User Manual

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Manual Calculations

2-1 Basic Calculations

2-2 Special Functions

2-3 Function Calculations

Chapter

Summary of content (18 pages)

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Chapter Manual Calculations 2-1 2-2 2-3 Basic Calculations Special Functions Function Calculations 2
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-1 Basic Calculations k Arithmetic Calculations • Enter arithmetic calculations as they are written, from left to right. • Use the - key to input the minus sign before a negative value. • Calculations are performed internally with a 15-digit mantissa. The result is rounded to a 10-digit mantissa before it is displayed. • For mixed arithmetic calculations, multiplication and division are given priority over addition and subtraction. Example Operation 23 + 4.5 – 53 = –25.5 Display 23+4.5-53w –25.
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Basic Calculations P.53 2-1 • Even after you specify the number of decimal places or the number of significant digits, internal calculations are still performed using a 15-digit mantissa, and displayed values are stored with a 10-digit mantissa. Use Rnd (4) of the Numeric Calculation Menu (NUM) to round the displayed value off to the number of decimal place and number of significant digit settings.
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2-1 Basic Calculations • If the same calculation is performed using the specified number of digits: 200/7w The value stored internally is cut off to the number of decimal places you specify. 28.571 K6(g) 4(NUM)4(Rnd)w * Ans × _ 14w 28.571 399.994 k Calculations Using Variables Example 48 Operation Display 193.2aaAw 193.2 193.2 ÷ 23 = 8.4 aA/23w 8.4 193.2 ÷ 28 = 6.9 aA/28w 6.
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2-2 Special Functions k Answer Function The unit’s Answer Function automatically stores the last result you calculated by pressing w(unless the wkey operation results in an error). The result is stored in the answer memory.
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2-2 Special Functions k Using the Replay Function The Replay Function automatically stores the last calculation performed into replay memory. You can recall the contents of the replay memory by pressing d or e. If you press e, the calculation appears with the cursor at the beginning. Pressing d causes the calculation to appear with the cursor at the end. You can make changes in the calculation as you wish and then execute it again. Example To perform the following two calculations 4.12 × 6.4 = 26.368 4.
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Special Functions 2-2 Make necessary changes. d![b Execute it again. w k Using Multistatements Multistatements are formed by connecting a number of individual statements for sequential execution. You can use multistatements in manual calculations and in programmed calculations. There are two different ways that you can use to connect statements to form multistatements. • Colon (:) Statements that are connected with colons are executed from left to right, without stopping.
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2-3 Function Calculations k Function Menus This calculator includes five function menus that give you access to scientific functions that are not printed on the key panel. • The contents of the function menu differ according to the mode you entered from the Main Menu before you pressed the K key. The following examples show function menus that appear in the RUN or PRGM Mode. uHyperbolic Calculations (HYP) K6(g)2(HYP) 1 2 3 4 5 6 1 (sinh) ........ Hyperbolic sine 2 (cosh) .......
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Function Calculations 2-3 uNumeric Calculations (NUM) K6(g)4(NUM) 1 2 3 4 5 6 1 (Abs) ......... Select this item and input a value to obtain the absolute value of the value. 2 (Int) ........... Select this item and input a value to extract the integer part of the value. 3 (Frac) ........ Select this item and input a value to extract the fraction part of the value. 4 (Rnd) ........
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2-3 Function Calculations u Engineering Notation Calculations (ESYM) K6(g)6(g)1(ESYM) 1 (m) ............ milli (10–3) 1 2 3 4 5 6 2 (µ) ............. micro (10–6) 3 (n) ............. nano (10–9) 4 (p) ............. pico (10–12) 5 (f) .............. femto (10–15) 6 (g) ............ Next menu 6(g) 1 2 3 4 5 6 1 (k) ............. kilo (10 ) 3 2 (M) ............ mega (106) 3 (G) ............ giga (109) 4 (T) ............. tera (1012) 5 (P) ............ peta (1015) 6 (g) ............
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Function Calculations 2-3 k Angle Units P.53 • Once you specify an angle unit, it remains in effect until you specify a different one. The specification is retained even if you switch power off. P.5 • Be sure to specify “Comp” for Calculation/Binary, Octal, Decimal, Hexadecimal Setting Mode. Example Operation To convert 4.25 rad to degrees: !Zcccc 1(Deg)J4.25K6(g) 5(ANGL)2(r)w 243.5070629 47.3+82.52(r)w 4774.20181 47.3° + 82.5rad = 4774.
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2-3 Function Calculations k Logarithmic and Exponential Functions • Be sure to specify “Comp” for Calculation/Binary, Octal, Decimal, Hexadecimal Setting Mode. P.5 Example log 1.23 (log101.23) = 8.990511144 × 10–2 Operation Display l1.23w 0.08990511144 In 90 (loge90) = 4.49980967 I90w 4.49980967 101.23 = 16.98243652 (To obtain the antilogarithm of common logarithm 1.23) !01.23w 16.98243652 !e4.5w 90.0171313 (-3)M4w 81 -3M4w – 81 7!q123w 1.988647795 2+3*3!q64-4w*1 10 e4.5 = 90.
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Function Calculations 2-3 k Other Functions • Be sure to specify “Comp” for Calculation/Binary, Octal, Decimal, Hexadecimal Setting Mode. P.5 Example Operation Display !92+!95w 3.65028154 (-3)xw 9 –32 = –(3 × 3) = –9 -3xw –9 1 ––––––––––– = 12 1 1 ––– – ––– 3 4 (3!X-4!X) !Xw 12 8K6(g)3(PROB) 1(x !)w 40320 !#(36*42*49)w 42 K6(g)3(PROB) 4(Ran#)w (Ex.) 0.4810497011 What is the absolute value of 3 the common logarithm of ? 4 3 K6(g)4(NUM) log = 0.1249387366 | 4| 1(Abs)l(3/4)w 0.
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2-3 Function Calculations k Coordinate Conversion u Rectangular Coordinates u Polar Coordinates • With polar coordinates, θ can be calculated and displayed within a range of –180°< θ < 180° (radians and grads have same range). P.5 • Be sure to specify “Comp” for Calculation/Binary, Octal, Decimal, Hexadecimal Setting Mode. Example To calculate r and θ° when x = 14 and y = 20.7 Operation !Zcccc1(Deg)J K6(g)5(ANGL)6(g) 1(Pol()14,20.7)w Example Display Ans 1 – 24.989 – → 24.98979792 (r) 2 – 55.
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Function Calculations Example To calculate the possible number of different arrangements using 4 items selected from among 10 items Formula 10 P4 = 5040 Example Operation Display 10K6(g)3(PROB) 2(nPr)4w 5040 To calculate the possible number of different combinations of 4 items that can be selected from among 10 items Formula 10 2-3 C4 = 210 Operation Display 10K6(g)3(PROB) 3(nCr)4w 210 k Fractions • Fractional values are displayed with the integer first, followed by the numerator and then t
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2-3 Function Calculations k Engineering Notation Calculations P.16 P.5 Input engineering symbols using the engineering notation menu. • Be sure to specify “Comp” for Calculation/Binary, Octal, Decimal, Hexadecimal Setting Mode. Example 999k (kilo) + 25k (kilo) = 1.024M (mega) 9 ÷ 10 = 0.9 = 900m (milli) Operation !Zccccc cccc4(Eng)J 999K 6(g)6(g)1(ESYM) 6(g)1(k)+251(k)w 9/10w K6(g)6(g)1(ESYM) 6(g)6(g) Display 1.024M 900.m ← 3(ENG)*1 0.9 ← 3(ENG)*1 0.0009k 2(ENG)*2 2(ENG)*2 0.9 900.
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Function Calculations 2-3 k Logical Operators (AND, OR, NOT) The logical operator menu lets you select the operator you need. K6(g)6(g)4(LOGIC) 1 2 3 4 5 6 1 (And) ........ AND (logical multiplication) 2 (Or) ........... OR (logical addition) 3 (Not) ......... NOT (negation) P.5 • Be sure to specify “Comp” for Calculation/Binary, Octal, Decimal, Hexadecimal Setting Mode.
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2-3 Function Calculations About Logical Operations • A logical operation always produces either 0 or 1 as its result. • The following table shows all of possible results that can be produced by AND and OR operations. Value or Expression A Value or Expression B A AND B A OR B AG0 BG0 1 1 AG0 B=0 0 1 A=0 BG0 0 1 A=0 B=0 0 0 • The following table shows the results produced by the NOT operation.