JEE Physics · Hard

Semiconductors: Boolean Algebra MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Boolean AlgebraHardQuestion 20255

Question

Simplify: Y = AB + AB̄
  1. A
    A
    Correct
  2. B
    B
  3. C
    AB
  4. D
    A+B

Correct answer

A

Explanation

Y = AB + AB̄ = A(B + B̄) = A·1 = A. This is the Boolean absorption/factoring identity. Useful in reducing the complexity of logic circuits.