An XOR gate produces an output only when its two inputs are :-

Options

A. same
B. different
C. low
D. high

Answer

To determine when an XOR gate produces an output, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the XOR Gate**:
The XOR (exclusive OR) gate is a digital logic gate that outputs true or high (1) only when the number of true inputs is odd. For two inputs, this means it outputs true when the inputs are different.

2. **Boolean Expression**:
The Boolean expression for an XOR gate with inputs A and B is given by:
\[ Y = A \oplus B = (A \bar{B}) + (\bar{A} B) \]
This means the output Y is true if A is true and B is false, or A is false and B is true.

3. **Truth Table Construction**:
We will create a truth table to analyze the output for all combinations of inputs A and B:
- Inputs: (A, B)
- Possible combinations: (0, 0), (0, 1), (1, 0), (1, 1)

| A | B | Y (Output) |
|---|---|------------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

4. **Analyzing the Truth Table**:
From the truth table, we can see:
- When both inputs are the same (0, 0) or (1, 1), the output Y is 0.
- When the inputs are different (0, 1) or (1, 0), the output Y is 1.

5. **Conclusion**:
Therefore, the XOR gate produces an output only when its two inputs are different.

### Final Answer:
The XOR gate produces an output only when its two inputs are **different**.

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