Question

For given logic gate circuit, an equivalent gate will be

• A. OR gate
• B. AND gate
• C. NAND gate
• D. NOR gate

Hint:

In digital circuits, simplifying combinations of basic gates like AND, OR, and NAND can lead to identifying equivalent gate configurations.

Answer 1

The Correct Option is B

Step 1: Analyze the given circuit.
The circuit shown in the image consists of: - Two NAND gates,
- One OR gate.
We can simplify the logic by following these steps: - The first part of the circuit involves a NAND gate with inputs \( A \) and \( B \), which will give the output \( \overline{A \cdot B} \).
- The second NAND gate, which takes the output from the first gate and connects it to another input, simplifies the result further.
- The final gate is an OR gate, which results in the overall logic.

Step 2: Determine the equivalent gate.
After simplifying the combination of the NAND and OR gates in the circuit, we find that the overall output matches the behavior of an AND gate.
Step 3: Conclusion.
Therefore, the given logic gate circuit is equivalent to an AND gate. Final Answer: AND gate