Datexx 6518206 User Manual

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6518206
OWNER’S MANUAL
Please read before using
BIG Display 12 - Digit
Scientific Calculator
with
Fractional and Statistical
Functions
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Contents
Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2
Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4
Keys . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5
Mode Select Keys . . . . . . . . . . . . . . . . . . .5
Display Mode Keys . . . . . . . . . . . . . . . . . .6
Display Range . . . . . . . . . . . . . . . . . . . . . . . . . .6
Decimal Point . . . . . . . . . . . . . . . . . . . . . . . . . .6
Basic Functions . . . . . . . . . . . . . . . . . . . . . . . . .7
Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7
Mixed Fractions . . . . . . . . . . . . . . . . . . . . .8
Memory Keys . . . . . . . . . . . . . . . . . . . . . . . . . .9
Statistical keys . . . . . . . . . . . . . . . . . . . . . . . .11
Logical calculation keys . . . . . . . . . . . . . . . . .11
Display Indicators . . . . . . . . . . . . . . . . . . . . . .11
Calculation priority . . . . . . . . . . . . . . . . .14
Calculation range . . . . . . . . . . . . . . . . . . .14
Statistical calculations . . . . . . . . . . . . . . . . . . .14
Entering Statistical data . . . . . . . . . . . . . .15
Making corrections . . . . . . . . . . . . . . . . .15
Output of Statistical Calculation Results .15
Performing Logical Calculations . . . . . . . . . . .16
Errors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . .19
Trigonometric Functions . . . . . . . . . . . . .20
Statistical Calculations . . . . . . . . . . . . . . .21
Applications and examples . . . . . . . . . . . . . . .22
Business . . . . . . . . . . . . . . . . . . . . . . . . . .22
PHYSICS . . . . . . . . . . . . . . . . . . . . . . . .22
Civil Engineering . . . . . . . . . . . . . . . . . . .23
Electronics . . . . . . . . . . . . . . . . . . . . . . . .24
Amplifier Gain . . . . . . . . . . . . . . . . . . . . .24
REPLACING THE BATTERY . . . . . . . . . . . .25
CARE AND MAINTENANCE . . . . . . . . . . . .26
Warranty . . . . . . . . . . . . . . . .27
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FEATURES
Large 10 + 2 Digit Display Calculates Mixed and Improper
Fractions Up to 15 levels of Parenthesis Binary / Octal / Decimal /
Hexadecimal Calculation Modes Common and Natural Logarithms Advanced Statistical Functions Boolean Logic calculations Auto Power off saves batteries Battery powered Protective Case Folding stand for best viewing
angle
Keys ON: Turns the power ON and resets the calculator. The
power turns off automatically after a few minutes if no key is pressed. The memory is not reset when ON is pressed.
OFF: Press to turn OFF the calculator. C/CE: Press to delete a number in the display, Press
twice to clear the current calculation.
EXP: Exponent key. Press to enter exponents
Ex. 40X10 Press 4 0 EXP 22 (40 ) is displayed
+/– Changes the sign of the displayed mantissa and
exponents
> Backspace Key : Clears the last digit from the display
and shifts the other digits to the right.
Mode Select Keys INV: Press to perform the function above the keys. MODE: Press to select the calculation mode.
Then press 1 – 5 to select the Mode:
Display Mode Keys
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Press Mode Displayed
1 Decimal DEG 2 Binary BIN 3 Octal OCT 4 Hexadecimal HEX 5 Statistical SD DEG
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4
5
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Display Mode Keys
FLO – SCI – ENG Press to select the display mode.
FLOATING: Floating Point Ex. 123456 SCI: Scientific Exponential Ex. 1.2345606 ENG: Engineering Exponential Ex. 123.45604
Basic Functions +, –, x, ÷ keys
Press keys as written for basic functions.
% key
Press for percentage calculations, Add-on and discounts.
Display Range
-99
–> 10
10
100
-99
–> 10
100
Floating Point : 10 -9–> 10 Scientific: 10 Engineering Exponential 10 Mantissa: Less than 100
Decimal Point
Press MODE, then press DRG to set in DEG mode.
Press INV and press FIX then a number from 0 to 9 to set the number of numbers to the right of the decimal point. Press INV and press FIX then . (decimal point) to reset the Decimal point location.
DRG: Degree/Radian/Gradient Mode Key.
Press to change the angle units.
DRG> : Angle Conversion key .
Used with INV key to convert angle values to different units.
GRAD
200
= 180 degrees = Pi
6
RAD
(…) Open/Close parenthesis keys
Press for up to 6 levels of parenthesis when performing complex calculations.
Up to 15 consecutive open parenthesis may be used at one time.
Notes:Open and close parenthesis must be used together, If only one is used, the calculation will be incorrect.
Fractions
Accepts fractions and calculates with both mixed and improper fractions. Answers are given in mixed fractions.
ab/c Fraction key: Press to enter fractions as shown:
Improper fractions A/B:
Numerator ab/c Denominator Ex. 6 ab/c 7 = 6/7 <<6_| 7>> is displayed Up to 6 digits may be used for the numerator, 3 dig­its for the denominator.
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Mixed Fractions
Memory Keys
Enter: Integer ab/c Numerator ab/c Denominator Ex. 4 ab/c 6 ab/c 7 = 4 6/7
4_ 6_| 7 is displayed
Up to 3 digits may be used for the Integer, numerator or denominator up to a total of 8 digits.
Press ab/c to change the displayed number from a fraction to a decimal number.
d/c Mixed/improper fraction key
Press to convert mixed fractions to improper frac­tions:
Press Displayed
10 ab/c 3 10 _| 3 INV d/c = 3 _ 1 _| 3 INV d/c 10 _| 3
X<–>Y key. Press to reverse the operand and the operator
for multiplication and division.
123 x 456 ÷ 789 INV X<–>Y =
(0.01406718)
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M+ Press to add the displayed number to the inde-
pendent memory
Min Press to store the displayed number in the inde-
pendent memory
MR Press to recall the number in memory. X–>M Display/Independent Memory Exchange key.
Press to exchange the displayed number with the contents of the independent memory and vice versa.
Binary/Octal/Hexadecimal keys
Enter numbers with the following keys:
Binary Keys 0 – 1 Octal keys 0 – 7
Hexadecimal keys 0–9,A,B,C,D,E,F Remember to first press: MODE 2 for Binary, MODE 3 for Octal, MODE 4 for Hexadecimal.
NEG key: Press to change to the complement in
Binary/Octal or Hexadecimal modes. Press again to change the complement back to the original value.
BINARY – MODE 2 Press 101010 NEG 1111010110. is displayed
Octal – MODE 3 Press 123456 NEG 7777654322. is displayed
Hexadecimal – MODE 4 Press 789 A B C NEG FFFF876544. is displayed
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Function Keys
ARCHYP – ArcHyperbolic key HYP – Hyperbolic key sin - Sine key cos - Cosine key tan - Tangent key In - Natural Logarithm key
x
e
- Exponential function key
2
x
- Square key
–1
sin
–1
cos
–1
tan log - Common Logarithm key 10x - Common exponential key
- Square Root key
1/x - Reciprocal key DMS – DEG
Sexadecimal -> Decimal conversion key
R–>P, P–>R
Rectangular->Polar Coordinate key
y
x
- Raise to power key
π - Pi key
3- Cubic Root key
1/y
x - Multiple root key n! - Factorial key
- Arc Sine key
- Arc Cosine key
- Arc Tangent key
Statistical keys
Variable Entry (DATA)
Variable Correction (DEL) key
Sx key
n key
n
s
key
n-1
s
key
Sx2key
x + key
Logical calculation keys
Used for Logical calculations in Binary, Octal and Hexadecimal modes
AND OR
XOR XNOR NOT
Display Indicators
The following indicators will appear when the respective function is selected
Display Mode
INV Inv HYP Hyperbolic BIN Binary Mode OCT Octal Mode HEX Hexadecimal mode
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Display Mode
SD Statistical mode DEG Degree Mode RAD Radian mode GRAD Gradient mode ( ) Calculation in Parenthesis
Calculations modes Mode Decimal Binary Octal
+, -, x, ÷ 6 levels 6 levels 6 levels ( ) 15 levels 15 levels 15 levels Constant y y y Percentage y n n Fractions y n n Memory y n n Functions
1 variable y n n
2 variable y n n Raise to Power y n n Statistical y y y Logical y n n Complement (NEG) n y y +/– y n n Display (FLO, SCI, ENG) y n n Decimal (Fix) y n n Angle y n n Reverse y y y
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Mode Hexadecimal Statistical
+, -, x, ÷ 6 levels 3 levels ( ) y y Constant y y Percentage n y Fractions n n Memory y y Function
1 variable function n y
2 variable function n y Raise to Power n n Statistical n y Logical y n Complement (NEG) y n +/– n y Display
(FLO, SCI, ENG) n y Decimal (Fix) n y Angle n y Reverse y y
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Calculation priority
Calculation priority is automatically determined by the calculator. Algebraic expressions are entered as they would be written. Single variable functions and calculations in parenthesis have a higher priority than basic func­tions like +, -, x, ÷. During calculations lower priority calculations are stored in the stack memory and processed in turn. Six levels of calculations may be stored in stack memory.
Entering Statistical data
Ex. 1: 2 DATA 3 DATA 4 DATA Ex. 2: 125 LOG DATA 100 LOG DATA Ex. 3: (123 M+ MR DATA)
Making corrections C/CE clears the last digit pressed.
INV DEL deletes the last DATA entered.
Calculation range
A maximum of 9 digits in the mantissa or 10 digits plus 2 digits for exponent may be entered. If a result is too large to display, an Error indicator appears. This applies for Decimal/Octal/Hexadecimal modes.
Statistical calculations
Press MODE 5 to enter Statistical Mode. This clears all function commands and all registers except the memory. The results of statistical calculations are stopped in the statistical calculation memory. As a result, you can perform statistical calculations again by exiting to another mode and then resetting the calculator for statistical calculation mode.
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Output of Statistical Calculation Results
Output Operation
Arithmetic mean INV x+ Standard Deviation of sample INV s Standard Deviation population parameter INV s
Variance of Sample INV s Variance of Population INV s
Sum of data INV Sx Sum of Squares of data INV Sx
n-1
n-1x2
nx2
n
2
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Performing Logical Calculations
Logical Calculations are performed with Boolean Algebra. Variables in logical calculations have only two values, True and False. Truth is represented by a “1” and False is represented by a “0”.
For Octal or Hexadecimal calculations, the values are converted to Octal or Hexadecimal.
Truth Tables
AND INPUT OUTPUT
A B X
1 1 1 1 0 0
0 1 0 0 0 0
Type of logical calculations and truth tables
AND: Product of propositions
Produces 1 when all input values are 1.
OR Sum of propositions
Produces 1 when one or more input values are 1.
XOR Exclusive Sum of propositions
Produces 0 when all input values are either 1 or 0. (Other cases acts as an OR)
XNOR Exclusive sum of propositions
Combination of XOR and NOT
NOT Negation
Produces the opposite value of the Input.
Examples:
1100 AND 1010 = (1000.)
1100 OR 1010 = (1110.)
1100 XOR 1010 = (110)
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OR INPUT OUTPUT
A B X
1 1 1 1 0 1
0 1 1 0 0 0
XOR, XNOR INPUT OUTPUT
A B X OR X NOR
1 1 0 1 1 0 1 0
0 1 1 0 0 0 0 1
NOT INPUT OUTPUT
A X
1 0 0 1
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Errors
The calculator will overflow if::
• Calculation or contents of the memory are outside the range of 1 x 10
• When dividing by 0.
• When data exceeds the range of any function or statis­tical data
• In Statistical calculation mode, if s with only one data
• When finding x,snand s
• When the number of calculation nesting levels exceeds 3 in statistical mode
• When more than 15 open parenthesis are used at one time.
In these cases the calculator stops and displays E. Press C/CE to resume.
–99
to 9.999999999 x 10
n-1
when n=0.
–99
n-1
is calculated
Examples
Constant Calculations
EX. 4 + 5 = 5 + 5 = 6 + 5 = Press 4 + 5 = 5 = 6 =
Binary
MODE 2 10101011 + 1100 + 1110 = 11000101
Octal
MODE 3 654 + 321 = 1175 741 – 357 = 362
Hexadecimal
MODE 4 AAA + bb + C = b71 dEF - EFE = FFFFFFFEF1 FEDC x A9 = A83F3C
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Binary/Octal/Hexadecimal mode calculations may be mixed.
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Trigonometric Functions
Press Displayed Sin53º [Mode][DRG] DEG 53 sin (0.79863551) Tan 65grad[Mode][DRG] GRAD 65 tan (1.631851687) Cos22 [Mode][DRG] RAD 22 cos (-0.999960826)
Inverse Trigonometric Functions Sin–10.3 [DEG] . 3 INV sin-1 (17.45760312˚) Cos-10.8 [DEG] . 8 INV cos-1 (36.86989765˚)
Logarithmic Functions Log 123= 1 2 3 log (2.089905111) In 123= 1 2 3 In (4.812184355)
Exponential calculations e22= 2 2 INV e
2.3
10
= 2 . 3 INV 10
Reciprocal Calculations
1 2x3+4 = 0.1 2 x 3 + 4 = 1/x (0.1)
Factorial Calculation
(4x2–3) ! = 120 4 x 2 – 3 = INV n! (120)
Trigonometric Calculations Cosec x = 1
Sin x
[DEG] 4 5 sin 1/x (1.414213562)
x
x
(3584912846)
(199.5262315)
Hyperbolic Calculations Cosh34 =
3 4 HYP cos (2.917308713 x 1014)
Inverse Hyperbolic Calculations Sinh-1 1.5 x 1025= 58.66323961 1 . 5 EXP 2 5 INV HYP sin
(58.66323961)
Statistical Calculations
DATA Enters statistical data
Displays Sum of the data
n Displays the number of data
n-1
s
Displays the Standard deviation
sample
Displays the Square sum of the data Displays the Mean value of the data
Displays the Standard deviation
population parameter
Note: In scientific mode the results may be dis­played in the form of exponent
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APPLICATIONS AND EXAMPLES
BUSINESS
Calculate the future value of a $1000 investment compounded annually at a rate of 6% for 7 years.
FV = p (1+i)
= 1000 (1+0.06) = 1503.63
Press Display
1 [+] 0.06 [=] [xy] 7[=] 1.503630259 [×] 1000 [=] 1503.630259
PHYSICS
If a ball is thrown upward with a velocity of 75 feet per second, what is its velocity at the end of 1.6 sec-
onds (g=32.2 ft/sec2)? Velocity: V = Vo – gt
= 75 – (32.2 × 1.6)
= 23.48 ft/sec.
Height: S = Vot – 1/2 gt
= (75 × 1.6) – (1/2 x 32.2 × (1.6)2) = 78.784 ft.
Press Display
75 [–] 32.2 [×] 1.6 [=] 23.48 75 [×] 1.6 [–] 2[1/x] [×] 0.5
32.2 [×] 1.6 [x2] [=] 78.784
n
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CIVIL ENGINEERING
In this right triangle,A = 5.7 feet and a = 30 degrees. Determine the value of C.
sin a = A / C sin 30 degrees = 5.7 / C C = 5.7 / sin 30 degrees C = 5.7 / .5 C = 11.4
Mode Press Display
DEG 5.7 [÷] 5.7
30 [sin] .5 [=] 11.4
In this right triangle, A = 6 feet and C = 15 feet. Determine the values of a, b and B.
sin a = A / C sin a = 6 / 15 = 0.4
sin–1.4 = 23.58
a = 23.58 degrees b = 90 – 23.58 = 66.42 degrees
cos a = B / C cos 23.58 = B / 15 B = cos 23.58 × 15
B = .9165 × 15 = 13.7475 feet
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Mode Press Display
DEG 0 [INV][x<–>m] 0
6 [] 6 15 [=] 0.4 [INV] [sin
– 1
] 23.57817848 [Min] M 23.57817848 90 [–] [MR] [=] M 66.42182152 0 [INV][x<–>m]23.57817848
23.58 [cos] 0.916502421 [¥] 15 [=] 13.74753633
ELECTRONICS
AMPLIFIER GAIN
Vi = 1mV V0 = 3V
Calculate the value of Av
Voltage gain Av = 20 log Vo/Vi
= 20 log
= 69.54242509 dB
Press Display
3 [] [EXP] 3 [+/–] 1. –03
[=] [log] [¥] 3.477121255
20 [=] 69.54242509
3
1 ¥ 10
–3
REPLACING THE BATTERY
If the calculator slows down when using the battery, the battery is weak and should be replaced.
1. Remove the 6 screws on the bottom panel and remove the panel.
2. Remove the old batteries.
3. Insert the new batteries (Radio Shack type RS-389 Cat. No. 23-101) following the polarity of the old battery.
4. Replace the bottom panel and replace the screws.
Replacement Batteries
Radio
Shack Eveready Maxell
389A 189 LR1130
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CARE AND MAINTENANCE
This scientific calculator is a carefully designed and crafted electronic device. With the proper care, you can enjoy it for years.
• Keep the calculator dry and away from liquids. If it gets wet, dry it immediately with a soft cloth.If water enters the calculator, wait for the water to evaporate before using the calculator.
• Store the calculator in moderate tempera­tures. Excessive heat or cold can damage the calculator.
• Do not drop or strike the calculator. A hard knock can damage circuit boards or the dis­play.
• Keep the unit in its protective case when not in use. Clean the calculator case only with a soft damp cloth. Do not use harsh chemicals, cleaning solvents or detergents.
Attempting to modify or tamper with the calcula­tor’s internal components can cause a malfunc­tion and invalidate the warranty. If the calculator is not functioning properly, return it to Datexx for assistance.
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6518206
PRINTED IN CHINA 02/01
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