    this maflual)Send returned i tems safely packaged to the address liSle

    Uflder flormal COfldltlon$, your calculator will be repa i redarod reshi pped wlthu) two days of receipt at Ihls address.

    29

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    30

    SAMPLE PROBLEMSUse the following sample problems to test your skIll withthe HP-35. Aefer to Solutions, page 32, for o;orr(!c1answers and preferred methoos of calculations.

    1. (3)< 4 )+(5>

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    7.

    a. R - S, 0 " 30 . Find x. V(x - R cos 0; v ~ x t a n O )

    b. x - 4.y - 3. FindR,O

    s e CT ION 3

    (0 - arc tan (y/x); R E y/sinO)8. Co rWCrI the follow ing to cen timeters:

    ,. 5'3"'b. 37"', 24"'d. 36""

    9. Compute the annual rate 01 return (after taxes)of an uwestment held for 6 1/ 2 monthS whenTax Rate " 35%Buy Price - $2341sell Pncc $2672

    RETUR N ISE LL - BUY)(1 - TA X)

    BUY12 100HO LD DURAT ION x

    31

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    32

    SOLUTIONS

    1. AOSWCf: 98.@0 0 1 1ID 0 1IDI0 0 0 1ID l0

    2. A " ~ w e r : 11 55 .

    @0 0 0 1ID 0 1IDOl 0 0 1ID 0l3. Answer: 26.9064 1536

    0 0 1ID l 0 0 0lID O@0I T l G H ~ 0 ITllID O 0 0 0 0D ITl@ 0 0 0 0 DOl

    4. Answer 2.

    5. Answer: 3. 14 1592653o lID o lEI ITlO IEI ITllID 0 lEI 0 0 lEI @0

    6. Answer: 6949 .392474o ID IiSiI ITl lID lID IiSiI I 0 lIDmm ITl lID lID mm I lID lID IiSiII 0 ma IiSiI lID lID I

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    SECTION 3

    7 . iI . Answers: X ~ 4.33012702y ~ 2 .5@ (Q) D 1m f.'IiIl mI@ EI E I - v a l u e o I Y ~ 2 . 5

    '- va lue of)( " 4 .3301 2702b. Answers: 0 ~ 36 .86989764R .. 5.000000003

    @ D D GJ CH illi11m! am =-value 01 R z 5 .000000003

    \ value of 0 - 36.869897648. a. Answer: 160.02

    8 lID GJ IiIIlI lID D[]) EI @ D Il!3J EIb. Answer: 93.98

    c. Answer: 60 .96

    d . Answer: 91.44.

    9. AnsVYCr : 16.96710008I1J lID IT) I1J D I1J @ GJ []) IiIIlI=])D 8 @I lID = I Il!3J D []) EI lID8 IID ClI [])(Q)(Q) EI

    33

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    34

    AN A LGOR ITHMThe flow charI shown below allows you 10 evaluate anye ~ p r e s s i o n on a calculator . like your HP35, Ihat u

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    SECTIO N 3Use the algOri Ihm to solve

    (3+ 4 ) [ l o g ( 2 5 ~ ) + 6 1According to our algorithm, the solution can be obtainedfor any expressioo by entering the numbers in the orderin which they occur, i.e., 3, 4, 25, 7. 9 and 6.

    Press Flowchart 8 0 '@ 3 . IIEIJ 3 . @0 , IJ 7. IIEIJ ' 7 . @~ I I D 25 . IIEIJ 25 . @III 7. IIEIJ 7 . @lID 9 . IJ 16 . fiiI ,. 13 1 0 0 . IS1I 2 IIEIJ 2 . @lID 6 IJ 8 . 13 56 .

    You may omil these steps because your Hp35 performsan automatic ImIDJ lor you. 35

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    36

    Although the IlIgo

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