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State Demorgen’s laws. Prove anyone with truth table method. |
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Answer» Demorgan’s first theorem states that (A + B)’ = A’ . B’ ie. the complement of sum of two variables equals product of their complements, The second theorem states that (A . B)’ = A’ + B’ ie. The complement of the product of two variables equals the sum of the complement of that variables. Proof: Truth table of first one is as follows:
From the truth table the columns of both (A + B)’ and A’ . B’ are identical. Hence proved. |
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