USER'S GUIDE
Contents
1. e Independent memory uses the same memory area as variable M e To clear independent memory input CO 619 M Example 1 23 9 32 53 6 47 45x2 90 Total 11 23 EB 9 sro M 32 53 6 M4 47 45 E3 2 Hr M 90 RCL M 11 Variables e There are nine variables A through F M X and Y which can be used to store data constants results and other values e Use the following operation to delete data assigned to all nine variables 1 C E3 key e Use the following operation to delete data assigned to a particular variable CO C7 This operation deletes the data assigned to variable A Example 1 193 2 23 8 4 193 2 28 6 9 193 20 7 23 mom 28 Fraction calculations Note 8 4 6 9 Use the key to activate COMP mode when you want to perform fraction calculations COMP w 1 e Values are automatically displayed in decimal format whenever the total number of digits of a fractional value Example 1 f 14 Example 2 i 16 integertnumerator denominator separator marks exceeds 10 5 2 e 3 E3 1 e3 4e 5 EB 247 4 15 1921 2 1 e Fraction decimal calculation results are always decimal Decimal to Fraction Conversion Example 1 2 75 2 3 2 75 B 2 75 ey 21314 Gun 2 114 Fraction to Decimal Conver2. low can result in improper operation Replace the battery as soon as possible when display figures become dim 1 Press et to turn power off Screw 2 Remove the one screw that hold the battery N cover in place and then remove the battery rt cover 6 3 Remove the old battery 4 Wipe off the sides of new battery with a dry l soft cloth Load it into the unit with the positive side facing up so you can see it 5 Replace the battery cover and secure it in place with the one screw 6 Use a thin pointed object to press the Reset button Be sure not to skip this step 7 Press to turn power on Auto Power Off Calculator power automatically turns off if you do not perform any operation for about six minutes When this happens press to turn power on Input ranges Internal digits 12 Accuracy As a rule accuracy is 1 atthe 10th digit Functions sinx DEG o x 4 499999999 x 10 0 x 785398163 3 0 x 4 499999999 x 10 cosx DEG o x 4 500000008x 10 O x 785398164 9 x 5 000000009x 10 tanx Same as sinx except when x 2n 1 x 90 Same as sinx except when x 2n 1 x 72 Same as sinx except when Ix 2n 1 x 100 9 999999999 x 10 230 2585092 4 999999999x 10 9 999999999 x 10 vx osx lt 1 x 10m kls 1x 108 20 0S n 99 r Sn n ris an integer 1 n n r 9 999999999x 10 j xl y 9 99999
3. 022100 ce LCD 8110 OLYMPIA EN 55022 2006 Olympia Business Systems Vertriebs GmbH EN 55024 1998 A1 2001 A2 2003 Weg zum Wasserwerk 10 45525 Hattingen August 2008 fi 22 23 All rights reserved
4. 741 von vo C gt 36 53844577 ar E 0 741 B Hyperbolic Inverse hyperbolic functions Example 1 sinh 3 6 hye sin 3 6 E3 18 28545536 Example 2 sinh 30 bo OE 30E 4 094622224 Angle Unit Conversion e Press to display the the following menu 123 e Pressing 1 or 3 converts the displayed value to the corresponding angle unit Example 1 To convert 4 25 radians to degrees vor gt o 425r 4 25 Gir E E R B 243 5070629 Common and natural logarithms antilogarithms Example 1 log 1 23 es 1 23 B 0 089905111 Example 2 In 90 log 90 NIE 4 49980967 Example 3 e10 10 22026 46579 Example 4 1015 on 001 5 31 6227766 Example 5 24 2004 16 Square Roots Cube Roots Roots Squares Cubes Reciprocals Factorials Random Numbers and 2 Example 1 V2 3x V5 mays JmK gt lt Jade 5 287196909 Example 2 3543 27 G5 IF 27 B 1 290024053 4 Example 3 123 123 7 123 1 988647795 Example 4 123 302 123 E3 30 0o B 1023 11 Example 5 123 2968 1728 Example 6 3 4 D 3 00 4 o o o 12 Example 7 8 8 E OS 40320 Example 8 To generate a rand
5. 9999x 10 x2 y 9 999999999 x 10 Reo r 9 C r 9 999999999x 10 8 Same as sinx cos x la b c lt 1x 10 gt 0 bc x lt 1x 10 5 Decimal lt gt Sexagesimal Conversions Pol x y 0 0 0 x 999999 59 x gt 0 1 X10 lt ylogx lt 100 x 0 y gt 0 x lt 0 Y Spay nis an integer However 1 x 1010 lt ylog x lt 100 y gt 0 x 0 1x 10 lt 1 x logy lt 100 Ty y 0 x gt 0 y lt 0 x 2n 1 n 0 n is an integer However 1 x 101 lt Vxlogly lt 100 Total of integer numerator and denominator must be 10 digits or less including division marks x x lt 1x 10 Iyi lt 1x 10 In lt 1x 107 REG xon yon X y A B r n 0 xXOn 1 yon 1 n Q 1 Note Error are cumulative with such internal continuous calculations as xY XV x Vx so accuracy may be adversely affected 21 Guarantee Dear Customer We are very pleased that you have decided to buy this product Should the device show signs of a defect please return it together with the purchase receipt and original packing to the point of sale Homepage User manuals for the following countries are available on the www olympia vertrieb de homepage Germany France Italy England Portugal Netherland Greece Finland Czech Republic Sweden Slovakia Hungary Denmark Croatia and Slovenia Hotline Germany 0180 5012370 0 14 per minute Hotline foreign countries 00800 10
6. OLYMPIA SCIENTIFIC CALCULATOR LCD 8110 OLYMPIA sorunne caceumce LCD B110 23456759831 5 TB Soe x wa v x x USER S GUIDE Olympia Business Systems Vertriebs GmbH Weg zum Wasserwerk 10 45525 Hattingen Safety Information Intended Use 4 4440 dees B tleri s if cede nn een Disposal instructions Precautionary Measures When Using the Calculator Two line Display Before Starting to Calculate MOdBS u ern Input capacity 2 ern Making corrections during input Replay fUnCtion u 0 Eforilocator u Exponential display formats Answer memory 0002s Basic Calculations Memory Calculations Independent memory NANADIGS jest ner I rer Fraction calculations Decimal to Fraction Conversion Fraction to Decimal Conversion Percentage calculation Calculations Using Scientific Functions Trigonometric Inverse trigonometric functions Hyperbolic Inverse hyperbolic functions Angle Unit Conversion 22 222 Common and natural logarithms antilogarithms Square Roots Cube Roots Roots Squares Cubes Reciprocals Factorials Random Numbers anda PUM BCHRND nee ENG Calculations 2 222 200 Coordinate conversion Pol x y Rec r 8 Permutali n n siinne 40 aa h
7. batteries can cause them to leak and damage nearby items They also create the risk of fire and personal injury e Always make sure that a battery s positive and negative sides are facing correctly when you load it into the calculator e Remove the batteries if you do not plan to use the calculator for a long time e Use only the type of batteries specified for this calculator in this manual Disposal instructions The implementation of European law in domestic legislation and national regulations requires a suitable X disposal of durable goods The aim is to protect people and the environment The symbol on the side indicates that old electrical and electronic devices should not be disposed of in domestic waste ae After devices and equipment have reached the end of their service life they must be brought to a collection u point provided by an authorised waste disposal enterprise Old batteries must be returned to the point of sale or to a collection point provided by an authorised waste disposal enterprise Packing material must be disposed of according to local regulations Precautionary Measures When Using the Calculator e Itis essential to press the E key before using the calculator for the first time e Be sure to press the Reset button on the back of the calculator before using it for the first time e Dead battery can leak causing damage to and malfunction of the calculator Never leave the dead battery
8. e calculator becomes very dirty wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent Wring out all excess moisture before wiping the calculator Never use thinner benzine or other volatile agents to clean the calculator Doing so can remove printed markings and damage the case Two line Display You can simultaneously check the calculation formula and its answer The first line displays the calculation formula The second line displays the answer Sx3 2sin 60 16 73205081 Before Starting to Calculate Modes Applicaton Mode Mode name identifi cation Calculation modes Normal calculations COMP Standard deviation calculations SD SD Regression calculations REG REG Angle Unit Modes Degrees Deg D Radians Rad Grads Gra g Display Modes Exponential notation Canceling FIX and SCI NORM1 specification NORM2 Number of decimal place specification Fix Fix Number of significant digit specification Sci Sci Note e Mode indicators appear in the lower part of the display e The COMP SD and REG modes can be used in combination with the angle unit modes e Be sure to check the current calculation mode SD REG COMP and angle unit mode DEG RAD GRA before beginning a calculation Input capacity e The memory area used for calculation input can hold 79 steps Whenever you input the 73rd step of an
9. eats Combination cdascscaneea 0000 Statistical Calculations Standard Deviation SD mode Precautionary measures when entering data Regression calculation REG mode Linear regression 4 Quadratic regression 2 2 Precautionary measures when entering data CODOWOADADMWANNANNAWAMAMDAOHH RHR ES Bes 11 Degrees Minutes Seconds Calculations Technical nfonmati n u nee Eror MESSAGES 3 ses vere narrar Narna en Order of Operations ac Stacks Replacing th Auto Power Input ranges Guarantee CA h sc 04 0 near OM na a ee ehe LCD 8110 Scientific Calculator Safety Information Itis essential to read the following safety information before starting to use the calculator Keep this guide close to hand for reference later Intended Use This calculator serves exclusively for completing arithmetical processes indoors Any other use is considered unintended use Batteries e After removing the batteries from the calculator put them in a safe place where there is no danger of them getting into the hands of small children and accidently swallowed e Keep batteries out of the reach of small children If accidently swallowed consult with a physician immediately e Never charge batteries try to take batteries apart or allow batteries to become shorted Never expose batteries to direct heat or dispose them by incineration e Misuse of
10. ermutation Example 1 To determine how many different 4 digit values can be produced using the numbers 1 through 7 e Numbers cannot be duplicated within the same 4 digit value 1234 is allowed but 1123 is not 7 n p 840 Combination Example 1 To determine how many different 4 member groups can be organized in a group of 10 individuals 10 bc 4 B 210 Statistical Calculations Note Use the key to activate SD mode to complete statistical calculations using standard deviation SD Standard Deviation SD mode e Data input always starts with E to clear statistical memory e Input data is used to calculate values for gt x Xx Rac z n On On 1 which you can recall using the ke Ga 5 x operations noted nearby mo n eur CD x fr Ge On me oe On 1 Example 1 Calculate On 1 On Z n 2 x amp x for the following data 55 54 51 55 53 53 54 52 Memory Clear TE 55 _ 54 516 556 52 536 Je 546 526 so Sample Standard Deviation o 1 Er bor 1 407885953 Population Standard Deviation o on Oo 1 316956719 Arithmetic mean x CE 53 375 No of entries 1 RCL CS 8 Sum of values x Reo 427 Sum of the squares of the values x reJ La 22805 Precautionary mea
11. ient C Correlation coefficient r estimated value of x estimated value of y 7 inear regression is y AtBx Perform linear regression to determine the regression formula terms and correlation coefficient for the data nearby Next use the regression formula to estimate atmospheric pressure at 18 C and temperature at 1000 hPa Enter REG Mode Linear Regression 9 3 LT Memory Clear 10L 1003 tJ 15L 1005 tJ 20 gt 1010 amp 25 3 101163 30 30 CJ 10146 REG Regression coefficient A cojen 997 4 Regression coefficient B Say 0 56 Correlation coefficient r be OE 0 982607368 Atmospheric pressure at 18 C 18 6 GD 1007 48 Temperature at 1000 hPa 1000 Bu CJ 4642857143 Quadratic regression e The regression equation for quadratic regression is y AtBx Cx2 e Input data using the following key sequence lt x data gt gt lt y data gt e Example xi yi Perform quadratic regression to determine the 29 1 6 regression formula terms and correlation 50 235 coefficient for the data nearby Next use the 74 38 0 regression formula to estimate the values for 7 estimated value of y for xi 16 and x 103 46 4 estimated value of x for yi 20 118 48 0 Enter REG mode Quadratic regression vor 3 gt 3 lemor
12. in the calculator e The battery that comes with the unit discharges slightly during shipment and storage Because of this it may require replacement sooner than the normal expected battery life 4 Low battery power can cause memory contents to become corrupted or lost completely Always keep written records of all important data Avoid use and storage in areas subjected to temperature extremes Very low temperatures can cause slow display response total failure of the display and shortening of battery life Also avoid leaving the calculator in direct sunlight near a window near a heater or anywhere else it might become exposed to very high temperatures Heat can cause discoloration or deformation of the calculator s case and damage to internal circuitry Avoid use and storage in areas subjected to large amounts of humidity and dust Take care never to leave the calculator where it might be splashed by water or exposed to large amounts of humidity or dust Such elements can damage internal circuitry Never drop the calculator or otherwise subject it to strong impact Never twist or bend the calculator Avoid carrying the calculator in the pocket of your trousers or other tight fitting clothing where it might be subjected to twisting or bending Never try to take the calculator apart Never press the keys on the calculator with a ballpoint pen or another pointed object Use a soft dry cloth to clean the exterior of the unit If th
13. o 3 LI J NORM 1 mode Check the formula you are working with to confirm it is correct Enter the correct modes to perform the calculation and try again aney Error messages The calculator is locked up while an error message is on the display Press to clear the error or press or to display the calculation and correct the problem Ma ERROR e Cause e Calculation result is outside the allowable calculation range e Attempt to perform a function calculation using a value that exceeds the allowable input range e Attempt to perform an illogical operation division by zero etc e Action e Check your input values and make sure they are all within the allowable ranges Pay special attention to values in any memory areas you are using Stk ERROR e Cause e Capacity of the numeric stack or operator stack is exceeded e Action e Simplify the calculation The numeric stack has 10 levels and the operator stack has 24 levels e Divide your calculation into two or more separate parts Syn ERROR e Cause Attempt to perform an illegal mathematical operation Action Press J or gt to display the calculation with the cursor located at the location of the error Make necessary corrections Arg ERROR e Cause e Improper use of argument e Action e Press or to display the location of the cause of the error and make required corrections Order of Operations Calculations are perfo
14. om number between 0 000 and 0 999 GF ee 0 664 Example 9 3r eier 9 424777961 FIX SCI RND Example 1 200 7x14 400 2078145 400 Defines three decimal places es Les bes UT GS 400 000 Calculation continues using 10 display digits 200 7 B 28 571 48 400 000 Complete the same calculation with the defined number of decimal places 200 7 B 28 571 Internal rounding sae me 28 571 48 399 994 e Press Vo ver vor S CIJ to delete the FIX entry Example 2 1 3 to display results with two significant digits SCI2 mi Koz o vo 2 2 3 301 1365 Scl e Press to Ko vou 3 CIJ to delete the SCI entry ENG Calculations Example 1 Convert 56088 meters to kilometers 56088 Es 56 08803 Example 2 Convert 0 08125 gram to milligrams 0 08125 E3 Ex 81 2503 Coordinate conversion Pol x y Rec r 0 e The results of the calculation are automatically assigned to variables E and F Example 1 To convert polar coordinates r 2 0 60 to rectangular coordinates x y DEG mode x E Fe 205 60 0 1 y a 1 732050808 RCA Ry swaps displayed value with value in memory Example 2 To convert rectangular coordinates 1 V3 to polar coordinates r 8 RAD mode r em 1J O3 wm B 2 8 Roy CA 1 047197551 E5 swaps displayed value with value in memory P
15. r 2 to select NORM 1 or NORM 2 e NORM 1 With NORM 1 exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places e NORM2 With NORM 2 exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places e All of the examples in this manual show calculation results using the NORM 1 format Answer memory e Whenever you press E3 after inputting values or an expression the calculated result is automatically stored in Answer Memory You can recall Answer Memory contents by pressing rs e Answer Memory can store up to 12 digits for the mantissa and two digits for the exponent e Answer Memory contents are not changed if the operation performed by any of the above key operations results in an error Basic Calculations Note Use the vers key to activate COMP mode in order to carry out basic calculations COMP we G Example 1 3x 5x10 3 gt lt O 5 e900 1 508 Example 2 5x 9 7 Sea 09370 80 Memory Calculations Note Use the K key to activate COMP mode to complete calculations using the memory COMP te CT Independent memory e The values can be entered directly in the memory or added to and subtracted from the memory Independent memory is convenient for calculating cumulative totals
16. rmed in the following order of precedence 1 Coordinate conversion Pol x y Rec r 0 2 Type A functions With these functions the value is entered and then the function key is pressed x2 x7 xl 27 3 Powers and roots xY V a bie 5 Abbreviated multiplication format in front of st memory name or variable name 2r 5 A TA etc 6 Type B functions With these functions the function key is pressed and then the value is entered y 3V log In e 10 sin cos tan sint cos tant sinh cosh tanh sinh cosh tanh 7 Abbreviated multiplication format in front of Type B functions 2V3 Alog2 etc 8 Permutation and combination nPr nCr 18 gt 9 X 10 Operations of the same precedence are performed from right to left eXInv120 gt eX In 120 Other operations are performed from left to right Operations enclosed in parentheses are performed first Stacks This calculator uses memory areas called stacks to temporarily store values numeric stack and commands command stack according to their precedence during calculations The numeric stack has 10 levels and the command stack has 24 levels A stack error Stk ERROR occurs whenever you try to perform a calculation that is so complex that the capacity of a stack is exceeded Replacing the Battery Dim figures on the display off the calculator indicate that battery power is low Continued use of the calculator when the battery is
17. sion Example 1 t lt gt 0 5 Fraction lt gt Decimal 1e 2 B 112 eg 0 5 e 112 Percentage calculation Note Use the v key to activate COMP mode in order to carry out calculation of percentages COMP 3 4 Example 1 Calculate 12 of 1500 1500 amp 12 Ga 4 180 Example 2 To calculate what percentage of 880 is 660 660 Gad 880 kun 9 75 Example 3 Add 15 to 2500 2500 15 sant 2875 Example 4 Reduce 3500 by 25 3500 25 e 2625 Example 5 If 300 grams are added to a test sample originally weighing 500 grams what is the percentage increase in weight 300 500 9 EGO X 100 160 300 E3 500 fe 2 160 Example 6 What is the percentage increase when a temperature rises from 40 C to 46 C 46 40 4100 15 40 46 E 40 Gr C 15 Calculations Using Scientific Functions Note Use the v key to activate COMP mode in order to carry out scientific function calculations COMP ve 1 e T1 3 14159265359 Trigonometric Inverse trigonometric functions Example 1 sin 63 52 41 io b 0897859012 Gin 63 k 52 E3 41 E3 Example 2 os ig rad woos v9 2 gt R 0 5 cos CO Gar 3 Example 3 cos 2 A rad gt R 0 785398163 amp COW 220 Bn E E C 0 25 Example 4 tan 0
18. sures when entering data e GJ inputs the same data twice e You can also input multiple entries of the same data using GE To input the data 110 ten times for example press 110 Ge C 10 u e The above results can be obtained in any order and not necessarily that shown above e To delete data you have just input press E Ca Regression calculation REG mode Note Use the w key to activate Reg mode to complete statistical calculations with regressions REG vo Wir C Linear regression 2 Logarithmic regression 3 Exponential regression 1 Power regression 2 Inverse regression 3 Quadratic regression e Data input always starts with amp 3 E3 to clear statistical memory e The values produced by a regression calculation depend on the values input and results can be recalled using the key operations shown in the table below A B D 1a m GO x gt a ma mc a a 7 ar z E 3 XOn 1 y YOn 2 g 67 y On 1 Regression coefficient A EIZEIZEIBEIZEIZEIZEIZEIZEI BEI Heo eee Linear regression The regression equation for Example 1 Atmospheric pressure vs temperature Tempera Atmosphe ture ric pressure 10 C 1003 hPa toc T005hPa 20 C 1010 hPa 25 C 1011 hPa 30 C 1014 hPa Regression coefficient B Regression coeffic
19. y Clear 6 E3 290 1 66 50 CJ 23 56 74 5138 06 1032 4646 118 118 LJ 48 0 e 9 REG Regression coefficient A B 35 599856934 Regression coefficient B C B 1 495939413 Regression coefficient C ea TEX 6 71629667 when xi 16 16 se C 13 38291067 when yi 20 20 aa C 47 14556728 2 when yi 20 Ga 175 5872105 Precautionary measures when entering data inputs the same data twice e You can also input multiple entries of the same data using _ To input the data 20 and 30 five times for example press 20 gt 30 56 e The above results can be obtained in any order and not necessarily that shown above e To delete data you have just input press Ca X Degrees Minutes Seconds Calculations e You can complete sexagesimal calculations using degrees hours minutes and seconds and convert between sexagesimal and decimal values Example 1 To convert the decimal value 2 258 to a sexagesimal value 2 258 2 258 bu Eo 2 15 28 8 Example 2 To perform the following calculation 12 34 56 x 3 45 12 E 34 E 56 EC 3 45 B 43 24 31 2 Technical Information When you have a problem If calculation results are not what you expect or if an error occurs perform the following steps 1 vex CT COMP mode vos wove LT DEG mode vo ver v
20. y calculation the cursor changes from L to Ill to let you know memory is running low If you still need to input more you should divide your calculations into two or more parts Making corrections during input e Use and to move the cursor to the location you want e Press to delete the number or function at the current cursor position 6 e Press Ein to change to an insert cursor 2 Inputting something while the insert cursor is on the display inserts the input at the insert cursor position e Press J em 5 or ES returns to the normal cursor from the insert cursor Replay function e Pressing J or recalls the last calculation you performed You can then make any changes you want in the calculation and reexecute it e Pressing does not clear Replay memory so you can recall the last calculation even after you press EB e Replay memory is cleared whenever you start a new calculation change to another mode or turn off power Error locator e Pressing or after an error occurs displays the calculation with the cursor positioned at the location where the error occured Exponential display formats This calculator can display up to 10 digits Larger values are automatically displayed using exponential notation In the case of decimal values you can select between two formats that determine at what point exponential notation is used Press 23 veo os 3 LI o
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