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JEE Main 2025 (3 Apr, Shift 1) · Logic Gates

Logic Gates question from JEE Main 2025 (3 Apr, Shift 1)

Q45JEE Main 2025 · 3 APR · SHIFT 1Medium

Logic Gates

Choose the correct logic circuit for the given truth table having inputs A and B.

Figure

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Answer: (a)

  1. From the table, Y=1Y = 1 exactly when A=1A = 1, so Y=AY = A.
  2. (a): Y=A(A+B)=AY = A(A + B) = A, matches.
  3. (b): Aˉ(A+B)=AˉB\bar{A}(A+B) = \bar{A}B; (c): A A+B‾=0A\,\overline{A+B} = 0; (d): B(A+B)=BB(A+B) = B. None match.
  4. So the answer is (a).
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