Which expression represents De Morgan's Law for the complement of a product?
2025
Which expression represents De Morgan's Law for the complement of a product?
- A.
(A + B)' = A' · B'
- B.
(A · B)' = A' + B'
- C.
(A · B)' = A' + B
- D.
(A · B)' = A + B'
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Correct answer: B
For the complement of a product, De Morgan's Law is:
(A · B)' = A' + B'
This means NOT (A AND B) is equivalent to (NOT A) OR (NOT B).
The related De Morgan identity for the complement of a sum is:
(A + B)' = A' · B'
That identity is true, but it is not the product-complement form asked in this question.
Correct option: B