You are here
Verify the following using Truth Table: X + Y. Z = (X + Y). (X + Z)
Answer:
To prove:
X + Y. Z = (X + Y). (X + Z)
|
X |
Y |
Z |
Y.Z |
X+Y.Z |
X+Y |
X+Z |
(X+Y).(X+Z) |
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
|
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
|
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
|
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
|
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
Hence, the expression X + Y. Z = (X + Y). (X + Z) is verified.
