Canon F 789SGA (EXP Calcualtion Example) Front_P User Manual To The E7013ba5 C207 482d Bf7e C98ed719f6a3
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F-789SGA Calculation Examples Beispiele für Berechnungen Exemples de calcul Ejemplos de cálculo Esempi di calcolo Rekenvoorbeelden Regneeksempler Laskentaesimerkkejä Beräkningsexempel Exemplos de cálculos αραδείγματα υπολογισμών E-IM-2724 ENGLISH DEUTSCH FRENCH ESPAЙOL ITALIANO NEDERLANDS DANSK SUOMI SVENSKA PORTUGUÊS ΕΛΛΗΝΙΚΑ EX #1 Key In Operation Example Including *2, *1, *3 Display 2xlog(100) x (1+3) *1 *2 16 3 Omitting 2log(100)(1+3) *1, *3 16 EX #2 LINE MODE: Mode Setting Key In operation Method 1: Insert mode Method 2: Overwrite mode 2 Display (input Line only) EX #3 LINE MODE: Mode Setting Method 1: Key In operation 12times Insert mode 12|34567+889900 1|34567+889900 Method 2: Overwrite mode Display 1234567+889900_ 13times 1234567+889900 134567+889900 EX #4 MATHEMATICS MODE: Mode Setting Insert mode Key In operation 6times Display 1234567+|889900 1234567+2|889900 EX #5 MATHEMATICS MODE: Example Key in operation 3 Display EX #6 Calculation Precision, Input Range / Berechnung Präzision, Eingangsbereich / Calcul de précision, plages des valeurs d'entrée / Cálculo de precisión, Rango de entrada / Calcolo di precisione, Rango de entrada / Rekenprecisie, Invoerberelk / Beregning Precision, Inputområde / Laskelma Precision, Syöttöalue / Beräkning Precision, Inmatningsområde / Cálculo de Precisão, Limite de entrada / Υπολογισμός ακριβείας, Περιοχή εισαγωγής Number of Digits for 18 digits Internal Calculation Precision* ±1 at the 10th digit for a single calculation. ±1 at the least significant for exponential display Calculation Range ±1 × 10–99 to ±9.999999999 × 1099 or 0 Anzahl Ziffern für die 18 Zeichen beinhalten interne Berechnung Präzision* ±1 an der 10. Stelle bei einer einzelnen Berechnung. ±1 an der letzten signifikanten Stelle bei der Exponentialdarstellung Rechenbereich ±1 × 10–99 bis ±9.999999999 × 1099 oder 0 Nombre de chiffres pour les calculs internes Précision* Plage de calcul Número de dígitos del cálculo interno Precisión* Intervalo de cálculo Numero di cifre del calcolo interno Precisione* Intervallo di calcolo 18 chiffres ±1 sur le dixième chiffre pour un calcul unique. ±1 sur le demier chiffre significatif pour l'affichage exponentiel. ±1 × 10–99 à ±9.999999999 × 1099 ou 0 18 dígitos ±1 en el décimo digito (en cálculos simples) ±1 en el último digito significativo (en la visualización de exponentes). ±1 × 10–99 to ±9.999999999 × 1099 o 0 18 cifre ±1 alla 10a cifra per un unico calcolo. ±1 all'ultima cifra significativa in caso di visualizzazione esponenziale. ±1 × 10–99 a ±9.999999999 × 1099 o 0 4 Aantal cijfers van interne berekening Precisie* Berekeningsbereik Antal cifre i intern udregning Præcision* Udregningsområde 18 cijfers bewaren ±1 bij het tiende cijfer voor één berekening. ±1 bij het laatste significante cijfer voor de exponentiële weergave. ±1 × 10–99 tot ±9.999999999 × 1099 of 0 18 cifre ±1 ved det 10. Ciffer for en enkelt beregning. ±1 ved sidste signifikante ciffer ved eksponentiel visning. ±1 × 10–99 til ±9.999999999 × 1099 eller 0 Sisäisen laskutoimituksen 18 numeroa numeroiden lukumäärä Tarkkuus* ±1 yksittäisessä laskussa 10. Numerolla. ±1 viimeisessä merkitsevässä numerossa eksponentiaalinäytössä. Laskenta-alue ±1 × 10–99 to ±9.999999999 × 1099 tai 0 Antal siffror i intern beräkning Precision* Beräkningsområde Número de dígitos de cálculo interno Precisão* Intervalo de cálculo 18 siffror ±1 vid den 10:e siffran för en enstaka beräkning. ±1 är den sista signifikanta siffran för exponentiell visning. ±1 × 10–99 to ±9.999999999 × 1099 eller 0 18 dígitos ±1 no 10º digito para um cálculo único. ±1 no último digito significativo para o ecrã. ±1 × 10–99 a ±9.999999999 × 1099 ou 0 Αριθμός ψηφίων για 18 ψηφίο εσωτερικό υπολογισμό Ακρίβεια* 1 στο 10ο ψηφίο για έναν υπολογισμό. 1 στο τελευταίο σημαντικό ψηφίο, για τηνεκθετική προβολή. Εύρος τιμών 1 x 10-99 έως 9.999999999 x 1099 υπολογισμού 5 Input Ranges / Eingangsbereich / Plages des valeurs d'entrée / Rango de entrada / Rango de entrada / Invoerberelk / Inputområde / Syöttöalue / Inmatningsområde / Limite de entrada / Περιοχή εισαγωγής 6 7 Functions Mod(x,y) Single-variable Input Range 0<|x,y| 9.999999999x1012 Default result=x when y=0 |x|<1x10100 |FREQ|<1x10100 |x|<1x10100 Paired-variable |y|<1x10100 |FREQ|<1x10100 ABS |x|<1x10100 Pfact x 9999999999 (positive integers) Positive: 0~0111 1111 1111 1111 1111 1111 1111 1111 BIN Negative: 1000 0000 0000 0000 0000 0000 0000 0000~ 1111 1111 1111 1111 1111 1111 1111 1111 DEC OCT HEX Positive: 0~2147483647 Negative: -2147483648~-1 Positive: 0~177 7777 7777 Negative: 200 0000 0000~377 7777 7777 Positive: 0~7FFF FFFF Negative: 8000 0000~FFFF FFFF ∑ (f(x),a, b) a and b are integers in the range of –1 • 10^10 < a b <1 • 10^10. ∏ (f(x),a, b) a and b are integers in the range of –1 • 10^10 < a b <1 • 10^10. 8 EX #7 1st Priority Recall memory (A, B, C, D, E, F, 0-9), Rand 2nd Calculation within parentheses ( ). 3rd Function with parenthesis that request the input argument to the right Pol(, Rec(, d/dx, dx, P(, Q(, R(, Det(, Trn(, Ide(, Adj(, Inv(, Arg(, Conjg(, Real(, Imag(, sin(, cos(, tan(, sin–1(, cos–1(, tan–1(, sinh(, cosh(, tanh(, sinh–1(, cosh–1(, tanh–1(, log(, ln(, e^(, 10^(, 4th (, (, Abs(, ROUND(, LCM(, GCD(, Q…r(, i~Rand(, 3 Functions that come after the input value preceded by values, powers, power roots: x2, x3, x–1, x!, ° ’ ”, °, r, g, ^(, x (, Percent %, logab, EXP, t 5th Fractions: a b/c, d/c 6th Prefix symbol: (–) (negative sign), base-n symbols (d, h, b, o, Neg, Not) 7th Statistical estimated value calculation: x, ˆ y, ˆ x1, ˆ x2 ˆ Metric conversion commands (cm 8th omitted immediately before , e, variables (2 , 5A, A, etc.), functions with parentheses (2 9th in, etc) Multiplication where sign is omitted: Multiplication sign (3), Asin(30), etc.) Permutations, combinations: nPr, nCr Complex number polar coordinate symbol (<) . 10th Dot: 11th Multiplication and division: ×, ÷ – 12th Addition and subtraction: +, 13th Logical AND (and) 14th Logical OR, XOR, XNOR (or, xor, xnor) 15th Calculation ending instruction: =, M+, M- STO (store memory), r< , a+bi 9 EX #8 MATHEMATICS MODE: Example Key in operation Display (-2.5)2 (-2.5)2 (4 x 1075)(-2 x 4E75x 25 4 10-79) 1 1250 EX #9 MATHEMATICS MODE: Example 23 + 7 Key in operation A Display 23+7 A 30 2 x sin A = 1 2sin(A Clear memory 0 1 A 0 10 EX #10 MATHEMATICS MODE: Example 123 + 456 Key in operation Display Ans2 M+, Ans2 = 335,241 335241 789900 – Ans = 789900-Ans 454,659 454659 EX #11 MATHEMATICS MODE: Example Key in operation 1 5 7 1 + = 2 6 3 7 3 1 5 1 + 2 6 Decimal) 2.333333333 (Decimal Fraction) 2 Mixed 7 3 1 5 1 + 2 6 2.333333333 2.333333333 (Fraction Display 1 3 1 5 1 + 2 6 2 11 1 3 EX #12 MATHEMATICS MODE: Example Key in operation Display To calculate 25% of 820 820x25% The percentage of 750 against 1250 750÷1250% 205 60 EX #13 MATHEMATICS MODE: Example Key in operation Display 86º37’34.2” ÷ 0.7 = 123º45’6” 86º37 º 34.2 º ÷ 0.7 123º45’6” 86º37 º 34.2 º ÷ 0.7 123.7516667 123º45’6” 2.3456 123.7516667 2º20’44.16” 2.3456 2º20’44.16” 12 EX #14 MATHEMATICS MODE: Example Key in operation 1x12=12 2+25=27 using a multi-statement Display 1x12:2+25| Disp 1x12 12 2+25 27 Replay the previous calculation history (1 x 12 = 12) 1x12 12 EX #15 MATHEMATICS MODE: Key in Operation Display (menu selection page) Input mp 1 79 mn me mµ 00 ao g| 35 g+35 44.80665 50 Ansx50 2240.3325 13 EX #16 NO. Constant Symbol Value 1.672621777x10-27 1.674927351 x10-27 9.10938291x10-31 1.883531475x10-28 0.52917721092x10-10 6.62606957 x10-34 5.05078353 x10-27 927.400968 x10-26 1.054571726 x10-34 7.2973525698x10-3 2.8179403267x10-15 2.4263102389 x10-12 2.675222005 x108 1.32140985623 x10-15 1.3195909068x10-15 10973731.568539 1.660538921 x10-27 1.410606743x10-26 -928.476430x10-26 -0.96623647 x10-26 -4.49044807 x10-26 96485.3365 1.602176565x10-19 6.02214129x1023 1.3806488 x10-23 22.413968 x10-3 8.3144621 299792458 3.74177153x10-16 1.4387770 x10-2 14 Unit NO. Constant Symbol Value Unit 5.670373x10-8 8.854187817 x10-12 12.566370614x10-7 2.067833758 x10-15 9.80665 7.7480917346x10-5 376.730313461 273.15 6.67384 x10-11 101325 5.585694713 0.21001941568x10-15 1.616199x10-35 5.39106x10-44 2.17651 x10-8 1.660538921 x10-27 1.602176565x10-19 3.9903127176x10-10 2.8977721 x10-3 543.1020504 x 10-12 4.35974434 x10-18 2.6867805 x1025 12906.4037217 483597.870 x109 25812.8074434 386.15926800x10-15 0.6652458734 x10-28 1.15965218076 x10-3 -2.00231930436153 1.760859708x1011 1.16592091 x10-3 -2.0023318418 15 Pa NO. Constant Symbol Value Unit 11.73444103x10-15 1.867594294x10-15 0.697787 x10-15 0.111056 x10-15 3.16747 x10-27 0.21030891047 x10-15 1.410570499 x10-26 -3.82608545 1.83247179 x108 3.34358348 x10-27 0.433073489 x10-26 5.00641234 x10-27 -1.074553044 x10-26 2.037894659 x108 6.64465675 x10-27 2.675153268 x108 25.694 x10-6 ! Constant values cannot perform rounding. / Konstante Werte kann keine Rundung. / Les valeurs constantes ne peuvent pas effectuer d'arrondi. / Los valores constantes no se puede realizar el redondeo. / Valori costanti non può eseguire arrotondamenti. / Constante waarden kunnen niet worden uitgevoerd afronding. / Konstante værdier kan ikke udføre afrunding. / Nykyarvoina ei tehdä eroja. / Konstanta värden kan inte utföra avrundning. / Valores constantes não podem executar o arredondamento. / Σταθερή αξία δεν μπορεί να εκτελέσει τη στρογγυλοποίηση. Source: CODATA Internationally 2010 / Quelle: CODATA Internationally 2010 / Source: Conférence internationale CODATA 2010 / Fuente: CODATA Internationally 2010 / Fonte: CODATA Internationally 2010 / Bron: CODATA Internationaal 2010 / Kilde: CODATA Internationally 2010 / Lähde: CODATA International 2010 / Källa: CODATA Internationally 2010 / Fonte: CODATA Internationally 2010 / Πηγή: CODATA Internationally 2010 http://physics.nist.gov/constants 16 EX #17 Page Symbol 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 8 8 feet m mil mm in cm yd mile km ft2 yd2 m2 mile2 km2 hectares acres o F o C gal liter B.gal pint fl.oz Tr.oz oz lb Kg g J cal.f atm Kpa mmHg cmH2O m/s km/h Unit feet meter milliliter millimeter inch centimeter yard mile kilometer square foot square yard square meter square mile square kilometer hectare acre degree Fahrenheit degree Celsius gallon (U.K.) liter gallon (U.S.) pint fluid ounces (U.S.) ounce (troy or apothecary) ounces libra kilogram gram joule calorie standard atmosphere kilopascal millimeter of mercury centimeter of water Meter per second Kilometer per hour 17 EX #18 MATHEMATICS MODE: Key in Operation Display Un it (d is t a n c e ) fe e t m mil mm cm yd mile k m (menu selection menu) ft2 km2 (confirm selection ft2) yd2 ha m2 acr es in mile2 5 (confirm the value convert into m2) EX #19 MATHEMATICS MODE: Example Key in operation Display = 0.6217559776 0.6217559776 =7 7 18 EX #20 MATHEMATICS MODE: Example Key in operation Display e-3 + 101.2 + In3 = 16.99733128 16.99733128 log381 – log1 = 4 4 EX #21 MATHEMATICS MODE: Example Display Key in operation R 180º Convert 180 degree into radian and gradient (180º = Rad = 200Gad) 180º 200 EX #22 MATHEMATICS MODE: Example Key in operation Display D Degree Mode Sin 60 = sin(60 3 2 3 2 sin(45)-1 1 =Cosec 45º = Sin45 o 2 19 EX #23 MATHEMATICS MODE: Example Key in operation sinh2.5 – cosh 2.5 = -0.082084998 Display sinh(2.5) – cosh( -0.08208499862 Cosh-145 cosh-1(45 = 4.499686191 4.499686191 EX #24 MATHEMATICS MODE: Example 10P3 Key in operation = 720 Display 10P3 720 5C 2 = 10 5C2 10 5! 5! = 120 120 EX #25 MATHEMATICS MODE: Example Key in operation Display Generate a random number between 0.000 & 0.999 Rand Generate an integer from a range of 1 to 100 i~Rand(1,100 139 1000 33 20 EX #26 MATHEMATICS MODE: Example LCM(15, 27, 39) = 1755 Key in operation Display LCM(15,27,39 Apps 1755 LINE MODE: Example GCD(12, 24, 60) = 12 Key in operation Display GCD(12,24,60 Apps 12 EX #27 MATHEMATICS MODE: Key in Operation Display 9999999999 32x11x41x271x(9 1777 (1777) 21 EX #28 LINE MODE: Example 35 ÷ 10 = 3 x 10 +5 Q=3 R=5 Key in operation Display Q…r(35, 10 Q= R= Apps Quotient value (Q) + 3 =6 Ans+3 Recall Quotient value (Q) C Recall Remainder value (r) D 3 5 6 3 5 EX #29 MATHEMATICS MODE: Example Key in operation Display Pol(1, √3 With rectangular coordinate (x=1, y= √3). Find Polar coordinate (r, θ) at degree mode r=2, θ=60 X Y 22 2 60 EX #30 LINE MODE: Example Key in operation Display Rec(2, 60 X= 1 Y= 1.732050808 With Polar coordinate (r=2, θ=60º). Find Rectangular coordinate (x, y) at degree mode X 1 Y 1.732050808 EX #31 MATHEMATICS MODE: Example Key in operation Display 2.573442045 EX #32 LINE MODE: Example Key in operation 1÷200 = 5x10-3 Display 1÷200 5x10-3 1÷200 1÷200 23 5000x10-6 5x10-3 EX #33 LINE MODE: Example Key in operation Display 2_|3+2 8_|3 2_|3+2 2.666666667 MATHEMATICS MODE: Example Key in operation Display 2 +2 3 2 +2 3 8 3 2.666666667 3 3 =0.5773502692 0.5773502692 1 8 =0.3926990817 ÷8 = 1 8 0.3926990817 24 EX #34 MATHEMATICS MODE: Example Key in operation Apps 3+4 = 5 53.13010235 Display 3+4 5 53.13010235 2<45=1+ 2 45= Apps 1+ EX #35 LINE MODE: Example Absolute value (r) and argument ( ) if complex number is 6+8 Key in operation Display Abs (6+8 ) Abs 10 Apps Arg (6+8 ) 53.13010235 EX #36 LINE MODE: Example 3+4 is 3–4 Key in operation Apps Display Conjg (3+4 ) 3 -4 25 EX #37 MATHEMATICS MODE: Example Real and Imaginary values of a complex number is 23<54 Key in operation Display Apps Real(23 54) 13.5190608 Apps Imag(23 54) 18.60739087 EX #38 MATHEMATICS MODE: Example Key in operation 10101011+1100– 1001x101÷10 =10100001 Display 10101011+1100–1 BIN 1010 0001 (in Binary Mode) 645+321-23x7÷2 OCT 00000001064 645+321–23x7÷2 =1064 (in Octal Mode) (77A6C+D9)xB÷F =57C87 (77A6C+D9)xB÷F HEX (in Hexadecimal Mode) 00057C87 EX #39 MATHEMATICS MODE: Example Key in operation 12345+101=12446 Display 12345+101 12345+101 DEC 12446 HEX 000309E 12345+101 BIK 1/2 BIN 1001 1110 12345+101 OCT 00000030236 26 EX #40 MATHEMATICS MODE: Example Key in operation 789ABC Xnor 147258 Apps Apps Ans or 789ABC Display 789ABC nor147258 HEX FF93171B Ansor789ABC HEX FFFB9FBF Neg 789ABC Apps Neg(789ABC HEX FF876544 EX #41 LINE MODE: Key in operation Display (SD) Apps ∑x2 Apps ∑x Apps n Apps x Apps x n Apps x n-1 33120 406 5 81.2 5.528109984 6.180614856 27 EX #42 LINE MODE: Key in operation Display (Quad) Apps 30y Apps 50x1 Apps 50x2 48.69615715 31.30538226 -167.1096731 EX #43 LINE MODE: Key in operation Apps Display 26 t -0.6236095645 Apps P(Ans 0.26644 28 EX #44 MATHEMATICS MODE: Key in operation Display (3 unknowns) X= 11 2 Y= 3 Z= 3 4 29 EX #45 MATHEMATICS MODE: Key in operation Display (Cubic equation) X1= X 2= X 3= EX #46 -1 3 +0.331662479 10 3 -0.331662479 10 LINE MODE: Key in operation Display 0 (COMP MODE) X=(1_|3) B2C 0 B? 0 (radius is B=5cm) C? 0 (height is C=2cm) Solve for X 0 X=(1_|3) B2C (Calculate with new variables) X= L -R = 30 523.5987756 0 EX #47 LINE MODE: Key in operation Display (COMP MODE) 0 Y=5X2–X+1 0 Y=5X2–X+1 116 Y=5X2–X+1 232 EX #48 LINE MODE: Key in operation Display (COMP MODE) 0 d/dx(sin(3X+30) 0.04534498409 EX #49 LINE MODE: Key in operation Display 0 (5X^(4)+3X2+2X 236 31 EX #50 LINE MODE: Key in operation Display Apps Apps Apps 32 EX #51 LINE MODE: Key in operation Display Apps Apps EX #52 LINE MODE: Key in operation Display Apps Apps Apps 33 EX #53 LINE MODE: Key in operation Display Apps Apps Apps EX #54 LINE MODE: Key in operation Display Apps 34 EX #55 LINE MODE: Key in operation Display Apps Apps Apps EX #56 LINE MODE: Key in operation Display Apps Apps Apps 35 EX #57 LINE MODE: Key in operation Display Abs Apps EX #58 LINE MODE: Key in operation Display Apps Apps Apps 36 EX #59 LINE MODE: Key in operation Display Apps Apps EX #60 LINE MODE: Key in operation Display Apps Apps Apps Apps Apps 37 EX #61 LINE MODE: Key in operation Display Apps Apps Apps Apps EX #62 LINE MODE: Key in operation Display Apps Abs Apps 38 EX #63 LINE MODE: Key in operation Display Apps Apps Apps Apps Abs Abs Apps Apps Apps Apps Apps Abs Apps Apps 39 EX #64 MATHEMATICS MODE: Key in operation Display f(x)= f(x)= X3+3X2-2X PUB E-IM-2724 © CANON ELECTRONIC BUSINESS MACHINES (H.K.) 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