Question:

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

Updated On: Apr 12, 2026
  • \(1,0\) respectively
  • \(0,1\) respectively
  • \(0,0\) respectively
  • \(1,1\) respectively
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The Correct Option is B

Solution and Explanation

Concept: The circuit contains:
  • NOT gate
  • OR gate
  • AND gate
  • Final NOR gate
Output of the final gate: \[ Y=\overline{(\text{OR output})+(\text{AND output})} \] Step 1: {Case 1: \(A=1, B=1\)} NOT output: \[ \overline{A}=0 \] OR gate: \[ A + \overline{A} = 1 \] AND gate: \[ A\cdot B = 1 \] Final NOR: \[ Y=\overline{1+1}=\overline{1}=0 \] Step 2: {Case 2: \(A=0, B=1\)} NOT output: \[ \overline{A}=1 \] OR gate: \[ 0+1=1 \] AND gate: \[ 0\cdot1=0 \] Final NOR: \[ Y=\overline{1+0}=\overline{1}=1 \] Thus outputs are \[ 0,1 \]
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