CK59 - Calculator AURORA - Free user manual and instructions

Product Type	Basic Desktop Calculator
Brand	Aurora
Model	CK59
Display Type	LCD (Liquid Crystal Display)
Number of Digits	8 digits
Power Source	Battery (LR44 or equivalent) and optional solar cell
Dimensions (W x D x H)	Approx. 70 x 115 x 15 mm
Weight	Approx. 60 g (without battery)
Basic Functions	Addition, Subtraction, Multiplication, Division
Additional Functions	Percentage, Square Root, Memory (M+, M-, MR, MC)
Memory	1 independent memory register
Key Type	Plastic buttons with tactile feedback
Auto Power Off	Yes, after approximately 7 minutes of inactivity
Operating Temperature	0°C to 40°C (32°F to 104°F)
Included Accessories	User manual (PDF), battery (installed)
Cleaning Instructions	Wipe with a soft dry cloth. Do not use chemicals or abrasive cleaners.
Safety Notes	Keep away from water and heat sources. Do not disassemble.
Spare Parts Availability	Battery type LR44 commonly available. Other parts not user-serviceable.
Repairability	Not designed for repair. Contact manufacturer for support.

Frequently Asked Questions - CK59 AURORA

How do I turn on the Aurora CK59 calculator?

Press the ON/C button to turn on the calculator. It will automatically power off after a period of inactivity.

How do I clear the display?

Press the ON/C button once to clear the current entry. Press it twice to clear all pending operations.

How do I use the memory function?

Use M+ to add the displayed value to memory, M- to subtract, MR to recall, and MC to clear memory.

What type of battery does the CK59 use?

It uses a single LR44 (or equivalent) alkaline battery. It may also have a solar cell for backup power.

How do I replace the battery?

Slide the battery compartment cover off, remove the old battery, and insert a new LR44 battery with the correct polarity. Replace the cover.

Why is the display dim or not working?

Check if the battery is low or dead. Replace it if necessary. The calculator also has a solar cell; ensure adequate light if using solar power.

Does the calculator have a square root function?

Yes, press the √ key to calculate the square root of the displayed number.

How do I calculate percentages?

Enter the number, press % to convert to a percentage, or use it with other operations like addition or subtraction.

What is the warranty on the Aurora CK59?

Standard warranty is typically 1 year from the date of purchase. Check the included warranty card for details.

Where can I download the user manual?

The user manual can be downloaded for free from notice-facile.com or the Aurora website. It is available in PDF format.

USER MANUAL CK59 AURORA

AURORA OPERATING MANUAL

For use with AX-595

Printed in China

9220260

Removing and Replacing the Calculator's Cover

Always slide the keyboard end of the unit into the cover first. Never slide the display end of the unit into the cover.

Holding the cover as shown in the illustration, slide the unit out of the cover before use. Picture.....1

Holding the cover as shown in the illustration, slide the unit out of the cover after use. Picture.....2

Precautions

• Don't expose the machine to water, direct sunlight, extremely hot or cold temperatures or dusty environments.
• Don't drop the machine or subject it to heavy impact.
• Use a soft cloth to clean the machine. Do not use detergents.

Display (TrueView Dot Matrix Display)

S : Shift key
A : Alpha key
M : Independent memory
STO : Store memory
RCL : Recall memory
STAT : Statistics mode
D : Degree Mode
R : Radian Mode
G : Gradient Mode
FIX : Fixed-decimal setting.
SCI : Scientific Notation
Maths : Math Display mode

▲ :Scroll Up

▼ ; Scroll Down

: Scroll Left

: Scroll Right

Disp :Multi-statements Display

Before Using the Calculator

■ Check the current Calculation mode

Be sure to check the status indicators that indicate the current calculation mode (COMP, STAT, TABLE), display formats setting and angle unit setting (Deg, Rad, Gra).

■ Return to initial setup

Pressing Shift CLR 1 (setup) = (Yes) CA to return the initial calculator setup.

This action will not clear the variable memories.

■ Initialize the calculator

When you are not sure of the current calculator setting, you are recommended to initialize the calculator (calculation mode "COMP", angle unit "Degree", and clear reply and variable memories), and LCD contrast by pressing Shift CLR 3 (All) = □ (Yes) [CA]

Getting Started

Power On and Off

■ First time operation:

Press ON Shift CLR \$ = QA to reset the calculator.

Power ON: When ON is pressed.

Power OFF: Shift OFF are pressed.

Display Contrast Adjustment

Press Shift SET-UP ▼ 5 (5: ◀ CONT ▶), enter the Display Contrast Adjustment screen.

Press ▶ to make the display contrast darken.

Press ◀ to make the display contrast lighten.

Press CA or ON to confirm and clear the screen.

Auto Power Off Function:

When the calculator is not used for about 7 minutes, it will automatically power off.

■ To initialize the LCD contrast, press Shift CLR 3 = CA □ outside the Display Contrast Adjustment screen.

Mode Selection

■ Press MODE to enter the Calculation Mode Selection screen.
■ Press 1, 2, 3 to select the calculation mode.
■ See "Display Contrast Adjustment" section.

Mode		LCD Indicator	Operation
Normal calculation	COMP		MODE 1
Statistical calculation	STAT	STAT	MODE 2
Function Table calculation	TABLE		MODE 3

■ Initial mode is COMP mode.

Calculator Set-up Menu

■ Press Shift SET-UP to enter the Calculator Set-up Menu; press / ▲ for next/previous page.

■ To select the calculator input & output format [1] Maths or [2] Line.

[1] Maths-(Maths mode): The

majority of calculation input and output (e.g. Fraction, pi, square root number) are shown in Mathematics textbook format. And "Maths" icon will be shown.

[2] Line-(Line mode): The majority of calculation input and output are Shown in the lines format.

Maths mode

Line mode

■ To select the angle unit [3] Deg, [4] Rad or [5] Gra

[3] Deg: Angle unit in Degree
[4] Rad: Angle unit in Radian
[5] Gra: Angle unit in Gradient

90^ = 2 radiation 80 grads

■ To select display digit or notation [6] Fix, [7] Sci or [8] Norm

[6] Fix: Fixed Decimal, [Fix 0\~9?] appears, specify the number of decimal places by pressing [0] \~ [9].

Example: 230 ÷ 7 =32.8571 (FIX 4)

=32.86(FIX 2)

[7] Sci: Scientific Notation, [Sci 0\~9?] appears, specify the number of significant digits by pressing [0]\~[9].

Example: 230 ÷ 7 =32.8571 (FIX 4)

$$ = 3 2. 8 6 (\text { FIX } 2) $$

[8] Norm: Exponential Notation, [Norm 1\~2?] appears, specify the exponential I notation format by pressing [1] or [2].

Norm 1: Exponential notation is automatically used for

$$ | x | < 1 0 ^ {- 2}, | x | > = 1 0 ^ {1 0} $$

Norm2: Exponential notation is automatically used for

$$ | x | < 1 0 ^ {- 9}, | x | > = 1 0 ^ {1 0}. $$

Example: 1 ÷ 1000 = 1 × 10^-3 (Norm 1)

$$ = 0. 0 0 1 (\text { Norm } 2) $$

■ To specify the fraction calculation result display format [1] ■- or [2] ■.

[1] ■- : specify Mixed fraction display. ■-

[2] ■: specify Improper fraction display.

■ To select the statistical display format [3] STAT([1] ON or [2] OFF)

[1] ON: Show FREQ ( Frequency ) Column in Statistical Data Input Screen.

[2] OFF: Hide FREQ ( Frequency ) Column in Statistical Data Input Screen.

■ To select the decimal point display format [4] Disp ([1] Dot or [2] Comma)

[1] Dot: specify dot format for Decimal point result display.

[2] Comma: specify comma format for Decimal point result display.

■ To Adjust Display contrast [5] ◀ CONT ▶

See "Display Contrast Adjustment" section.

Inputting Expressions and Values

Input Capacity

This calculator allows you to input a single calculation up to 99 bytes. Normally, one byte is used as each time you press one of the numeric keys, arithmetic keys, scientific function keys or Ans. Some functions require 4-13bytes, Shift Alpha, and the direction keys will not use up any bytes.

- When input capacity is less than 10 bytes, the input cursor will change from "I" to "■" that notifying the memory is running now.

Input Editing

■ New Input begins on the left of display. If input data is more than 15 characters, the line will scroll to the right consecutively. You can scroll back to the left by using ▶ and ▶ to review the input.

In Line mode, press ▲ to let the cursor jump to the beginning of inputting, while ▼ will jump to the end.

In Maths mode, press to let the cursor jump to the beginning of inputting while it is at end of the input calculation. Or press to let the cursor jump to the end of inputting while it is at the beginning of the input calculation.

■ Omit the multiplication sign and final close parenthesis.

Example: 2 × 100 × (1 + 3) = 16

Including × *1 2, 7 3	Operation 1	Display 1
	2 × bg 1 0 6 7 × 2 ^*1 <1+4> 3 ^*3	2 × (100) × (1 + 3) 16
Omitting × 1, Omitting 1 3	Operation 2	Display 2
	2 bg 1 0 6 7 1+3	2 (100)(1 + 3) 16

*1. Omit multiplication sign (x)

- Input before an open parentheses (□: 1 x (2+3).

-Input before scientific functions that includes parenthesis: 2 x sin(30).

- Input before Random number function Rand,

- Input before Variable (A, B, C, D, E, F, X, Y, M), π, e.

*2. Scientific functions come with the open parenthesis.

Example: (· , (· ,Pol(· ,LCM(· You need to input the argument and the close parenthesis

*3. Omit the last close parenthesis before the =, M+, Shift STO.

■ Insert and overwrite Input mode

In Line mode, you can use INSERT Ins or overwrite mode for inputting. In Insert mode (Default input mode), the cursor is a vertical flashing line " | " for inserting a new character.

In overwrite mode, press Shift Ins key to switch the cursor to a flashing horizontal (_) and replace the character at the current cursor position.

In Maths mode, you can only use the insert mode.

Whenever the display format changes from Line mode to Maths mode, it will automatically switch to the insert mode.

■ Deleting and Correcting an Expression

In insert mode: Move the cursor to the right of the character or function that needs to be deleted, then press DEL

In overwrite mode: Move the cursor under the character or function being deleted, then press DEL

Example: 1234567+889912

(1) Replace an entry (1234567→1234560)

Mode Setting	Key In operation	Display(Input Line only)
Method 1:Line/Maths mode-Insert mode	1234567+889912<7 times	1234567| +889912
	DEL D	1234560 | +889912
Method2:Line mode-Overwrite mode	Shift SET-UP 1234567+889912Shift ns	1234567+889912
	<3 times	1234567-889912
	D	1234560=889912

(2) Deletion (1234567→ 134567)

Method1:Line/Maths mode- Insert mode	12 times	12 | 34567+889912
	DEL	134567+889912
Method 2: Line mode - Overwrite mode	hiftts	1234567+889912_
	13times	1234567+889912
	DEL	134567+889912

(3) Insertion (889912→2889912)

Line/Malhs mode – Insert mode	Stimes	1234567+ | 889912
	2	1234567+2| 889912

Inputting and Display Result in Maths Mode

In Maths Mode, the Input and display result of fraction or certain functions (log, x^2 , x^3 x ^ , , [3] , - , x^1 , 10^ , e ^ , Abs) are shown in Handwriting/ Mathematics format.

MATHS MODE : shift \$ET-UP 1

Example In Maths mode	Key In operation	Display

Remark

(1) Some input expressions cause the height of a calculation expression to be greater than one display screen. Maximum input capacity: 2 display screen (31 dots x2).

(2) Calculator memory limits how many functions or parentheses can be input in any single expression. In this case divide the expression into multiple parts and calculate separately.

(3) If part of the expression you input is cut off after calculation and in the result display screen you can press ◀ or ▶ to view the full expression.

Basic Calculations

■ Press MODE 1 to enter COMP mode.

■ During the busy calculation, the calculator shows only the indicators (without any calculation result). You can press CA key to interrupt the calculating operation.

Arithmetic Calculations

- To calculate with negative values (exclude the negative exponent) enclose them with parentheses.

● This calculator supports 99 levels of parenthetical expression.

MATHS MODE: Shift \$ET-UP 1

Example in Maths mode	Key in operation	Display
(2.5)^2		(2.5)^2 254
(4×10^-75)(-2×10^-78)		4=75×-2=-78 -1125

Memory Calculations

■ Memory Variables

- There are 9 memory variables (A - F, M, X and Y), which store data, results, or dedicated values.

- Store values into memory by pressing Shift STO + Memory variable.

- Recall memory values by pressing RCL + Memory variable.

- Memory content can be cleared by pressing 0 Shift STO+Memory variable. Example: 24+6→A (30 store into A), calculate 2 sin A and clear memory A.

MATHS MODE: Shift \$ET-UP 1

Example In Maths mode	Key in operation	Display
24+6→A		24+6→A 30
2×sin A=1		2sin(A 1
Clear memory A		0→A 0

■ Independent Memory

- Independent memory M uses the same memory area as variable M. It is convenient for calculating cumulative totals by just pressing M+ (add to memory) or M- (subtract from memory).

● Memory contents are retained even when the calculator is powered off.

- Clear independent memory (M) by pressing 0 Shift STO M

- Clear all memory values by pressing Shift CLR 2(Memory) = CA

■ Answer Memory

- The input values or the most recent calculation result will be automatically stored into Answer memory whenever you press = Shift = .M+. Shift M-, Shift STO memory, RCL memory. Answer memory can hold up to 18 digits.

- Recall and use the latest stored Answer memory by pressing Ahs.

- Answer memory is not updated as an error operation had been performed.

- Answer memory contents can be maintained even if pressing CA, changing the calculation mode, or turning off the calculator.

Example in Maths mode	Key in operation	Display
123+456→M+, Ans2-335,241		Ans2 335241
789012 Ans = 453,771		789012 Ans 453771

Fraction Calculations

The calculator supports Fraction calculation and the conversions between Fraction, Decimal point, Mixed fraction and Improper fraction.

- Specify the fraction calculation result display format by either mixed fraction (■) or improper fraction (■) in set-up menu.

- At the default setting, fractions are displayed as improper fractions (—).

- Mixed Fraction display result only available after setting the (■-) in the setup menu.

	Improper Fraction(■)	Mixed Fraction(■)
Maths Mode	133	413
Line Mode	13J3	4J1J3

■ Press F D to switch a calculation result between fraction and decimal format.

■ Press shift a b/c→d/c to switch a calculation result between improper fraction and mixed fraction format.

■ Result will be displayed in decimal format automatically whenever the total digit of a fractional value (integer + numerator + denominator + separator marks) exceeds 10.

If a fraction calculation is mixed with decimal value, the result will be displayed by decimal format.

Fraction Decimal point conversion

MATHS MODE: Shift SET-UP 1

Example In Maths mode	Key in operation	Display
113 + 56 = 136 In Maths mode		113 + 56 136
136 2.166666667 (Fraction Decimal)		113 + 56 2.166666667
2.166666667 ^216 (Decimal Mixed Fraction)		113 + 56 2 16

Percentage Calculations

MATHS MODE : Shift SET-UP 1

Example in Maths mode	Key In operation	Display
To calculate 30% of 820 (Maths mode)		820×30%
The percentage of 75 against 12 (Maths)		75÷12%

mode)

Degree-Minutes-Seconds Calculations

Use degrees (hours), minutes and seconds key to perform a sexagesimal (base-60 notational system) calculation or convert the sexagesimal value into decimal value.

Degree-Minutes-Seconds Decimal points

MATHS MODE : Shift SET-UP 1

Example in Maths mode	Key in operation	Display
99°0'4.8"÷0.8=123°45'6"(Maths mode)		99°0'4.8"÷0.8123°45'6"
123°45'6"123.7516667 (Maths mode)		99°0'4.8"÷0.8123.7516667
2.345→2°20'44.16"(Maths mode)		2.34562°20'44.16"

Replay & Multi-statements

■ Replay Memory Function

● Replay memory is only available in COMP mode.
- After the calculation is executed, the calculation input and result will be stored in the replay memory automatically.
- Pressing ☑ (or ▲) can replay the performed calculation input and result history.
- After obtaining the calculation result on the display, press to edit the input expression of that result.
- If the ▶ indicator is on the right side of a calculation result display, you need to press CA and then ◀ or ▶ to scroll the calculation.
● Replay memory is cleared when you

(1). Initialize calculator setting by Shift CLR 3 = CA

(2). Change from one calculation mode or display mode to other
(3). Press ON key.
(4). Press Shift OFF to power off machine.

■ Multi-statements Function

• Use a colon : to put two or more calculations input together.
• The first executed statement will have "Disp" indicator; and the "Disp" icon will disappeared after the last statement is being executed.

MATHS MODE: Shift SET-UP 1

Example in Maths mode	Key in operation	Display
1×23=232+25-27Using a multi-statement in Maths mode		1×23:2+25|
		▲ Disp1×23 23
		▲2+25 27
Replay the previous Calculation history 1×23=23		▼1×23 23

Functional Scientific Calculations

■ Press MODE 1 to enter COMP mode.
■ π=3.1415926535897932324
■ e = 2.7182818284590452324

MATHS MODE: Shift SET-UP 1

Example in Maths mode	Key in operation	Display
( [3]3^2 + 5^3 )^-1 × -0.6139244642		( [3]3 + 5^2 )^-1 × 0.6139244642
[3]2^5 + [3]243 -7		(2^5 + 243) 7

Logarithm, Natural logarithm, Antilogarithm and logab.

MATHS MODE: Shift SET-UP 1

Example In Maths mode	Key in operation	Display
e^-3+10^1.2+ 3= 16.99733128		e^-3+10^1.2+ (3) 16.99733128
_28- 1-3		_2(8)-(1/3)

Angle unit Conversion

The calculator angle unit setting is "Degree, pressing Shift SET-UP enter the setup menu to change the unit to "Radian" or "Gradient:

1:Maths	2:Line
3:Deg	4:Rad
5:Gra	6:Fix
7:Scl	8:Norm

Press the corresponding number key 3, 4 or 5 for the angle unit you need then the display will show the D, R, G indicator accordingly.

Convert an angle unit between "Degree", "Radian" and "Gradient" by pressing Shift DRG.

1:	2: r
3:

Then, pressing 1, 2 or 3 will convert the displayed value into the selected Angle unit.

MATHS MODE: Shift SET-UP 1

Example In Maths mode	Key in operation	Display
Convert 180 Degree into radian and gradient (180°-π ^Rad -200 ^Grad )

Trigonometry Calculations

■ Before using the trigonometric functions (except hyperbolic calculations), select the appropriate angle unit(Deg/Rad/Gra) by pressing Shift SET-UP

■ 90^ = 2 Radians=100 Gradients.

Example in Maths mode	Key in operation	Display
Degree Mode	Shift SET-UP
sin30=1/2	sin 3 0 -	sin(30 1/2
\frac{1}{\sin45^{\circ}} = \text{Cosec } 45^{\circ}$ =√2	sin 4 5 1 -	sin(45)- √2

■ Hyperbolic (sinh /cosh/tanh), Inverse Hyperbolic(sinh ^-1 /cosh ^-1 /tanh ^-1 ) Funtions.

■ Pressing hyp enter sub-hyperbolic menu.

1:sinh	2:cosh
3:tanh	4:sinn ^1
5:cosh ^-1	6:tanh ^-1

MATHS MODE: Shift SET-UP 1

Example in Maths mode	Key in operation	Display
sinh2.4 -cosh2.4=-0.09071795329		sinh(2.4-cosh(>-0.09071795329
^-145 =4.499686191		^-1(45 4.499686191

Permutation, Combination, Factorials and Random Number Generation

■ Permutation: nPr = !(n-n)!

■ Combination: nCr = !r!(n-r)!

■ Factorial: x!=x(x-1)(x-2)...(2)(1)

MATHS MODE: Shift SET-UP 1

Example in Maths mode	Key in operation	Display
10P4-5040		10P4 5040
4C2-6		4C2 6
10I-3628800		10! 3628800

■ Random Number Generation

Shift Rand : Generate a random number between 0.000 and 0.999. And the Display result will be fraction format in Maths mode status.

Alpha -Rand:Generate a random number between two specified positive integers. The entry is divided by “,”.

MATHS MODE: Shift SET-UP

Example in Maths mode	Key in operation	Display
Generate a random number between 0.000 & 0.999		Rand7391000
Generate an integer from range of 1 to 100		I-Rand(1,10043

*The value is only a sample, results will differ each time.

Least Common Multiple and Greatest Common Divisor

■ LCM: Calculate the least common multiple among three positive integers. ■ GCD: Calculate the greatest common divisor among three positive integers.

MATHS MODE: Shift SET-UP

Example	Key in operation	Display
LCM(15.27,39) -1755		LCM(15.27,39) 1755

LINE MODE: Shift SET-UP 2

Example	Key in operation	Display
GCD(12,24,60)=12		GCD(12,24,80)12

Integer Division Calculations(I-Div)

■ "Q" is quotient of an integer division. "R" is remainder of an integer division.
■ The calculated quotient value(Q) and remainder(R) will be stored into memory variables "C" and "D" automatically assigned.
In Maths mode, press ◀ or ▶ to scroll a long calculation result.
In Line mode, the quotient value (Q) and remainder (R) will be shown over 2 line.
■ Only Quotient Value (Q) can continue to be used for the next calculation or be stored into memory variables.

LINE MODE: Shift SET-UP 2

Example in Line mode	Key in operation	Display
35÷10=3×10+5Q=3R=5(Line mode)		I-Div(35,10Q- 3R= 5
Quotient value(Q)+3=6		Ans+3 6
Recall Quotient Value(Q)		C 3
Recall Remainder Value(R)		D 5

Coordinate Conversion

■ With polar coordinates, you can calculate and Display within -180° < ≤slant 180^ range, (Same as Radian and Gradient).
In Maths mode, press ◀ or ▶ to scroll the calculation result.
■ In Line mode, (x, y) or (r, ) will be shown over 2 line.
■ After conversion, the results will automatically be assigned to memory variables X and Y Press RCL X or y to show the results.

Rectangular Coordinates (Rec)

Polar Coordinates(Pol)

Shift Pol Convert rectangular coordinates (x, y) to polar coordinates (r, θ); Press RCL X for r, or RCL Y for θ.

Example in Maths mode	Key in operation	Display
With rectangular coordinate (x=1,y= 3 ). Find Polar coordinate (r,B) at degree mode.		Pol(1, 3 r=2, θ=60
		X2
		Y60

Shift Rec: Convert polar coordinates (r, θ) to rectangular coordinates (x, y); Press RCL X for x, or RCL Y for y.

Example in Line mode	Key In operation	Display
With Polar coordinate (r=2,θ = 60°) Find Rectangular Coordinate (x, y) at Degree mode		Rec(2,60 X= 1 Y= 1.732050808
	RCL X	X 1
	RCL Y	Y 1.732050808

Absolute Value Calculation

Example in Maths mode	Key In operation	Display
|(30-5)x(-n)| =1.327694426		|(30-5)x(-n)| 1.327694426

Engineering Notation

Example in Line mode	Key in operation	Display
1 ÷ 200 - 5 × 10^-3 (In Line Mode)		1 ÷ 200 5 × 10^-3
	ENG ENG	1 ÷ 200 5000 × 10^-6
	Shift ENG	1 ÷ 200 5 × 10^-3

Display Values Exchange

In Maths mode pressing D to change the calculation result value between fraction form Decimal form, form Decimal form, form Decimal form.
In Line mode, pressing D to ONLY change the calculation result value between fraction form Decimal form, the other and calculation will display the decimal value only.

LINE MODE: Shift SET-UP 2

Example InLine mode	Key In operation	Display
23 + 2 = 83 = 2.666666667(In Line Mode)		2 3+28 3
		2 3+22.666666667

MATHS MODE: Shift SET-UP 1

Example in Maths mode	Key in operation	Display
12 + 2 = 52 = 2.5 (In Math's Mode)
	F_< > D	12 + 2 2.5

MATHS MODE: shift SET-UP 1

Example In Maths mode	Key in operation	Display
60=3 =1.732050808		(60 3
	F D	(60 1.732050808
÷6=1z =0.5235987756	Shift ÷6	÷6 1z
	F D	÷6 0.5235987756

Remark

• Some Calculation results pressing D key will not convert the display value.
  ● Some display result conversion may take a long time.

Statistical Calculations

■ Press MODE 2 to enter Statistical Type Selection screen and select 1\~8. Then

enter Statistical calculation mode and "STAT" indicator lights up.

In Statistical calculation mode, press Shift STAT 1 (Type) to select the calculation type.

Statistical Type Selection

There are 8 types of Statistical Calculation after entering the Statistical Type Selection screen, press the number to select the type of Statistic Calculation.

1:SD 2:Lin

3:Quad 4:Log

5:e EXP 6:ab EXP

7:Pwr 8:Inv

Pressing Key	Statistical Calculation
1(SD)	One-variable statistics (X)
2(Lin)	Two-variable, Linear regression ( y = A + Bx)
3(Quad)	Two-variable, Quadratic regression ( y = A + Bx + C^x)
4(Log)	Two-variable, Logarithmic regression ( y = A × Blnx)
5(e EXP)	Two-variable, E exponential regression ( y = As^a)
6(ab EXP)	Two-variable, ab Exponential regression ( y = AB^c)
7(Pwr)	Two-variable, Power regression ( y = A^b)
8(Inv)	Two-variable, Inverse regression ( y = A + B/x)

Statistical Data Input

After confirming the calculation type of the above Statistical Type Selection screen or by pressing Shift STAT 2 in the STAT mode, the following Statistical Data input screen will be shown.

1-variable STAT

2-variable STAT
- After turning on Data Frequency "FREQ" in the calculator's setup menu, the FREQ column will be added into the above screen.
● The following are the maximum number of line for data input.

Statistic type	FREQ On	FREQ Off
Single Variable (only x input)	40	80
2 Variable (x & y Input)	26	40

• Input expression and display result value in Statistical Data Input screen are in line mode (same as Comp mode with Line mode status).
• After inputted the data, then press = to store the value into statistical registers and display the value (max, 6 digits) in the cell, and you can press cursor key to move the cursor between each cell.

Editing Statistical Sample Data

■ Replacing the Data in a cell.
(1) In Statistical Data Input screen, move the cursor to the cell you want to edit. (2) Input the new data value or expression, and then press = .

■ Deleting a line

(1) In Statistical Data input screen move the cursor to the line you want to delete.
(2) Press DEL

- Inserting a line

(1) In Statistical Data input screen, move the cursor to the line that will be under
the line being inserted.
(2) Press Shift STAT \$ (Edit).
(3) Press 1 (Ins).

■ Deleting All STAT Data input.

(1) Press shift \TAT \ (Edit).
(2) Press 2 (Del-A).

Statistical Calculation Screen

■ After inputting the STAT Data, press CA to enter Statistical Calculation screen.
■ Statistical Calculation screen are in Line mode for input & output Display.
■ Use Statistical Menu to calculate the Statistical result, (S-SUM, S-VAR, S-PTS, Reg).

Statistical Menu

In Statistical Data Input screen or Statistical Calculation screen, you can press Shift STAT to display the Statistical Menu screen.

1-variable STAT

2-variable STAT

STAT Items	Description
(1) Type	To enter the statistical calculation type screen
(2) Data	To enter the statistical Data input screen
(3) Edit	To enter Edit sub-menu for editing STAT editor screen contents
(4) S-SUM	To enter S-Sum sub-menu (calculating sum)
(5) S-VAR	To enter S-Var sub-menu (calculating variable)
(6) S-PTS	To enter S-PTS sub-menu (calculating points)
(7) Reg	To enter Reg sub-menu (Regression calculation)

Statistical calculation result in [4] S-SUM, [5] S-VAR, [6] S-PTS, [7] Reg

STAT Sub-menu	STAT Type	Value	Symbol	Operation
S-SUM	1&2 variable STAT	Summation of all x^2 value	x^2	Shift TAT4 1
		Summation of all x value	\sum x	ShiftTAT4 2
	2-variable STAT only	Summation of all y^2 value	y^2	Shift TAT4 3
		Summation of all y value	\sum y	ShiftTAT4 4
		Summation of xy pairs	xy	Shift TAT4 5
		Summation of allx^3value	\sum x^3	ShiftTAT4 6
		Summation of all x^2 y pairs	x^3y	Shift TAT4 7
		Summation of allx^4pairs	\sum x^c	ShiftTAT4 8
S-VAR	1 & 2 Variable STAT	Number of data sample	n	Shift TAT5 1
		Mean of the x values	x^-	ShiftTAT5 2
		Population standard deviation of x	σ_n	Shift TAT5 3
		Sample Standard! Deviation of x	xq_{t-1}	ShiftTAT5 4
	2-variable STAT only	Mean of the y values	y^-	Shift TAT5 5
		Population standard deviation of y	yq_b	ShiftTAT5 6
		Sample standard Deviation of y	yq_t-1	Shift TAT5 7
S-PTS	1&2 variable STAT	Minimum value of x	min X	ShiftTAT6 1
		Maximum value of x	max X	Shift TAT6 2
	2-variable STAT only	Minimum value of y	min Y	ShiftTAT6 3
		Maximum value of y	max Y	Shift TAT6 4
Reg	For non-Quad Reg	Regression coefficient A	A	ShiftTAT7 1
		Regression coefficient B	B	Shift TAT7 2
		Correlation coefficient r	r	ShiftTAT7 3
		Estimated value of x	x^	Shift TAT7 4
		Estimated value of y	y^{\wedge}	ShiftTAT7 5
Reg	For Quad Reg only	Regression coefficient A	A	Shift TAT7 1
		Regression coefficient B	B	ShiftTAT7 2
		Regression coefficient C	C	Shift TAT7 3
		Estimated value of x1	x^1	ShiftTAT7 4
		Estimated value of x2	x^2	Shift TAT7 5
		Estimated value of y	y^{\wedge}	ShiftTAT7 6

Statistical Calculation Example.
■ SD type Statistical calculation Example:
To calculate x^2, x_1,n,x,x_n,x_n1, X, X , of data: 75,85,90 77,79 in SD mode (Freq: OFF).

Key in operation	Display
MODE 2	1:SD 2:Lin3:Quad 4:Log5:o EXP 6:ab EXP7:Pwr 8:Inv
(SD)
7 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000
CA shift STAT41□□	X^2
CA shift STAT42□□	X
CA shift STAT43□□	n
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Quadratic Regression type Statistical Calculation Example:
ABC Company investigate the effectiveness of the advertisement expense in coded units, the following data were obtained:

Advertisement expenses: X	18	35	40	21	19
Effectiveness: y (%)	38	54	59	40	38

Please use the regression to estimate the effectiveness (estimate the value of y ) if the advertisement expenses X = 30 , and estimate the advertisement expenses level (estimate the value of X_1, X_2 ) for effectiveness y = 50 .

Key In operation	Display
	1:SD 2:Lin3:Quad 4:Log5:e EXP 6:ab EXP7:Pwr 8:Inv
CA 3 0 Shift STAT Y 6 = □	30y~ 48.69615715
CA 5 0 Shift STAT Y 4 = □	50x~ 31.30538226
CA 5 0 Shift STAT Y $ - □	50x~ -167.1096731

Function (X, Y) Table Calculation

■ Input f(x) function to generate the function table for x & f(x),
■ Steps to generate a Number Table

1. Enter TABLE Mode

Press MODE 3 to enter the Table function calculation,

1. Function Input screen

- Input function with X variable ( Alpha x ) to generate Function Table Result.

• All other variables (A,B,C,D, E, F, Y) and independent memory (M) act as the value.

- Pol, Rec, I-Div function not able to be used in Function Input screen. - The Function Table Calculation will change X-variable.

1. Input the start, end & step information

2. Input the value press = to confirm on the following screens

3. Input expression and display result value in following screens are in Line mode status
4. There are a maximum of 30 x-values for generate function table, The "insufficient Error" Will be shown if you input the start, end, step value combination is more than 30 x-values.

Display screen	You should input:
Start?	Input the lower limit of X (Default -1).
End?	Input the upper limit of X (Default =5).‘End value must be greater than the start value.
Step?	Input the increment step (Default =1).

■ In Function Table Result screen, you cannot edit the content, and press CA return to Function input screen.

Example: f(x) = x^3 + 3x^2 - 2x to generate the function table for the range 1 ≤slant x ≤slant 5 incremented in steps of 1.

Key in operation	Display
MODE 3	f(x) -
Alpha x X ^2 + 3 AlphaX X ^2 - 2 Alpha	f(x)=X^2+3X^22X
= 1 = 5 =□ +□

Input Range and Error Message

Calculation Precision, Input Range

Number of Digits for Internal Calculation	Up to 18 digits
Precision *	± at the 10th digit for a single calculation. ± at the least significant for exponential display
Calculation Range	± × 10^39 to ± 9.999999999 × 10^59 or 0

■ Function Calculation Input Ranges

Functions	Input Range
Sin x	DEG	0 ≤ |x| < 9 × 10^8
	RAD	0 ≤ |x| < 157 079 632.7
	GRA	0 ≤ |x| < 1 × 10^9
Cos x	DEG	0 ≤ |x| < 9 × 10^8
	RAD	0 ≤ |x| < 157 079 632.7
	GRA	0 ≤ |x| < 1 × 10^9
Tan x	DEG	Same as sinx , except when |x| = (2n-1) × 90
	RAD	Same as sinx , except when |x| = (2n-1) × n/2
	GRA	Same as sinx , except when |x| = (2n-1) × 100
Sin^-1x	0 ≤ |x| ≤ 1
Cos^-1x
tan^-1x	0 ≤ |x| ≤ 9.999 999 999 × 10^89
Sinh x	0 ≤ |x| ≤ 230 258 509 2
cosh x
Sinh^-1x	0 ≤ |x| ≤ 4.999 999 999 × 10^69
cosh^-1x	1 ≤ x ≤ 4.999 999 999 × 10^69
tanh x	0 ≤ |x| ≤ 9.999 999 999 × 10^89
tanh^-1x	0 ≤ |x| ≤ 9.999 999 999 × 10^-1
Log x/lnx	0 < x ≤ 9.999 999 999 × 10^69
10^x	-9.999 999 999 × 10^89 ≤ x ≤ 99.999 999 99
e^x	-9.999 999 999 × 10^89 ≤ x ≤ 230.258 509 2
v^x	0 ≤ x < 1 × 10^100
x^z	|x| < 1 × 10^50
x^a	|x| < 2.154 434 69 × 10^33
x^-1	|x| < 1 × 100^100, x 0
s_i/x	|x| < 1 × 10^100
X!	0 ≤ x ≤ 69(x is an integer)
nPr	0 ≤ n < 1 × 10^10, 0 ≤ r ≤ n(n, r are integers)
	1 ≤ /(n-r)\_i^1 < 1 × 10^100

nCr	0 ≤ n < 1 × 10^19,0 ≤ r ≤ n( n,r are integers)
	1 ≤ n!/r! < 1 × 10^100 or 1 ≤ n!/(n-r)! < 1 × 10^-109

Functions	Input Range
Pol (x, y)	|x|, |y| ≤ 9.999999999 × 10^99 ^2 + y^-2 ≤ 9.999999999 × 10^95
Rec(r, θ)	0 ≤ r ≤ 9.999999999 × 10^99 θ: Same as sin x
“ , ”	|a|, b, c < 1 × 10^100 0 ≤ b, c The display seconds value is subject to an error of +/- 1 at the second decimal place
◀ : ”	|x| < 1 × 10^100 Decimal Sexagesimal Conversions 0^0^ ≤ |x| ≤ 99999999^59^59^
X(x ^y)	x > 0; -1 × 10^100 < y x < 100 x = 0; y > 0 x < 0; y = n, m/(2n+1)(m, n are integers) However: -1 × 10^100 < y |x| < 100
x√y	y > 0; x 0, -1 × 10^100 < 1/x y < 100 y = 0; x > 0 y < 0; x = 2n+1,(2n+1)/m (m 0; m, n are integers) However: -1 × 10^100 < (1/x) |y| < 100
a b/c	Total of integer, numerator, and denominator must be 10 digits or less (including division marks).
I-Rand(a, b)	0 ≤ a < 1 × 10^6, 0 ≤ b < 1 × 10^-10 (a, b should be positive integers or 0)
Rand	Result generates a 3 digits pseudo random number (0.000~0.999)
LCM(x, y, z)	0 < x, y, z ≤ 9.99999999999 × 10^12 (positive integers) Default result when x, y, z=0
GCD(x, y, z)	0 < x, y, z ≤ 9.99999999999 × 10^12 (positive integers) Default result when x, y, z=0
I-Div (x, y)	0 < x, y ≤ 9.99999999999 × 10^2 (positive integers) 0 ≤ Q ≤ 999999999999, 0 ≤ r ≤ 999999999(Q, r are integers) Default result when x=0
Abs	|x| < 1 × 10^100
One-variableStatistical calculation	|x| < 1 × 10^100 |FREQ| < 1 × 10^100
Two-variableStatistical calculation	|x| < 1 × 10^100 |y| < 1 × 10^100 |FREQ| < 1 × 10^100

• Errors are cumulative in the case of consecutive calculations, this is also true as internal consecutive calculation are performed in the case of X (x y), 1 - 32 , x!, nPr, nCr, etc. And may become large.
  ■ Display of results using √

Calculation results may be displayed using in all of the following cases:

When intermediate and final calculation results are displayed in the following form:

$$ \pm \frac {a \sqrt {b}}{c} \pm \frac {d \sqrt {e}}{f} \begin{array}{l l} 0 \leq a < 1 0 0, & 1 \leq d < 1 0 0 \ b < 1 0 0 0, & 1 \leq e < 1 0 0 0 \ 1 \leq c < 1 0 0, & 1 \leq f < 1 0 0 \end{array} $$

When the number of terms in the intermediate and final calculation result is one or two.

Order of Operations

This calculator will automatically determine the operation priority of each individual command as follows:

1st Priority	Recall memory (A, B, C, D, E, F,0~9), Rand
2nd	Calculation within parentheses ( ) .
3rd	Function with parenthesis that request the input argument to the right Pol , Rec , sin , cos , tan , sin^1 , cos^-1 , tan^-1 , sinh , cosh , tanh , sinh^-1 , cosh^-1 , tanh^-1 , log , ln , e^ , 10^ , , ^3 , Abs(, ROUND _i -Rand(,
4th	Functions that come after the input value preceded by values, powers, power roots: X^2, x^3, x^1, x! , ^0 , ^ , r, g, ^ , ^x , Percent %, log■ , EXP
5th	Fractions: ■ _+ ■
6th	Prefix symbol: (-)(negative sign)
7th	Statistical estimated value calculation: §, §, §1, §2
8th	Multiplication where sign is omitted: Multiplication sign omitted immediately before π,e, variables (2π, 5A, πA, etc.), functions with parentheses( 2√(3), A sin (30), etc.)
9th	Permutations, combinations: nPr, nCr
10th	Multiplication and division: ×, ÷
11th	Addition and subtraction: +, -
12th	Calculation ending instruction: =, M+, M- STO (store memory)

In the same precedence level, calculations are performed from left to right.
■ Operation enclosed within parentheses is performed first. When a calculation contains an argument that is a negative number, the negative number must be enclosed within parentheses.

Example:

$$ - 3 ^ {2} = 9 $$

$$ (- 3) ^ {2} = 9 $$

■ When same priority commands are mixed into one calculation.

Example 1:

$$ 1 \div 2 \pi = 0. 1 5 9 1 5 4 9 4 3 1 $$

Example 2:

$$ 2 \rightarrow A $$

$$ 1 \div 2 A = \frac {1}{4} $$

Calculation Stacks

This calculator uses memory areas, called "stacks", to temporarily store numeric value (numbers) and commands (+, -, ×......) according to their precedence during calculations.
■ The numeric stack has 10 levels and command stack has 128 levels. A stack error [Stack ERROR] occurs whenever you try to perform a calculation that exceeds the capacity of stacks.
■ Calculations are performed in sequence according to "Order of Operations". After the calculation is performed, the stored stack values will be released.

Error Messages and Error Locator

The calculator is locked up while an error message is shown on the display to indicate the cause of the error.

■ Press CA to clear the error message, then return to the initial display of latest mode.
■ Press ◀ or ▶ to display input expression with the cursor positioned next to the error.
■ Press ON to clear the error message, clear the replay memory history and return to the initial display of the latest mode.

Error Message	Cause	Action
Math ERROR	The intermediate or final result is outside the allowable calculation range.An attempt to perform a calculation using a value that exceeds the allowable input range.An attempt to perform an illogical operation (division by zero, etc.).	Check the input values and make sure they are all within the allowable ranges, Pay special attention to values in any using memory areas.
Stack ERROR	The capacity of the numeric stack or operator stack is exceeded.	Simplify the calculation.Divide the calculation into two or more separate parts.
Syntax ERROR	An attempt to perform an illegal mathematical operation.	Pressordisplay the cursor at the location of the error, make appropriate corrections.
Insufficient MEM	The calculation result of Function Table mode parameters caused more than 30 x-values to be generated for a table.	Narrow the table calculation range by changing the start, end, and step values, and try again.

Battery Replacement

When the display characters are dim and the contrast cannot be adjusted further, turn the calculator off and replace the battery immediately. Please replace the battery using the following procedures.

1. Press Shift OFF to power off the calculator.
2. Remove the screw that securely fixes the battery cover in place.
3. Remove battery cover.
4. Remove the old battery with ball point pen or similar sharp object.
5. Load the new battery with positive "+" side facing up.
6. Replace the battery cover, screw, and press ON, Shift CLR 3 = CA to initialize the calculator.

Caution: Risk of explosion if battery is replaced by an incorrect type. Dispose of used battery at your local collection point.

■ Electromagnetic interference or electrostatic discharge may cause the display to malfunction or the contents of the memory to be lost or altered. When this occurs, press ON, shift CLR 3 = CA to restart the calculator.

Specifications

Power Supply: LR44*1 (1.5V)

Power Consumption: 0.0015 W

Battery Life: 3 years

Auto power off: 5-9 minutes

Usable Temperature: 0-40°C

Size: L153*W80*H14 mm

Weight: 86g (hard cover is not included)

Producer

Aurora Electronics (UK) LTD.

Unit 1 & 2 Shires Industrial Estate

Lichfield, Staffordshire, WS14 9AZ, U.K.