Answer:
The sum of a variable and its complement is 1 and their product is 0 — A+A'=1 and A.A'=0. The theorem states that A'.B' is the complement of A+B. To prove, it must satisfy:
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Answer:
The sum of a variable and its complement is 1 and their product is 0 — A+A'=1 and A.A'=0. The theorem states that A'.B' is the complement of A+B. To prove, it must satisfy:
(A + B)(A' . B') = 0 and
(A + B) + (A' . B') = 1
Consider the first case:
(A + B)(A' . B') = 0
Second Case:
(A + B) + (A' . B') = 1