DB06
Code Conversion Binary to Gray
Gray to Binary
Operating Manual
Ver.1.1
An ISO 9001 : 2000 company
94-101, Electronic Complex Pardesipura,
Indore- 452010, India
Tel : 91-731- 2570301/02, 4211100
Fax: 91- 731- 2555643
e mail : info@scientech.bz
Website : www.scientech.bz
Toll free : 1800-103-5050
DB06
Scientech Technologies Pvt. Ltd.
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DB06
Code Conversion Binary to gray Gray to Binary
DB06
Table of Contents
1.
Introduction
4
2.
Theory
5
3.
Experiment
To study and verify the code conversion circuits.
Binary to Gray Code
Gray to Binary Code
7
4.
Data Sheet
10
5.
Warranty
11
6.
List of Accessories
11
RoHS Compliance
Scientech Products are RoHS Complied.
RoHS Directive concerns with the restrictive use of Hazardous substances (Pb,
Cd, Cr, Hg, Br compounds) in electric and electronic equipments.
Scientech products are “Lead Free” and “Environment Friendly”.
It is mandatory that service engineers use lead free solder wire and use the
soldering irons upto (25 W) that reach a temperature of 450°C at the tip as the
melting temperature of the unleaded solder is higher than the leaded solder.
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DB06
Introduction
DB06 is a compact, ready to use Code Conversion (binary to gray & gray to Binary)
experiment board. This experiment board has been designed to study code converters
used for translating from code to code. It can be used as stand alone unit with external
power supply or can be used with Scientech Digital Lab ST2611 which has built in
power supply, pulse generator, pulser switches, 8 bits data switches, logic probe,
digital display, 8 bits LED display.
List of boards :
Model
Name
DB01
Logic Gates
DB02
Universal Gate- NAND/NOR
DB03
EX-OR Gate Implementation
DB04
Demorgan's Theorem
DB05
EX-OR Gate Application
DB07
Code Conversion (BCD to Excess-3 code)
DB08
Binary Adder -Subtractor
DB09
Encoder – Decoder
DB10
Multiplexer – Demultiplexer
DB11
Flip-Flops (R-S, D, J-K, T)
DB12
Shift Register (4 bit SIPO)
DB13
4 Bit Synchronous Binary Counter
DB16
Digital to Analog Converter (R-2R ladder)
DB15
BCD to 7- Segment Decoder
DB17
3 Digit Event Counter
DB21
Fiber Optic Digital Link
DB22
Analog to digital converter (Counter Type)
DB27
Digital to Analog Converter (R-2R ladder)
DB28
Monostable Multivibrator
DB29
CMOS and Crystal Oscillator
DB30
Adder/ Subtracter (4-Bit/8-Bit)
DB31
Decoder/Demultiplexer
DB32
Modulo-N programmable counter
DB35
4 BIT Shift Register
………and many more
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DB06
Theory
The availability of a large variety of codes for the same discrete elements of
information results in the use of different codes by different digital system. It is
sometimes necessary to use the output of one system as the input to another. A
conversion circuit must be inserted between the two systems if each uses different
codes for the same information. Thus, a code converter is a circuit that makes the two
systems compatible even though each uses a different binary code.
The binary number system is a system that uses only the digits 0 & 1 as codes. To
represent a group of 2 n distinct element in a binary code requires a minimum of n bits.
This is because it is possible to arrange n bits in 2n distinct ways. Although the
minimum number of bits required to code 2n distinct quantities is n, there is no
maximum number of bits that may be used for binary code. For example, a group of
four distinct quantities can be represented by a two bit code, with each quantity
assigned one of the following bit combinations: 00, 01, 10, and 11. A group of eight
elements requires a three bit code, with each element assigned to one and only one of
the following 000, 001, 010, 011, 100, 101, 110, and 111. (Refer table 1).
Gray code (reflected code) is shown in Table 1. Number in the gray code changes by
only one bit as it proceeds from one number to the next. For example in going from
decimal 7 to 8, the gray code number changes from 0100 to 1100; these number differ
only in MSB. So it is with the entire gray code; every number differs by only one bit
from the preceding number. The logic diagram for binary code to gray code converter
and gray code to binary code converter is shown in fig. 1 and fig. 2.
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DB06
Decimal
0
1
2
3
4
5
6
7
8
9
Gray
Code
0000
0001
0011
0010
0110
0111
0101
0100
1100
1101
Binary
0000
0001
0010
0011
0100
0101
0110
0111
1000
1001
Table. 1
The logic equations for
Binary to gray code conversion
G0 = B0 ⊕ B1
G1 = B1 ⊕ B2
G2 = B2 ⊕ B3
G3 = B3
Gray to binary code conversion
B0 = G3 ⊕ G2 ⊕ G1 ⊕ G0
B1 = G3 ⊕ G2 ⊕ G1
B2 = G3 ⊕ G2
B3 = G3
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DB06
Experiment
Objective :
To study and verify the code conversion circuits.
1.
Binary to Gray Code
2.
Gray to Binary Code
Apparatus required :
1.
Digital board DB06.
2.
DC Power Supply +5 V from external source or ST2611 Digital lab.
3.
Digital Multimeter or Digital Lab ST2611.
Logic diagram & Truth Table :
(Logic 1 = +5V & Logic 0= GND)
Binary to Gray Code
Gray to Binary Code
Fig. 1&2
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DB06
Decimal
B3
B2
B1
B0
Decimal
G3
G2
G1
G1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
1
2
0
0
1
0
2
0
0
1
1
3
0
0
1
1
3
0
0
1
0
4
0
1
0
0
4
0
1
1
0
5
0
1
0
1
5
0
1
1
1
6
0
1
1
0
6
0
1
0
1
7
0
1
1
1
7
0
1
0
0
8
1
0
0
0
8
1
1
0
0
9
1
0
0
1
9
1
1
0
1
10
1
0
1
0
10
1
1
1
1
11
1
0
1
1
11
1
1
1
0
12
1
1
0
0
12
1
0
1
0
13
1
1
0
1
13
1
0
1
1
14
1
1
1
0
14
1
0
0
1
15
1
1
1
1
15
1
0
0
0
Binary Code Gray Code
Table. 1&2
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DB06
Procedure :
1.
Connect +5 V and ground to their indicated position on DB06 experiment board
from external DC power supply or from DC power block of Digital Lab
ST2611.
2.
Connect inputs B0, B1, B2, B3 as per truth table 2 to binary to gray code
converter as shown in fig.1.
3.
Switch ON the power supply.
4.
Observe output G0, G1, G2, G3 on multimeter or on LED Display of Digital
Lab ST2611.
5.
Repeat above step for remaining inputs and prove truth table.
6.
Repeat above steps for gray to binary code converter and prove truth
table.(Refer fig. 2 & table 3)
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DB06
Datasheet
Quad 2- Input Exclusive-OR
Gate 54LS/74S136
Pinout diagram
(Pin 14 = Vcc = + 5 V)
Function Table
H = High voltage level
L = Low voltage level
Note : Pull up resistance of 1 k is required in open collector ICs to get output.
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DB06
Warranty
1.
We guarantee the product against all manufacturing defects for 24 months from
the date of sale by us or through our dealers. Consumables like dry cell etc. are
not covered under warranty.
2.
The guarantee will become void, if
a)
The product is not operated as per the instruction given in the operating
manual.
b)
The agreed payment terms and other conditions of sale are not followed.
c)
The customer resells the instrument to another party.
d)
Any attempt is made to service and modify the instrument.
3.
The non-working of the product is to be communicated to us immediately giving
full details of the complaints and defects noticed specifically mentioning the
type, serial number of the product and date of purchase etc.
4.
The repair work will be carried out, provided the product is dispatched securely
packed and insured. The transportation charges shall be borne by the customer.
For any Technical Problem Please Contact us at service@scientech.bz
List of Accessories
1.
2mm patch cord. (Red) 16” ......................................1 No.
2.
2mm patch cord (Black) 16” ....................................1 No.
3.
2mm patch cord (Blue) 16”.................................... 8 Nos.
4.
e-Manual .................................................................1 No.
Updated 18-05-2009
Scientech Technologies Pvt. Ltd.
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