The output of a two input AND gate is one, only when its

Options

A. either input is one
B. either input is zero
C. both inputs are one
D. both inputs are zero

Answer

To solve the question regarding the output of a two-input AND gate, we will follow these steps:

### Step 1: Understand the Function of an AND Gate
An AND gate is a digital logic gate that outputs true or high (1) only when all its inputs are true or high (1).

### Step 2: Define the Inputs
For a two-input AND gate, we have two inputs, which we will denote as A and B.

### Step 3: Write the Boolean Expression
The output Y of a two-input AND gate can be expressed using the Boolean expression:
\[ Y = A \cdot B \]
This means that Y will be 1 only when both A and B are 1.

### Step 4: Create a Truth Table
To analyze the behavior of the AND gate, we can create a truth table:

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

### Step 5: Analyze the Truth Table
From the truth table, we can see that:
- When both inputs A and B are 0, the output Y is 0.
- When A is 0 and B is 1, the output Y is 0.
- When A is 1 and B is 0, the output Y is 0.
- When both A and B are 1, the output Y is 1.

### Step 6: Conclusion
The output of a two-input AND gate is 1 only when both inputs are 1. Therefore, the correct answer to the question is:
**Both inputs are 1.**

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