Question:
The resultant logic gate of the combination of logic gates given in the circuit is:
The resultant logic gate of the combination of logic gates given in the circuit is:
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NOR and NAND are universal gates. Any logic circuit can be implemented using only one of these gate types.
Updated On: Jun 18, 2026
- AND
- NOR
- NAND
- OR
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The Correct Option is B
Solution and Explanation
Concept:
A NOR gate performs the operation
\[
Y=\overline{A+B}.
\]
To determine the equivalent gate, the given circuit is simplified using Boolean algebra and truth tables.
Step 1: Write the Boolean expression of each stage.
Combine the outputs of the intermediate gates according to the circuit.
Step 2: Apply Boolean identities.
Using \[ A+\overline{A}=1, \] \[ A\cdot1=A, \] \[ \overline{\overline{A}}=A, \] the expression simplifies.
Step 3: Obtain final expression.
The final output becomes \[ Y=\overline{A+B}. \] This is exactly the NOR operation. Therefore, \[ \boxed{\text{NOR}} \]
Step 1: Write the Boolean expression of each stage.
Combine the outputs of the intermediate gates according to the circuit.
Step 2: Apply Boolean identities.
Using \[ A+\overline{A}=1, \] \[ A\cdot1=A, \] \[ \overline{\overline{A}}=A, \] the expression simplifies.
Step 3: Obtain final expression.
The final output becomes \[ Y=\overline{A+B}. \] This is exactly the NOR operation. Therefore, \[ \boxed{\text{NOR}} \]
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