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A B C D + BD + ABD + BD

A B C D + BD + ABD + BD

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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Using Boolean Algebra laws, rules, and theorems, simplify the expressions below. Please use a whiteboard!

 

The expression in the image is a Boolean algebra expression shown below: \[\overline{A}BCD + BD + A\overline{B}D + \overline{B}D\] ### Explanation: The expression features multiple terms that are combined using the OR (+) operation. Each term consists of variables that can either be in their normal form (e.g., \(A, B, C, D\)) or in their complemented form (e.g., \(\overline{A}, \overline{B}\)). - **\(\overline{A}BCD\):** This term contains the complemented variable \(\overline{A}\) along with \(B, C, D\). - **\(BD\):** This term includes variables \(B\) and \(D\). - **\(A\overline{B}D\):** This term includes \(A, D\) and the complemented variable \(\overline{B}\). - **\(\overline{B}D\):** This term consists of the complemented variable \(\overline{B}\) and \(D\). This kind of expression is often used in digital logic design, circuit simplification, and can be minimized using Boolean algebra rules or Karnaugh maps.
Transcribed Image Text:The expression in the image is a Boolean algebra expression shown below: \[\overline{A}BCD + BD + A\overline{B}D + \overline{B}D\] ### Explanation: The expression features multiple terms that are combined using the OR (+) operation. Each term consists of variables that can either be in their normal form (e.g., \(A, B, C, D\)) or in their complemented form (e.g., \(\overline{A}, \overline{B}\)). - **\(\overline{A}BCD\):** This term contains the complemented variable \(\overline{A}\) along with \(B, C, D\). - **\(BD\):** This term includes variables \(B\) and \(D\). - **\(A\overline{B}D\):** This term includes \(A, D\) and the complemented variable \(\overline{B}\). - **\(\overline{B}D\):** This term consists of the complemented variable \(\overline{B}\) and \(D\). This kind of expression is often used in digital logic design, circuit simplification, and can be minimized using Boolean algebra rules or Karnaugh maps.
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