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(AB) + AB +AC

(AB) + AB +AC

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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The image contains a Boolean expression written as: \[ \overline{(AB)} + \overline{A}B + \overline{T}AC \] Explanation: 1. **\(\overline{(AB)}\)**: This represents the NOT operation applied to the AND operation between A and B. It signifies that the output is true when both A and B are not simultaneously true. 2. **\(\overline{A}B\)**: This is the AND operation between the NOT of A and B. This term is true if A is false and B is true. 3. **\(\overline{T}AC\)**: This seems to contain a typo with \(\overline{T}\). Assuming T should be an A or another variable, it represents the AND operation between the NOT of the new variable and the AND of A and C. This term is true if the new variable is false, A is true, and C is true. In Boolean algebra, operations are often simplified to minimize logic gates in digital circuits. Each operator represents an electronic switch in computing systems and simplifying such expressions helps in reducing computational complexity.
Transcribed Image Text:The image contains a Boolean expression written as: \[ \overline{(AB)} + \overline{A}B + \overline{T}AC \] Explanation: 1. **\(\overline{(AB)}\)**: This represents the NOT operation applied to the AND operation between A and B. It signifies that the output is true when both A and B are not simultaneously true. 2. **\(\overline{A}B\)**: This is the AND operation between the NOT of A and B. This term is true if A is false and B is true. 3. **\(\overline{T}AC\)**: This seems to contain a typo with \(\overline{T}\). Assuming T should be an A or another variable, it represents the AND operation between the NOT of the new variable and the AND of A and C. This term is true if the new variable is false, A is true, and C is true. In Boolean algebra, operations are often simplified to minimize logic gates in digital circuits. Each operator represents an electronic switch in computing systems and simplifying such expressions helps in reducing computational complexity.
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