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If A = 1 and B = 0, then in terms of Boo...

If A = 1 and B = 0, then in terms of Boolean algebra , `A + bar(B) =` .

A

B

B

`bar(B).B`

C

A

D

`barA`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will use the principles of Boolean algebra. ### Step-by-Step Solution: 1. **Identify the given values:** - We have \( A = 1 \) and \( B = 0 \). 2. **Find the complement of B:** - The complement of \( B \) (denoted as \( \bar{B} \) or \( B' \)) is calculated as follows: \[ \bar{B} = 1 - B = 1 - 0 = 1 \] 3. **Substitute the values into the expression:** - We need to evaluate \( A + \bar{B} \): \[ A + \bar{B} = 1 + 1 \] 4. **Apply the rules of Boolean algebra:** - In Boolean algebra, \( 1 + 1 = 1 \). Therefore: \[ A + \bar{B} = 1 \] 5. **Conclusion:** - The expression \( A + \bar{B} \) evaluates to \( 1 \). ### Final Answer: Thus, \( A + \bar{B} = 1 \).
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