ENGLISH
DISPLAY
• Floating point system ←Symbol
SCIENTIFIC CALCULATOR
MODEL
EL-501W
• Scientific notation system
OPERATION MANUAL
PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA 04AGK (TINSE0496THZZ) Mantissa Exponent (During actual use not all symbols are displayed at the same time.) If the value of mantissa does not fit within the range ±0.000000001 – ±9999999999, the display changes to scientific notation. The display mode can be changed according to the purpose of the calculation. 2ndF HYP : Appears when @ is pressed, indicating that the functions shown in orange are enabled. : Indicates that h has been pressed and the hyperbolic functions are enabled. If @ H are pressed, the symbols “2ndF HYP” appear, indicating that inverse hyperbolic functions are enabled.
INTRODUCTION
Thank you for purchasing the SHARP Scientific Calculator Model EL-501W. About the calculation examples (including some formulas and tables), refer to the reverse side of this English manual. Refer to the number on the right of each title on the manual for use. After reading this manual, store it in a convenient location for future reference.
Operational Notes
• Do not carry the calculator around in your back pocket, as it may break when you sit down. The display is made of glass and is particularly fragile. • Keep the calculator away from extreme heat such as on a car dashboard or near a heater, and avoid exposing it to excessively humid or dusty environments. • Since this product is not waterproof, do not use it or store it where fluids, for example water, can splash onto it. Raindrops, water spray, juice, coffee, steam, perspiration, etc. will also cause malfunction. • Clean with a soft, dry cloth. Do not use solvents or wet cloth. • Do not drop it or apply excessive force. • Never dispose of batteries in a fire. • Keep batteries out of the reach of children. • This product, including accessories, may change due to upgrading without prior notice. SHARP will not be liable nor responsible for any incidental or consequential economic or property damage caused by misuse and/or malfunctions of this product and its peripherals, unless such liability is acknowledged by law. o Press the RESET switch (on the back), with the tip of a ball-point pen or similar object, only in the following cases. Do not use an object with a breakable or sharp tip. Note that pressing the RESET switch erases all data stored in memory. • When using for the first time • After replacing the batteries • To clear all memory contents • When an abnormal condition occurs and all keys are inoperative. If service should be required on this calculator, use only a SHARP servicing dealer, SHARP approved service facility, or SHARP repair service where available.
DEG/RAD/GRAD: Indicates angular units and changes each time G is pressed. The default setting is DEG. () BIN OCT HEX : Appears when a calculation with parentheses is performed by pressing (. : Indicates that @ ê has been pressed. Binary system mode is selected. : Indicates that @ î has been pressed. Octal system mode is selected. : Indicates that @ ì has been pressed. Hexadecimal system mode is selected.
CPLX : Indicates that @ π has been pressed. Complex number mode is selected. STAT M E : Indicates that @ Æ has been pressed. Statistics mode is selected. : Indicates that a numerical value is stored in the independent memory. : Appears when an error is detected.
BEFORE USING THE CALCULATOR Key Notation Used in this Manual
In this manual, key operations are described as follows: To specify A (HEX) : A To specify π :@V To specify Exp :E Functions that are printed in orange above the key require @ to be pressed first before the key. Numbers are not shown as keys, but as ordinary numbers.
Power On and Off
Press ª to turn the calculator on, and F to turn it off.
Hard Case Clearing Numbers
• Press ª to clear the entries except for a numerical value in the independent memory and statistical data. • Press æ to clear the number entered prior to use of function key. • In case of one digit correction of the entered number, press ø (right shift key).
Priority Levels in Calculation
This calculator performs operations according to the following priority: 1 Functions such as sin, x2, and % 2 yx, x¿y 3 ×, ÷ 4 +, – 5 =, M+ and other calculation ending instruction • Calculations which are given the same priority level are executed in sequence. • If parentheses are used, parenthesized calculations have precedence over any other calculations. • Parentheses can be continuously used up to 15 times unless pending calculations exceed 4.
SCIENTIFIC CALCULATIONS
• Calculate in the normal mode. • In each example, press ª to clear the display.
Arithmetic Operations
• The closing parenthesis ) just before = or ; may be omitted. • When entering only a decimal place, it is not necessary to press 0 before ..
Constant Calculations
• In the constant calculations, the addend becomes a constant. Subtraction and division are performed in the same manner. For multiplication, the multiplicand becomes a constant.
INITIAL SET UP Mode Selection
Normal mode: ª Used to perform arithmetic operations and function calculations. BIN, OCT, HEX, CPLX and STAT are not displayed. Binary, Octal, Decimal, or Hexadecimal system mode: @ê, @î, @í or @ì Complex number mode: @π Used to perform arithmetic operations with complex numbers. To clear this mode, press @π. Statistics mode: @Æ Used to perform statistical calculations. To clear this mode, press @Æ. When executing mode selection, statistical data will be cleared even when reselecting the same mode. • By pressing F or Automatic power off function, the mode is cleared and returned to the normal mode.
Functions
• Refer to the calculation examples of each function. • For most calculations using functions, enter numerical values before pressing the function key.
Random Numbers
A pseudo-random number with three significant digits can be generated by pressing @ `. Random number generation is not possible when binary/octal/hexadecimal system mode is set.
Angular Unit Conversions
Each time @ g are pressed, the angular unit changes in sequence.
Memory Calculations
This calculator has one independent memory (M). It is available in the normal mode and binary, octal, hexadecimal system mode. • The independent memory is indicated by the three keys: O, R, ;. Before starting a calculation, clear the memory by pressing ª and O. • A value can be added to or subtracted from an existing memory value. When subtracting a number from the memory, press ± and ;. • The contents of the memory are retained even when the calculator is turned off. A value stored in memory will thus remain until it is changed or until the batteries run out.
Selecting the Display Notation and Decimal Places
• When calculation result is displayed in the floating point system, pressing ∞ displays the result in the scientific notation system. Pressing ∞ once more displays the result again in the floating point system. • Pressing @i and any value between 0 and 9 specifies the number of decimal places in the calculation result. To clear the setting of decimal places, press @ i ..
100000÷3= [Floating point] [TAB set to 2] →[Scientific notation] →[Floating point]
Chain Calculations
This calculator allows the previous calculation result to be used in the following calculation. The previous calculation result will not be recalled after entering multiple instructions.
ª100000/3= @i 2 ∞ ∞@i.
33333.33333 33333.33 3.33 04 33333.33333
Time, Decimal and Sexagesimal Calculations
This calculator performs decimal-to-sexagesimal conversion and sexagesimal-to-decimal conversion. In addition, the four basic arithmetic operations and memory calculations can be carried out using the sexagesimal system. Notation for sexagesimal is as follows:
• If the value for floating point system does not fit in the following range, the calculator will display the result using scientific notation system: 0.000000001 ≤ | x | ≤ 9999999999
Determination of the Angular Unit
In this calculator, the following three angular units (degrees, radians, and grads) can be specified.
DEG (°)
123.404080 degree minute Note: When the calculation or conversion result is converted, a residual may occur. second
Press G
GRAD (g) RAD (rad)
Coordinate Conversions
• Before performing a calculation, select the angular unit.
Y y 0 x X P (x,y) Y P (r,θ )
STATISTICAL CALCULATIONS
Press @ Æ to select statistics mode. The following statistics can be obtained: x sx σx n Σx Σ x2 Mean of samples (x data) Sample standard deviation (x data) Population standard deviation (x data) Number of samples Sum of samples (x data) Sum of squares of samples (x data)
↔
0
r θ X
Rectangular coord.
Polar coord.
BINARY, OCTAL, DECIMAL, AND HEXADECIMAL OPERATIONS (N-BASE)
This calculator can perform the four basic arithmetic operations, calculations with parentheses and memory calculations using binary, octal, decimal, and hexadecimal numbers. When performing calculations in each system, first set the calculator in the desired mode before entering numbers. It can also perform conversions between numbers expressed in binary, octal, decimal and hexadecimal systems. Conversion to each system is performed by the following keys: Ï ê : Converts to the binary system. “BIN” appears. Ï î : Converts to the octal system. “OCT” appears. Ï ì : Converts to the hexadecimal system. “HEX” appears. Ï í : Converts to the decimal system. “BIN”, “OCT”, and “HEX” disappear from the display. Conversion is performed on the displayed value when these keys are pressed. Note: In this calculator, the hexadecimal numbers A – F are entered by pressing E, Ñ, ⁄, ´, I, and l, and displayed as follows:
F A B C D E
Data Entry and Correction
Entered data are kept in memory until @ Æ or F are pressed. Before entering new data, clear the memory contents. [Data Entry] Data k Data * frequency k (To enter multiples of the same data) [Data Correction] Correction prior to pressing k: Delete incorrect data with ª. Correction after pressing k: Reenter the data to be corrected and press @ J. • The number displayed after pressing k or @ J during data entry or correction is the number of samples (n).
Statistical Calculation Formulas
In the statistical calculation formulas, an error will occur when: • the absolute value of the intermediate result or calculation result is equal to or greater than 1 × 10100. • the denominator is zero. • an attempt is made to take the square root of a negative number.
A → å, B → ∫, C → ç, D → ∂, E → é, F → ƒ
In the binary, octal, and hexadecimal systems, fractional parts cannot be entered. When a decimal number having a fractional part is converted into a binary, octal, or hexadecimal number, the fractional part will be truncated. Likewise, when the result of a binary, octal, or hexadecimal calculation includes a fractional part, the fractional part will be truncated. In the binary, octal, and hexadecimal systems, negative numbers are displayed as a complement.
ERROR AND CALCULATION RANGES Errors
An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. In the case of an error, the display will show “E”. An error can be cleared by pressing ª.
Calculation Ranges
• Within the ranges specified, this calculator is accurate to ±1 of the least significant digit of the mantissa. However, a calculation error increases in continuous calculations due to accumulation of each calculation error. (This is the same for yx, x¿ , ex, ln, etc., where continuous calculations are performed internally.) Additionally, a calculation error will accumulate and become larger in the vicinity of inflection points and singular points of functions. • Calculation ranges ±10-99 ~ ±9.999999999×1099 and 0. If the absolute value of an entry or a final or intermediate result of a calculation is less than 10–99, the value is considered to be 0 in calculations and in the display.
COMPLEX NUMBER CALCULATIONS
To carry out addition, subtraction, multiplication, and division using complex numbers, press @π to select the complex number mode. • A complex number is represented in the a + bi format. The “a” is the real part while the “bi” is the imaginary part. When inputting the real part, after inputting the number press a. When inputting the imaginary part, after inputting the number press b. To obtain the result press =. • Immediately after completing calculation, you can recall the value of the real part with a, and the value of the imaginary part with b. • If the complex numbers are represented as polar coordinates, press @} after they are input with a and b.
BATTERY REPLACEMENT Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leakage or explosion. Be sure to observe the following handling rules: • Replace both batteries at the same time. • Do not mix new and old batteries. • Make sure the new batteries are the correct type. • When installing, orient each battery properly as indicated in the calculator. • Batteries are factory-installed before shipment, and may be exhausted before they reach the service life stated in the specifications.
SPECIFICATIONS
Calculations: Scientific calculations, binary/octal/ hexadecimal number calculations, complex number calculations, statistical calculations, etc. Internal calculations: Mantissas of up to 10 digits Pending operations: 4 calculations Power source: 3V ¶ (DC): Alkaline batteries (LR44) × 2 Power consumption: 0.0005 W Operating time: Approx. 3000 hours when continuously displaying 55555. at 25°C (77°F). Varies according to use and other factors. Operating temperature: 0°C – 40°C (32°F – 104°F) External dimensions: 78.6 mm (W) × 144 mm (D) × 11.6 mm (H) 3-3/32” (W) × 5-21/32” (D) × 15/32” (H) Weight: Approx. 75 g (0.17 lb) (Including batteries) Accessories: Batteries × 2 (installed), operation manual, quick reference card and hard case
When to Replace the Batteries
If the display has poor contrast, the batteries require replacement.
Caution
• Fluid from a leaking battery accidentally entering an eye could result in serious injury. Should this occur, wash with clean water and immediately consult a doctor. • Should fluid from a leaking battery come in contact with your skin or clothes, immediately wash with clean water. • If the product is not to be used for some time, to avoid damage to the unit from leaking batteries, remove them and store in a safe place. • Do not leave exhausted batteries inside the product. • Do not fit partially used batteries, and be sure not to mix batteries of different types. • Keep batteries out of the reach of children. • Exhausted batteries left in the calculator may leak and damage the calculator. • Explosion risk may be caused by incorrect handling. • Do not throw batteries into a fire as they may explode.
FOR MORE INFORMATION ABOUT SCIENTIFIC CALCULATOR
Visit our Web site. http://sharp-world.com/calculator/
Replacement Procedure
1. Turn the power off by pressing F. 2. Loosen both screws and remove the battery cover. (Fig. 1) Fig. 1 Fig. 2
3. Remove the used batteries then replace with two fresh batteries with the positive sides (+) facing up. (Fig. 2) 4. Replace the battery cover and screws. 5. Press ª. • Make sure that the display appears as shown below. If the display does not appear as shown, reinstall the batteries and check the display once again.
Automatic Power Off Function
This calculator will turn itself off to save battery power if no key is pressed for approximately 8 minutes.
SHARP CORPORATION
EL-501W
CALCULATION EXAMPLES ANWENDUNGSBEISPIELE EXEMPLES DE CALCUL EJEMPLOS DE CÁLCULO EXEMPLOS DE CÁLCULO ESEMPI DI CALCOLO REKENVOORBEELDEN PÉLDASZÁMÍTÁSOK PŘÍKLADY VÝPOČTŮ RÄKNEEXEMPEL LASKENTAESIMERKKEJÄ èêàåÖêõ ÇõóàëãÖçàâ UDREGNINGSEKSEMPLER
34+57= 45+57= 79–59= 56–59= 56÷8= 92÷8= 68×25= 68×40= 34 + 57 = 45 = 79 - 59 = 56 = 56 / 8 = 92 = 68 * 25 = 40 =
91. 102. 20. –3. 7. 11.5 1700. 2720.
sutSUTVGh HIle¡≈L⁄™ Á#!% sin60[°]= cos–[rad]= π 4
ª 60 s G@V/ 4 =u G 1 @T G
0.866025403
0.707106781 50.
CONTOH-CONTOH PENGHITUNGAN CONTOH-CONTOH PERHITUNGAN
tan–11=[g]
(cosh 1.5 + sinh 1.5)2 = tanh–15 = – 7 ln 20 =
ª( 1.5 hu+ 1.5 hs)L 20.08553692 5/7= @Ht 20 I 50 l 3 @e
0.895879734 2.995732274 1.698970004 20.08553692 50.11872336
ªæøº
3× 4×5 k ↓ 4×6+7= 134 k ↓ 123 34→43 3* ª 4*5 æ 6+7= 134 øø 23 3 ™ 4 @º=
log 50 =
3. 0. 5. 0. 31. 134. 1. 123. 64.
e3
= =
101.7
–+–=
1.7 @¡ 6 @≈+ 7 @ ≈= 8 ™ 2 ±- 3 ™ 4 * 5 L= 12 ™ 3 ™ 4 @≈= 49 ⁄- 81 @Á 4= 27 @# 4 @! 500 * 25 @%= 120 / 400 @%=
1 1 6 7
0.309523809
8–2 – 34× 52 =
1 – (123) 4 =
–2024.984375
6.447419591
¿49 – ¿81 =
4
+-*/()±E
3
4. 3. 24. 125. 30. 625. 280.
¿27=
45+285÷3= 18+6 = 15–8 42×(–5)+120= ª 45 + 285 / 3 = ( 18 + 6 )/ (15-8=
140.
4! =
3.428571429 –90.
500×25%= 120 ÷400=?%
42 * 5 ±+ 120 =
500+(500×25%)= 500 + 25 @%= (5×103)÷(4×10–3)= 5 E 3 / 4 E 3 ±=
1250000.
400–(400×30%)= 400 - 30 @%=
6+4=ANS ANS+5 44+37=ANS √ANS=
ª6+4= +5= 44 + 37 = ⁄
10. 15. 81. 9.
´¨
12°39’18”05 → [10] 123.678 → [60] ª 12.391805 ´
12.65501389
123.678 @¨
123.404080 0.884635235
sin62°12’24” = [10] 62.1224 ´s
θ = sin–1 x, θ = tan–1 x
DEG RAD GRAD
θ = cos–1 x
0 ≤ θ ≤ 180 0≤θ≤π 0 ≤ θ ≤ 200
ab{}
ª6a4b @{[r ] b[θ] a[r ] 14 a 36 b @}[x] b[y] a[x]
π π –—≤θ≤— 2 2
–100 ≤ θ ≤ 100
–90 ≤ θ ≤ 90
x=6 r= → y = 4 θ = [°]
7.211102551 33.69006753 7.211102551
g
90°→ [rad] → [g] → [°] sin–10.8 = [°] → [rad] → [g] → [°] ª 90 @g @g @g 0.8 @S @g @g @g
1.570796327 100. 90. 53.13010235 0.927295218 59.03344706 53.13010235
x= r = 14 → θ = 36[°] y =
11.32623792 8.228993532 11.32623792
êîìí
DEC(25)→BIN HEX(1AC) → BIN → OCT → DEC BIN(1010–100) ×11 = HEX(1FF)+ OCT(512)= HEX(?) 2FEC– 2C9E=(A) +)2000– 1901=(B) (C) → DEC ª@í 25 @ê ª@ì 1AC @ê @î @í
11001.
RO;
ªO 8 * 2 =O 24 /R= R* 5 = ªO 12 + 5 =; 2 + 5 =±; 12 * 2 =; R 140 O 33775 /R= 2750 *R= 3O @V*R L=
110101100. 654. 428.
24÷(8×2)= (8×2)×5=
16. 1.5 80.
ª@ê( 1010 - 100 ) * 11 = 10010. ª@ì 1FF @î+ 512 = 1511. @ì 349. ªO@ì 2FEC 2C9E ; 2000 1901 ; R @í
12+5 –) 2+5 +)12×2 M $1= ¥140 ¥33,775=$? $2,750=¥? r = 3cm πr2 = ?
17. –7. 24. 34. 140. 241.25 385000. 3. 28.27433388
34E. 6FF. A4d. 2637.
πab{}
CPLX @π 0. (12–6i) + (7+15i) 12 a 6 ±b+ 7 a 15 b 8. – (11+4i) = - 11 a 4 b= b 5. a 8. 6×(7–9i) × (–5+8i) = 6 a* 7 a 9 ±b* 222. 5 ±a 8 b= b 606.
• • • •
DATA 30 40 40 50 ↓ DATA 30 45 45 45 60 @Æ@Æ 30 k 40 * 2 k 50 k 50 @J 40 * 2 @J
STAT 0. 1. 3. 4.
3. 1.
45 * 3 k 60 k
4. 5.
16×(sin30°+icos30°) 16 a* 30 sa 30 ub = (sin60°+icos60°) / 60 sa 60 ub 13.85640646 = b 8. y A r1 θ1 θ2
x = Σx n sx = Σx2 – nx2 n–1
r θ r2
B x
8 a 70 b@} + 12 a 25 b@} 18.5408873 =@{ [r] b [θ] 42.76427608
σx =
Σx2 – nx2 n
Σx = x1 + x2 + ··· + xn Σx2 = x12 + x22 + ··· + xn2
r1 = 8, θ1 = 70° r2 = 12, θ2 = 25° ↓ r = ?, θ = ?° (1 + i) ↓ r = ?, θ = ?° 1 a 1 b= @{ [r] b [θ]
1. 1.414213562 45.
ÆkJ~£pnzw
DATA 95 80 80 75 75 75 50 x= σx= n= Σx= Σx2= sx= sx2= STAT 0. 1. 3. 6. 7.
Function Funktion Fonction Función Função Funzioni Functie Függvény Funkce Funktion Funktio îÛÌ͈Ëfl Funktion
Dynamic range zulässiger Bereich Plage dynamique Rango dinámico Gama dinâmica Campi dinamici Rekencapaciteit Megengedett számítási tartomány Dynamický rozsah Definitionsområde Dynaaminen ala ÑË̇Ï˘ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ Dynamikområde
@Æ 95 k 80 * 2 k 75 * 3 k 50 k
Fungsi Fungsi DEG:
Julat dinamik Kisaran dinamis | x | ≤ 4.499999999 × 1010 (tan x : | x | ≠ 90 (2n–1))* | x | ≤ 785398163.3 π (tan x : | x | ≠ – (2n–1))* 2 | x | ≤ 4.999999999 × 1010 (tan x : | x | ≠ 100 (2n–1))* | x | ≤ 4.500000008 × 1010 | x | ≤ 785398164.9 | x | ≤ 5.000000009 × 1010
~ @p n @z @w £ L
75.71428571 12.37179148 7. 530. 41200. 13.3630621 178.5714286
sin x, tan x
RAD: GRAD: DEG: RAD: GRAD: |x|≤1
cos x sin–1x, cos–1x tan–1x, 3¿x In x, log x ex 10x sinh x, cosh x
• • • •
| x | < 10100 10–99 ≤ x < 10100 –10100 < x ≤ 230.2585092 –10100 < x < 100 | x | ≤ 230.2585092
• • • •
• • • • tanh x sinh–1 x cosh–1 x tanh–1 x x2 ¿x
1/x
In Europe:
| x | < 10100 | x | < 5 × 1099 1 ≤ x < 5 × 1099 |x| 0: • y = 0: • y < 0:
100 100
Quest’ apparecchio è conforme ai requisiti della direttiva 89/ 336/EEC come emendata dalla direttiva 93/68/EEC. 89/336/ . Este equipamento obedece às exigências da directiva 89/336/ CEE na sua versão corrigida pela directiva 93/68/CEE. Este aparato satisface las exigencias de la Directiva 89/336/ CEE modificada por medio de la 93/68/CEE. Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC så som kompletteras av 93/68/EEC. Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i endringen 93/68/EEC. Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on muutettu direktiivillä 93/68/EEC. чÌÌÓ ÛÒÚÓÈÒÚ‚Ó ÒÓÓÚ‚ÂÚÒÚ‚ÛÂÚ Ú·ӂ‡ÌËflÏ ‰ËÂÍÚË‚˚ 89/336/EEC Ò Û˜ÂÚÓÏ ÔÓÔ‡‚ÓÍ 93/68/EEC. Ez a készülék megfelel a 89/336/EGK sz. EK-irányelvben és annak 93/68/EGK sz. módosításában foglalt követelményeknek. Tento pfiístroj vyhovuje poÏadavkÛm smûrnice 89/336/EEC v platném znûní 93/68/EEC. , 93/68/
DRG |
yx
–10 < x lny ≤ 230.2585092 0 < x < 10100 x=n 1 (0 < | x | < 1: – = 2n–1, x ≠ 0)*, x –10100 < x ln | y | ≤ 230.2585092
1 –10100 < – lny ≤ 230.2585092 (x ≠ 0) x
• y > 0: • y = 0: x¿y • y < 0:
0 < x < 10100 x = 2n–1 1 (0 < | x | < 1 : – = n, x ≠ 0)*, x –10100 < – ln | y | ≤ 230.2585092 x
1
(A+Bi)+(C+Di) (A+Bi)–(C+Di) (A+Bi)×(C+Di)
| A ± C | < 10100 | B ± D | < 10100 (AC – BD) < 10100 (AD + BC) < 10100 AC + BD < 10100 C2 + D2 BC – AD < 10100 C2 + D2 C2 + D2 ≠ 0 DEC BIN OCT HEX : | x | ≤ 9999999999 : 1000000000 ≤ x ≤ 1111111111 0 ≤ x ≤ 111111111 : 4000000000 ≤ x ≤ 7777777777 0 ≤ x ≤ 3777777777 : FDABF41C01 ≤ x ≤ FFFFFFFFFF 0 ≤ x ≤ 2540BE3FF
(A+Bi)÷(C+Di)
→DEC →BIN →OCT →HEX
* n: integer / ganze Zahlen / entier / entero / inteiro / intero / geheel getal / egész számok / celé číslo / heltal / kokonaisluku / ˆÂÎ˚ / heltal / / / / integer / bilangan bulat