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Prove the complementarity law of boolean algebra with the help of truth table? |
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Answer» (a) X + X’ = 1 To prove this law, we will make a following truth table :
0 + 1 = 1 and 1 + 0 = 1 From truth table it is prove that X + X’ = 1 (b) X . X’= 0 To prove this law, we will make a following truth table :
0 . 1 = 0 and 1 . 0 = 0 From truth table it is prove that X + X’ = 1 From truth table it is prove that X . X’= 0 |
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