Using Boolean logic, verify using truth table that X + XY = X for each X, Y in {0,1}
Answer:
Truth table for all possible combination of values of X,Y:
|
X |
Y |
XY |
X+XY |
|
0 |
0 |
0 |
0 |
|
0 |
1 |
0 |
0 |
|
1 |
0 |
0 |
1 |
|
1 |
1 |
1 |
1 |
The values of column X and column X+XY match.
Hence, the expression X+XY = X is verified.