Datexx DS-700-30Xa Calculator User Manual

OWNER’S MANUAL
DS-700-30Xa
Please read before using
BIG Display 12 - Digit
Scientific Calculator
with
Fractional and Statistical
Functions
Contents
Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2
Type of logical calculations and truth tables . .16
Features
Errors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4
Keys . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5
Examples
. . . . . . . . . . . . . . . . . . . . . . . . . . . .19
Mode Select Keys . . . . . . . . . . . . . . . . . . .5
Trigonometric Functions
. . . . . . . . . . . . .20
Display Mode Keys . . . . . . . . . . . . . . . . . .6
Statistical Calculations . . . . . . . . . . . . . . .21
Display Range . . . . . . . . . . . . . . . . . . . . . . . . . .6
Applications and examples . . . . . . . . . . . . . . .22
Decimal Point . . . . . . . . . . . . . . . . . . . . . . . . . .6
Business . . . . . . . . . . . . . . . . . . . . . . . . . .22
Basic Functions . . . . . . . . . . . . . . . . . . . . . . . . .7
PHYSICS
Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7
Civil Engineering . . . . . . . . . . . . . . . . . . .23
Mixed Fractions . . . . . . . . . . . . . . . . . . . . .8
Electronics . . . . . . . . . . . . . . . . . . . . . . . .24
Memory Keys . . . . . . . . . . . . . . . . . . . . . . . . . .9
Amplifier Gain . . . . . . . . . . . . . . . . . . . . .24
Statistical keys
. . . . . . . . . . . . . . . . . . . . . . . .22
. . . . . . . . . . . . . . . . . . . . . . . .11
REPLACING THE BATTERY . . . . . . . . . . . .25
Logical calculation keys . . . . . . . . . . . . . . . . .11
CARE AND MAINTENANCE . . . . . . . . . . . .26
Display Indicators . . . . . . . . . . . . . . . . . . . . . .11
Datexx Limited Warranty
. . . . . . . . . . . . . . . .27
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
2
© 2001 Teledex
All Rights Reserved.
Datexx is a trademark of Teledex Inc.
WWW.DATEXX.COM
3
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
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 22 Press 4 0 EXP 22 (40 22 ) 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.
Advanced Statistical Functions
Boolean Logic calculations
Mode Select Keys
INV: Press to perform the function above the keys.
Auto Power off saves batteries
Battery powered
MODE: Press to select the calculation mode.
Then press 1 – 5 to select the Mode:
Press
Protective Case
Folding stand for best viewing
angle
Mode
Displayed
1
Decimal
DEG
2
Binary
BIN
3
Octal
OCT
4
Hexadecimal
HEX
5
Statistical
SD DEG
Display Mode Keys
4
5
Display Mode Keys
Basic Functions
FLO – SCI – ENG Press to select the display mode.
+, –, x, ÷ keys
Press keys as written for basic functions.
FLOATING: Floating Point
Ex. 123456
SCI: Scientific Exponential
Ex. 1.2345606
ENG: Engineering Exponential
Ex. 123.45604
Display Range
Floating Point :
10 -9 –> 1010
Scientific:
10 -99 –> 10 100
Engineering
Exponential 10 -99 –> 10 100
Mantissa:
Less than 100
% key
Press for percentage calculations, Add-on and discounts.
(…) 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.
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.
Fractions
DRG: Degree/Radian/Gradient Mode Key.
ab/c Fraction key: Press to enter fractions as shown:
Accepts fractions and calculates with both mixed and
improper fractions. Answers are given in mixed fractions.
Press to change the angle units.
DRG> : Angle Conversion key.
Used with INV key to convert angle values to
different units.
200GRAD= 180 degrees = Pi RAD
6
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.
7
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
M+
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)
Press to add the displayed number to the independent memory
Min
Press to store the displayed number in the independent 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
8
FFFF876544. is displayed
9
Function Keys
ARCHYP – ArcHyperbolic key
HYP – Hyperbolic key
sin - Sine key
cos - Cosine key
tan - Tangent key
In - Natural Logarithm key
ex - Exponential function key
x2 - Square key
sin–1 - Arc Sine key
cos–1 - Arc Cosine key
tan–1 - Arc Tangent key
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
xy - Raise to power key
π - Pi key
3√ - Cubic Root key
x1/y - Multiple root key
n! - Factorial key
10
Statistical keys
Variable Entry (DATA)
Variable Correction (DEL) key
Sx key
n key
sn key
s n-1 key
Sx2 key
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
HYP
BIN
OCT
HEX
Inv
Hyperbolic
Binary Mode
Octal Mode
Hexadecimal mode
11
Display
Mode
SD
DEG
RAD
GRAD
( )
Statistical mode
Degree Mode
Radian mode
Gradient mode
Calculation in Parenthesis
Calculations modes
Mode
Decimal
+, -, x, ÷
6 levels
( )
15 levels
Constant
y
Percentage
y
Fractions
y
Memory
y
Functions
1 variable
y
2 variable
y
Raise to Power
y
Statistical
y
Logical
y
Complement (NEG) n
+/–
y
Display
(FLO, SCI, ENG)
y
Decimal (Fix)
y
Angle
y
Reverse
y
12
Binary
Octal
6 levels 6 levels
15 levels 15 levels
y
y
n
n
n
n
n
n
n
n
n
y
n
y
n
n
n
n
y
n
y
n
n
n
n
y
n
n
n
y
Mode
Hexadecimal
+, -, x, ÷
6 levels
( )
y
Constant
y
Percentage
n
Fractions
n
Memory
y
Function
1 variable function
n
2 variable function
n
Raise to Power
n
Statistical
n
Logical
y
Complement (NEG)
y
+/–
n
Display
(FLO, SCI, ENG)
n
Decimal (Fix)
n
Angle
n
Reverse
y
Statistical
3 levels
y
y
y
n
y
y
y
n
y
n
n
y
y
y
y
y
13
Calculation priority
Entering Statistical data
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.
Ex. 1: 2 DATA
3 DATA
4 DATA
Ex. 2: 125 LOG DATA
100 LOG DATA
Ex. 3: (123 M+ MR DATA)
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.
14
Making corrections
C/CE clears the last digit pressed.
INV DEL deletes the last DATA entered.
Output of Statistical Calculation Results
Output
Arithmetic mean
Standard Deviation of sample
Standard Deviation population parameter
Variance of Sample
Variance of Population
Sum of data
Sum of Squares of data
Operation
INV
x+
INV sn-1
sn
INV sn-1 x2
INV sn x2
INV Sx
INV Sx2
INV
15
Performing Logical Calculations
Truth Tables
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”.
AND
For Octal or Hexadecimal calculations,
the values are converted to Octal or Hexadecimal.
Type of logical calculations and truth tables
A
INPUT
B
1
1
0
1
0
1
1
0
0
0
0
0
OR
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.
OUTPUT
X
INPUT
OUTPUT
A
1
1
0
B
1
0
1
X
1
1
1
0
0
0
XOR
Exclusive Sum of propositions
Produces 0 when all input values are either 1 or 0. (Other
cases acts as an OR)
XOR, XNOR
XNOR Exclusive sum of propositions
Combination of XOR and NOT
NOT Negation
Produces the opposite value of the Input.
Examples:
NOT
OUTPUT
A
1
1
0
B
1
0
1
X OR X NOR
0
1
1
0
1
0
0
0
INPUT
0
1
OUTPUT
1100 AND 1010 =
(1000.)
1100
OR 1010 =
(1110.)
A
1
X
0
XOR 1010 =
(110)
0
1
1100
16
INPUT
17
Errors
Examples
The calculator will overflow if::
Constant Calculations
• Calculation or contents of the memory are outside the
range of 1 x 10
–99
to 9.999999999 x 10
EX. 4 + 5 = 5 + 5 = 6 + 5 =
–99
Press 4 + 5 =
5=
6=
• When dividing by 0.
• When data exceeds the range of any function or statistical data
Binary
MODE 2
10101011 + 1100 + 1110 = 11000101
• In Statistical calculation mode, if sn-1 is calculated
with only one data
• When finding x,sn and sn-1 when n=0.
• When the number of calculation nesting levels exceeds
3 in statistical mode
Octal
MODE 3
654 + 321 = 1175
741 – 357 = 362
• When more than 15 open parenthesis are used at one
time.
Hexadecimal
In these cases the calculator stops and displays E. Press
C/CE to resume.
MODE 4
AAA + bb + C = b71
dEF - EFE = FFFFFFFEF1
FEDC x A9 = A83F3C
Binary/Octal/Hexadecimal mode calculations may be
mixed.
18
19
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–1 0.3 [DEG] . 3 INV sin-1
Cos-1 0.8 [DEG] . 8 INV cos-1
Logarithmic Functions
Log 123= 1 2 3 log
In 123= 1 2 3 In
Exponential calculations
e22 =
2 2 INV e x
2.3
10 =
2 . 3 INV 10 x
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)
(17.45760312˚)
(36.86989765˚)
(2.089905111)
(4.812184355)
Statistical Calculations
DATA
Enters statistical data
n
Displays the number of data
s n-1
Displays the Standard deviation
Displays Sum of the data
(3584912846)
(199.5262315)
sample
Reciprocal Calculations
1
2x3+4 = 0.1 2 x 3 + 4 = 1/x
(0.1)
Displays the Square sum of the data
Displays the Mean value of the data
Factorial Calculation
(4x2–3) ! = 120 4 x 2 – 3 = INV n!
(120)
Displays the Standard deviation
(1.414213562)
Note: In scientific mode the results may be displayed in the form of exponent
Trigonometric Calculations
Cosec x =
1
Sin x
[DEG] 4 5 sin 1/x
20
population parameter
21
CIVIL ENGINEERING
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)n
=
=
1000 (1+0.06)7
1503.63
Press
Display
1 [+] 0.06 [=] [xy] 7[=]
[×] 1000 [=]
1.503630259
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 seconds (g=32.2 ft/sec2)?
Velocity:
Height:
V = Vo – gt
= 75 – (32.2 × 1.6)
= 23.48 ft/sec.
S = Vot – 1/2 gt 2
= (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 [x 2] [=]
78.784
22
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
DEG
Press
5.7 [÷]
30 [sin]
[=]
Display
5.7
.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
23
Mode
DEG
Press
Display
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
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.
ELECTRONICS
AMPLIFIER GAIN
Vi = 1mV
V0 = 3V
Calculate the value of Av
Voltage gain Av = 20 log Vo/Vi
3
= 20 log
1 × 10–3
= 69.54242509 dB
Press
Display
3 [÷] [EXP] 3 [+/–]
1. –03
[=] [log] [×]
3.477121255
20 [=]
69.54242509
24
Replacement Batteries
Radio
Shack
389A
Eveready
189
Maxell
LR1130
25
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.
26
Datexx Limited Warranty
This product is warranted against defects for 1 year from
date of purchase. Within this period, we will replace or
repair it, at our option, without charge for parts and labor,
with the exception of accessories such as batteries, wallets,
etc.
Return the defective unit with proof of purchase and a
check or money order for $5.00 (to cover postage, insurance and handling) to Teledex Service Center, 1 Atlas
St., Kenilworth, NJ, 07033.
This warranty does not cover products subjected to misuse,
accidental damage, or repair by other than TELEDEX. In
no event shall TELEDEX be liable for consequential economic damage or damage to property.
Except as provided herein, DATEXX makes no express
warranties and any implied warranties are limited in duration to the written limited warranties contained herein.
Some states do not permit limitation or exclusion of implied
warranties; therefore, the aforesaid limitation(s) or exclusion(s) may not apply to the purchaser.
This warranty gives you specific legal rights and you may
also have other rights which vary from state to state.
27
.
DS-700-30Xa
©2001 Datexx - A Division of Teledex Inc.
www.datexx.com
PRINTED IN CHINA
02/01