Q. Prove the complementarity law of boolean algebra with the help of a truth table.
Answer :-
(i) Truth Table for X + X' = 1
X | X’ | X + X’ |
---|---|---|
0 | 1 | 1 |
1 | 0 | 1 |
(ii)Truth Table for X.X' = 0
X | X’ | X.X’ |
---|---|---|
0 | 1 | 0 |
1 | 0 | 0 |
X | X’ | X + X’ |
---|---|---|
0 | 1 | 1 |
1 | 0 | 1 |
X | X’ | X.X’ |
---|---|---|
0 | 1 | 0 |
1 | 0 | 0 |
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