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turn expression into logic circuit using gates

turn expression into logic circuit using gates

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question

turn expression into logic circuit using gates

The expression shown in the image is a Boolean algebra equation: C' (A' + AB') + AB This expression utilizes fundamental operations in Boolean algebra, including complementation, conjunction (AND), and disjunction (OR). Here's a breakdown of the components: - **C'**: The complement or NOT operation applied to C. - **A'**: The complement or NOT operation applied to A. - **AB'**: The conjunction (AND operation) applied to A and the complement of B. - **A' + AB'**: The disjunction (OR operation) between A' and AB'. - **C'(A' + AB')**: The conjunction of the complement of C with the result of the OR operation. - **+ AB**: The disjunction of the previous result with the conjunction of A and B. In educational contexts, this expression might be simplified using Boolean algebra rules to reduce the logic circuit or the algebraic equation involved.
Transcribed Image Text:The expression shown in the image is a Boolean algebra equation: C' (A' + AB') + AB This expression utilizes fundamental operations in Boolean algebra, including complementation, conjunction (AND), and disjunction (OR). Here's a breakdown of the components: - **C'**: The complement or NOT operation applied to C. - **A'**: The complement or NOT operation applied to A. - **AB'**: The conjunction (AND operation) applied to A and the complement of B. - **A' + AB'**: The disjunction (OR operation) between A' and AB'. - **C'(A' + AB')**: The conjunction of the complement of C with the result of the OR operation. - **+ AB**: The disjunction of the previous result with the conjunction of A and B. In educational contexts, this expression might be simplified using Boolean algebra rules to reduce the logic circuit or the algebraic equation involved.
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It is given that:

F=C'A'+AB'+AB

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