B(A+C) + AB+BC

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Build a circuit for the following boolean expression. If you did this problem, please dont do it again. Thanks

 

The expression depicted in the image is a Boolean algebra expression and is written as follows:

\[ B(\overline{A + C}) + \overline{A}B + B\overline{C} \]

### Explanation:

1. **B(\overline{A + C})**: This term consists of the variable \(B\) ANDed with the negation of the OR operation between \(A\) and \(C\).
   
2. **\overline{A}B**: This term involves the negation of \(A\) ANDed with \(B\).

3. **B\overline{C}**: This term involves \(B\) ANDed with the negation of \(C\).

Boolean algebra is a branch of algebra where the values of the variables are true and false, usually denoted 1 and 0, respectively. In the expression above, various logical operations like AND, OR, and NOT are used to form logical expressions.
Transcribed Image Text:The expression depicted in the image is a Boolean algebra expression and is written as follows: \[ B(\overline{A + C}) + \overline{A}B + B\overline{C} \] ### Explanation: 1. **B(\overline{A + C})**: This term consists of the variable \(B\) ANDed with the negation of the OR operation between \(A\) and \(C\). 2. **\overline{A}B**: This term involves the negation of \(A\) ANDed with \(B\). 3. **B\overline{C}**: This term involves \(B\) ANDed with the negation of \(C\). Boolean algebra is a branch of algebra where the values of the variables are true and false, usually denoted 1 and 0, respectively. In the expression above, various logical operations like AND, OR, and NOT are used to form logical expressions.
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