Sharp EL-512, Instruction Manual

Page 1: ...SCIENTIFIC CALCULATOR MODEL INSTRUCTION MANUAL ...

Page 2: ...purchaser to have the warranted parts and labor rendered at no cost for the period of the warranty described above when the unit is carried or shipped prepaid to a SHARP CONSUMER FACTORY SERVICE CENTER together with proof of purchase j THIS SHALL BE THE EXCLUSIVE WRITTEN WARRANTY OF THE ORIGINAL PURCHASER AND NEITHER THIS WARRANTY NOR ANY OTHER WARRANTY EXPRESSED OR IMPLIED SHALL EXTEND BEYOND THE...

Page 3: ...s 15 Applications MULTIPLES STORAGE MEMORIES STATISTICAL CALC U LATIO N 1 One variable statistical calculation 2 Single Variable Statistics 3 Two Variable Statistics and Linear Regression Page 23 24 25 25 26 26 27 27 27 28 29 31 34 36 41 41 43 45 2 Page MULTIPLE FORMULA RESERVE 48 1 Basic programming 2 How to store a formula 4g 3 How to use a formula 50 4 How to clear a formula gi THE KEYBOARD 61 ...

Page 4: ...not put your EL 512 in your back pocket as it may be damaged when you sit down 4 To insure trouble free operation o f your SHARP calculator we recommend the following 1 The calculator should be kept in areas free from extreme temperature changes moisture and dust During warm weather vehicles left in direct sun light are subject to high temperature build up Prolonged exposure to high temperature ma...

Page 5: ...imum capacity of the memory is 128 steps 3 Multiple Storage Memories 9 Nine storage memories for storing constants and results Independently accessible 3 key memory with RM and M keys 6 4 Hexadecimal Decimal notation conversions Hexadecimal notation system is mainly used in computer programming Computer engineers and programmers have been in urgent need for a simple conversion of decimal and hexad...

Page 6: ...CLEARING 8 An incorrectly entered number can be replaced as long as the number has not already been followed by a function key Por example Key in 5 X 4 The 4 should be 6 Key in c Te g Answer 30 To clear the latest entry press the key once If the key is pressed twice the calculator will be completely cleared except for material in memory All previous calcu lations will be cleared if the cT key is p...

Page 7: ...wer 30 Key in 60 Answer 80 10 Some calculations require slightly longer time depending on the contents If nothing appears on the display during calculation do not continue making entries To use the sum of numbers as a constant use ED and EO keys Key in 10 DD 20 S 5 XI Answer 35 Key in 4 m Answer 29 Key in 100 ED 25 D Answer 75 Key in 40 G Answer 15 Key in 50 ED CD 10 ED 2 I 1 Answer 42 Key in 20 A...

Page 8: ...tant for constant calculation respectively a b x c bc Constant addition a x b c T C Constant division a b x c a x b Constant multiplication a x b c c Constant subtraction 3 Use of parenthesis The parentheses keys are needed to cluster together a series of operations when it is necessary to override the priority system of algebra When parentheses are in use on the EL 512 the symbol will appear in t...

Page 9: ...n 30 24 x 5 3 5 L 2 X 3 0 frtof f 1 24 xl 5 fjff 3 f 1 Level 1 2 3 4 5 6 Operations pr S ingle variable fu n c tio n s w h ic h are ca lcu la te d as entered lik e sin In 1 0 Vl 5 1 x x 2 M u ltip lic a tio n cleared o f x in s tru c tio n located ju s t before storage m e m o ry or u such as 2tr 4 K r M u ltip lic a tio n cleared o f x in s tru c tio n lo cated ju s t before the oper num bers T 6...

Page 10: ...th e yx pressed 3 c a lc u la tio n s rem ain p e n d in g Pressing th e QT key executes th e c a lc u la tio n s o f y x h ig h e st in p r io r ity level and x id e n tic a l in p r io r ity level A fte r th e C B k e y is pressed th e o th e r 2 c a lc u la tio n s w ill re m ain p e n d in g C a lc u la tio n w ith o u t using parentheses E x a b P ending o f 1 level a r l b X I c I l P ending...

Page 11: ...432 2 0 5 f x l m 2 f f l 3 m f 1 2s x 2 3 2s x 5 160 W A 4 Memory Calculations The independently accessible memory is indicated by the three keys 0 0 w Before starting a calculation clear the memory by pressing c e and l Key in 12 CD 5 I0EI Answer 17 To subtract key in 2 f 1 5 f 1 I H M Answer to this equation 7 Key in 0 to recall memory 10 Kevin 12 X 2 S Answer 24 Replaces previous amount stored...

Page 12: ...elow each keyl re Second function Use the key rf Example 1 FTI _ _ 1 nzxy First function Press the Q j key The material appearing below each key is used at the statistic calculation mode Second function Use the nf key First function Press the Q key iw 20 2 r r B m Right side Hexadecimal number Press the 2niJ fflj keys at the normal calculation mode Left side Statistical calculation key Press the a...

Page 13: ...ce a number into the calculator in scientific notation you must use th exp key if you wish to convert from floating decimal to scientific notation you mus use the key m 22 Calculate 1 2 x 102 x 1 5 x 10s Key in 12 20 E 1 5 5 1 Answer 1 8 25 1 8 x 102S Calculate 1 992 x 103 3 x 6 668 x 10 23 Key in 1 992 0 33 X 6 668 S 23 H HD Answer 1 3282656 11 1 3282656 x 10u if a calculation is displayed in the...

Page 14: ... 1 Put the angular mode at R A D T o enter a negative number press the 0a Key in 1 jA key after numerals Answer 3 141592654 Value of i t 5 Hyperbolic and inverse Hyperbolic Functions When using the hyperbolic and arc hyperbolic functions H Y P will appear in the lower part of the display Calculate Sinh 4 Key in 4 hyp sin Calculate Answer 27 2899172 Sinh 1 9 Key in 9 2rSj fc h yp fifa Answer 2 8934...

Page 15: ...garithms Key in 173 log Answer 2 238046103 9 0 Exponential Functions Calculate e3 0445 Key in Answer Calculate Key in Answer Reciprocals Calculate Key in Answer 3 0445 S g 20 99952881 21 as in item 8 above 1 Q 2 2 3 8 2 238 2 ncF 5og 172 9816359 173 as in item 8 above 1 6 1 7 6 S S 7 g t a 0 30952381 1 Factorial Calculate 69 Key in 69 2 ref fnTI Answer 1 7112245 98 1 7112245 x 1098 Mote that the E...

Page 16: ...56 to its degree minute second equivalent Keyin 24 7256 2 nS H Answer 24 433216 or 24 43 32 A horse has track times of 2 minutes 25 seconds 2 minutes 38 seconds and 2 minute 22 seconds What is the average running time Key in 0225 ES 0238 ESj EB 0222 Ede dO Answer 1 0 123611111 Key in T1 3 f 1 Answer 2 0 041203704 Key in jij Answer 3 0 022833333 or the average time is 2 minutes 28 Coordinate Conver...

Page 17: ...n 2ng HTl Answer 12 12435565 y In the above example Q is inputted first and is replaced with r 14 by pushing the 2rrf T keys after r is inputted Hexadecimal decimal notation conversions Hexadecimal system 0 1 2 3 4 5 6 1 8 9 Key in c s m sd t s m s m C B E Display n LI 1 1 j L Z J 5 C U n 1 e 0 J 1 0 11 12 13 14 15 Key in SEa S sms sms sms sms sms Display 0 1 L U r L a F F Example Convert 123 to i...

Page 18: ...the entered number to decimal and the decimal answer displayed Remarks Symbol H E X The symbol H E X appears when a hexadecimal answer is displayed Non operation 1 In the following case a conversion can not be performed and an error condition occurs When a number had a decimal and is not a zero in floating decimal system Ex 123 5 2n d F hex When a number exceeds 9999999999 Ex 3 xp 10 5 Sx 2 The he...

Page 19: ...wer is dis played in negative decimal number Applications Ex 1 Base conversion of logarithm logab a 3 b 124 log a 124 l og m 3 flog f 4 387609364 Ex 2 Calculates the surface and the volume of the sphere S 4 irr2 V J 7 T J 3 Radius r 12 cm 4 m m t s 12 m 1809 557368 S 12 0 3 f l 4 EB 3 G 7238 229474 V x 3 Cosine theorem c V a2 b2 2ab cos 0 a 14 7 cm b 17 8 cm 6 43 32 54 Calculates the length c DEG ...

Page 20: ...n 12 X 5 tfj t Kn T Answer 60 Contents of Memory K j Note The Kn key preceded by the sto key can be omitted Key in 300 Kn T f 1 st Y Answer 5 Contents of Memory K2 36 Key in H D K n T T l l E n 3 S i 3 In case the cjci key is not used the contents of the Kj memory is auto matically multiplied by the displayed number 5 when the T key is depressed Answer 12 Contents of Memory K3 Keyin S Kn T Kn T Kn...

Page 21: ...t R 8 2054 x 10 K6 Light Velocity of Vacuum C 2 99792 x 108 K Elementary Electric Charge e 1 60219 x 10 1 9 For example 8 85419 12 B g S I 8 2054 S 2 S a3 IstoI l 5l 2 99792 IexpI 8 M f6 1 60219 dEE 19 S 3 E Each storage memory operates as a multiplier and storage memories can be automatical multiplied against each other d 1c q2 3 c r 4m 4rre0 r 2 1 I S 3 GE 4 x3 J CO 4 7C Kn 4 7 Answer 1685165545...

Page 22: ...displayed press fcrf lrn keys and then press Sf sig I purchase getting 60 Kn 10 liters of gasoline and drive 60 miles How many kilometers gallon am To clear previous statistical inputs and calculations press 2ng and jsgjj keys Set the mode by pressing 2ncg sw keys again 9 l m 10 Sol 8 Answer 36 5514282 kilometers gallon eset of the statistical calculation mode can be made by 2ra iF and sw keys Not...

Page 23: ...d a t a when two or more of the same data are inputted Note When the statistical calculations mode is set the followings can not be performed i Memory calculation with an independently accessible memory and storage memories K8 and K9 ii Coordinate conversion iii Calculation including parenthesis iv Hexadecimal decimal conversion The followings can be used as the input data in statistical calculati...

Page 24: ... Regression there are three important values r a and b The correlation coefficient r shows the relationship between two variables for a particular sample The value of r is between 1 and 1 If r equals 1 or 1 all points on the correla tion diagram are on a line The further the value of r is from 1 and 1 the less the points are massing about the line and the less reliable is the correlation If r is m...

Page 25: ...t No n Mark in Math X Mark in English Y 1 82 79 2 53 50 3 61 87 4 74 96 5 51 73 6 51 73 Key in Display 82 79 daw 1 53 s 50 d aw 2 61 87 d a t a 3 74 s 96 d aw 4 51 73 x 2 d aw 6 Note to input multiple identical s i s 571587901 samples proceed as indicated s 34 26190476 s t s 678571429 value of r of 57 indicates that the correlation is marginal The equation for the straight line for this data is Y ...

Page 26: ... stored 8H After formula number is designated pressing this key will produce the variable for which a value needs to place in the calculator After all value have been inputted pressing c o m p results in the answer ag restarts calculations after the 2 g l o o k have been used W To enter variables in a formula in the LEARN MODE The variable symbol is displayed with the number of the variable as ent...

Page 27: ...S I S 3 x I S 3 HOW TO USE A FORMULA Procedure Q Make sure that the symbol 033 or EHsH is not displayed If the symbol 1333 or m a is displayed depress the S D m or sig keys respectively 50 Depress the formula designation key The symbol 9 is displayed to show the designated formula number and the calculation is started In case of above example 1 Solution Press CU Display 1 Key in 20 Press U 2 Key i...

Page 28: ... in memori 2nF Il q q k I To display intermediate answer 1 g g X 1 Answer 3 141592654 Formula 2 Automatic Incrementing To solve a formula in which the variable is increased by the same amount each time it is not necessary to place a value in the equation for each solu tion Place the amount to be incremented in Memory and each time S p is pressed the value of X will be automatically increased by th...

Page 29: ...e list price are offered They 35 3 2 Calculate the final price for a series of prices starting at and increasing by increments of 10 The equivalent discount is 1 first discount x 1 second discount x 1 third discount Procedure 2 n d F j 4p 0 m D3 D 10 M 65 3 97 X 98 X I S I 3 Answer 6 1789 2 n dF LR N Solution Formula 1 PHI 2 W It o w p Answer Answer 12 56637061 12 56637061 18 84955592 28 27433388 ...

Page 30: ...8 f 3 Formula 3 S E 10 a 12 Icaj 30 S Case B answer a 6 01281158 Formula 4 0 E l s a n Next press cow to get the final discounted price for each increment Retail Price Discounted Price 10 6 1789 20 12 3578 30 18 5367 40 24 7156 50 30 8945 60 37 0734 70 43 2523 80 49 4312 90 55 6101 100 61 789 ...

Page 31: ...s used in the preceding examples were No of Steps 1 Example 1 11 2 Example 2 Formula 1 14 Formula 2 14 Formula 3 21 Formula 4 18 The following keys does not count up as program step fQ 9 T exp Ecl r g or jA key located just after the T S T key Example of step Number o f step 0 1 2 limp LR W 3 t yp H I m H E 2m P Isinl 2ncF sin CB B s i n Kn T e 3 ...

Page 32: ...error symbol E is displayed depress the c Te J key to clear the errol conditions For example When the non stored formula key is depressed or when the kel is depressed before operating the 33 23 3 or 3 3 3 keys THE KEYBOARD l 3HSSn S 3S s sin cos 1tarr1 s W H ta j5 H off T A B S S T O m s 71 S 3 c s L O O K ms D M S S 3 r B 3 3 4 3311 3 e m n vx g H 3 Z 3 s 10 iogl re m n r TY irc h y p irypl S3 xy...

Page 33: ...orage in the formula reserve memory can be designated 1 1 cleared using the i5 lrn keys 62 POWER ON Power on and clear clear entry key When this key is depressed the calculator is turned on Clear entry Push once during a calculation and the last entry is cleared 123 455 S 456 579 Clear When pushed twice during operation it clears the calculator except for the memory Note When the formula is design...

Page 34: ...C Q M P Compute and learn key B This key is used to restart a calculation which is temporarily inter rupted due to entry of a variable or a display of an intermediate result 2ndF j lrn Set or reset the EL 512 at the LEARN mode archyp tan 1 Hyperbolic arc hyperbolic key Example Refer to page 25 Trigonometric inverse trigonometric function key Example Refer to page 24 l o o k Refer to page 49 tan 3 ...

Page 35: ... the logarithm base e e 2 718281828 Example Refer to page 26 axil fe l Calculates the antilogarithm base e of the displayed number Example Refer to page 27 66 10 fiog Common logarithm antiSogarithm key f Q 9l Used to obtain the logarithm with the base of 10 Example Refer to page 26 Calculates the antilogarithm with the base of 10 Example Refer to page 27 Storage memory exchange key Bn Example Refe...

Page 36: ...Y x key y Raises a number to a power ag gj Calculates the Xth root of Y Example Refer to page 25 and 26 68 3V I T Square root cube root key fijF Calculates the square root of the number displayed Example Refer to page 26 Calculates the cube root of the number displayed Example Refer to page 26 Square reciprocal key S l Calculates a square of the number displayed Example Refer to page 25 S i S Calc...

Page 37: ...ta Data y Example Refer to page 13 23 RM Recall memory statistical calculation key 2rtF Rcyi Converts polar coordinate into rectangular coordinate xy rm Displays the contents of the memory The contents of the memory Example Refer to page 30 remain unchanged after this key operation When the statistical calculations mode is set When the statistical mode is set Izisl Used to obtain the sum of data E...

Page 38: ...four arithmetic calculations x t fy and Y x calculations X A Gy Q j Numeral and statistical calculations keys Used to enter numbers Hexadecimal entry 0 9 P5 l F9l 1 0 1 5 3 S a S IM When the statistical mode is set W Used to obtain the estimated value of x r Used to obtain the correlation coefficient in two variable statistical calculation a1 Used to obtain the constant a of the linear regression ...

Page 39: ...stical calculation mode Used to obtain the estimated value of y D e c im a l p o in t and D e g re e R a d ia n G ra d s e le c tio n k e y f l Example 12 3 QD 3D ZD 3D 0 7 H SD 2rtF RG Used for calculation of trigonometric inverse trigonometric and coordi nate conversion The 2 n d F R keys change the angular mode DEG RAD GRAD Press H r Ex DEG GRAD Depress the arf drg keys twice DEG mode Entires a...

Page 40: ...e is a negative ED M e m o ry s y m b o l Appears when a number is stored in the memory E Error symbol Appears when an overflow or an error is detected B a tte ry in d ic a to r The battery indicator is a grey dot located at the left side of the display When this dot is not on the batteries must be replaced 2ndF 2nd function designation symbol Appears when the 2nd function is designated HYP Hyperb...

Page 41: ...ey HEX Hexadecimal symbol Appears when an answer in hexadecimal notation is displayed f fjj j Variable input symbol Appears when the Jx key is pressed in the LEARN mode or when the entry of a variable is required while a calculation is executed according to a stored mathematical formula The number in brackets shows where a variable concerned standards in the list of variables randing from 1 to 9 a...

Page 42: ... X 5 5555555555 f e 5 5555555 09 Mantissa Exponent 8 digits 2 digits Ex 2 5 i g 6 g 3 0 000001667 fhe 1 6666666 06 f e 0 000001667 The machine carries out all calculations in exponent form A x 10B and computes the mantissa of a result up to 12 digits In the above example 2 1 66666666666 x 10 6 12 digits And the mantissa is displayed after rounded at the 11th place Floating decimal system or at a d...

Page 43: ... n 3 W hen a n u m b e r is d iv id e d b y 0 ze ro E x 5 l 4 1 0 l ___ 4 W hen th e p e n d in g o p e ra tio n exceeds 8 levels o r w h e n th e Q H key is depressed 1 6 tim 5 o r m o re in 1 level 5 F o r s c ie n tific fu n c tio n s an e rro r o ccurs w he n th e c a lc u la tio n s exceed th e fo llo w in g ranges 6 F o r th e e rro rs in fo rm u la reserve and h e xa d e cim a l d e cim a l...

Page 44: ... y x y 0 y 0 y 0 1 x 1 0 lo x lo g y 1 00 x 0 x in te g e r 1 x 1 0 lo x log 1y 1 100 s in 1 X co s 1 X 1 x g 1 y o y 0 1 x 1O100 log y 10 0 x 0 X 0 ta n 1 x I X I 1 x 1 0 100 y o x in te g e r x 0 In x 1 X 1 0 x 1 X 1 0 lo 1 x 1 0 lo x log 1 y 1 100 lo g x I x I 1 x 1 0 lo 1 x 1 0 lo X 2 3 0 2 5 8 5 0 9 2 e sinh x 1 0 1 x 1 0 lo X 1 00 ___ cosh x 2 2 7 9 5 5 9 2 4 2 X 2 3 0 2 5 8 5 0 9 2 __ ta n ...

Page 45: ... so 0 x 2 y 2 1 x 1 0 lo 86 F u n c tio n s D y n a m ic range r 6 x y 0 r 1 x 1 0 lo H E X 9 9 9 9 9 9 9 9 9 9 x 9 9 9 9 9 9 9 9 9 9 x in te g e r D E C 0 x 2 5 4 0 B E 3 F F F D A B F 4 1 C 0 1 x F F F F F F F F F F x in te g e r S ta tis tic a l c a lc u la tio n D ata C D I X I 1 x 1 0 50 I y I 1 x 1 0 50 I 2 x I 1 x 1 0 100 D x 2 1 x 1 0 100 I 2 y l 1 x 1 0 100 S y 2 1 x 1 0 lo 1 S x y I 1 x ...

Page 46: ...n x 2 0 1 x 10 1 n 1 n 0 S x 2 nx2 0 1 x 1 0 1 n 0 n 1 0 Z y 1 x 101 n 1 n O 0 n 1 x 10 1 S ta tis tic a l c a lc u la tio n n 0 0 I E x 2 n x 2 E y 2 n y 2 I 1 x 1 0 lo nioo Ex Ey I 1 X x y 1 x 1 0 1 E xy Ex Ey V is n x 2 E y 2 n y 2 1 x 1 0 1 n 0 0 I E x 2 n x 2 I 1 x 1 0 lo I E x y S I 1 x 101 0 E xy Ex Ey E x nx 1 x 10 89 ...

Page 47: ...o a tin g d e cim a l p o in t d is p la y 10 d ig its o r E x p o n e n t d is p la y M a ntissa 8 d ig its E x p o n e n t 2 d ig its M in u s s y m b o l appears b o th in m a ntissa and e x p o n e n ts p o rtio n etc See D IS P L A Y F o u r a rith m e tic c a lc u la tio n s c o n s ta n t c a lc u la tio n m e m o ry ca l c u la tio n d e g re e m in u te s e c o n d d e c im a l degrees co...

Page 48: ...anganese b a tte ry L R 4 4 B u ilt in x 2 w a lle t and in s tru c tio n m a n u a l I E n d o f S u p p le m e n ta ry 3 L 92 BATTERY REPLACEMENT When the battery indicator is out replace the batteries 1 Turn off the calculator 2 Remove the screws from the back cover with a small screw driver Fig 1 3 Replace the batteries Fig 2 side must be up 4 Hook the tabs of the back cover into the slits of ...

Page 49: ... battery Type G13 x 2 Eveready model S76 Mallory model MS76 and Ray Q Vac model RS76 or equivalent should be used Batteries may be obtained where you purchased your calculator or at most retail outlets for calculators watches or cameras Battery 94 YOUR OWN APPLICATION ...

Page 50: ...YOUR OWN APPLICATION ...

Page 51: ... Shaip Porarnus N evu Jersey 07652 Phone 201 266 5600 Eastern e 10 Sharp Plaza Paramos NeW Jersey 6 7662 Phone 1201 265 5600 a M ch st 400 Ftoa ci CoOhtey Side llh n m 605254 fhorie QT2 242 0870 Western Sharp Rla a 20600 Sou th Ai cme ds St Carson California 90810 Phooc 21 3 637 84 08L x i v Printed in Japan 1 I r r I M S 6 3 3 6 3 C C Z 2 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ...