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Design the circuit for Y= A+BC+AB+ABC

Design the circuit for Y= A+BC+AB+ABC

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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**Design the Circuit for Boolean Expression:** Y = A + BC + AB + ABC In designing a digital logic circuit for this Boolean expression, the following steps are typically involved: 1. **Identify Variables and Terms:** - The expression consists of three variables: A, B, and C. - It includes the terms: A, BC, AB, and ABC. 2. **Construct Logic Gates:** - Use an OR gate to combine the output of all terms. - Implement each term using AND gates. - Term A can be directly connected since it is a single variable. - Term BC requires an AND gate with inputs B and C. - Term AB requires an AND gate with inputs A and B. - Term ABC requires an AND gate with inputs A, B, and C. 3. **Connect the Gates:** - Connect the output of each AND gate (representing terms BC, AB, and ABC) and the single variable A directly to the inputs of an OR gate. - The final output of the OR gate is Y. This design will ensure that the circuit fulfills the Boolean expression by outputting Y when any of the conditions (A, BC, AB, ABC) are met.
Transcribed Image Text:**Design the Circuit for Boolean Expression:** Y = A + BC + AB + ABC In designing a digital logic circuit for this Boolean expression, the following steps are typically involved: 1. **Identify Variables and Terms:** - The expression consists of three variables: A, B, and C. - It includes the terms: A, BC, AB, and ABC. 2. **Construct Logic Gates:** - Use an OR gate to combine the output of all terms. - Implement each term using AND gates. - Term A can be directly connected since it is a single variable. - Term BC requires an AND gate with inputs B and C. - Term AB requires an AND gate with inputs A and B. - Term ABC requires an AND gate with inputs A, B, and C. 3. **Connect the Gates:** - Connect the output of each AND gate (representing terms BC, AB, and ABC) and the single variable A directly to the inputs of an OR gate. - The final output of the OR gate is Y. This design will ensure that the circuit fulfills the Boolean expression by outputting Y when any of the conditions (A, BC, AB, ABC) are met.
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