Question:
For two inputs A and B and output Y, the Boolean expression for NOR gate is
For two inputs A and B and output Y, the Boolean expression for NOR gate is
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A NOR gate is an OR gate followed by a NOT gate.
Updated On: Nov 12, 2026
- \(Y=\overline{A\cdot B}\)
- \(Y=A\cdot \overline{B}\)
- \(Y=\overline{A+B}\)
- \(Y=\overline{A}+B\)
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept
A NOR gate is an OR gate whose output is inverted by a NOT gate.
Step 2: Build the Expression
The OR gate gives \(A+B\). Inverting it gives \(Y=\overline{A+B}\).
Step 3: Check with the Truth Table
The output is 1 only when both \(A\) and \(B\) are 0, and 0 in every other case. This matches NOR.
Final Answer:
The Boolean expression for NOR is \(Y=\overline{A+B}\). \[ \boxed{\text{(C) }Y=\overline{A+B}} \]
A NOR gate is an OR gate whose output is inverted by a NOT gate.
Step 2: Build the Expression
The OR gate gives \(A+B\). Inverting it gives \(Y=\overline{A+B}\).
Step 3: Check with the Truth Table
The output is 1 only when both \(A\) and \(B\) are 0, and 0 in every other case. This matches NOR.
Final Answer:
The Boolean expression for NOR is \(Y=\overline{A+B}\). \[ \boxed{\text{(C) }Y=\overline{A+B}} \]
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