The value of A.`barA` in Boolean algebra is -

Options

A. A) 0
B. B) 1
C. C) A
D. D) `barA`

Answer

To solve the question regarding the value of A.`barA` in Boolean algebra, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Variables**:
- Let A be a Boolean variable that can take values 0 or 1.
- The complement of A, denoted as `barA` or A', is defined as follows:
- If A = 0, then `barA` = 1
- If A = 1, then `barA` = 0

2. **Setting Up the Expression**:
- We need to evaluate the expression A.`barA`, which is the logical AND operation between A and its complement `barA`.

3. **Evaluating the Expression for Both Values of A**:
- **Case 1**: If A = 0
- Then `barA` = 1
- So, A.`barA` = 0.1 = 0
- **Case 2**: If A = 1
- Then `barA` = 0
- So, A.`barA` = 1.0 = 0

4. **Conclusion**:
- In both cases (whether A is 0 or 1), the result of A.`barA` is always 0.
- Therefore, the value of A.`barA` in Boolean algebra is 0.

### Final Answer:
The value of A.`barA` in Boolean algebra is **0**.