Topic: Logic gates (OR, AND, NOT, NAND, NOR)· Electronic Devices

The output (Y) of the given logic implementation is similar to the output of an/a ________ gate.

logic circuit: inputs A,B,A; OR-bubble gate (NOR) and NAND-type bubble gate feeding an AND gate giving Y

1. AND

2. NAND

3. OR

4. NOR

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Answer: 4. NOR

Key idea: write the output of each gate in Boolean form and simplify.

The upper gate is a NOR gate with inputs A and B: $\overline{A+B}$. The lower gate is a NAND gate with inputs B and A: $\overline{AB}$. Their outputs go to an AND gate:

$$Y=\overline{A+B}\cdot\overline{AB}=(\bar A\bar B)(\bar A+\bar B)=\bar A\bar B$$

(because $\bar A\bar B\cdot\bar A=\bar A\bar B$ and $\bar A\bar B\cdot\bar B=\bar A\bar B$). Since $\bar A\bar B=\overline{A+B}$, the circuit behaves as a NOR gate.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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The output (Y) of the given logic implementation is similar to the output of an/a ________ gate.

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