SRP-280N - Thermal printer CITIZEN - Free user manual and instructions

USER MANUAL SRP-280N CITIZEN

SCIENTIFIC CALCULATOR

SRP-280N/SRP-285N

Instruction Manual

Turning On And Off. 3
Battery Replacement 3
Auto Power-Off Function. 3
Reset Operation. 3
Contrast Adjustment. 4
Display Readout 4

Before starting calculation. 5

Changing a mode 5
Selecting an item from display menus. 5
Using " 2nd " Keys . 5
Cursor 5
Making corrections during input. 6
Replay function 6
Error Position Display Function. 6
Memory Calculation. 6
Order Of Operations 7
Accuracy And Capacity 8
Error Conditions 10

Mode 0 - MAIN 11

Arithmetic Calculations 11
Display formats. 11
Parentheses Calculation 11
Percentage Calculation 12
Continuous calculation function. 12
Answer Function 12
Logarithm And Antilogarithm 12
Fraction Calculation 12
Angle Unit Conversion 13
Trigonometric / Inverse-Tri. Functions 14
Hyperbolic / Inverse-Hyp. Functions 14
Coordinates Transformation 14
Probability 14
Other Functions (x^-1,,^2,x^2,) 15

Unit Conversions. 15

Physical Constants. 15

Mode 1 - STAT. 16

Single-Variable / Two-Variable Statistics ....16

Process capability. 17

Probability distribution 17

Linear regression 18

Correcting data. 18

Mode 2 - Base-n. 19

Bases conversions 19

Negative expression. 19

Basic arithmetic operations for bases. 20

Logical operation 20

Mode 3 - CPLX. 20

Mode 4-VLE 20

Mode 5 - QE 20

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General Guide

Turning On And Off

To turn the calculator on, press [ON]; To turn the calculator off, press [2nd][OFF].

Battery Replacement

SRP-280N is powered by one alkaline battery (G13/LR44). SRP-285N is dual power system which is powered by one alkaline battery (G13/LR44) and a solar cell. If the display becomes dim and difficult to read (especially when lighting is dim for SRP-285N), the battery should be replaced as soon as possible.

To replace battery :

1) Remove the screw and the battery compartment cover.
2) Remove the old battery and insert a new one with polarity in correct directions, then replace the cover.
3) After changing battery, please use a pointed object to press the reset hole in the rating label area located at the rear of this unit.

Auto Power-Off Function

This calculator automatically turns it off when not operated for approximately 6-12 minutes. It can be reactivated by pressing [ON] key and the display, memory, settings are retained.

Reset Operation

If the calculator is on but you get unexpected results, press [2nd] [RESET] in sequence. A message appears on the display to confirm whether you want to reset the calculator and clear memory contents.

RESET: N Y

Move the cursor to "Y" by [▶], then press [ENTER] to clear all variables, programs, pending operations, statistical data, answers, all previous entries, and memory. To abort the reset operation without clearing the calculator, please choose "N".

If the calculator is lock and further key operations becomes impossible, please use a pointed object to press the reset hole to release the condition. It will return all settings to default settings.

Contrast Adjustment

Pressing the [▼] or [▲] following [MODE] key can make the contrast of the screen lighter or darker. Holding either key down will make the display become respectively lighter or darker.

Display Readout

The display comprises the entry line, the result line, and indicators.

Entry line The calculator displays an entry of up to 76 digits. Entries begin on the left; those with more than 11 digits scroll to the left. Press [▶] and [▲] to move the cursor through an entry. Press [2nd] [▲] or [2nd] [▲] to move the cursor immediately to the beginning or end of the entry.

Result line It displays a result of up to 10 digits, as well as a decimal, a negative sign, a " x10 " indicator, and a 2-digits positive or negative exponent. Results that exceed the digit limit are displayed in scientific notation.

Indicators The following indicators appear on the display to indicate you the current status of the calculator.

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Indicator	Meaning
M	Independent memory
-	Result is negative
2nd	2nd set of function keys is active.
MODE	Mode selection is active
MAIN	Main mode is active
STAT	Statistics mode is active
Base-n	Base-n mode is active
VLE	Variable linear equation mode is active
QE	Quadratic equation mode is active
CPLX	Complex number mode is active
DEGRAD	Angle mode : DEGrees, GRADs, or RADs
ENGSCI	ENGINEERING or SCIencific notation
TAB	Number of decimal places displayed is fixed
HYP	Hyperbolic-trig function will be calculated
BUSY	While an operation is executing

There are digits to the left or right of the display
There are earlier or later results that can be displayed

Before starting calculation

Changing a mode

Pressing [MODE] can enter mode menus. You can choose one of six operating modes, including "0" MAIN ", "1" STAT ", "2" Base-n ", "3"CPLX ", "4)VLE ", "5" QE".

Give " 2)Base-n " as an example :

Method 1: Scroll through the menus using [] or [] until "2)Base-n" is shown, then enter the desired mode by pressing [ENTER].

Method 2: Key in directly the number of the mode, [2], to enter the desired mode immediately.

Selecting an item from display menus

Many functions and settings are available on menus. A menu is a list of options displayed across the entry line.

Give " Pressing [ DRG ] key displays the menu for choosing the angle setting under MAIN mode " as an example :

Method: Press [DRG] to display the menu, and then move the cursor [< ] or [>] to an item you want. Press [ENTER] while the item is underlined.

For menu items followed by an argument value, you can press [ENTER] while the item is underlined or enter directly the corresponding argument value.

Using "2nd" Keys

When you press [2nd], the "2nd" indicator shown in the display is to tell you that you will be selecting the second function of the next key you press. If you press [2nd] by mistake, simply press [2nd] again to remove the "2nd" indicator.

Cursor

Pressing [ ] or [ ] key can move the cursor to the left or the right. Hold down any of those keys to move the cursor at high speed.

Pressing [▼] or [▲] can scroll the display up or down while there are previous entries hidden the display. You can reuse or edit a previous entry when it is on the entry line.

Making corrections during input

To delete a character at the cursor, make the character underlined by using [] or [] to move the cursor, and then press [DEL] to delete the character.

To replace a character, make the character underlined by using [] or [] to move the cursor, and then enter a new entry to replace the character.

To insert a character, move the cursor to the position of the character where you want to insert, it will be inserted in the front of the character after pressing [2nd] [INS] and entering a new character.

(Note): The blinking cursor "▲" means the calculator is in insert mode. On the contrary, the blinking cursor is displayed as " " and it means the calculator is in overwrite mode.

To clear all characters, clear all input character by [CL] key.

Replay function

• This function stores the latest operation executed. After execution is complete, pressing [▼] or [▲] key will display the operation from the beginning or the end. You can continue moving the cursor by [▶] or [▲] to edit it. To delete a digit, press [DEL]. (or, in overwrite mode, just type over the digit). See Example 1.
• The replay function can keep input digits up to 254 characters. After execution is complete or during entering, you can press either [▲] or [▶] to display previous input steps and edit values or commands for subsequent execution. See Example 2.

(Note): The replay function isn't cleared even when [CL] is pressed or power is turned off, so contents can be recalled even after [CL] is pressed. However, replay function is cleared when mode or operation is switched.

Error Position Display Function

• When a mathematically illegal calculation is performed, error position display function will tell you with the cursor where the error is. Press [▶] or [▲] to move the cursor and then give it a correct entry. You can also clear an error by pressing [CL] and then re-entered the values and expression from the beginning. See Example 3.

Memory Calculation

• Press [M+] to add a result to running memory. Press [2nd] [M-] to subtract the value from running memory. To recall the value in running memory, press [MRC]. To clear running memory, press [MRC] twice. See Example 4.

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• The calculator has ten memory variables for repeated use: A, B, C, X, Y, M, X1, X2, PROG1 and PROG2. You can store a real number in variables A, B, C, X, Y, M, X1, X2 and an expression in PROG1 and PROG2. See Example 5.
• [P/V RCL] recalls all variables.
• [SAVE] lets you store values to variables.
• [2nd] [RECALL] recalls the value of variable.
• [2nd] [CL-VAR] clears all variables except PROG1, PROG2.
• [2nd] [CL-PROG] clears the contents of PROG1, PROG2.

(Note): Besides pressing [SAVE] key to store a value, you can also assign values to memory variable M by [M+] or [2nd] [M-] . However, anything currently stored in variable M will be deleted and replaced by the newly assigned value.

Order Of Operations

Each calculation is performed in the following order of precedence :

1) Expression inside parentheses.
2) Coordinates transformation, and Type B functions which are required pressing the function key before entering, for example, sin, cos, tan, sin -1 , cos -1 , tan -1 , sinh, cosh, tanh, sinh -1 , cosh -1 , tanh -1 , log, In, 10 x , e , NEG, NOT, X('), Y(')
3) Type A functions which are required entering values before pressing the function key, for example, x^2 , 0 , 1 , x^-1 , % , r, g.
4) Exponentiation () , [x]x
5) Fractions
6) Abbreviated multiplication format in front of variables, , RANDM, RANDMI.
7) (-)
8) Abbreviated multiplication format in the front of Type B functions, 23 , Alog2, etc.
9) nPr, nCr
10) x, ÷
11) +, -
12) AND, NAND
13) OR, XOR, XNOR
14) Conversion (a^ / c^d / e,F D, DMS) When functions with the same priority are used in series, execution is performed from right to left. e^× 120 e^× (120) otherwise, execution is from left to right.

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• Compound functions are executed from right to left.
• Anything contained within parentheses receives the highest priority.

Accuracy And Capacity

Output digits : Up to 10 digits

Calculating digits : Up to 24 digits

In general, every reasonable calculation is displayed up to 10 digits mantissa, or 10-digits mantissa plus 2-digits exponent up to 10^± 99 .

Numbers used as input must be within the range of the given function as follow:

Functions	Input range
sin x \( \cos x \) tan x	Deg : \( \left| x\right| < {4.5} \times {10}^{10}\mathrm{{deg}} \) Rad : \( \left| x\right| < {2.5} \times {10}^{8}\pi \) rad Grad : \( \left| x\right| < 5 \times {10}^{10} \) grad however, for tan x Deg : \( \left| x\right| \neq {90}\left( {{2n} + 1}\right) \) Rad : \( \left| x\right| \neq \frac{\pi }{2}\left( {{2n} + 1}\right) \) Grad : \( \left| x\right| \neq {100}\left( {{2n} + 1}\right) \) ,(n is an integer)
\( {\sin }^{-1}\mathrm{x},{\cos }^{-1}\mathrm{x} \)	\( \left| x\right| \leq 1 \)
\( {\tan }^{-1}x \)	\( \left| x\right| < 1 \times {10}^{100} \)
\( \sinh x,\cosh x \)	\( \left| x\right| \leq {230.2585092} \)
\( \operatorname{tanh}x \)	\( \left| x\right| < 1 \times {10}^{100} \)
\( \sinh - 1\mathrm{x} \)	\( \left| x\right| < 5 \times {10}^{99} \)
\( {\cosh }^{-1}x \)	\( 1 \leq x < 5 \times {10}^{99} \)
\( {\tanh }^{-1}x \)	\( \left| x\right| < 1 \)
\( \log x,\ln x \)	\( 1 \times {10}^{-{99}} \leq x < 1 \times {10}^{100} \)
\( {10}^{x} \)	\( - 1 \times {10}^{100} < x < {100} \)
\( {\mathrm{e}}^{\mathrm{x}} \)	\( - 1 \times {10}^{100} < x \leq {230.2585092} \)
\( \sqrt{x} \)	\( 0 \leq x < 1 \times {10}^{100} \)
\( {\mathrm{x}}^{2} \)	\( \left| x\right| < 1 \times {10}^{50} \)
\( {\mathrm{x}}^{-1} \)	\( \left| x\right| < 1 \times {10}^{100},x \neq 0 \)
\( x! \)	\( 0 \leq x \leq {69},x \) is an integer.
P(x,y)	√x2+y2<1 x 10100
R(r,θ)	0≤r<1 x 10100Deg: |θ|<4.5 x 1010degRad: |θ|<2.5 x 108π radGrad: |θ|<5 x 1010gradhowever, for tan θDeg: |θ|≠90 (2n+1)Rad: |θ|≠π/2 (2n+1)Grad: |θ|≠100 (2n+1), (n is an integer)
▷DMS	|DD|, MM, SS.SS < 1 x 10100,0≤MM, SS.SS|x|<10100
xy	x>0: -1 x 10100<y log x<100x=0:y>0x<0:y=n, 1/(2n+1), n is an integer.but -1 x 10100<y log |x|<100
x√y	y>0: x≠0, -1 x 10100<1/x log y<100y=0:x>0y<0:x=2n+1, 1/n, n is an integer. (n≠0)but -1 x 10100<1/x log |y|<100
nPr, nCr	0≤r≤n, n≤10100, n,r are integers.
STAT	|x|<1 x 10100, |y|<1 x 101001-VAR: n≤40, 2-VAR: n≤40FREQ. = n, 0≤n<10100:n is an integer in1-VAR mode.σx, σy, x, y, a, b, r: n≠0;Sx, Sy: n, n≠0, 1
Base-n	DEC : - 2147483648 ≤ x ≤ 2147483647
	BIN : 100000000000000000000000000000000 ≤ x ≤ 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
	OCT : 20000000000 ≤ x ≤ 37777777777 (for negative) 0 ≤ x ≤ 17777777777 (for zero or positive)
	HEX : 80000000 ≤ x ≤ FFFFFFFF (for negative) 0 ≤ x ≤ 7FFFFFFF (for zero or positive)

Error Conditions

Error message will appear on the display and further calculation becomes impossible when any of the following conditions occur.

DOMAIN Er (1) When specifying an argument to a function outside the valid range.
(2) FREQ value (in 1-VAR stats) < 0 or non-integer.
(3) When USL value < LSL value

DIVIDE BY 0 You attempted to divide by 0.

OVERFLOW Er When result of function calculations exceeds the range specified.

STAT Er When in MAIN, CPLX, VLE, or QE mode, press [DATA] or [STATVAR].

SYNTAX Er (1) Input errors are made.
(2) When improper arguments are used in commands or functions that require arguments.

NO SOL There is no solution or infinite to the MULTI SOLS simultaneous equation under VLE mode.

NO REAL SOL There is no real solution to quadratic equation under QE mode.

LENGTH Er An entry exceeds 84 digits after implied multiplication with auto-correction.

OUT OF SPEC You input a negative C_PU or C_PL value, where

$$ C _ {P U} = \frac {U S L - \bar {X}}{3 \sigma}, \quad C _ {P L} = \frac {\bar {X} - L S L}{3 \sigma} $$

To release the above errors, please press [CL] key.

Mode 0 - MAIN

Arithmetic Calculations

• Arithmetic operations are performed by pressing the keys in the same sequence as in the expression. See Example 6.
• For negative values, press [(-)] before entering the value. See Example 7.
• For mixed arithmetic operations, multiplication and division are given priority over addition and subtraction. See Example 8.
• Results greater than 10^10 or less than 10^-9 are displayed in exponential form. See Example 9.

Display formats

• Decimal places formats are selected by pressing [2nd] [TAB] to display the menu. To set decimal places to n (F0123456789), enter a n value directly or press [ENTER] key while the item is underlined. (The default setting is floating point notation F and the n value is •). See Example 10.
• Even if the number of decimal places is specified, internal calculation for a mantissa is performed up to 24 digits, and the display value is stored in 10 digits. To round off those values to the specified number of decimal places, press [2nd] [RND]. See Example 11~12.
• Number display formats are selected by pressing [2nd] [SCI/ENG] to display the menu. The items on the menu are FLO (for floating point), SCI (for scientific), and ENG (for engineering). Press [< ] or [> ] until the desired formats is underlined, and then press [ENTER]. See Example 13.

(Note): The engineering format is similar to the scientific format, except the mantissa can have up to three digits left of the decimal, instead of only one, and the exponent is always a multiple of three. It is useful for engineers to convert units based on multiples of 10^-3 .

• You can enter a number in mantissa and exponent form by [EXP] key. See Example 14.

Parentheses Calculation

• Operations inside parentheses are always executed first. The calculator can use up to 13 levels of consecutive parentheses in a single calculation. See Example 15.

• Closed parentheses occurring immediately before operation of the [ENTER] key may be omitted, no matter how many are required. See Example 16.

• A multiplication sign " x " occurring immediately before an open parenthesis can omitted. See Example 17.

(Note): The calculator can auto-correct abbreviated multiplication in front of all functions, except memory variables, left parenthesis, type B functions.

Henceforth, abbreviated type will not be used in this manual. See Example 18.
- The correct result cannot be derived by entering [(12[+]3[)] [EXP] 2. Be sure to enter [x]1 between the [] and [EXP] in the below example. See Example 19.

Percentage Calculation

• [2nd] [%] divides the number in the display by 100. You can use this key sequence to calculate percentages, add-ons, discounts, and percentages ratios. See Example 20-21.

Continuous calculation function

• The calculator enables you to repeat the last operation executed by pressing [ENTER] key for further calculation. See Example 22.
• Even if calculations are concluded with the [ENTER] key, the result obtained can be used for further calculation. See Example 23.

Answer Function

Answer function stores the most recently calculated result. It is retained even after the power is turned off. Once a numeric value or numeric expression is entered and [ENTER] is pressed, the result is stored by this function. See Example 24.

(Note): Even if execution of a calculation results in an error, however, Answer memory retains its current value.

Logarithm And Antilogarithm

• The calculator can calculate common and natural logarithms and anti-logarithms using [log], [In], [2nd] [10^x] , and [2nd] [e^x] . See Example 25~27.

Fraction Calculation

Fraction value display is as follow :

5 / 12

Display of 512

56 ∪ 5 /12

Display of 56 5/12

• To enter a mixed number, enter the integer part, press [a^b / c] , enter the numerator, press [a^b / c] , and enter the denominator; To enter an improper fraction, enter the numerator, press [a^b / c] , and enter the denominator. See Example 28.
• During a fraction calculation, if the figure is reducible, a figure is reduced to the lowest terms after pressing a function command key ([+], [-], [x] or [÷]) or the [2nd] key. By pressing [2nd] [a^16 · ^d_/e] , the displayed value will be converted to the improper fraction and vice versa. See Example 29.
• To convert between a decimal and fractional result, press [2nd] [F D] and [ENTER]. See Example 30.
• Calculations containing both fractions and decimals are calculated in decimal format. See Example 31.

Angle Unit Conversion

• The angle units (DEG, RAD, GRAD) is set by pressing [DRG] to display the angle menu. The relation among the three angle units is :

$$ 1 8 0 ^ {\circ} = \pi \mathrm {r a d} = 2 0 0 \mathrm {g r a d} $$

Angle conversations ( See Example 32. ) :

1. Change the default angle settings to the units you want to convert to.
2. Enter the value of the unit to convert.
3. Press [DMS] to display the menu. The units you can select are (degrees), (minutes), (seconds), (radians), (gradians) or DMS (Degrees-Minutes-Seconds).
4. Choose the units you are converting from.
5. Press [ENTER] twice.

To convert an angle to DMS notation, select "▶DMS" which converts an entry to DMS notations, i.e., where 1^30'0'' represents 1 degrees, 30 minutes, 0 seconds. See Example 33.

To convert a DMS notation to decimal, select degrees), (minutes), (seconds). See Example 34.

Trigonometric / Inverse-Tri. Functions

The calculator provides standard trigonometric functions and inverse trigonometric functions - sin, cos, tan, ^-1 , ^-1 and ^-1 . See Example 35-37.

(Note): When using those keys, make sure the calculator is set for the angle unit you want.

Hyperbolic / Inverse-Hyp. Functions

The calculator uses [2nd] [HYP] to calculate the hyperbolic functions and inverse-hyperbolic functions - sinh, cosh, tanh, sinh ^-1 , cosh ^-1 and tanh ^-1 . See Example 38-39.

(Note): When using those keys, make sure the calculator is set for the angle unit you want.

Coordinates Transformation

Pressing [2nd] [R▶P] displays a menu to convert rectangular coordinates to polar coordinates or vice versa. See Example 40~41.

Rectangular Coordinates

Polar Coordinates

$$ x + y i = r (\cos \theta + i \sin \theta) $$

(Note): When using those key, make sure the calculator is set for the angle unit you want.

Probability

• Pressing [PRB] displays the probability menu. See Example 42~46. With the following functions:

nPr Calculate the number of possible permutations of n item taken r at a time.

nCr Calculates the number of possible combinations of n items taken r at a time.

1 Calculate the factorial of a specified positive integer n, where n ≤ 69 .

RANDOM Generates a random number between 0 and 1.

RANDMI Generates a random integer value between two specified integers, A and B, where A ≤ random value ≤ B

Other Functions (x^-1,,,x^2,)

• The calculator also provides reciprocal ([x^-1]) , square root ([]) , universal root ([]) , square ([x^2]) and exponentiation ([]) functions. See Example 47-50.

Unit Conversions

• The calculator has a built-in unit conversion feature that enables you to convert numbers from metric to English units and vice versa. See Example 51.

• Enter the number you want to convert.

• Press [2nd] [CONV] to display the menu. There are 7 menus, covering distance, area, temperature, capacity, weight, energy, and pressure.
• Use the [][] to scroll through the list of units until a appropriate units menu is shown, then [ENTER].
• Pressing [▶] or [▲] can convert the number to another unit.

Physical Constants

• You can use a number of physical constants in your calculations. See table below:

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Symbol	Meaning	Value
c	Speed of light in vacuum	299792458 m / s
g	Acceleration of gravity	9.80665 m.s-2
G	Gravitational constant	6.6725985 x 10-11N.m2kg-2
Vm	molar volume of ideal gas	0.0224141 m3mol-1
NA	Avagadro's number	6.022136736 x 10-23mol-1
e	Elementary charge	1.6021773349 x 10-19C
me	Electron mass	9.109389754 x 10-31kg
mP	Proton mass	1.672623110 x 10-27kg
h	Plank's constant	6.626075540 x 10-34J.s
k	Boltzmann's constant	1.38065812 x 10-23J.K-1
R	Gas constant	8.3145107 J/mol·k
F	Faraday constant	96485.30929 C / mol
mn	Neutron constant	1.67492861 x 10-27kg
μ	Atomic mass constant	1.66054021 x 10-27kg
ε0	Dielectric permittivity	8.854187818 x 10-12F/m
μ0	Magnetic permittivity	1.256637061 x 10-6H / m
φ0	Flux quantum	2.0678346161 x 10-15Vs
a0	Bohr radius	5.2917724924 x 10-11m
μB	Bohr magneton	9.274015431 x 10-24Am2
μN	Neutron magnetic moment	5.050786617 x 10-27J / T

To insert a constant at the cursor position ( See Example 52.):

1. Press [CONST] to display the physical constants menu.
2. Press [▶] until the constant you want is underlined.
3. Press [ENTER].

Mode 1 - STAT

There are three menu operations in statistics menu: 1-VAR ( for analyzing data in a single dataset), 2-VAR ( for analyzing paired data from two datasets ) and D-CL ( for clearing all datasets). See Example 38.

Single-Variable / Two-Variable Statistics

Step :

1. From the statistics menu, choose 1-VAR or 2-VAR and press [ENTER].
2. Press [DATA] and there are three menus: DATA-INPUT, LIMIT-SET, DISTR. Please select DATA-INPUT and press [ENTER].
3. Enter an x - value and press [ ].
4. Enter the frequency (FREQ) of the x - value (in 1-VAR mode) or the corresponding y - value (in 2-VAR mode) and press [▼].
5. To enter more data, repeat from step 3.
6. Press [2nd] [STATVAR] and scroll through the statistical result menus by [ ] or [] to find out statistical variables you want. (See table below)

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Variable	Meaning
n	Number of the x values or x-y pairs entered.
x or y	Mean of the x values or y values
Xmax or Ymax	Maximum of the x values or y values
Xmin or Ymin	Minimum of the x values or y values
Sx or Sy	Sample standard deviation of x values or y values. Sx = √Σ(x-x2/n-1), Sy = √Σ(y-y2/n-1)
σx or σy	Population standard deviation of x values or y values σx = √Σ(x-x2/n - σy = √Σ(y-y2/n)
Σx or Σy	Sum of all x values or y values

x^2 or y^2 Sum of all x^2 values or y^2 values
x y Sum of (x y) for all x - y pairs

Process capability

Step: (See Example 53~54.)

1. Press [DATA] and there are three menus: DATA-INPUT, LIMIT-SET, DISTR. Please select LIMIT-SET and press [ENTER].
2. Enter an upper spec. limit value (X USL or Y USL), then press [▼].
3. Enter a lower spec. limit value (X LSL or Y LSL), then press [ENTER].
4. Enter the datasets you want under DATA-INPUT mode.
5. Press [2nd] [STATVAR] and scroll through the statistical results menu by [▶] or [▲] to find out process capability variables you want. (See table below)

Variable

Meaning

Cax or Cay

Capability accuracy of the x values or y values

$$ C _ {a x} = \frac {\left| \frac {\left(x _ {U S L} + x _ {L S L} - \bar {x}\right)}{2} \right|}{\frac {x _ {U S L} - x _ {L S L}}{2}}, C _ {a y} = \frac {\left| \frac {\left(y _ {U S L} + y _ {L S L} - \bar {y}\right)}{2} \right|}{\frac {y _ {U S L} - y _ {L S L}}{2}} $$

Cpx or Cpy

Potential capability precision of the x values or y values,

$$ C _ {p x} = \frac {x _ {U S L} - x _ {L S L}}{6 \sigma}, C _ {p y} = \frac {y _ {U S L} - y _ {L S L}}{6 \sigma} $$

CpKx or Cpky

Minimum (C_PU, C_PL) of the x values or y values, where C_PU is upper spec. limit of capability precision and C_PL is lower spec. limit of capability precision

$$ C _ {p k x} = \operatorname {M i n} \left(C _ {P U X}, C _ {P L X}\right) = C _ {p x} \left(1 - C _ {a x}\right) $$

$$ C _ {p k y} = \operatorname {M i n} \left(C _ {P U Y}, C _ {P L Y}\right) = C _ {p y} \left(1 - C _ {a y}\right) $$

(Note): When calculating process capability in 2-VAR mode, the x_n and y_n are independent with each other.

Probability distribution

Step:(SeeExample55.)

1. Based on the datasets in 1-VAR mode, press [DATA] and there are three menu : DATA-INPUT, LIMIT-SET, DISTR. Please choose DISTR and press [ ENTER].
2. Enter a a_x value, then press [ENTER].
3. Press [STATVAR] and scroll through the statistical results menu by [ ] or [ ] to find out probability distribution variables you want. (See table below)

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Variable	Meaning
t	Test value t = ax - x̄ / σ
P(t)	Represent the cumulative fraction of the standard normal distribution that is less than the value t
R(t)	Represent the cumulative fraction of the standard normal distribution that lies between the value t and 0. R(t) = 1 - (t)
Q(t)	Represent the cumulative fraction of the standard normal distribution that is greater than the value t Q(t) = |0.5 - (t)|

Linear regression

Step: (See Example 56.)

1. Based on the datasets in 2-VAR mode, press [STATVAR] and scroll through the statistical results menu by [ ] or [ ] to find out a, b, or r.
2. To predict a value for x (or y ) given a value for y (or x ), select the x' (or y' variable, press [ENTER], enter the given value, and press [ENTER] again. (See table below)

Variable	Meaning
a	Linear regression y-intercept a = Σy - b Σx/n
b	Linear regression slope b = (nΣxy - ΣxΣy)/(nΣx2 - (Σx)2)
r	Correlation coefficient r = (nΣxy - ΣxΣy)/√(nΣx2 - (Σx)2)(nΣy2 - (Σy)2)
x'	Predicted x values given a, b, and y values x' = y - a/b
y'	Predicted y value given a, b, and x value. y' = a + bx

Correcting data

Step: (See Example 57.)

1. Press [DATA].
2. To change x - values or the frequency of the x - value in 1-VAR mode (or the corresponding y - value in 2-VAR mode), please choose DATA-INPUT. To change upper spec.

limit value, or lower spec. limit value, please choose LIMIT-SET. To change ax, please choose DISTR.

1. Press [▼] to scroll through the data you have entered.
2. To change an entry, display it and enter the new data. The new data you enter overwrites the old entry. Press [▼] or [ENTER] to save the change.

(Note): Even you exit STAT mode, all data in 1-VAR and 2-VAR mode are still retained unless you clear all data by selecting D-CL mode.

Mode 2 - Base-n

Bases conversions

The number system (10, 16, 2, 8) is set by pressing [2nd] [dhbo] to display the menu, making one of the items underlined followed [ENTER]. A corresponding symbol - "d", "h", "b", "o" appears on the display. (The default setting is d : decimal base). See Example 58.

(Note) : The total range of numbers handled in this mode is 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF. If values not valid for the particular number system are used, attach the corresponding designator (d,h,b,o) , or an error message will appear.

Binary base ():0,1

Octal base (o):0,1,2,3,4,5,6,7

Decimal base (d):0,1,2,3,4,5,6,7,8,9

Hexadecimal base ():0,1,2,3,4,5,6,7,8,9,/A,IB,IC,ID,IE, IF

Pressing [ ] can use block function to display a result in octal or binary base which exceeds 8 digits. The system is designed to display up to 4 blocks. See Example 59.

Negative expression

• In binary, octal, and hexadecimal bases, the calculator represents negative numbers using complement notation. The complement is the result of subtracting that number from 100000000000000000000000000000000 in that number's base by pressing [NEG] key in non-decimal bases. See Example 60.

Basic arithmetic operations for bases

• The unit enables you to calculate in number base other than decimal. The calculator can add, subtract, multiply, and divide binary, octal, and hexadecimal numbers. See Example 61.

Logical operation

Logical operations are performed through logical products (AND), negative logical (NAND), logical sums (OR), exclusive logical sums (XOR), negation (NOT), and negation of exclusive logical sums (XNOR). See Example 62.

Mode 3 - CPLX

• Complex mode enables you to add, subtract, multiply, and divide complex numbers. See Example 63. The results of a complex operation are displayed as follow:

Real value

Im Imaginary value

ab Absolute value

ar Argument value

Mode 4 - VLE

Variable linear equations (VLE) mode can solve a set of simultaneous equations with two unknowns as follows:

$$ a x + b y = c $$

d x + e y = f , where x and y are unknown.

• In VLE mode, you just enter each coefficient (a, b, c, d, e, f) in the correct order, and the calculator automatically solves for x , y . See Example 64.

Mode 5 - QE

Quadratic equations (QE) mode can solve a equations as follows :

a x^2 + b x + c = 0 , where x is unknown.

• In QE mode, you just enter each coefficient (a, b, c) in the correct order, and the calculator automatically solves for all x values. See Example 65.

Guia General 3

Base octal (o):0,1,2,3,4,5,6,7

Base decimal ():0,1,2,3,4,5,6,7,8,9

Hexadecimal base (h): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF

Base decimal ():0,1,2,3,4,5,6,7,8,9

BaseHexadecimal ():0,1,2,3,4,5,6,7,8,9,/A,IB,IC,ID,IE, IF

Lineare Regression 19

Hexadezmale Basis (h): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF

Utiliser les Touches " 2nd "

Base octale (o):0,1,2,3,4,5,6,7

Base decimale ():0,1,2,3,4,5,6,7,8,9

Base hexadecimale (h): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF

Nella modalita MAIN, CPLX, VLE o QE, premei [DATA] o [STATVAR]

SYNTAX Er

$$ 1 8 0 ^ {\circ} = \pi \text {r a d} = 2 0 0 \text {g r a d} $$

Base decimale ():0,1,2,3,4,5,6,7,8,9

Base esadecimale (h): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, IA, IB, IC, ID, IE, IF

Decimalegetalbasis (d):0,1,2,3,4,5,6,7,8,9

Hexadecimalegetalbasis（h）:0,1,2,3,4,5,6,7,8,9/A，IB,IC,ID,IE,IF

AEndring at tilstanden (mode) 5

Vaelg en valgmulighed i displaymenuerne. 5

Anvendelse af " 2nd "tasterne. 5

Markoren 5

Foretag rettelser under indtastningen. 6

Gentagelsesfunktionen 6

Linear regression. 18

Rettelse af data 19

Mode 2 - Base-n. 19

Talsystemkonverteringer 19

Negativeudtryk. 19

Grundlaaggende aritmetiske operationer for talsysteme.. 20

Logiske operationer. 20

Mode 3 - CPLX. 20

Mode 4 - MAIN. 20

Mode 5 - QE. 20

Da-2

Generel vejledning

Tænd og sluk

Tryk pa [ON] for atænde lommeregneren. Tryk pa [2nd] [OFF] for at slukke lommeregneren.

a y-intercept for linear regression

$$ a = \frac {\sum y - b}{n} \frac {\sum x}{n} $$

b Haelningskoefficient for linear regression

$$ \mathbf {b} = \frac {\left(n \sum x y - \sum x \sum y\right)}{\left(n \sum x ^ {2} - (\sum x) ^ {2}\right)} $$

r Korrelationskoefficient

$$ \mathsf {r} = \frac {(\mathsf {n} \Sigma \mathsf {x y} - \Sigma \mathsf {x} \Sigma \mathsf {y})}{\sqrt {(\mathsf {n} \Sigma \mathsf {x} ^ {2} - (\Sigma \mathsf {x}) ^ {2}) (\mathsf {n} \Sigma \mathsf {y} ^ {2} - (\Sigma \mathsf {y}) ^ {2})}} $$

Oktal base (o):0,1,2,3,4,5,6,7

Decimal base ():0,1,2,3,4,5,6,7,8,9

Hexadecimal base (h): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF.

BbInonHeHne npouceca. 17

BepoTHocThoe pacnpedeJeHne 18

JInHeHnA perpeccn.. 19

KoppeKTnpoBka daHHbIX 19

Mode 2 - Base-n. 20

Ba30BbIe npeo6pa30BaHnra 20

OtpncaTeNbHbIe BbipaxeHHa 20

BaObOBe apAΦMeTHYeCKne opeaeni DnIe OCHOBAHN. 20

Jornueckne onepaun.. 21

Mode 3 - CPLX. 21

Mode 4 - VLE 21

Mode 5 - QE. 21

OchOBHoe pyKOBOdCTBO

IcToHnKn nHTaHnA

Hakmmte Knabniyu [ON] nla BkNIOeHHNITAHNA; HAKMMTE Knabniyu [2nd] [OFF] nla BbIKHOeHHNITAHNA.

3aMeHa BaTapeN

Kabkyntop SRP-280N pa6oTaet no cpeCTbAM oHno ankanHueckc6 batapeyn (G13/LR44). KaBkyntop SRP-285N MOKET nIHTbCtO DBYX NcTOHKnOB nTTHAnO OHNJ UeNoCHn 6batapeyn mN CONHeHNO 6batape. EcnO tObopaKeHne Ha 3kApae CTAHOBITc TycKbIM n TpydMbI n PPOUTeHnA (oc6eHn B cnyae cnafo nctOnHnKa cBaTe dnr SRP-285N), Tpe6yeTc KOPARzamaHa batepe.

Peped Naayalom BbUcJIeHn

I3meHeHne pexIma pa6oTb KaIbkyIaTopa

HaJMeIte KnaBnUH [MODE], YTObI B13BaTb peXIM MeHIO. BblMOKETe BbOpaTb Odn H3 1ueCTn ONEpaHOnHHxpeKIMOB, BKJIocay "0) MAIN", "1)STAT", "2)Base-n", "3)CPLX", "4)VLE", "5)QE".

PacCMOTpIM Ha npImepe pexkma " 2)Base-n":

Cnocob 1: NcnoIb3y4 kNaBmU [ ]uN [ ]HaxOIM M B MeHO "2)Base-n", 3aTe HauKaTHeM KNaBmU [ ENTER ] BBOdIM Byb6pAnHHb peKHM B pa60Ty.

Cnococ 2: Ytobb HemeDJIeHNO BECTN peKIM B pa6OTy, HenocpeIcTBHeHO hAKImaem HA KlaBnA tyeHOMep JxelaemOro peKIMMA. [2].

BbI6op nyHKTOB n3 MeHIO dncnJeA

MhorneФункими uctahobkn OoctynbH b MeHO. MeHO -30 nepechHu BbBpaBbAbxOnuOIN, OTo6PbaKbBbBbC b TcPoKE BBOa.

PacCMOTPM HA npIMepe [DRG].Hakatne KnaBmM MAIN OTObpaaet MeIOI JIy BbOpa yCTaHOBOK YrIIOB B OCHOBHM pEXKIME:

Cnocob: HaxmITE KnaBnUy [DRG], YTObI BbIBcTn MeHIO, 3aTeM nepeDBeBnAte KypcOp [ ] INN [ ] K HxhOMY nyHKTy. Korda BbCBeTITcN HxKbI NpHKT, HaxmITE KnaBnUy BBOda [ ENTER].

Длп янков对接угимета, поka яngт BCbCeHNe NaDcIe. Пинк и ВеличИну aprymteHaTo OTo6paxeHb NapebluYeuM 3kpae.

■ NcnoIb3OBAHne KnaBnI " 2nd " Btoporop ernctpa

Korda Bby haxmte KnaBniu [2nd] , 2nd "noaBntc Ha dnCnlee, coo3laq, TQ 6ydt Bb6pHaФynsui Btporo pcrntpa Haxatoi KnaBniu. Ecnn Bby no ooi6ke haxan KnaBniu [2nd] , npocTo haxmite eue pa3 knaBniu [2nd], nHdkatop "2nd" icUe3het.

Kypcop

Hakattem KnaBnI [ ] nnn [ ] Kypocp nepeDbraTcR BNEBO nnn BnpaH. HnepeBbHoe Hakatme NIOBI 3TNX KnaBnU yBENNI CKOPOCTb nepeBbKHeNIA Kypocpa.

HaxaTneM KnaBn [▼] INI [▲] MOxHo nepeDbIratb BvDmMyo YacThkPra HBePx INIINBn3, BbIOJa H NaCInneh BeuIMbE b HactOsi MmoTe DaHHbe. Bbl MoKTe BHOb NcIOJb3OBaTb INI peDAkTIpoBaT PbIbIyUe 3aNcN KOrda OHN OTOb6paxeHb B CTPOKe BBODa.

IcnpaBHeHn npn BBOe HOpMaun

YtObbl ydAmntb 3nAkhc n NOMouBb KypCopa, nepeBmraRan KypCOP haxatmem KnaBnI [ ] mN [ ] bIyDenIte HnyKhIe 3nAkhc, a 3aTeM hXnMIte KnaBnUy [ DEL ]. Kpome 3tOrO, hnepeBbHoe hXnatme KnaBnIu [ DEL ] ydaanReT 3nAkh c BpAbO, YtObbl ydAmntb 3nAkh c BNeBO OT KypCopa, kKaDbl pa3 HxkMaJTe KnaBnUy [ DEL ].

Tуобы 3аменив знak, bдeнite Даньий знak Nepeбигая Кypссoc INСОльь�оанем Кавиши [ ] n [ ] , 3aTeM OCUшECTВITE HOБY BBOД дяЗаменив Знak.

YTO6bI BCTaBnTb 3NaK, npeBdINbTe KypcOp K MeCy, rge Bbl XOTIne OUCJeCTBtB BOD, 3NaK 6yDcET BCTaBHeN nepeB bdyenHeHbM 3NaKOM HaxaTneM KlaBnI [2nd] [INS] n, COOTBeTcBHeHo, BBDEHeN MOBOrO 3HaKa.

Hakatne KlaBnI [2nd] [%] DeNIT YncNo Ha dnCnnee Ha 100. Bbl Mokette IcNOpbn3oBaNb3 TBy nocNeDobatEnbHocTb KlaBnI dny BbUncnEHN pnoCTOB, DobabnEN, CKNIDOK IN pnoeHTbIX DoJeN. CMOTPte npimep 20-21

ФункцяНерpepbIBHbIXВblIcneHn

KabkyIITopnpedOCTABTREMOBKOCTb NOBTOPA NOCNEDHEn OepaHH,3aBepeweHHoH HaxaHmEHN KNABIMEN [ENTER],dAnDaJIbHeHIXBbUHCNEHIN.CMOTPINEpMep 22.

JaEe ccnsi BbUHcHEnH3aBepuaOHTc HaxatmeN KNABWHI [ENTER] ,PONyHuEHnPe3yNtAtMOKet 6bITNCIOB3OBAH DAnBaHneuXh BbUHcNHeH. CMOTPINE pnpMeR 23.

Функця OTbeteA

Функць OTBETa COXpAHReT NocIeHnIN NOIpyeHHbIpe3yJIbTaT. BEmiUHnA COXpAHReTcDA June NoCne OTKIIIOeHnEMNITAHm. Pe3yJIbTaTbI YICNObIX BEmiHN IN CNObIX BByIpaXeHnIN, NOcNE BBEDEHn KOTOpBX HAKATA KNABIMUA [ ]COXpAHrHTcR 3ToIФункиe. CMOTPte PrinMep 24.

（PnmeuHne）：JaKeE cNIn bIOnNoHE Me bUChNEHn 3aKaHNBaTeCra OUnbOko，DaHHaYfHuKuJcO coXpaHReT TeKUHe BEnHbI.

IlorapnΦmbi ANTHINORAPnΦmbi

KanbkyIITOP MOKET BbHcNPTB oBbYHbE HaTypaIbHbIe NarapnMbHn aHTINlorapnMbMy, McOnb3yA kablunm [log], [In ], [2nd] [10^x] In [2nd] [e^x] . CmOpntpe npImep 25-27.

BbIcJIeHnC dpo6aMn

ДрбьгБелчнblOTOBpaKaHOTcCleDyUOUM6b3OM:

5/12

5 0T6paXeHne 12

56U5/12

OTo6paXeHnE 56 1/2

YTObbl BBeCTn CMeUaHHOe YUCNIO, BBeNTe UeNyo UaCTb, HAKMITE KHOKNy [a b/c], BBeNTe NcNITEnb, HAKMITE [a b/c] IN BBENTe 3HaMeHateJIb. YTObbl BeCTn HnepaBnIbHyO npO6b, BBeNTe YNCMTeJIb, HAKMITE KNaBNIu y [a b/c] IN BBENTe 3HaMeHateJIb. CMOTPte PrImEe 28.

B BblHcSHeHHx C npObMM COKpaAeMoE CHNcNo pRbMDIITCK HnHMHeMbSy 3hAMEHaTeNIO Nocne HAKaTHy FHyHKUHOHbIbX KNaBnI [+ ,[-],[x],[÷ ] UINKNaBnIu [ENTER].HakATMeH KNaBnI [2nd] a b c d e] oTObpaKaMaM EBAuYHna 6yDet npeBaPauSea H nepaBnIbHyO npOb, n HaobOpot. CMOTPnTe npIMep 29.

Hakmte KnaBn [2nd] [F 一 D ] n [ENTER ]dN KOHeBaI Mekdy deCtMnHbIMn nDpObHbIMn pe3yIbTaTAMn. CMOTPnTe npImep 30.
OpeaunCBeINHnAMn CoadepXauHMn DpObN n DeacTNUhBie DpO BOCUeCTBnIOTcBΦOpMaTe DecaTNUhBxDpoBé CMoTPrte npMep 31.

06paueHne yrIIOBbIx eINHnC

HakatneM KnabuN [DRG] npO3BODNTc BbIoD Ha 3kpA HMeIOIy rYIbObEx eEIMH (DEG, RAD, GRAD).CBy3b Mekdy TpEmy YrTObBIM ENHINUZAMi:

$$ 1 8 0 ^ {\circ} = \pi \mathrm {r a d} = 2 0 0 \mathrm {g r a d} $$

06paueHne yIIOB (CMOTpnte npIMep 32) :

1. I3MENHTe yCTAHOBK YrTNO B NOYMONHANHO HA Te, KOTOpbIe BBy KTOHNTe 6oBPTnH.
2. BBeDnTe BeJInuHny eJINHuZbI dN KOnBepTaun.
   3.HaXMMte KnaBHy [DMS]IyBaBbOdaHa dnCnneMeHo. EAnHnBu, KOToPbe Bb MoXeTe BbOpbat : 一 ^ (rpadCyb), (MnHyt)," (cKaNHy), r (paNaHb), g (padaNaHb) IIN DMS (rpaDcyb-MnHyt-BcKaHyd).
   B. 4bEepte eHINuCbI, I3 KOTOpbIX Bbl XOTITe OcUyIeCTBnTb KOHEpTaIuO.
   5.ДыждынжмITEКлавиуВБОА [ENTER].

Дпяпесвда углов в Нотацно DMS bbyберпte ＂DMS ＂, KOTOBь кОнсртчует Bвдимоь в НOTаци DMS, rge 1"30"0'' npdctablalet 1 rapdyc, 30 mHyt, 0 cekyhd. CmOTpne npimep 33.
Дагпеговда hotaums DMSВ ваданы,вьберитe 假 (rpaadcyb), /(mNHTb)，/（cckyHbD). CMOTPte npme34.

TpnuHOMeTpueckne n o6paTHbIe TpnuHOMeTpueckneФyHKUIN

KanbkyIITOP O6e3neUBAOT BbNCHNEHNA C TPNIOHOmETPmHeCKIMMn I o6paTHbMyT MTRPOHOmETPmHECKIMMn FyHKLAMn - sin, cos, tan, sin-1, ^-1 n tan. CMOTPnE pnpme 35-37.

(Ппмочи):Еспн ИСРЛБУТСТ 3TN KNAВИSH,у6eДNTeCb,уTO KaIbKByJATOP yCTaHOBJIEN ДЯРабOTы C HNYKbIMN YrTNOBbIMBYEINHAMM.

■IInep6oJnueckneIO6paTHbIe IInep6oJnueckneФyHKcH

KaIbkyIITOP IcNcIb3yOIT KNaBvIiH [2nd] [HYP].IaIb BbIcNcHEnI rIpebpOJIeueKxN + oBapThbIgIepebpOIueKcxPhyHKuI -sinh, cosh, tanh, ^-1 , ^-1 n tanh . CMOTPNE pnpMep 38-39.

r COOTHOWeHHe KO3ΦΦnUeHToB BELNuH

$$ r = \frac {(n \sum x y - \sum x \sum y)}{\sqrt {(n \sum x ^ {2} - (\sum x) ^ {2}) (n \sum y ^ {2} - (\sum y) ^ {2})}} $$

x' OnpedeneHeneBenuHnbl xIaI daHbHx BENuHHa,b n y 3naHenn.

$$ x ^ {\prime} = \frac {y - a}{b} $$

y' OnpedeneHeneBenuHnbl yIaDaaHbX bENuHn a,b n x3naHEn.

$$ \mathbf {y} ^ {\prime} = \mathbf {a} + \mathbf {b x} $$

KoppeKTIpOBKa daHHbIX

Uzywanie klawisza " 2nd "

Error message will appear on the display and further calculation becomes impossible when any of the following conditions occur.

DOMAIN Er

Fraction value display is as follow :

Basis desimal ():0,1,2,3,4,5,6,7,8,9

Basis heksadesimal (h): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF

If you want to dispose this product, do not mix with general household waste. There is a separate collection systems for used electronics products in accordance with legislation under the WEEE Directive (Directive 2002/96/EC) and is effective only within European Union.

Ge

Information for Users on Collection and Disposal of used Batteries.

The symbol in this information sheet means that used batteries should not be mixed with general household waste.

For proper treatment, recovery and recycling of used batteries, please take them to applicable collection points.

For more information about collection and recycling of batteries, please contact your local municipality,your waste disposal service or the point of sale where you purchased the items.

Information on Disposal in other Countries outside the European Union.

This symbol is only valid in the European Union. If you wish to discard used batteries, please contact your local authorities or dealer and ask for the correct method of disposal.

Design and specifications are subject to change without notice.