Name the law shown below & verify it using a truth table.
Answer:
X + X’.Y = X + Y
The law in the given boolean expression is distributive law.
Truth Table:
|
X |
Y |
X’ |
X’.Y |
X+X’Y |
X+Y |
|
0 |
0 |
1 |
0 |
0 |
0 |
|
0 |
1 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
0 |
1 |
1 |
|
1 |
1 |
0 |
0 |
1 |
1 |
The values of column X+X’Y and column X+Y match.
Hence, the expression X + X’.Y = X + Y is verified.