Manual / Guide · 1973
HP-35 Operating Manual (1973)
Hewlett-Packard's operating manual for the HP-35, August 1973 edition.
Manual / Guide · 1973
Hewlett-Packard's operating manual for the HP-35, August 1973 edition.
Poe S 6 Ree oFrF on xy log In e* CLR {= arc sin cos tan Vx xzy Re sto ACL Be CHS EEX cCLx ENTER* MEWLETYT + PACKARD ©VOGOOOOSO DISPLAY POWER ON-OFF SWITCH FUNCTION KEYS CONTROL KEYS MEMORY KEYS ENTRY KEYS CLEAR KEYS ARITHMETIC KEYS HP's interest in computation evolved as a natural extension of our traditional involvement in measure- ment problem solving. At an early date, HP recognized the growing need for a family of computational products uniquely designed for ease of interface with scientific instrumentation. In 1966 we introduced the first digital minicomputer specifically designed to meet this need, Soon after, we followed up with our first programmable calculator. From these modest beginnings, HP has now become an acknowledged leader in the field of computational problem solving. Over 10,000 HP programmable cal- culators and more than 3000 HP digital computers are now at work in a wide range of scientific, industrial, and educational applications. Their effectiveness is further enhanced by a complete line of peripherals — ranging from digital tape and disc drives to card and tape readers, printers, and plotters. Now we've coupled our experience in scientific prob- lem solving and computational technology to bring you a new dimension in personal computing — — the HP-35 Pocket Calculator. HEWLETT PACKARD HP-35 HEWLETT-PACKARD 10900 WOLFE ROAD, CUPERTINO, CALIFORNIA, 95014 FOREWORD To give you more computing power, your HP-35 works in a consistent and natural way that may be slightly differ- ent from previous calculators you have operated. So even if you are an old hand at using calculators, you will find it worthwhile to read this little book. Beginners, too, will find the step by step explanation easy to follow. SHIRT POCKET POWER Our object in developing the HP-35 was to give you a high precision portable electronic slide rule. We thought you'd like to have something only fictional heroes like James Bond, Walter Mitty or Dick Tracy are supposed to own. The HP-35 has far more computing power than previous pocket calculators. Its ten digit accuracy exceeds the precision to which most of the physical constants of the universe are known. It will handle numbers as small as 107-99 and up to 1099, and automatically places the decimal point for you. It is the first pocket calculator to provide you with transcendental functions like logarithms and sines and cosines. The operational stack and the reverse ‘‘Polish’’ (Lukasiewicz) notation used in the HP-35 are the most efficient way known to computer science for evaluating mathematical expressions. The HP-35 was designed with you, the user, in mind. We spent as much time on the keyboard layout, on the choice of functions, and on the styling as we did on the electronics, The speed and convenience with which you can arrive at a solution to a problem is unparalleled, You will find that fewer mistakes occur when computations are easier to make. You will also find yourself performing calculations you did not do before. They fall into three categories: first, those calculations in your own field that were avoided in favor of an educated guess. The ability to perform complex calculations wherever you are and what- ever the situation will enhance your professional stature. The second category consists of calculations indirectly related to your profession — computing the return on an investment, reconciling your bank account, pursuing y our hobby with professional precision, etc, The last category contains those exploratory calculations that you do for fun. They arise when someone asks “Did you know... ?". For example, did you know that one cubic mile of air weighs more than 5 million tons? Did you know that a man running a 4-minute mile turns 100 yards in a little more than 13.6 seconds? Did you know that 355/113 is an excellent approxi- mation to 17? Why not check and see just how close 355/113 does approximate 7? Although the rest of this manual must be read, just between the two of us, you can’t hurt the calculator by sliding the power switch to ON and pressing a few keys. To check the approximation, key in 355, then press and key in the denominator, 113. Now press 8 to get the quotient. The approximation is now in the display. Let us now subtract the true value of 7 (to ten significant digits) from the approximation. Press 7 and ®& . 't’s closer than one would think (2.66 x 1077). To find the percent error, divide this difference by 7 and multiply by 100. ({7|, E} , 100, ). We now know that 355/113 approximates 7 to within 8.47 millionths of one percent. (It makes 22/7 look pretty sad.) Two final comments: @ it is easy to remember the approximation because it is made by duplicating the first three odd numbers and inserting a division sign in the middle: 113 J355; @ you have just evaluated the expression (355/113 - 7) X (100/7). Congratulations! By the way, switch the calculator off and put it away. (You are not supposed to know how to work it... yet). SECTION 1 SECTION y SECTIONS TABLE OF CONTENTS INSTANT ARITHMETIC SERIAL CALCULATIONS SUMS OF PRODUCTS PRODUCTS OF SUMS THE OPERATIONAL STACK SOME SIMPLE PROBLEMS POWERS OF NUMBERS PROBLEMS IN FINANCE BIG AND LITTLE NUMBERS NEGATIVE NUMBERS MORE MEMORY REARRANGING THE STACK LOGARITHMS AND TRIGONOMETRY OPERATING LIMITS ACCURACY OVERFLOW & UNDERFLOW SCIENTIFIC NOTATION IMPROPER CALCULATIONS TEMPERATURE RANGES BATTERY OPERATION RECHARGING / A.C. OPERATION BATTERY PACK REPLACEMENT ACCESSORIES STANDARD OPTIONAL SERVICING LOW POWER BLANK DISPLAY WARRANTY IN WARRANTY OUT OF WARRANTY SHIPPING INSTRUCTIONS SAMPLE PROBLEMS SOLUTIONS AN ALGORITHM Hewlett-Packard ships your HP-35 fully-assembled, with battery pack in place, and ready to operate. With the battery charger disconnected, slide the power switch to ON. You should see a zero and a decimal point displayed. If any other indication is present, see SERVICING, page 28. SECTION 1 INSTANT ARITHMETIC In the HP-35, arithmetic answers appear immediately after pressing a i—} or 3 key. Asin an adding machine, where the key adds the last entry to what- ever is already in the machine, and the i— |} key subtracts this last entry, so also, in the HP-35, the key multi- plies what's in the machine by the last entry and the =] key divides by the last entry. But at the start we've got to get the first number into the machine. To do this you key in the first number and press . Now key in the next number and then press /8. 808. Try these examples. It is not necessary to clear the machine between problems, but if you make an entry (CLEAR x) and enter the number mistake, press correctly. To add 3 to 12 To subtract 3 from 12 Press See Press See 1) 1. (4) 1. 2) oN (2) 12. EN’ u he 2 12. {3 Bo 3. 15. 9. To multiply 3 times 12 To divide 3 into 12 Press See Press See (4) 1. ‘cn 1, 2) 12. (2) 12. 12. xe (3) Be (3) 3; [x] 36. =| 4. Notice that in the four examples: @ Both numbers (operands) are in the machine before you press &3, &, or &. © Pressing the 3, &, or & key causes the addition, subtraction, multiplication or division to occur immediately and the result to be displayed. The key repeats the number displayed to a second internal register (a place that holds numbers). The display blinks to show you this has happened. When you now enter a new number, the HP-35 automatically clears the display of the old one. But if you wanted to double the old number, you don’t need to enter it again, just press after the . Or, if you wanted to square it, just press . Try these examples. To double 3 To square 3 Press See See 3. 3. 3% 6. AS SECTION 1 SERIAL CALCULATION Whenever a new number is entered after any calculation, the HP-35 performs an automatic before ac- cepting the new number. This means that the previous answer and the new entry are both in position for the next arithmetic operation. Examples: Find the sum of the Find the product of the first five odd numbers first five even numbers Press See Press See (4) 1. (2, 2. c = (3) 3. [4] 4. 4. [x] 8. (5) 5. (6) 6 9. 48. (7) 7 (8) 8 16. 384. (9) 9 (1) (0) 10. 25. 3840. lf you were calculating ((2 + 3)/4 + 5)e6 by hand, you would first add 2 and 3, then divide the sum by 4, add 5 to the quotient and finally multiply by 6. This is exactly what you do on the HP-35: {(2 + 3)/4 + 5)*6 Press See Comments (2) 2. 2. ky 3. 5. Add 2 and 3 4) 4. =] 1.25 Divide the sum by 4 (s 5. 6:25 Add 5 to the quotient (6) 6. 37.5 Multiply by 6 SUMS OF PRODUCTS Suppose you sold 12 items at $1.58 each, 8 items at $2.67 each and 16 items at $0.54 each. The total sale price is (49 x 1.58) + (8 x 2.67) + (16 x 0.54) Your HP-35 lets you find the answer without writing down or storing intermediate results. Press See Comments 12 12. 12. 158 1.58 18.96 (12x 1.58) 8 8. 8. 2.67 2.67 1.36 {8 x 2.67) SECTION 1 40.32 (12x 1,58) + (8 x 2.67) 16 16. 16. 54 54 ix} 8.64 (16 x 0.54) 48.96 Total Sale Price Obviously, you can find the sum of any number of products this way. PRODUCT OF SUMS Problems like (7+3)¢(5+11)«(13+17) are done just like sums of products with all the and key strokes interchanged, Press See Comments 7 7 2. 3 3% 10. (743) 5 5. ENTERt 5. a) $12 16. (5+11) [x] 160. (7+3) (5+11) 13 a Re 13. 17 $35 30. (13417) Rees rx] 4800. — (7#3)0(6111)6(13417) THE OPERATIONAL STACK To do the last examples your HP-35 had to save some answers for future use. Let's see how it does this. There are four number registers in the HP-35, which we call the X, Y, Z and T registers. They are arranged in what is called a “’stack’’, X on the bottom and T on the top. The display always shows the number in the X register. OPERATIONAL STACK t ~<— T Register To avoid confusion be- z —— Z Register tween the name of a Y «— Y Register register and the number x ~-— X Register in it, we designate the register by a capital letter and the number NOTE by italics. Thus, X, ¥, 2 The X Register is and l are the contents always displayed of X, Y, Z and T. When you key in a number, it goes into the X register, which is the only one displayed. When you press , this number is repeated into the Y register. At the same time, the ¥ is moved up to Zand Zis moved up to T like this: _-* (LOST) When you press , X is added to y, and the whole stack drops to display the answer in X, The same thing happens fo &, and (J . Whenever the stack drops, ¢ is duplicated into T and Z, and Z drops to Y. SECTION 1 essen Zz Z i= y ee) y x—~ Yxx | yix ~~ x 8 Let us look at the contents of the stack as we do (3 x 4) + (5 x 6). The keys used are shown above the circled steps @ through ® . Directly above the keys you see the information in the X, Y, Z and T registers after the key stroke, (3 x 4)+(5 x 6) 12 12 ae 53 AZ SB 42 Bo SBS A ADS BS SBE S67. 30: AZ ky DEAEABEH BEA ser DOODOODHO®D x <NA STEP 3 in display (X Register) STEP 3 duplicated into Y Register STEP 4 in display STEP Product (12) formed in Y, then drops into X. Automatic pushes 12 into Y, dis- display shows 5, pushes y intoZ, X into Y, and leaves X unchanged. 6 in display Product (30) formed in Y, then Z and ¥ drop to Y and X STEP STEP STEP STEP @©2 © © S600 STEP © Sum (42) formed in Y then drops into X. SOME SIMPLE PROBLEMS Calculations that involve only one number are easier than the problems you've already done. You just key the number (x) into the HP-35 and press the key that does what you want done. Let’s try some examples: {a) Square Root of 49 Press See 4 4. (9) 49. ie (b) Reciprocal of 25 Press See (2) 2. 25. . 04 The X on the and key means the answer will be the square root or reciprocal of X, that is, of the contents of the displayed X register. This can be the answer from a previous calculation. (c} Hypotenuse of a right triangle of sides 3, 4. We wish to compute y/3? + 4? Press See (3) 3 : 9. 4 4 16. 25. SECTION 1 (d) Find the area of a circle with a 3 foot radius, i.e., A= TR? with R = 3 feet. Press See {3) Se 3. 9. (7) 3. 141592654 [x] 28.27433389 POWERS OF NUMBERS. We have already seen how to square a number and to take its reciprocal, that is, how to find x and Xx” : . The key lets you find any power of a positive number. Sup- pose you want to find 2x2x2x2x2x2x2 = 27. In most calculators you'd have to do all six multiplications. Here's how you do it with the HP-35: Press See Comments 7) ie Enter the power, ¥. 7. Put itin Y |2| 1S Enter the number, X. 128. Take 27 The power (¥) does not have to be a whole number; it can be any number. The HP-35 performs x’ with an internal program using logarithms and the answers are not always exact to the last decimal place (see Accuracy page 21). For example, a/s . 4, but if you key [2] (3) | you get 3.999999999. Call it 4; the error is .000000001, or only one billionth! 10 PROBLEMS IN FINANCE \f you deposited one dollar at 5% interest compounded annually, how much would you have at the end of 17 yeast, Value = (1 + Rate) Years Press See Comments 7 4 IS Be Number of years 17. 1,05 1.05 1 + interest rate 2.292018319 Amountafter 17 years ($2.29) In 1965 a company had gross sales of $926 million. By 1972 the sales had increased to $1.37 Billion. What is the growth rate compounded annually? Final Sales \ 1/¥®ars it Rate = Initial Sales Press See Comments 1972 1972. 1972. 1965 1965. i—] Li Years 2: . 1428571429 Reciprocal of period 1.37 9 Bheeas 09 1,37 billion 1,37 09 926 6 926. 06 926 million =] 1.479481641 1.057551118 Annual growth rate = 5.7551118% SECTION 1 L1nsa¥ S 8 eg soot [ose t —& S00 0000£ Aa» 98'6L| SEES" POSSI" S2ZO'9' SOO"! “OSE ‘O9E “C1 “OS! S00" “OO00E ‘ooO0e x ost OSL L t ose o9¢ | 1 OSI 0000€ 0000e A ost ost ost ost LL Ost ost z OSL OSL OS! ost OSI ost 1 [os (00°) / i]t 00° x O00'0E [s:uswa[g(®24 ysasaguy Ajypuoyy + vi] Sk = luawAeg Ajyuoyy u ayy isasaluy ApyrUOW x jedro 4d “(yjuow/SO0") %9 JO 1salayU! jenuUe Ue BujAey ued) QOO'OESS ‘(quawAed Q9E) 128A OS & vO JuauiAed AjylUOW ay Puly 11 12 BiG AND LITTLE NUMBERS Suppose you square 987654 by pressing 987654 . The result you see is 9.754604237 14 This is the way the HP-35 displays numbers above ten billion. The number is read as 9.754604237 x 10". This way of writing numbers is known as “‘scientific notation”. Don’t let it scare you: the 11 means “move the decimal point 11 places to the right’ like this: 975,460,423,700. t Now press . You will see 1.025156916-12 which is read 1,025156916 x 10°'?. The -12 tells you to move the decimal point 12 places to the left. peepee Haat BEa 6 Numbers larger than 10'° or smatier than 1077 are auto- matically displayed in scientific notation. You can enter numbers in scientific notation by using the (ENTER EXPONENT) key. To enter 15.6 tril- lion (15.6 x 10!*): Press See {y 4S [5 15. =| 8, SECTION 1 15.6 15.6 00 15.6 01 (2) 15.6 12 You can save time when entering exact powers of ten simply by pressing and then the desired power of ten, Before doing an example, press to terminate the previous example. Now, to enter one million (10°): Press See 1. 00 {6} 5B 06 To enter negative powers of ten, press (Change Sign} after pressing and either before or after keying in the power of ten, To enter the mass of an electron, which is 9.109 x 1073! kilograms, first press (MEY to terminate the previous example, then: Press See 9) 9. [e] 9. 1] 9.1 [o) 9.10 ‘9] 9.109 9.109 00 9.109 -00 {3} 9.109 -03 t 9.109 =341 14 NEGATIVE NUMBERS The key does more than enter negative powers of ten. In fact, its primary uses are for entering negative numbers and changing the sign of a computed result. Example: In computing the product (-3)(- 4)(-5)(-6), you will see that the can be used either before or after the number. Since you didn’t use the number from the previous example, press to get rid of it. See Comments =0. used before 3 Sa ae -3 Se GIB used before 4 =4. a (-3)(-4) = 12 BX CH S =5 used after 5 -60. (-3)-4)(-5) = -60 (6) 6. <6: used after 6 360. {-3}(-4-5)(-6) = 360 TRAILING ZEROS Trailing zeros to the right of the decimal point are blanked out, automatically. SECTION 1 MORE MEMORY Your HP-35 has an additional memory register for storing constants. It is not affected by computations, However, a keyboard entry or immediately following does not raise the stack, Example: To find what percentage each of the first five odd numbers is of their total, first add 1, 3, 5, 7 and 9, then press (STORE) to store the sum (25) in memory, The individual entries may now be divided by the stored number sim- ply by pressing (RECALL) and then &: Press See Comments (2) (5) 25. (Key in 25 if not already there) 26. STORE sum in memory \1 1 First number 25 RECALL sum @ 04 4% of total (3 3 R 25. i=] 12 12% of total (5) 6. RCL 25 B 2 20% of total (7 7. Ri 25. & -28 28% of total (9) 9. 25. i=] 36 36% of total 15 REARRANGING THE STACK The (ROLL DOWN) key lets you review the stack contents without losing data. It is also used to reposition data within the stack. Here is what happens each time you press [EY Example: Load the stack by pressing(1! (2) (3) 4). (The stack now contains X=4, V~3, 2-2, and t=1). To review the contents of the stack press (JJ four times. The fourth {GEM returns the stack to its original position (X=4, y=3, Z=2 and +1). NOTE: Pressing after entering a series of digits to form a number terminates the composition of the number {i-e., no additional digits can be appended}. NOTE: The stack is raised and ¢ is lost when a keyboard entry or follows < You will often find that X and ¥ should be exchanged before a, & or operation. The exchanges X and as shown below. a key Example: Find </512. Press See Comment 5|'1. (2) 542 SECTION 1 512. 9} 9. -1171111111) xand ¥ are in wrong order 512. X and ¥ are in right order 2. LOGARITHMS AND TRIGONOMETRY You use the logarithmic and trigonometric functions the same way you use x. | and , the number in Xis replaced by the function requested like this: where F(X) is FOOTIE i y -Y WX, 1/X, log X, $ In X, or e& x — tx) —= X In the case of trigonometric functions, Z replaces © (The T register is used when computing trigonometric functions.) > (LOST) foe rere t te) waite | fe ey cos X, tan X, arc sin X, arc cos X, or arc tan X. X — f(x) —» X Your HP-35 computes both natural logarithms ( Qj is tog.) and common logarithms ( (RRB is !og;9)- Natural antilogarithms, antilog, X - e*, are formed with the key; common antilogarithms, antilog, y X = 10% are formed with the key. Example: To find antilog,, 2, press {2) { to read 100, 17 18 Although logarithms were originally used to speed multi- plication and division, they have particular significance in scientific and engineering problems, There is, for example, a logarithmic relationship between altitude and barometric pressure. Suppose you wish to use an ordinary barometer as an altimeter, After measuring the sea level pressure (30 inches of mercury) you climb until the barometer in- dicates 9.4 inches of mercury. How high are you? Although the exact relationship of pressure and altitude is a function of many factors, a reasonable approximation is given by: Altitude (feet) = 25,000 In Pressure Press See Comments 25000 25000. 25000. 30. 30. 9.4 9.4 Pressure at altitude a 3.191489362 1..160487693 29012.19233 Altitude {We suspect that you may be on Mt. Everest (29,028 feet)] Your HP-35 computes trigonometric functions of angles measured in degrees and decimal fractions of a degree. Example: Find sin 30.5 ,cos 150°, tan -25.6 . Press See Comments 305 30.5 .5075383628 sin 30.5" 25.6 150. ~. 8660254041 . 8660254041 cot Ss eae) -, 4791197214 cos 150 SECTION 1 tan -25.6 Inverse trigonometric functions are computed by preced- ing the desired trigonometric keys with the key. Answers are returned in decimal degrees. Example: Find arc sin .3, arc cos -.7, arc tan 10.2 Press See a 17.45760312 17.45760312 saps aay f 134.427004 10.2 10.2 84.40066068 Comments ARCsin 3 ARC cos ~.7 ARC tan 10.2 _ 19 20 Many times it is necessary to convert data to a form acceptable to a given algorithm as in the following example: Example: Convert 35° 17' 47"' to decimal degrees. Press See [3)'5) 35. 35 (V7) 47. 12s 4\'7 47. a 47. 6/0! 60. 60. i=} 7833333333 17.78333333 60. 2963888888 &o @ 3 35.29638889 Comment Degrees Minutes Seconds Computation constant Decimal degrees You now know all of the basic facts about operating your HP-35. However you may find the flow chart on page 34 interesting. 11 describes a procedure {an algorithm) that will allow you to evaluate any expression on a calculator like your HP-35, that uses an operational stack and Luka- siewicz notation. SECTION ) OPERATING LIMITS ACCURACY The accuracy of the HP-35 depends on the operation being performed. Elementary operations such as add, sub- tract, multiply, divide, reciprocal, and square root have a maximum error of + one count in the tenth (least signifi- cant) digit. Errors in these operations are caused by rounding answers to the tenth (least significant) digit. An example of round off error is seen when evaluating (\/5)?. Rounding V5 to 10 significant digits gives 2.236067977. Squaring this number gives the 19 digit product 4.999999997764872529. Rounding the square to 10 digits gives 4.999999998. If the next larger approxi- mation (2.236067978) is squared, the result is 5.000000002237008484. Rounding this number to 10 significant digits gives 5.000000002. There simply is no ten digit number whose square is 5.000000000. The accuracy of the remaining operations (trigonometric, logarithmic and exponential} depends upon the argument. The answer that is displayed will be the correct value for an input argument within +N counts in the tenth least significant digit of the original input argument. Values for N are: OPERATION VALUE OF N- log X, In X, and ex 2 trigonometric 3 x 4 for X, and 7 for y 21 Logarithmic operations have an additional limitation of =3 in the 10th decimal (least significant) digit in the displayed answer. Trigonometric operations have an additional accuracy limitation of +1 x 107°? in the displayed answer. Example: Your HP-35 shows that In 5 = 1,609437912. The accuracy statement says that 1.609437912 is the natural logarithm of a number between 4.999999998 and 5.000000002. OVERFLOW AND UNDERFLOW Any computation or data entry resulting in a magnitude equal to or greater than Ey hohe causes 9.999999999 99 to be displayed. Computations or data entries having a magnitude less than 10°?” are displayed as zero. SCIENTIFIC NOTATION Answers greater than 10'° and smaller than 107? are displayed in scientific notation. IMPROPER CALCULATIONS If you attempt an improper calculation such as by zero, a blinking zero appears. To reset, press following operations are improper. The ® Division by zero © Square root of a negative number ® in X, log Xor 0’, where SO ® arc sin Xor arc cos X, where |x| >1 SECTION 2 CAUTION Calculator can be damaged by stalic charge TEMPERATURE RANGES OPERATING: 0° to +40°C (32°F to 104°F) CHARGING: +10" to +40.C (50°F to 104°F) STORAGE: -40 to +55 C {-40°F to 131°F) BATTERY OPERATION The battery provides three to five hours of continuous operation. By turning off the power when the calculator is not in immediate use, the HP-35 battery power will easily last throughout a normal working day. All decimal points but one light in the display when 2 to 5 minutes of operation time remain in the battery pack. Even when the extra decimal points are turned on, the true decimal position is known because an entire digit position is allocated to the true decimal position, Example: Operating the calculator for more than 2 to 5 minutes after this low power indication first occurs may result in wrong answers. The battery pack must be recharged by connecting the HP-35 to the battery charger. 23 NOTE The HP-35 should be turned off before plugging in the charger. It can be turned on again after the charger is plugged into the power outlet. The calculator can be used during the charging cycle. The HP-35 can be operated continuously from the ac line if desired. There is no danger of overcharging the battery. RECHARGING AND AC LINE OPERATION CAUTION To prevent damage, the position of the line vollage select swilch on the baltery charger must be set to the proper line vollage. 1. Make sure that the power switch is OFF. 2. Insert battery charger plug into the rear connector 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 that a zero and a decimal point are displayed. IMPORTANT The HP-35 will not operate when connected to the recharger unless the recharger is con- nected lo a live power outlet. 5. Slide power switch to OFF if you don’t want to use the calculator while it is charging. SECTION 2 NOTE After 14 hours, a completely discharged battery will be fully charged. Shorter charge periods will allow reduced battery operating time. There is no danger of overcharge. For convenience, overnight charging is recommended. 6. Atend of the charging period, you may continue using your HP-35 with ac power or proceed to next step for de power operation. 7. With the power switch at OFF, disconnect battery charger from power receptacle. 8. Disconnect battery charger from HP-35. NOTE Temporary degradation, peculiar to nickel-cadmium bat- teries, may cause a decrease in the operating period of the battery pack. Should this happen turn the HP-35 on for at least five hours to completely discharge the batteries. Then put it on charge for at least 14 hours. This should correct the temporary degradation, if the battery pack won't hold a charge, it may be defective. 1f the warranty is in effect, return the pack to Hewlett-Packard according to the instructions on page 29. If the battery pack is out of warranty, use the accessory order card in the back cover pocket of this manual to order a new battery. NOTE Use only the HP rechargeable Model 82001A Battery Pack which has been tested and is warranted for one year. You can use your HP-35 on ac power until the replace- ment battery pack arrives. 25 BATTERY PACK REPLACEMENT 1. Turn power switch to OFF and disconnect the battery charger. 2. Slide the two battery-door latches {the top feet) toward middle of calculator. 3. Let battery door and battery pack fall into palm of hand. 4. See if the battery connector springs have been inad- vertently flattened inward in calculator. If so, bend them outward and try the battery again. 5, Insert the battery pack with its gold contacts facing the calculator so that contact is made with battery connectors. 6. Insert the bottom of the battery door behind the retaining groove and close the door. 7. Gently press the battery door closed while sliding the two battery-door latches outward. NOTE If you use your HP-35 extensively in field work or during travel, you may want to order the Model 82004A Battery Holder and Pack. CAUTION Do not try to burn old batteries, They may explode! SECTION 2 ACCESSORIES STANDARD Your HP-35 comes complete with the following accessories: (To reorder, see the Order Card in the back cover pocket of this manual.) ACCESSORY MODEL/PART NO. Battery Pack 82001A Battery Charger/AC Adapter 82002A Safety Travel Case 82003A Soft leather Carrying Case 82005A Operating Manual 00035-90008 Four personalized labels 7120-2946 The personalized labels are provided for your con- venience. Type your name or other identification on each label and affix to calculator, battery charger, and safety travel case. OPTIONAL Other accessories for your HP-35 are specified on the Order Card in the back cover pocket of this manual, We will send you new Order Cards as additional optional accessories are added to our product line. The 82004A Battery Holder and Pack consists of a charging attachment and a spare battery pack so that one battery pack can charge while the other is in use. Optional accessories include: ACCESSORY MODEL/PART NO. Battery Holder and Pack 82004A Security Cradle 82007A Hard Leather Field Case 820064 27 SERVICING LOW POWER All decimal points light to warn you that you have a few minutes of operating time left. You must then either: @ operate from ac power @ charge the battery pack @ insert a fully charged battery pack BLANK DISPLAY A blank display while in battery operation means the: ®@ battery pack is discharged @ battery pack is not making contact ® calculator is defective To isolate the difficulty, try the following: 1. Examine the Battery Pack (see Replacement pro- cedure, page 26.) If display is still blank, proceed to next step. 2. Operate your HP-35 from ac line, page 24. If the display remains blank, the HP-35 is defective. See the Warranty section, below. WARRANTY IN WARRANTY The HP-35 is warranted against defects in materials and workmanship for one year from date of delivery. During the warranty period we will repair or replace components that prove to be defective, provided they are returned to Hewlett-Packard (see Shipping Instructions). No other warranty is expressed or implied. We are not liable for consequential damage. SECTION 2 OUT OF WARRANTY Beyond the one (1) year period, your calculator will be repaired for a current fixed price of $40.00 (U.S. only), plus applicable State and Local Taxes. Return the HP-35 along with all standard accessories (see Shipping Instruc- tions}. If only the battery pack is defective, simply order a replacement {see Order Card in the back cover pocket of this manual). SHIPPING INSTRUCTIONS Malfunctions traced to the calculator or battery charger require that you return to us: 1. Your HP-35 with all standard accessories in its safety travel case. 2. A completed Service Card (from back cover pocket of this manual). If a battery pack is defective and within warranty, return to us: 1. only the defective battery pack 2. a completed Service Card (from back cover pocket of this manual) Send returned items safely packaged to the address listed ‘on the Service Card. Call the applicable service phone number on the Service Card, or Advanced Products Di: 408-996-0100. sion, Customer Service: Under normal conditions, your calculator will be repaired and reshipped within two days of receipt at this address. 30 SAMPLE PROBLEMS Use the following sample problems to test your skill with the HP-35. Refer to Solutions, page 32, for correct answers and preferred methods of calculations. 1. (3 x 4) + (5 x 6) + (7 x 8) 2, (3 + 4)(5 + 6)(7 + 8) 3. Axo 2) (= + Bet) "3x1 2+ 4 1 4. 1/3 + 1/6 5. 3+1 7+ 15+1 1 1+ 599 6. GOare cos (cos 45° cos 150° + sin 45° sin 150° cos 60°) NOTE The solutions to the following problems do not require multiple entries of the same data: SECTION 3 fe R ae if a. R=5, @=30°. Find x, y (x= Reos 0; y =x tan@) b. x= 4,y=3. Find R,@ (8 = arctan (y/x); R= y/sin@) 8. Convert the following to centimeters: a. 53" 37” 24” 36" apg 9. Compute the annual rate of return {after taxes) of an investment held for 6-1/2 months when Tax Rate = 35% Buy Price = $2341 Sell Price = $2672 RETURN = (SELL - BUY)(1 - TAX), 12 BUY HOLD DURATION x 100 31 32 SOLUTIONS 1. Answer: 98. BH4 Bs Ole BE788 Answer: 1155. ISHARES BE BeE7eaegea Answer: 26.90641536 Seen eae ae Os Answer: 2 3) 08 |g oo Answer: 3.141592653 oo El Answer: 6949.392474 (4) (5) GES 1) (5) (0) GS 3 (4) 5) 1) 5) (0 Bi & (6) (0) &y 6] (0] SECTION 3 7. a. Answers: X= 433012702 (5) x} E-value ofy=2.5 SESS value of x = 4.33012702 b. Answers: 0 = 36.86989764 R = 5.000000003 Ltan] Nee ue orbs 36.86989764 Answer: 160.02 b. Answer: 93.98 (3) (7) c. Answer: (2) 4) d. Answi 3) (6 9. Answer: 16.96710808 (2) (6) (7) (2) @ (2) (3) { 1+ BEBE e — Bx ec “) (5) & (0) (0) & 33 AN ALGORITHM The flow chart shown below allows you to evaluate any expression on a calculator, like your HP-35, that uses an operational stack and Lukasiewicz notation, Although the general solution requires an operational stack of un. limited length, the four register stack in your HP-35 is adequate for most practical problems, Before using the algorithm, write your expression in serial form i.e, write it as if it were to be sent over the teletype, All expressions can be written in serial form, For example: 2 Seas + e uAP becomes 2/{3 + 1/2) FLOWCHART BOX IDENTIFIER KEY IN NEXT NUMBER CAN YOU PERFORM ANY ONE NUMBER" OPERATION * You may omit this step if you've done any operation on the last number entered. ®™ One number {Monadic) operations are things like ta etc. & Two number (Diadic) operations are things like ; 34 - “a SECTION 3 Use the algorithm to solve (3-4) log (25/7 +9) + 6) According to our algorithm, the solution can be obtained for any expression by entering the numbers in the order in which they occur, i.e., 3, 4, 25, 7, 9 and 6. Press Flowchart Box 3) ce ® ENTERt a. © (4) 4. ® + 7. © . 7. © (2)(6) 25. ® ENTER! 25, © (7) a ® 7. © (9) 9. ® 16 © 4. ix} 100. © 2 © ® © © 6 56. * You may omit these steps because your HP-35 performs an automatic for you. 35 ( . . Service Information Must be completed and returned with your Calculator or Battery Pack. Owner's Name Street Address City State Zip Date ( ) ) Home Phone Business Phone Serial No. Model No. Was your calculator received defective? Yes CJ No LC] Describe problem: 9320-1680 Rev. 5/73 Service Card Refer to pages 23, 24, and 25 of your Operating Manual fo diagnose a failure with your calculator. Should service be required, please return your safety travel case with calculator, charger, batteries, and service card en- closed. Please ensure that the case is pro- tectively packed to avoid in-transit damage to your calculator. Such damage would not be covered by warranty. If your battery alone is defective, there is no need to return the carrying case, calculator, or charger. Re- turn the battery effectively wrapped. We advise that you insure your shipment Send returned items safely packaged to: HEWLETT-1 PACKARD co. HEWLETT-PACKARD CO. 28234 Phone 201/265-501 100 HEWLETT-PACKARD CO. HEWLETT-PACKARD CO 5500 W. Howard Street 201 E. Arapaho Road Skokie, IL 6007 Richardson, TX 75080 Phone 312/67 Phone 214/231-6101 HEWLETT-PACKARD CO. HEWLETT-PACKARD CO. 333 Logue Avenue 1430 E. Orangethorpe Mt. View, CA 94040 Fullerton, CA 92631 Phone 415/968-9200 Phone 714/870-1000 If outside the U.S., please contact the Hewlett-Pack- ard Sales and Service Office nearest you for shipping instructions Your pocket calculator will normally be serviced and shipped prepaid within 2 working days of receipt at the above addresses. Should other questions arise regarding service, please call the above telephone numbers and ask for Customer Service. ef Service Information | | newiers BN packanp For Additional Sales and Service Information Con- tact Your Local Hewlett-Packard Sales Office or Call 408/996-0100 (Ask for Calculator Customer Service). (00952.90008 Ray. 8/73, Printed in USA,