Sharp EL-546L, EL-556L User Manual

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Machine Translated by Google

CONTENTS

INTRODUCTION .................................................................. 2 WHAT TO DO

WHEN ABNORMAL CONDITIONS OCCUR .................. 3

DISPLAY ............................................................................ 3 READ BEFORE

USING THE CALCULATOR .................................................. 5 INITIAL

SETTING ..................................................................

7 SCIENTIFIC CALCULATIONS .................................................. 11 Arithmetic

Calculations ............................................................ 11

Functions ............................................................................ 11 Random

Numbers .................................................................. 11 Angle Unit

Conversions .................................................. 12 Memory

Calculations .................................................. 12 Fraction

Calculations .................................................. 13 Binary, Octal, Decimal, and

Hexadecimal Number Systems (N-Base)................................................ 13

Time calculations - decimal and base

sexagesimal.................................................................. 14 Coordinate

transformations.................................................. 15 Calculations using

physical constants............................ 15 Conversion of numbers in the metric

system.................. 17 Modification function..................................................

18 COMPLEX NUMBERS CALCULATIONS............................ 19

SOLVING A SYSTEM OF LINEAR EQUATIONS

WITH THREE UNKNOWNS .................................................. 19

STATISTICAL CALCULATIONS ............................................ 21

ERRORS AND CALCULATION RANGE .................................. 24

SCIENTIFIC AND CALCULATOR FUNCTIONS ............ 25

BATTERY REPLACEMENT .................................................. 27

TECHNICAL DATA .................................................................. 29

CALCULATION EXAMPLES .................................................. 30

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Scientific calculators EL-546L/EL-556L

• Always close the calculator in its case when not in use. To do this, follow the steps above in reverse order.

PROCEDURE IN THE EVENT OF AN OCCURRENCE ABNORMAL CONDITIONS

If the calculator is exposed to a strong external electric field or a strong impact during operation, it may cause all buttons, including the [ON/C] button, to stop working. In such cases,

case, press the RESET button on the back of the device. Please note that after performing this operation, the contents of the memory will be erased. ! The RESET button should only be used in the

following situations: • After

replacing the batteries; • To clear all memory contents; • When abnormal conditions occur or all buttons stop working.

If the calculator requires repair, it should only be repaired by a SHARP dealer, a SHARP service center or a SHARP authorized service center.

DISPLAY

Symbols

This device complies with the requirements of standard 89/336/EEC as amended by 93/68/EEC.

Scientific calculators EL-546L/EL-556L

page 1

INTRODUCTION

We are pleased that you have chosen the SHARP EL-546L or SHARP EL-556L scientific calculator. This manual is intended to help you become familiar with this device. Please keep it for future reference.

Attention:

• The information provided in the following instructions applies to both calculator models unless otherwise stated.

To ensure trouble-free operation of the device, please adhere to the following rules: 1. Do not carry the calculator in the back pocket of your pants.

2. Do not expose the device to extreme temperatures.

3. Please protect the calculator from being dropped or subjected to excessive pressure.

4. The casing of the device should only be cleaned with with a dry, soft cloth.

Protective casing

The calculator comes with a case to protect the buttons and display when not in use.

1. Press the back end of the calculator and then slide device forward.

2. Turn the calculator to insert it into the case.

Equation

Mantissa

Exponent

(Not all messages and symbols are displayed during normal operation.) If the displayed value is between ±0.000000001 and ±9999999999, only the mantissa is displayed. Otherwise, the display automatically switches to scientific notation. You can select the notation system depending on the type of calculation you are performing.

Scientific calculators EL-546L/EL-556L

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The entered equation is displayed in the center of the display.

The meaning of symbols and messages is given below. appearing at the top of the display.

"#: Appears on the display if the entire equation or result cannot

be displayed.

xy r

2ndF:

Indicates the type of the result in complex number calculations.

This message appears on the display after pressing the second function button [2ndF]. This means that the second function of the button, shown in yellow on the keyboard, is activated.

HYP:

Hyperbolic function message appears on the display

after pressing the [hyp] button. After pressing the [2ndF]

[hyp]

buttons, the display will show the

message "2ndF HYP"

indicating that inverse hyperbolic functions are active.

ALPHA :

A message indicating that it may be an operation to enter and display the contents of memory or an operation to display statistical

FIX SCI ENG:

DEG RAD HILL:

data was performed.

Notation system messages.

Angle unit messages.

ALGB : This message appears on the display after

switching on the substitution mode.

Message indicating that a numeric value is stored in

independent memory.

ÿ: ? :

ÿ :

and :

Indicates the selected operating mode.

Indicates that the calculator expects a numeric value to be entered in substitution mode.

Message indicating that an angle is being displayed (as a result of a complex number calculation) A message indicating that a part is being displayed

imaginary of a complex number.

Machine Translated by Google

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Scientific calculators EL-546L/EL-556L

READ BEFORE USING CALCULATOR

The calculations in the calculator are performed based on logic algebraic. The algebraic logic system allows for easy entry of equations, i.e., as they appear in reality. For example, in To perform the operation sin 30 + cos 45, press successively buttons [sin]30[+][cos]45[=]. Calculations - from the simplest to the most complicated equations - can be carried out in an easy-to-understand manner. Each expression can be up to 159 characters long. • When using the calculator for the first time, press the RESET button on the back of the device.

Button notation used in the manual

The following button notation is used in this manual.

ex E

[ln] [2ndF][e

]

Logarithm button

Ex function button Hexadecimal E button

[E]

Memory Calculation Button

[X]

Exp

[Exp] [2ndF] [ÿ]

Exponent button Pi number button

As shown above, if you use the second function after the [2ndF] button, only the second function will be shown in this manual. This will be recorded as pressing the [2ndF][2nd function] buttons, meaning that you must first press the [2ndF] button and then the desired second function button. The first function (or digit) that is shown on the button will not be shown in this case. The entered digits are not shown as buttons in this manual, but as digits.

Turning the power on and off

To turn on the power, press the [ON/C] button. To turn off the power, press the [2ndF][OFF] buttons.

Scientific calculators EL-546L/EL-556L

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Ways to delete numbers or operations

There are three methods for deleting numbers or operations:

[ON/C]

Pressing the formulas.

button deletes all values, calculation functions and

this

(This does not apply to the coefficients of a system of linear equations with three unknowns, statistical data, and the contents of memory in standard operation.)

[2ndF][CA

Pressing

these buttons will clear all values except

]

contents of all independent memories in standard operating mode. It also causes deleting the contents of statistical memories.

[DEL]

Pressing the

this

button while entering a number deletes the last displayed digit. Pressing this button in edit mode deletes one digit, function, etc., where the cursor is located.

Operation Priorities

The calculations are performed in the following order: 1. ÿ, display the contents of memory 2. ÿ 2

3. Functions preceded by an argument (x , x Yx

4. Y

-1

, n!, etc.)

5. Multiplying the value stored in memory (2A etc.)

6. Functions followed by an argument (sin, cos, etc.)

7. Multiplication of functions (2sin30 etc.)

8. nCr, nPr 9. ×, ÷

10. +, -

11. AND

12. OR, XOR, XNOR

13. =, M+, M-, ÿM, DEG, RAD, GRAD, ÿBIN, ÿOCT, ÿHEX, ÿDEC, xí, yí, DATA, CD, ÿrÿ, ÿxy, % and other operations to complete calculations.

Machine Translated by Google

• When parentheses are used, the expressions enclosed in parentheses take precedence over other calculations.

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Scientific calculators EL-546L/EL-556L

Hanging operation

Operations that cannot be performed immediately due to the order of operations or the use of parentheses must be temporarily suspended (suspend operation). The calculator allows you to enter and store up to 16 operations and up to 8 numerical values (8 values in the standard mode and 4 values in the

complex number calculations, 3-VLE mode and statistical calculations mode).

INITIAL SETTING

Selecting the operating mode

The calculator can operate in one of the 4 operating modes described below. To select the operating mode, press [MODE] button and then enter the number corresponding to selected operating mode. [0]

Standard operating mode:

This mode is used when performing arithmetic operations, arithmetic substitution, and calculations involving functions. In the standard operating mode, the "ÿ" indicator appears under the string "0:NORMAL".

[1]

Complex Number Calculation Mode: This mode is used when performing complex number calculations. on complex numbers. In this mode, the "ÿ" indicator appears under the string "1:CPLX".

[2]

3-VLE mode: This mode is used when solving a system of linear equations with three unknowns. In this mode, the "ÿ" indicator appears under the "2:3-VLE" label.

[3]

Statistical Calculation Mode: This mode is used to perform statistical calculations. statistics. In the statistical calculation mode, the "ÿ" indicator appears under the text "3:STAT".

Choosing a Notation System

The calculator allows you to choose one of four systems notation of displayed values.

Fixed Decimal Place System: The displayed number has a user-defined

number of decimal places.

number of decimal places. If selected this is the way of presenting numbers, the display shows the message FIX.

Scientific calculators EL-546L/EL-556L

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the displayed value will be rounded according to the setting.

To determine the number of decimal places should be used when the calculation result is displayed or after deleting the displayed values using [ON/C] button, press the [2ndF][TAB] buttons, and then press the number button corresponding to the desired number of decimal places.

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Scientific calculators EL-546L/EL-556L

Determining the units of angle measurement

The calculator allows you to set one of three angle measurement units:

Degrees (°) Radians (rad) The display shows RAD Grady (g)

To specify the angle measurement units, press

[DRG] button. Each press of the [DRG] button selects the angle measurement units in the sequence DEG ÿ RAD ÿ GRAD ÿ DEG etc.

Note: For the examples later in this manual, make sure that none of the

ÿ, FIX, SCI, ENG - see section "Choosing the notation system" BIN, OCT, HEX - see point Ñ Number systems: binary, octal, decimal,

Edit equation

The calculator allows you to edit the equation not only while entering it, but also after the result has been determined.

[Editing an equation while entering an equation] • Press the [ ] button or the [ button to move the cursor; If you need to delete

a digit, move the cursor to

•

the position under the digit you want to delete, and then press the [DEL] button; This operation deletes the digit or character where the cursor is positioned.

•

If you need to insert a digit between existing digits, move the cursor so that it is in the next field after the digit you want to insert.

new digit inserted, and then enter the digit.

[Editing the equation after calculating the result] • Press the [2ndF][ ] buttons to return to the

equations;

• Edit in the same way as described

The display shows DEG

A message appears on the display HAIL

following messages are displayed:

hexadecimal

] in order to

above.

Scientific notation: The number

AND

is displayed in scientific notation. If this format is selected, the display shows SCI. The mantissa of the value is displayed with the specified number of decimal places.

ENG Engineering notation system: The

number is displayed in engineering notation. If this way of presenting numbers is selected, the display shows ENG. The mantissa of the value is displayed with a specified number of places after the decimal point. In addition to the mantissa, the

is an exponent that is a multiple of 3.

Floating point system:

The number is displayed with a variable number of decimal places. If this

data presentation is selected, no message is shown on the display.

Values outside the range 0.000000001 ÿ ÿxÿ ÿ 9999999999 are displayed in scientific notation.

In order to change the notation system, you must do so when the calculation result is displayed or after clearing the displayed values with the [ON/C] button, press the [2ndF][FSE] buttons. Each press of the buttons

[2ndF][FSE] selects one of the notation systems in the sequence: FIX ÿ SCI ÿ ENG ÿ Floating point system ÿ FIX etc.

Determining the number of decimal places

If the fixed decimal notation system, scientific notation system, or engineering notation system is selected (FIX, SCI, or ENG is displayed), you can set a fixed number of decimal places in the range 0 to 9. After setting the number of decimal places

Scientific calculators EL-546L/EL-556L

Arithmetic substitution

If it is necessary to evaluate the same equation multiple times for different values, e.g. when drawing the curve y=2x+1 or finding solutions

the equation 2x + 2y = 14, you only need to enter the equation once and then enter different values of the equation variables. • The following variables can be used: AD, M, X and Y

• It is not possible to use the following functions: RANDOM and calculation termination commands.

Note: the expression must contain at least one variable. Example: Enter expression 2A and 2B and then find

such a value of variable B that, with the known value of A, the result of the equation is 14.

A 1

3 4 5

Buttons pressed

1 [MODE] 0 2 2 [2ndF][ALPHA][A][+] 2

[2ndF][ALPHA][A]

[2ndF][ALGB] 1

4 [=] 4 5

[=] [2ndF][ALGB] 6 7 [=] 6

Display Notes

2A+2B_

2A+2B_ ?

2A+2B_

10.

0. *

1. *

4. *

1. *

page 9

Machine Translated by Google

2A+2B_

14. *

8 [=] 9

*1 The calculator asks you to enter the value of variable A when

"?" is displayed and variable A flashes. In this case, "1" should be entered. When the equation exceeds 12 characters and the "?" is displayed, you can check it by pressing [ *2 The "?" is displayed and variable B flashes,

which means that the calculator asks for a value for

], [

variable B.

In this case you must guess the value of B by entering "4".

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Scientific calculators EL-546L/EL-556L

*3 The result of the equation is different from "14", which means that the value

B is not correct.

*4 Redisplay the equation. The calculator displays

the number last entered as the variable value.

*5 Since it is not necessary to change the value of variable A, simply press the

[=] button. The calculator then moves on to variable B. In this case, guess the value of B by entering "6".

*6 Redisplay the equation and try to find

solution for a different value of variable B.

Answers: A=1 B=6, A=2 B=5, A=3 B=4

A=4 B=3, A=5 B=2, A=6 B=1

SCIENTIFIC CALCULATIONS

•

If one of the FIX messages appears on the display, SCI or ENG, it must be deleted by pressing the [2ndF][FSE] buttons (see the section "Selecting the notation system").

Arithmetic calculations (see table on page 30)

Functions (see table on pages 31 and 32)

Before performing calculations using the function, press the [ON/C] button. • Before starting the calculations, select the angle measurement unit (see section “Selecting the Angle

Measurement Units”).

Random numbers

Pressing the [2ndF][RANDOM][=] buttons generates a three-digit pseudorandom number. To generate the next random number, press the [=] button. This operation can be performed either in

in standard operating mode and in calculation mode statistical. • Random numbers use Y memory. Each random number is generated from a

value stored in Y memory (a series of pseudo-random numbers).

• Pressing the 0 [STO][M] buttons erases the contents of the independent memory (enters a zero value into it).

Temporary memories (A - D, X, Y) Temporary memories A - D, X and Y are available in standard operation mode. [STO][A] - [D], [X], [Y]: Enter

the displayed value into the specified temporary memory (A - D, X, Y).

[RCL][A] - [D], [X], [Y] or [2ndF][ALPHA][A] - [D], [X], [Y] [=]:

Displays the value stored in temporary memory (defined by pressing the appropriate letter button). • The contents of the temporary memory are cleared

when the operating mode changes or when a zero value is entered.

Last Result Memory Last Result Memory is available in the standard operating mode and in statistical calculation mode and in calculations on complex numbers.

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Scientific calculators EL-546L/EL-556L

The calculation result obtained after pressing the [=] button or another button ending the calculation is automatically entered into the last result memory. [2ndF] [ANS]:

Displaying the contents of the last result memory. • The contents

of the last result memory are

deleted when

the operating mode is changed.

Attention:

The results of calculations involving the functions given below are automatically entered into memory X or memory Y. For this reason, care should be taken when using these functions.

attention to memory X and memory Y.

• Random numbers •

ÿrÿ ÿxy

Calculations involving fractions (see table on page 33)

[a / ]:

This button is used to enter fractions or to convert numbers. [2ndF][d/c]: Pressing these buttons converts

numbers.

Memory Y Memory X, Memory Y

• Numbers with a decimal or exponential form cannot be entered as a fraction.

• In all cases, the integer part, numerator

and the denominator, up to 10 digits in total can be entered (including the ( ÿ ) symbol).

•

If the number of digits to be displayed is greater than 10, the number is converted and displayed in decimal format.

[El-546L calculator only] • To generate a new series of pseudo-random numbers, press the [ON/C][STO][Y]

buttons to clear the contents of the Y memory.

Scientific calculators EL-546L/EL-556L

page 11

Changing the units of measurement of angles (see table on page 32)

The units of angle measurement can be changed in the following sequence: degrees ÿ radians ÿ grads ÿ degrees etc.

Memory-intensive calculations (see table on pages 32 and 33)

The calculator has one independent memory (M), one memory last result and six temporary memories (A - D, X, Y).

Independent memory (M) Independent memory is available in standard operating mode.

[STO][M]:

Erases the contents of independent memory and enters the displayed value into it.

[RCL][M] or [2ndF][ALPHA][M][=]: Displays

the value stored in independent memory.

[M+]:

Add the

displayed value to the value stored in independent memory. [2ndF]

[M-]: Subtract the displayed value stored in

independent

memory.

values

From

Number systems: binary, octal, decimal and hexadecimal (N-Base).

(see table on pages 33 and 34) The calculator allows you to convert numbers in the following number systems: binary, octal, decimal and hexadecimal, as well as perform four basic arithmetic operations in these systems,

calculations using brackets and calculations using memory. In addition, it is possible to perform logical operations AND, OR, NOT, NEG, XOR and XNOR on binary, octal and hexadecimal numbers.

Scientific calculators EL-546L/EL-556L

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Converting a number to another number system is done as follows:

[2ndF][#BIN] Converting a number to the binary system.

The display shows Ñbî. [2ndF][#OCT] Converting the

number to the octal system.

display shows

[2ndF][#DEC] Converting a number to the decimal system.

The display shows Ñoî. [2ndF][#HEX] Converting the number system to hexadecimal. The

message ÑHî.

The other number system message disappears from the display.

By pressing one of the button combinations described above, the displayed number is converted to the selected number system.

Note: Entering numbers A - F in hexadecimal system is done by pressing the buttons:

Machine Translated by Google

[y ] , [ÿ] , [x ] , [log] , [ln] , [CNST] .

EDx A B F

These numbers are displayed as follows.

AÿA Bÿb

CÿC Dÿd

EÿE FÿF

In binary, octal and hexadecimal systems it is not possible to enter a fractional part. If the number in decimal system having a fractional part is converted to a number in one of these systems, the fractional part will be ignored. Negative numbers are displayed in binary, octal and hexadecimal systems as complement.

Time calculations - decimal and sexagesimal systems (see table on page 34) The calculator has the ability to perform transformations

numbers from the decimal system to the sexagesimal system and vice versa.

Additionally, in the sexagesimal system it is possible to perform four basic operations arithmetic and memory-based calculations. (These operations, in addition to memory-based calculations, are also available in the statistical calculation mode.)

p. 14

Scientific calculators EL-546L/EL-556L Coordinate transformation (see table on page 35) Coordinate transformation can be performed in standard mode and in calculation mode. statistics. • Before starting the calculations, you must select the unit

angle units (see section "Defining angle units"). [2ndF][ÿrÿ]: Converts

rectangular

coordinates (x, y) to polar coordinates (r, ÿ). [2ndF][ÿxy]:

Converting polar coordinates (r, ÿ) to rectangular coordinates (x, y).

and

Rectangular

P ( × , y )

P ( r, ÿ )

Polar coordinates

coordinates

[2ndF]

]: [ Enter the rectangular coordinate y or the polar coordinate ÿ. [ÿ][ÿ]: Switch between the x-coordinate and the y-

coordinate

or between the r-coordinate and the ÿ-coordinate.

• The calculation result is automatically entered into X memory and Y memory.

The value r or the value x is entered into memory X. The ÿ value or y value is entered into memory Y.

Calculations using physical constants (see table on page 35)

The selected physical constant is displayed by pressing the [CNST] key and entering the constant number. Constants are specified by two-digit numbers. For example, the speed of light in a vacuum is numbered "01".

[EL-546L]: All physical constants listed below are available (01-40)

[EL-556L]: Physical constants 01-32 are available

Scientific calculators EL-546L/EL-556L

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05 Proton mass 06 Neutron mass

07 Muon Rest Mass 08 Unit atomic mass 09 Electron charge

10 Planck's constant 11 Boltzmann constant

12 Magnetic permeability of a vacuum

13. Vacuum permittivity 14 Electron Radius

15 Fine structure constant 16

Bohr radius

Rydberg constant Flux unit

19 Bohr's Magneton 20 Electron magnetic moment 21 Nuclear magneton 22 The magnetic moment of the proton 23

Neutron magnetic moment

Muon magnetic moment

Compton wavelength for an electron

26 Compton wavelength for a proton 27 Stefan-Boltzmann constant

28 Avogadro's Constant 29

Volume of an ideal gas under standard conditions

30 Gas constant 31

Faraday's constant

32 Quantum Hole Resistance

page 16

No.

Electron charge to mass ratio electron 34

Quantum of circulation 35 Gyromagnetic coefficient of proton 36 Josephon ratio of frequency/voltage 37 38 Temperature Celsius (°C)

Electronovolt

Scientific calculators EL-546L/EL-556L

Constant

39 Astronomical Unit 40 Parsec

eh k

about

and

µµ ÿ

R F

Unit Symbol

e/me C

h/2m

and

2e/h

e.V.

Jmol

kg kg kg kg

Js -1

-1

Hmm

-1

m-1

Inb

T-1

-1

T-1

-2 -4

F m

-1

moth

-1

moth

-1

Cmol

kg-1

-1 -1

-1

V J K

m m

Converting numbers into metric systems (see table on page 35)

Converting numbers in the metric system can be performed in standard operation mode (when the decimal number system is used), 3-VLE mode and statistical calculation mode. [EL-546L]: All units listed below are available (01-40)

[EL-556L]: Units 01-32 are available

No.

02 03 04 05 06 07 08 09 10 11 12 13 14 15 16

18 19 20

21 22

Units

in ÿ cm cm ÿ in

ft ÿ mm

ÿft

yd ÿ mm ÿ

mi ÿ km

km ÿ mi n miles ÿ m m ÿ n miles

acre ÿ m2

2 m ÿ acre

oz ÿ g

g ÿ oz lb ÿ kg kg ÿ lb °F ÿ °C

°C ÿ °F gal (US) ÿ ll ÿ

gal (US) gal (UK) ÿ ll ÿ gal (UK)

in cm ft m

yd m

km n miles km acre

g lb

Comments

: inch :

centimeter : foot : meter : yard

: meter : nice : kilometer : nautical mile : kilometer

: acre

: square meter : ounce : I play

: pound

kg : kilogram °F : degree Farenheit °C : degree Celsius

gal (US) : gallon (US)

l : liter

gal (UK) : gallon (UK)

l : liter

-1

• The selected constant is displayed with the selected number of decimal places.

•

Physical constants can be displayed in a standard operating mode (when the decimal number system is used), 3-VLE mode and statistical calculation mode.

Note: Physical constants and metric units are based on the values given by the

ICSU Committee on Data Science and Technology in 1986 or on ISO standards.

No.

Constant 01 Speed of light in a vacuum

02 Gravitational constant 03 Gravitational acceleration 04 Electron mass

Symbol

c G Nm

Units

s-2

Scientific calculators EL-546L/EL-556L

No.

23 24 25 26 27 28 29

-1

kg-2

30 31 32 33

Units

fl oz (US) ÿ ml ml fl ÿ oz (US) fl oz (UK) ÿ ml ml fl ÿ oz (UK)

J ÿ inch inch ÿ J

hp ÿ kW kW ÿ hp ps ÿ kW

kW ÿ ps

kgf/cm ÿ Pa

fl oz (US) : fluid ounce (US) ml

Comments

: milliliter

fl oz (UK) : fluid ounce (UK) ml : milliliter

: joule :

calorie :

cal

horsepower

hp kW

: kilowat

: horsepower

: kilowat

page 17

Machine Translated by Google

34 35 36 37 38 39 40

Pa ÿ kgf/cm2

atm ÿ Pa

Pa ÿ atm

mmHg ÿ Pa

Pa ÿ mmHga

kgfm ÿ J

J ÿ kgfm

Bye

atm

:pascal :atmosphere

Pa : pascal (1mmHg = 1 Torr)

Bye : Pascal

: joule

Modification function (see table on page 35) In the described calculator, all calculation results are written internally in scientific notation, which means that the mantissa of the result can have up to 12 digits. However, since the calculation results are displayed in the notation chosen by the user and have user-specified number of decimal places, the results of internal calculations may differ from the result shown on the display. Using the modification function, the result of the internal calculation is modified so that it is the same as the displayed value. In this way, the error that would occur as a result of the difference between the value involved in the calculation and the displayed value is omitted in further calculations. This function can be useful, for example, when performing calculations in which every digit of the number is taken into account.

Generally, it is not the value that is taken into account in the calculations

shown on the display but the number stored in calculator registers.

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Scientific calculators EL-546L/EL-556L

COMPLEX NUMBERS CALCULATIONS

(see table on pages 35 and 36)

To add, subtract, multiply, and divide complex numbers, press [MODE][1] to enter the complex number calculation mode. There are two ways to display the results

and complex numbers: % in rectangular coordinates as a number z = a + bi (the display shows

xy) [2ndF][ÿ xy]

& in polar coordinates as a number

z = r(cosÿ+isinÿ) (the display shows rÿ) [2ndF][ÿ rÿ]

Entering complex numbers

% Rectangular coordinates x-

coordinate [+] y-coordinate [ i ] or x-coordinate [+] [ i ] y-coordinate

& Polar coordinates r [ÿ ] ÿ

r: absolute value ÿ: argument

• When

changing the operating mode, the imaginary part is deleted

numbers stored in memory M.

• A complex number written in rectangular coordinates with an imaginary value y = 0 or written in polar coordinates with argument value ÿ=0 is treated as a real number.

SOLVING A SYSTEM OF LINEAR EQUATIONS WITH THREE UNKNOWNS

(see table on pages 36 and 37)

To solve a system of linear equations with three unknowns, press [MODE][2] to select 3-VLE mode.

A system of linear equations with three unknowns:

+ + =

axbyczd

1 1 1

axbyczd

+ + 2

+ + =

212

3 3

Scientific calculators EL-546L/EL-556L

p. 19

In matrix notation, the system of equations can be written as: ÿ

11 1 1

and

With

33 3 3

111

, its determinant is defined as: ÿ

222 3 3 3

If D =

|D| =

ABC ABC

2 2 2 2

ABC

1 1 1

ABC

2 2 2

ABC

3 3 3

The value of the determinant is calculated based on the following formula:

D = a1(b c3 - b3c2) - b1(a2c3 - ac ) + c (ab - ab )

1 2 33 2

3 2

The values of the unknowns x, y and z are determined based on the formulas:

d (bc - bc ) - b (dc - dc ) + c (db - db

1 2 3

x =

a (dc - dc) - d (ac - ac) + c (ad - ad

1 2 3

y =

a (bd - bd) - b (ad - ad) + d (ab - ab

1 2 3

with =

1 2 3

3 2 3 2

1 2 3

3 2

1 2 33 2

1 2 3

3 2

1 2 3

3 2

1 2 3

)

3 2

)

3 2

)

3 2

Notes: • The determinant D=0 causes errors. • If the absolute value of the

intermediate results is 1×10 or more, an error occurs.

100

Calculations

1. Press the [MODE][2] buttons.

2. Enter the value of each coefficient from a to d according to the symbols shown on the display (after entering each

value, press [ENT] button).

3. After pressing the [ENT] button after entering the value d the calculated x value will be displayed. Subsequent presses of the [ENT] button will display the y, z and determinant |D| values.

• Coefficients can be entered using ordinary arithmetic operations. • To clear

the entered coefficient values,

you should press the [2ndF][CA] buttons. Values

Machine Translated by Google

coefficients are also cleared by pressing the [MODE][2]

buttons.

p. 20

Scientific calculators EL-546L/EL-556L

Note: Pressing the [ENT] button when

the value of the determinant is displayed D causes the coefficient values to be displayed. Each time the [ENT] key is pressed, the coefficient value is displayed - in the order in which they were entered.

This allows you to correct the coefficient values. (Pressing the [2ndF][ENT] or [2ndF][ ] buttons displays the coefficient values in

reverse order). To correct the value selected coefficient, it is necessary, when

is displayed, enter the correct value and press the

[ENT] button.

STATISTICAL CALCULATIONS

(see table on pages 37, 38, 39 and 40)

Statistical calculations can be performed by pressing the [MODE] [3] buttons. After selecting the calculation mode statistics, select the type of calculation by pressing the number button corresponding to the type number. If you want to change the statistical calculation type, press the [MODE][3][selected digit] buttons.

[0]: Statistical calculations for one variable.

The message STAT 0 is displayed.

Linear regression calculations.[1]:

STAT 1 is displayed.

[2]: Quadratic regression calculations.

STAT 2 is displayed.

[3]: Exponential regression calculations.

[4]:

Logarithmic regression calculations.

[5]:

Power regression calculations.

STAT 3 is displayed. STAT 4 is displayed. STAT 5 is displayed.

[6]: Inverse regression calculations.

STAT 6 is displayed.

The calculators allow you to determine the following statistical values (see table below): • Statistical calculations for one variable: [EL-546L]: % values and standard values

[EL-556L]: Values %

Scientific calculators EL-546L/EL-556L

• Calculations of the linear regression parameters: values of % and & and additionally determining the estimator x for a known value of y (x') and the

estimator y for a known value of x (y'). • Calculations of the exponential,

logarithmic, power,

additionally determining the estimator x for a known value of y (x') and the estimator y for a known value of x (y').

(Because the calculator converts each regression equation to a linear regression equation before starting the calculation, it is better to enter

transformed data than the basic values). • Calculation of

quadratic regression parameters: % values

and &, coefficients a, b and of the quadratic regression equation (y = a + bx + cx2 ). (for quadratic regression it is impossible to determine the value of the correlation coefficient (r)).

When determining the values of a, b and c, it can be maintained only one of them.

probability function.

and inverse regression

Sample mean (data x)

Standard deviation of the sample (data x)

parameters: values of % and & and

ÿx Standard deviation of the population (data x)

Population size ÿx

page 21

Total number of samples (data x)

2 ÿx

Sum of squares of samples (data x)

and

Sample mean (y data)

Standard deviation of the sample (y data) Population standard deviation (of y data)

ÿy ÿy Sum of samples (data y)

Sum of squares of samples (y data)

ÿy ÿxy Sum of the products of samples (data x, y)

Correlation coefficient

and

Regression equation coefficient

Quadratic regression equation coefficient

Data Entry The entered data is held in memory until the [2ndF][CA] buttons are pressed. Before entering new data, the contents of memory must be cleared.

An alternative way to clear the memory contents is to press the [MODE][3] buttons.

p. 22

Scientific calculators EL-546L/EL-556L

Single-variable data

Dana [DATE] Data [ , ], number of repetitions of data [DATA] (entering several identical data x)

Two-variable data

Given x [(x,y)], given y [DATE]

Given x [(x,y)], given y [ , ] the number of repetitions of the pair (x, y)

[DATA] (entering several identical data)

Correction of entered data

Correction before pressing the [DATA] button:

Use the [ON/C] button to delete the incorrect data. data. If the [ , ] button or the [(x,y)] button has not been pressed after entering incorrect data, the value can be corrected using the [DEL] button.

Correction after pressing the [DATA] button

If the [DATA] button was pressed last (no operation was performed afterwards), an incorrect the data can be deleted using the [2ndF][CD] buttons. If the [DATA] button has already been pressed, any operation performed, re-enter the data to be corrected and then press the [2ndF][CD] buttons.

Displaying the results of statistical calculations

• Values of y , sy, ÿy, x , sx, ÿx, ÿxy, ÿy, ÿy

b, cir can be displayed by pressing the [RCL] key and then the appropriate statistical key. • To determine the values of the estimates (xí or yí) the known value of y

(or the value of x) must be entered and

then press the [2ndF][xí] buttons (or [2ndF][yí] buttons).

Statistical calculation formulas

In the statistical calculation formulas given later in this manual (calculation examples), an error occurs if one of the following circumstances occurs: • the absolute value of the partial result or the final result is equal to or greater than 1 x 10100;

• the denominator is 0; • an attempt was made to square a negative number.

• there is no solution to the quadratic regression equation. Scientific calculators EL-546L/EL-556L

Equation formula

Regression type

Linear bx

Exponential y = a $ e

Logarithmic y = a + b$lnx Powerful

Reverse

Square

ERRORS AND CALCULATION RANGE

1. Mistakes

A calculation error will occur if the calculation range (given at the end

y = a + bx

y = a$x

y = a + b $ y = a + bx + cx2

, n, ÿx, ÿx

element

p. 23

, a,

of the manual) is exceeded, or if an incorrect mathematical calculation is attempted. If a calculation error occurs, pressing the [ ] or [ ] button automatically moves the cursor back to the place in the equation where the error occurred. error. To correct the calculation error, edit the equation (described in “Editing an Equation”) or press the [ON/C] key. • The number following the “Error” message is the error code. Since this code indicates the type of error, check its

meaning.

2. Error codes and types

1 Syntax error •

An attempt was made to perform an invalid calculation, for

example, an attempt to perform a statistical calculation with two variables or to transform coordinates after only one data item or one coordinate was entered.

Machine Translated by Google

2 [2ndF][ÿrÿ].

2. Calculation error

• The absolute value of the partial result or the final result is equal to or greater than 1× 10100; • Division by 0; • The

calculation range was exceeded when performing calculations involving functions,

statistics, transformations/computations on binary, octal or hexadecimal numbers.

page

24 3 Depth error • Number

of available buffers exceeded (The calculator has 8 buffers that can be

Scientific calculators EL-546L/EL-556L

entered numerical values and 16 buffers into which operation commands can be entered).

4 The equation is too long

• The number of equation characters exceeded the allowed number

159. The number of equation signs must be less than 159.

3. Calculation range (see table on pages 41, 42, 43 and 44) • Within the range specified below, the calculator's accuracy is ±1 for the

last digit of the mantissa. When performing continuous calculations

(including

chain and regression coefficients), errors accumulate leading to reduced

accuracy. • The calculation range is ± 10-99 - ± 9.999999999 x 1099 and 0.

If the absolute value of the input value or partial/final calculation result is less than 10-99, the value is rounded and displayed as 0 and this value is used in further calculations.

SCIENTIFIC FUNCTIONS AND CALCULATOR FUNCTIONS

Function numbers in parentheses refer to the EL-546L calculator.

Scientific functions

and ,

Number

of functions

(41)

Function

Statistical

n, ÿx, ÿx

x ,ÿx, sx, ÿy, ÿy , ÿxy,

ÿy, sy, xí, yí, x DATA, x, w DATA, x, y DATA, x, y, w DATA, CD, r, a, b r.quadratic (a, b, c), exponential (r, a, b), power (r, a, b), inverse (r, a, b), logarithmic (r, a, b) [EL-546L only] p(t), Q(t), R(t), xÿt CPLX (arithmetic operations, ÿ rÿ, ÿ xy,

Numbers

combined

brackets, mixed calculations xy,

rÿ), ÿ (r or x), ÿ (ÿÿ or yi)

Scientific calculators EL-546L/EL-556L

page 25

Trigonometric, inverse trigonometric

Other

M+, Msin, cos, tan, sin-1, cos-1, tan-1 for all

angle units

sinh, cosh, tanh, sinh-1, cosh-1, tanh-1, , ln,

10x

log, x2

GRAD, n!, nPr, nCr, %, +%, -%, x%, ÷%, BIN,

ÿ, x-1, DEG, RAD,

, ÿ,

OCT, HEX, NEG, NOT, AND,

OR, XOR, XNOR, FIX, SCI, ENG, TAB (0-9),

Arithmetic substitution

and

p. 26

Calculator functions

Function

Memory

Arithmetic operations

Detection error

Other

Scientific Functions Calculator Functions 259 (279)

BATTERY REPLACEMENT

Power supply

MDF, ÿ, EXP, RANDOM. alg., BIN/OCT/HEX mode, display (ÿ, ÿ)

Scientific calculators EL-546L/EL-556L

STO, RCL, M+, M-, A, B, C, D, X, Y, ANS

+, -, x, ÷ Syntax, calculation, depth, equation

too long C, CE ( ), ÿ (DEL), CA, DEL, +/-,

Total

287 (307)

Number of functions

[EL-546L] The calculator has a dual power supply: solar cells and alkaline manganese batteries (LR44 x 2). The battery power supply is an additional power supply.

[EL-556L] Alkaline manganese batteries (LR44 x 2).

Notes on Replacing Batteries

Improper use of batteries can cause electrolyte leakage or explosion of the cells. For this reason, please observe the following rules: • Always replace both batteries at the same time; • Do not mix new and discharged batteries. • Make sure that the new batteries are the

correct type. •

When inserting the batteries, take care

polarity - as marked on the calculator.

When to replace the battery

[EL-546L] The battery should be replaced: if

•

during use in low light conditions displayed numbers and symbols become pale and unclear;

Scientific calculators EL-546L/EL-556L

page 27

Function

ÿ D° Mí S, ÿ DEG, ÿ rÿ, ÿ xy, ÿ (r or x),

Transformations

ÿ (ÿ or y), DEGÿRAD, RADÿGRAD, GRADÿDEG, DECÿBIN, DECÿOCT, DECÿHEX, BINÿOCT, BINÿHEX, OCTÿHEX, 32 metric conversion factors [EL-546L only] 8 additional metric conversion factors

Calculations

time

Solving a system

of equations

Constantly

physical Hanging 16 mathematical formulas

Powers, roots

Fractions

Arithmetic calculations STO, RCL,

M+, M-

3-VLE, determinant

[EL-546] 40 physical constants

[EL-556] 32 physical constants

8 numbers

and

and ,

Arithmetic functions, results, (fraction ÿ decimal value, mixed fraction ÿ improper fraction) decimal number ÿ fraction, STO, RCL,

Number

of functions

(64)

•

if nothing appears on the display during use in low light conditions even after pressing the [ON/C] button. if the contents of the

•

memory have been automatically cleared.

[EL-556L] The batteries should be replaced when the symbols displayed are blurred.

Attention

• Batteries should be kept out of reach of children. • Batteries are inserted into the calculator at the manufacturer before it is

shipped. They may therefore run out of power. earlier than specified in the technical data. •

Leaving discharged batteries in the battery compartment may

cause electrolyte leakage and damage to the device. • Improper

handling may cause them to explode. • Do

batteries can

not throw batteries into a fire. This

may cause an explosion.

•

The batteries must be replaced with others of the same type.

How to replace the battery

1. Turn off the power using the [2ndF][OFF] buttons.

Machine Translated by Google

2. Unscrew the two screws on the back of the device and remove the battery compartment cover.

3. Use a pointed object, such as a pen, to remove the discharged batteries.

4. Install two new batteries so that the positive terminal (marked Ñ+î) is on top.

5. Replace the battery compartment cover and tighten the screws.

6. Press the RESET button on the back of the device. • Make sure that after pressing the

RESET button, the display looks like the one on the next page.

page 28

Scientific calculators EL-546L/EL-556L

Automatic power off

If no button is pressed for approximately 10 minutes, the power will be turned off automatically. This is to extend battery life.

TECHNICAL DATA

[EL-546L] Calculations:

Scientific calculations, calculations with complex numbers, solving systems of equations linear with three unknowns, statistical calculations, standard probabilistic values, etc.

Internal calculations:

Power supply:

Number of mantissa digits no more than 12 Built-in 3V DC solar cell Additional power source - two alkaline manganese batteries (LR44 or equivalent)

Operating temperature:

Dimensions:

Libra: Accessories:

0°C - 40°C 84 mm × 145 mm × 16.5 mm approx. 106 g (with batteries)

Two LR44 batteries (pre-installed in the unit), instruction card, operating instructions.

[EL-556L] Calculations:

Scientific calculations, calculations with complex numbers, solving systems of equations linear with three unknowns, statistical calculations, etc.

Internal calculations:

Power supply:

Number of mantissa digits no more than 12 3V DC - two alkaline manganese batteries (LR44 or equivalent)

Power consumption: 0.0006W

Scientific calculators EL-546L/EL-556L

page 29

45+285+3 =

(1)

(2)

45 [+] 285 [÷] 3

(3)

140.

[=]

18 6

15 8

42×(-5) + 120=

(5×10 ) + (4×10-3 ) =

It is possible to omit the brackets [ ) ] if they appear immediately before

[ON/C] [ ( ] 18 [+] 6

[ )] [÷] [ ( ]

15 [ -] 8[=] * 3.428571429

42 [×] [+/-] 5

(42 [×] 5 [+/-]) [+]

120 [=]

5 [Exp] 3 [÷]

4 [Exp] [+/-] 3

(4 [Exp] 3 [+/-])

[=]

-90.

1250000.

the [ =] or [M+] sign.

p. 30

Scientific calculators EL-546L/EL-556L

Features

(1)

sin 60 =o

cos [ ] rad =

tan-11=[9 ] 25+5=30

about

sin 30 =

(2)

[ON/C] [sin] 60 [=]

[ON/C] [cos] [( ]

[2ndF] [ÿ] [÷] 4[ ) ] [=]

[ON/C] [2ndF] [tan ] 1 [=]

-1

[ON/C] 25 [+] 5 [=]

[sin] [2ndF] [ANS] [=]

(3)

DEG

0.866025403 DEG

RAD

0.707106781 RAD

HAIL

50.

30.

DEG

0.5

HAIL

DEG

• The results of calculating the values of inverse trigonometric functions are displayed in the following range:

ÿ = sin-1 x

ÿ = tan-1 x

DEG

RAD HAIL

(1)

(cosh 1.5 + sin 1.5)2 =

tanh-1 7

In20 = log50 =

3e =

1.7

10 =

161

4 2

8-2-3 ×5 =

4 =

(123 )

49 ÿ

4! (4×3×2×1 =)

4 81

-90 ÿ ÿ ÿ 90

- ÿ ÿ ÿ ÿ

-100 ÿ ÿ ÿ 100

(2)

[ON/C] [( ] [hyp] [cos] 1.5

[+] [hyp] [sin] 1.5 [ )][x2 ] [=]

[ON/C] [2ndF] [archyp]

[tan] [( ] 5 [÷] 7 [ )][=]

[ON/C] [In] 20 [=]

[ON/C] [log] 50 [=]

[ON/C] [2ndF] [e ] 3 [=]

[ON/C] [2ndF] [10 ]1.7 [=]

[ON/C] 6 [2ndF] [x ] [+] 7[2ndF] [x -1] [=]

[ON/C] 8 [y ] [+/-] 2 [-] ] 4

[×] 5 [x 2][=]

3 [y

[ON/C] 12 [y ] 3 [y ] 4

[2ndF] [x -1] [=]

[ON/C] [ÿ] 49 [-] 4

[2ndF] [ÿ] 81 [=]

[ON/C] 4 [2ndF] [n!] [=] n!

= n .(n-1). n-2)...2 . 1

Scientific calculators EL-546L/EL-556L

-1

ÿ = cos x

0 ÿ ÿ ÿ 180

0 ÿ ÿ ÿ ÿ

0 ÿ ÿ ÿ 200

(3)

20.08553692

0.895879734

2.995732274

1.698970004

20.08553692

50.11872736

0.309523809

-2024.984375

6.447419591

-1

24.

page 31

(4)

[h]

(4)

Working time

battery:

Approx. 1,700 hours (when continuously displaying 55555. at 20°C. Varies with different usage and battery manufacturer).

Operating temperature:

Dimensions:

Libra: Accessories:

0°C - 40°C 84 mm × 145 mm × 16.5 mm approx. 104 g (with batteries)

Two LR44 batteries (pre-installed in the unit), instruction card, operating instructions.

CALCULATION EXAMPLES

•

The calculator displays the equation and the result simultaneously,

although in the examples below only the result is shown.

Arithmetic calculations

Example

Buttons

Display Notes

pressed

(1)

P =

10 3

nCr =

No.

) - !(

C = 5

nCr = n

rnr

!( ÿ )!

500×25 % = 120÷400 =? %

500+ (500× 25%) = 400(400× 30%) =

Changing the unit of measurement of angles

(1)

(2)

[ON/C] 10 [2ndF] [n Pr] 3

[ON/C] 5 [n Cr]

500 [×] 25 [%]

120 [÷] 400 [%]

500 [+] 25 [%]

400 [-] 30 [%]

(2)

about

90 ÿ?[rad]

[2ndF] [DRG ]

[=]

2 [=]

(3)

DEG

RAD

1.570796327

HAIL

(3)

(4)

720.

10.

125.

30.

625.

280.

(4)

DEG

90.

[ ] good

Machine Translated by Google

ÿ?g

sin-10.8 = ?o ÿ ?[rad]

ÿ ?g

180° = ÿ [rad] = 200 (ÿ = 3.141592654)

[2ndF] [DRG ]

[2ndF] [sin ] -1

0.8 [=]

[2ndF] [DRG ]

100.

DEG

53.13010235 °

RAD

0.927295218

HAIL

g 59.03344706

90.

Memory-based calculations

(1)

24+(8×2) = (8×2) ×5 =

23+45+78 =

+)52-31+43 =

-)64+73-12 =

p. 32

(1)

$1 = ÿ104 ÿ25,090 = $? $2,750 =ÿ?

r = 3cm

= ?

ÿr

(r ÿ A) 24

2 4

. ...(A)

4 6

3×(A)+60+(A)=

8 [×] 2 [HUNDRED] [M]

24 [÷] [RCL] [M] [=]

[RCL] [M] [×] 5 [=]

23 [+] 45 [+] 78 [M+]

52 [-] 31 [+] 43 [M+]

(AND)

64 [+] 73 [-] 12[2ndF] [M-

Scientific calculators EL-546L/EL-556L

25090 [÷] [RCL] [A] [=]

[2ndF] [ÿ] [2ndF] [ALPHA]*

24 [÷] [( ] 4 [+]6 [ )] [=]

[+] 60 [÷] [2ndF] [ANS] [=]

(2)

[ON/C] [STO] [M]

[RCL] [M]

(2)

104 [ONE HUNDRED] [A]

2750 [×]

[RCL] [A] [=]

3 [ONE HUNDRED] [A]

[A] [x 2] [=]

3 [×] [2ndF] [ANS]

(3)

146.

125.M

]

(3)

241.25M

286000.M

28.27433388 2.4

% Independent memory & Last result memory ' Temporary memory

The multiplication sign can be omitted between the "ÿ" value and the variable.

Fraction calculations

= ( )

1 4

+ 5 29

6 6

(1)

3 [ab /c] 1 [ab /c] 2 [+]

[ON/C] [2ndF] [ 3

(2)

4[ab /c] 3 [=]

[2ndF] [d/c]

] 2 [ab /c] 8

[ab /c] 9 [=]

[a/c] b

4ÿ 5ÿ 6

4.833333333 29 6

1.424219561

Calculations on numbers from the following systems: binary, Octal, decimal and hexadecimal

(1)

DEC(25)ÿ

HEX(1AC) ÿ BIN

OCT DEC

BIN (1010-100)

×11 =

BIN

(2)

[ON/C] [2ndF] [#DEC]

25 [2ndF] [#BIN]

[ON/C] [2ndF] [#HEX] 1 AC

[2ndF] [#BIN] [2ndF] [#OCT] [2ndF] [#DEC]

[ON/C] [2ndF] [#BIN] [( ]

1010 [-] 100 [ )]

[×] 11[=]

(3)

11001.b

1101011100.b BIN

10010.b

Scientific calculators EL-546L/EL-556L

100g 90°

(DEG)

[rad]

16.M

1.5M

80.M

64.M

85.M (A)

104.M

32.2

(3)

1AC.H

654.0 OCT

428.

' (A)

DEC BIN

HEX

DEC BIN

p. 33

= NOT

10110 = 24 XOR 4 =

B3 XNOR 2D =

[OR] C3 [=]

[ON/C] [2ndF] [#BIN]

[NOT] 10110[=] 1111101001.b

[ON/C] [2ndF]

[#OCT] 24 [XOR] 4 [=]

[#HEX] B3 [XNOR] 2D[=] FFFFFFFF61.H

[ON/C] [2ndF]

db.H

BIN

OCT

20.o

HEX

Calculations with decimal and sexagesimal values

(1)

12o 39'18"05

(4)

ÿ ? (10) %

123,678 ÿ ? (60)&

3h30m45s +

6h45m36s =

? (60) & 3h45m -

1.69h = ? (60) &

about

sin62 12' 24"

= ? (10) %

(4)

% Decimal number & Sexagesimal number

p. 34

(2)

12 [D°M'S] 39 [D°M'S]

18 [D°M'S] 5[2ndF] [ÿDEG] 12.65501389 12.6550138o

123.678 [2ndF] [ÿDEG] 123o 40'40.80 123o 40'40"80

3 [D°M'S] 30 [D°M'S] 45 [+]

6 [D°M'S] 45 [D°M'S]

36 [=] 10 16'21.00 3

[D°M'S] 45 [-]

1.69 [=] [2ndF] [ÿDEG]

[ON/C] [sin] 62

[D°M'S]

12 [D°M'S] 24 [=] 0.884635235

Scientific calculators EL-546L/EL-556L

(3)

about

2o 03'36.00 2h3m36s

(4)

10h16m21s

DEG

Coordinate conversion

(1)

x = 6

{

y = 4

r = ?

{

ÿ = ?

= 14

r {ÿ

x = ?

{

y = ?

(2)

6 [2ndF] [ , ] 4

[2ndF] [#rÿ]

[ÿ] [ÿ]

14 [2ndF] [ , ]

[2ndF] [ÿ] [÷] 5

[2ndF] [# y] 11.32623792 ÿ

(3)

7.211102551 ÿ

ÿ33.69006753

7.211102551 ÿ

ÿ8.228993532 [ÿ]

(4)

DEG

RAD

and

Calculations using physical constants

(1)

Vo=15.3 m/ st=10s

Vot+0.5gt2

(2)

15.3 [×] 10 [+] 2 [2ndF]

-1

[x ][×][CNST]03

[×] 10 [x2 ][=]

(3)

9.80665

643.3325 643.3325

(4)

Converting values from metric

(1)

125 yd = ?m

(2)

125

[2ndF][CONV] 5 [=]

(3)

114.3 114.3m

125.

(4)

Modification function

(1)

(4)

5 ÷ 9 = (A) (A) × 9 =

(2)

5 [÷] 9 [=]

[×] 9 [=]

5 [÷] 9 [=] [2ndF]

[MDF] [×] 9 [=]

(3) (4)

0.6

FIX, TAB = 1

5.0

5.55555555555×10 ×9

0.6

FIX, TAB = 1

5.4

0.6×9

-1

Complex number calculations

(1)

(12-6i) + (7+15i) - (11+4i) =

(2)

12 [-] 6 [ i ][+] 7 [+] 15 [ i ][-] [ ( ]

11 [+] 4 [ i ][ ) ][=] [ÿ] [ÿ]

(3)

8.5. 8.

(4)

and

(1)

BIN(111)ÿ

NGD

HEX(1FF)

+OCT(512)=HEX(?)

2FEC2C9E=(A)

+) 2000-

1901=(B)

5A OR C3

(2) (4)

[ON/C] [2ndF] [#BIN] [NEG]

[ON/C] [2ndF] [#HEX] 1FF

111 [=] 1111111001.b

[#OCT] [+] 512 [=]

[2ndF] [#HEX]

[ON/C] [STO] [M] [2ndF]

[#HEX] 2FEC [-]

2C9E [M+]

2000 [-] 1901[M+]

[RCL] [M]

[ON/C] [2ndF] [#BIN]

1011 [AND]101 [=]

[ON/C] [2ndF] [#HEX] 5A

[2ndF]

(3)

1511.0

349.H

34E.HM 6FF.HM

A4d.HM

Scientific calculators EL-546L/EL-556L

p. 35

NEG

(-7) HEX

OCT HEX

HEX

(AND)

(B) (C) BIN

HEX

(1)

6 × (7-9i) × (-5+8i) =

16 × (sin30°+icos30°) ÷

(sin60°+icos60°)=

30 [+] [ i ][cos] 30 [ )] [ ( ][sin]

(2)

6 [×]

[ ( ] 7 [-] 9 [ i ][×] [ ( ]

5 [+/-] 8 [ i ][ ) ][=] [ÿ] 16 [×]

[sin]

60 [+][ i ][cos] 60 [ )][=] [ÿ]

[ ( ]

(3)

13.85640646.8.i

222.606.i

(4)

and

DEG

and

Machine Translated by Google

[2ndF][#r ]

r1=8, ÿ1=70° r2=12, ÿ1=25°

8 [ÿ] 70 [+]

12 [ÿ] 25 [=]

18.5408873.42.76427608.i

[ÿ]

r=?, ÿ=?

(1+ i)

r=?, ÿ=?

(2-3i)2 =

1/(1+i)=

[ (] 2 [-] 3 [ and ] [ ) ] [=]

[2ndF][#xy]

1 [+][ and ][=]

[2ndF][#r ]

[ÿ]

[2ndF][#xy]

[ÿ]

[ (] 1 [+] 3 [ i ] [ ) ] [2ndF]

[x-1] [=]

[ÿ]

1.1.414213562.42.

-5.12.

0.50.5i

and

Solving a system of linear equations with three unknowns

Example 1:

x+yz =9 a1=1, b1=1, 6x+6y-z=17 a2=6,

b2=6, 14x-7y+2z=42 a3=14, b3=7,

{

(3)(2)

[ENT] 1

[ENT] 1 [+/-]

[ENT] 9 [ENT] 6

p. 36

(2)

. . .

[ENT] 42

[ENT] [ENT] [ENT] [ENT]

Scientific calculators EL-546L/EL-556L

(3)

Example 2: if the coefficients c1, c , as well as a - d are

equal to zero, then the system takes the form of a system of two equations with

c =-1, d =9 c2=-1,

d2=27 c3=2, d3=42

d3?

42. 3.238095238

-1.638095238

-7.4

105.

2 3 3

a1?

b1?

-1.

c1? d1?

a2?

and

With

determinant of D

(4)

two unknowns. We can then determine the values x, y and the determinant.

DEG

and

As an example, determine the results based on the following data: [EL-546L]: In addition, the overall shape of the distribution of the results must be determined.

E.g. A. Determine the number of people who have 45 points or less.

B. Determine the number of people who have more points

than the average and less than 75.

C. Determine the number of people who have 80 or points

more.

D. Determine P(t) for t = -0.5.

Results

Number of people

100 [ , ] 2 [DATE]

(2)

30 [ , ] 2 [DATE] 40 [ , ] 5 [DATE] 50 [ , ] 4 [DATE] 60 [ , ] 6 [DATE] 70 [ , ] 11 [DATE] 80 [ , ] 13 [DATE] 90 [ , ] 7 [DATE]

30 40 50 60 70 80 90 100 2 5 4 6 11

13 7 2

[MODE] 30

[RCL] [ ]

[RCL] [ÿx]

[RCL] [ x]

[RCL] [sx]

[x] [=]

(3)

17.7583783

17.93867103

321.7959184

69.2

3460.

(4)

0.STAT 0. n

11.

17.

28.

41.

48.

50.

ÿx

[EL-546L]

[2ndF][P(t)] 45 [2ndF][x ÿt][ ) ][=]

(2)

[ 2ndF][Q(t)] 75 [2ndF][x ÿt][ ) ][= ] [2ndF][R(t)] 85 [2ndF][x ÿt][ ) ][=] [2ndF][P(t)] 0.5 [+/-][x ÿt][ ) ][=]

p. 38

Scientific calculators EL-546L/EL-556L

(3) (4)

0.086483 A (8.6%)

0.128017 B (12.8%)

0.186808 C (18.7%)

0.308537 D (30.9%)

Probability value calculations

[EL-546L]

P t

( ) =

e dx

ÿÿ

a2 x+b2y = d2

{ a1 x+by = d

5x+6y=7

{ 2x+3y = 4

(2)

[2ndF][CA] 2

[ENT] 3

[ENT]

[ENT] 4 [ENT] 5 [ENT] 6

[ENT]

[ENT] 7

[ENT][ENT][ENT][ENT]

[ENT]

[ENT] [ENT]

Statistical calculations

Patterns:

ÿx

x nxÿ

2 2 ÿ ÿ x nx

2222

and

ÿy =

and

Scientific calculators EL-546L/EL-556L

ÿy ny

and ny

Q t

(3)

a1?

3. b1?

0.c1 ?

d1?

a2?

6. b2?

0.c2 ?

7. d2?

0. a3?

-1.

2. y

determinant of D

-3.

(4)

t = (x -

•

Regression calculations

( ) =

P t

( ) =

)/ÿx ... P(t), Q(t) and R(t) always take positive values, even for t < 0. This is because their values are determined using surface calculation algorithms.

The values of P(t), Q(t) and R(t) can have up to six decimal places

e dx

ÿ0

ÿ ÿ

ÿ e dx

Normalization pattern

For the given pairs of values (x,y), determine the standard deviation, the linear regression coefficient, and the correlation coefficient between x and y.

p. 37

(The calculations for exponential, logarithmic, power, and inverse regression are performed the same way as for linear regression.)

Scientific calculators EL-546L/EL-556L

p. 39

+ x

ÿx = x1 + x2 + ÿx = x1 + x + ÿxy =

x1y + xy + ÿy = y + y + + y

ÿy = y + y +

...

222 22

+ x n

...

221

...

+ xy

+ y

Statistical calculations for one variable

n: number of data

(1)

and

(2) (3)

[MODE] 3 1

12 [(x,y)] 24 [DATE] 18 [(x,y)] 36 [DATE]

STAT 1

(4)

n 2.

Machine Translated by Google

12 24 18 36 10 20

46 19 35

15 25

8 [(x,y)] 10 [DATE] 20 [(x,y)] 46 [DATE] 19 [(x,y)] 35 [DATE] 15 [(x,y)] 25 [DATE]

[RCL] [a] [RCL] [b]

[RCL] [r] [RCL] [Sx] [RCL] [Sy]

- 9.44964535 a

2.50212766 b

0.974056545 r

4.847679857 sx

12.45257671

The following values are estimated

(1)

x = 3ÿy ' = ? y =46ÿ x

= ?

(2)

3 [2ndF] [y ']

46 [2ndF] [x']

(3)

-1.943262411 y

22.16099773 x

(4)

Quadratic regression

For given pairs of values (x,y), the coefficients a, b, and c form the quadratic regression equations and determine the estimates for the given values x and y:

(A) x=10 ÿ y'=? (B) y=22 ÿ x'=?

(4)

and b

(A)

x1 (B) x2 (B)*

x1 (B)

12 41 8 13

5 2 23

200 15 71

p. 40

(1)

and

For two roots

(2) (3)

[MODE] 3 2

STAT 2

12 [(x,y)] 41 [DATE] 8

[(x,y)] 13 [DATE] 5 [(x,y)] 2 [DATE] 23

[(x,y)] 200 [DATE] 15

[(x,y)] 71 [DATE]

[RCL] [a] [RCL] [b] [RCL] [c]

10 [2ndF] [y']

22 [2ndF] [x']

[ÿ]

Scientific calculators EL-546L/EL-556L

5.357506761

-3.120289663

0.503334057

24.4880159

9.63201409

-3.432772026

9.63201409

Calculation scope

Function

Field (2)

(1)

[EL-546] DEG: |x | < 4.5 × 1010

son x

something x

tan x

(tan x : |x | ÿ 90 (2n-1)) *

RAD: |x | < / × 10

(tan x : |x | ÿ / (2n-1)) * GRAD:

|x | < 5 × 1010

(tan x : |x | ÿ 100 (2n-1)) * [EL-556] DEG: |x | < 4.5 × 1010

-1

son

cos-1x

-1

tan x, ln x, log x

y×

(tan x : |x | ÿ 90 (2n-1)) * RAD: |x | < / × 10

x | ÿ 100 (2n-1)) * |x | ÿ 1 |

x | < 10100

10-99 ÿ x < 10100

[EL-546L] y

•

> 0: -10 < x ln y ÿ 230.2585092 y = 0: 0 < x <

•

10100

•

y < 0: x = n (0 < |× | < 1: / = 2n-1, x = 0)* -10 < × ln |

[EL-556L] • y > 0: -10 < x ln y ÿ 100 y = 0: 0 < x <

•

10100

•

y < 0: x = n (0 < |× | < 1: / = 2n-1, x = 0)*

180

100

y| ÿ 230.2585092

100

-10100 < × ln |y| ÿ 100

(1)

[EL-546L] y

•

and

> 0: -10 <- ln y ÿ 230.2585092 (xÿ

•

y = 0: 0 < x < 10

•

y < 0: x= 2n-1, (0 < |

x | < 1:1 / = n, x ÿ 0)* -10100 < / x ln |y| ÿ 230.2585092

[EL-556L] y

•

> 0: -10 < / ln y ÿ 230.2585092 (xÿ

•

y = 0: 0 < x < 10100

•

y < 0: x= 2n-1, ( 0 <

|x | < 1: / = n, x ÿ 0)* -10100 <

and

10× sinh x, cosh x |x | ÿ 230.2585092 |x | < 10100

tanh x

sinh-1 x

-1

cosh x

-1

tanh x 2 x

-1x

n! nPr

< x ÿ 230.2585092

-10 < x < 100

[EL-546L]: [EL-556L]: [EL-546L]: [EL-556L]: [EL-546L]: [EL-556L]: |x | < 1 |x | < 1050 0 ÿ x < 10100

|x | < 10100 (x ÿ 0) 0 ÿ n ÿ 69*

[EL-546L]: [EL-556L]:

-10100

100

|x | < 230.2585092 |x | < 5 × 1099 |x | < 1050

1 ÿ x < 5 × 1099 1 ÿ x < 1050

0 ÿ r ÿ n ÿ 999999999* 0 ÿ r ÿ n ÿ 999999999* n!/(nr)! < 10100

nCr

[EL-546L]:

[EL-556L]:

ÿ DEG, Do M'S 0 00'00.01 ÿ |x | < 10000o

about

p. 42

0 ÿ r ÿ n ÿ 999999999* n - r < r: n - r ÿ 69 r ÿ 69 0 ÿ r

n - r ÿ r:

999999999* 0 ÿ r ÿ 69

n!/(nr)! < 10100

Scientific calculators EL-546L/EL-556L

(1)

x, y ÿ r, ÿ

[EL-546L]:

|x|, |y| < 1050

| / |, × + y < 10 [EL-556L]: [EL-546L]:

r, ÿ ÿ x, y

[EL-556L]:

0 ÿ r < 10100

DEG: |ÿ| < 4.5 × 1010

RAD: |ÿ| < / ×10 ÿ

HAIL: |ÿ| < 5 × 10 0 ÿ r < 10100

DEG: |ÿ| < 1010

RAD: |ÿ| < / ×10 ÿ

HAIL: |ÿ| < 10/9 × 1010

DEGÿRAD, GRADÿDEG: |× | < 10100

DRG

+, -

ÿDEC ÿBIN ÿOCT ÿHEX

AND OR XOR, XNOR

NOT

RADÿGRAD: |x| < A + Bi, C + Di

|A ± C | < 10 100

(AC-BD) < 10 (AC+BD)/(C+D) < 10 (BC - AD)/(C + D) < 10

100

2 2

(C2 + D2 ) ÿ 0 DEC : |x| ÿ 9999999999

BIN : 100000000 ÿ x ÿ 1111111111 0 ÿ x ÿ

1111111111

OCT : 400000000 ÿ x ÿ 7777777777 0 ÿ x ÿ

3777777777

HEX : FDABF41C01 ÿ x ÿ FFFFFFFFFF

0 ÿ x ÿ 2540BE3FF

BIN : 1000000000 ÿ x ÿ 1111111111

0 ÿ x ÿ 1111111111

OCT : 4000000000 ÿ x ÿ 7777777777 0 ÿ x ÿ

3777777777

HEX : FDABF41C01 ÿ x ÿ FFFFFFFFFF 0 ÿ x ÿ

2540BE3FE

100

100 1

and

2 2 100

ÿ / × 1096

|B± D| < 10 100

(AD-BC) < 10

(2)

100

/x ln |y| ÿ 100

ÿ n ÿ

(2)

+ < 10

100

180

100

Scientific calculators EL-546L/EL-556L

p. 41

Scientific calculators EL-546L/EL-556L

p. 43

Machine Translated by Google

NEG

* (n, r: integers)

BIN

: 1000000000 ÿ x ÿ 1111111111 0 ÿ x ÿ

OCT : 4000000000 ÿ x ÿ 7777777777 0 ÿ x ÿ

HEX : FDABF41C01 ÿ x ÿ FFFFFFFFFF

1111111111

3777777777

0 ÿ x ÿ 2540BE3FF

(2)(1)

p. 44

Scientific calculators EL-546L/EL-556L

Sharp EL-546L, EL-556L User Manual

Specifications and Main Features

Frequently Asked Questions

User Manual