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JEE Main 2026 · 6 Apr · Shift 2, Physics question 43

Refer to the logic circuit given below. For two inputs (A=1A=1, B=1B=1) and (A=0A=0, B=1B=1), output (Y) will be ________.

A passes through a NOT gate. The NOT output and B feed an OR gate; the NOT output and B also feed an AND gate. The OR and AND outputs feed a NOR gate whose output is Y.
Choose one option
Answer and worked solution

Official answer: C

Circuit. Y=(Aˉ+B)+AˉB‾=Aˉ+B‾Y=\overline{(\bar A+B)+\bar AB}=\overline{\bar A+B}.

  • A=1,B=1A=1,B=1: Aˉ+B=1\bar A+B=1, so Y=0Y=0.
  • A=0,B=1A=0,B=1: Aˉ+B=1\bar A+B=1, so Y=0Y=0.

(C)