A two-input NAND gate is followed by a single-input NOR gate. This logic circuit will function as :-

Options

A. an AND gate
B. an OR gate
C. a NOT gate
D. a NOR gate

Answer

To solve the problem, we need to analyze the logic circuit consisting of a two-input NAND gate followed by a single-input NOR gate.

### Step-by-Step Solution:

1. **Understanding the NAND Gate:**
- A NAND gate gives a low output (0) only when both of its inputs are high (1). The truth table for a two-input NAND gate is as follows:
| A | B | NAND Output |
|---|---|-------------|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

2. **Connecting to the NOR Gate:**
- The output of the NAND gate will be fed into a single-input NOR gate. A single-input NOR gate behaves like a NOT gate followed by an OR gate. The truth table for a single-input NOR gate is:
| Input | NOR Output |
|-------|-------------|
| 0 | 1 |
| 1 | 0 |

3. **Combining the Outputs:**
- We need to determine the final output of the circuit by combining the outputs from the NAND gate and the NOR gate.
- Let's denote the inputs to the NAND gate as A and B. The output of the NAND gate will be denoted as \( Y \).
- The output \( Y \) will then be the input to the NOR gate. Thus, the output of the NOR gate will be \( \text{NOR}(Y) \).

4. **Creating the Truth Table for the Entire Circuit:**
- We can create a truth table for the entire circuit by combining the outputs of the NAND gate and the NOR gate:
| A | B | NAND Output (Y) | NOR Output |
|---|---|------------------|------------|
| 0 | 0 | 1 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |

5. **Analyzing the Final Output:**
- From the truth table, we can see that the final output behaves as follows:
- When both inputs are 0 or when one input is 1, the output is 0.
- When both inputs are 1, the output is 1.
- This output corresponds to the behavior of a NOR gate.

6. **Conclusion:**
- Therefore, the logic circuit consisting of a two-input NAND gate followed by a single-input NOR gate functions as a NOR gate.

### Final Answer:
The logic circuit will function as a **NOR gate**.