Among the following one gives output 1 in the AND gate

Options

A. `A=0,B=0`
B. `A=1,B=1`
C. `A=1,B=0`
D. `A=0,B=1`

Answer

To determine which option gives an output of 1 in an AND gate, we need to understand how an AND gate operates. The AND gate outputs a high signal (1) only when both of its inputs are high (1).

### Step-by-Step Solution:

1. **Understand the AND Gate Logic**:
- The output of an AND gate is given by the expression:
\[ Y = A \cdot B \]
- Here, \( A \) and \( B \) are the inputs, and \( Y \) is the output.

2. **Identify Input Combinations**:
- The possible input combinations for two inputs (A and B) are:
- (0, 0) → Output: 0
- (0, 1) → Output: 0
- (1, 0) → Output: 0
- (1, 1) → Output: 1

3. **Evaluate Each Option**:
- We need to evaluate each option provided in the question to see which one results in an output of 1.
- Let's denote the options as:
- Option 1: (0, 0)
- Option 2: (1, 1)
- Option 3: (1, 0)
- Option 4: (0, 1)

4. **Calculate the Output for Each Option**:
- **Option 1: (0, 0)**
- Output: \( 0 \cdot 0 = 0 \)
- **Option 2: (1, 1)**
- Output: \( 1 \cdot 1 = 1 \)
- **Option 3: (1, 0)**
- Output: \( 1 \cdot 0 = 0 \)
- **Option 4: (0, 1)**
- Output: \( 0 \cdot 1 = 0 \)

5. **Determine the Correct Option**:
- From the calculations, we see that only **Option 2** gives an output of 1.

### Final Answer:
The option that gives an output of 1 in the AND gate is **Option 2: (1, 1)**.