Binary to Gray converter
In the circuit we will convert BINARY numbers to GRAY numbers. The truth table for it is as follows:
|
0.
|
B3
0
|
B2
0
|
B1
0
|
B0
0
|
G3
0
|
G2
0
|
G1
0
|
G0
0
|
|
1.
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
1
|
|
2.
|
0
|
0
|
1
|
0
|
0
|
0
|
1
|
1
|
|
3.
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
0
|
|
4.
|
0
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
|
5.
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
|
6.
|
0
|
1
|
1
|
1
|
0
|
1
|
0
|
0
|
|
8.
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
|
9.
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
|
10.
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
1
|
|
11.
|
1
|
0
|
1
|
1
|
1
|
1
|
1
|
0
|
|
12.
|
1
|
1
|
0
|
0
|
1
|
0
|
1
|
0
|
|
13.
|
1
|
1
|
0
|
1
|
1
|
0
|
1
|
1
|
|
14.
|
1
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
|
15.
|
1
|
1
|
1
|
1
|
1
|
0
|
0
|
0
|
K-MAPS:
K-MAP FOR G3:
Equation for G3= B3
K-MAP FOR G2:
Equation for G2= B3' B2 + B3 B2'= B3 XOR B2
K-MAP FOR G1:
Equation for G1= B1' B2 + B1 B2'= B1 XOR B2
K-MAP FOR G0:
Equation for G0= B1' B0 + B1 B0'= B1 XOR B0
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