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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Let A’ represent complement of A. Which of the following boolean expressions is/are true?
(A) A +AB=A
(B) (A+B)'= A'B'
(C) (A')'= A
(D) (AB)'= A'+B'
Choose the correct answer from the options given below:
Solution
Solution:
(A) \(A + AB = A(1 + B) = A \cdot 1 = A\) (Absorption law) ✅
(B) \((A + B)' = A'B'\) (De Morgan’s law: complement of sum is product of complements) ✅
(C) \((A')' = A\) (Double complement law) ✅
(D) \((AB)' = A' + B'\) (De Morgan’s law: complement of product is sum of complements) ✅
Final Answer: All are true — (A), (B), (C), (D).
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