Which of the following is equivalent of the Boolean expression given below? A…
2020
Which of the following is equivalent of the Boolean expression given below?
A + Ā.B + A.B̅
- A.
A + B
- B.
A + B̅
- C.
B + Ā
- D.
B̅ + Ā
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Correct answer: A
The correct option is A: A + B. Using the redundancy law (A + ĀB = A + B), the first two terms simplify to A + B. Adding the third term gives (A + B) + AB̅. Applying the distributive law, A(1 + B̅) + B = A + B.