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braw the logic circuit for each of the following Boolean expressions: Y = (A+B)(C+D) Y = A + BC +D

braw the logic circuit for each of the following Boolean expressions: Y = (A+B)(C+D) Y = A + BC +D

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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**Title: Drawing Logic Circuits for Boolean Expressions** **Introduction:** In digital electronics, understanding how to convert Boolean expressions into logic circuits is essential. Here, we will explore how to draw logic circuits for specific Boolean expressions. **Boolean Expressions:** 1. **Expression 1:** \( Y = (A + \overline{B})(C + D) \) 2. **Expression 2:** \( Y = A + BC + D \) **Instructions:** For each expression, we'll break down the operations and guide you on how to construct the logic circuit: - **Expression 1 Breakdown:** - **Operation 1:** Calculate \( \overline{B} \) using a NOT gate. - **Operation 2:** Perform \( A + \overline{B} \) using an OR gate. - **Operation 3:** Perform \( C + D \) using another OR gate. - **Operation 4:** Combine the results of operations 2 and 3 using an AND gate to get the final output \( Y \). - **Expression 2 Breakdown:** - **Operation 1:** Calculate \( BC \) using an AND gate. - **Operation 2:** Combine \( A \), the result of operation 1 \( BC \), and \( D \) using an OR gate to produce \( Y \). **Conclusion:** By following these steps, you can successfully draw the logic circuits for the given Boolean expressions. Practicing with various expressions will enhance your ability to design complex digital systems.
Transcribed Image Text:**Title: Drawing Logic Circuits for Boolean Expressions** **Introduction:** In digital electronics, understanding how to convert Boolean expressions into logic circuits is essential. Here, we will explore how to draw logic circuits for specific Boolean expressions. **Boolean Expressions:** 1. **Expression 1:** \( Y = (A + \overline{B})(C + D) \) 2. **Expression 2:** \( Y = A + BC + D \) **Instructions:** For each expression, we'll break down the operations and guide you on how to construct the logic circuit: - **Expression 1 Breakdown:** - **Operation 1:** Calculate \( \overline{B} \) using a NOT gate. - **Operation 2:** Perform \( A + \overline{B} \) using an OR gate. - **Operation 3:** Perform \( C + D \) using another OR gate. - **Operation 4:** Combine the results of operations 2 and 3 using an AND gate to get the final output \( Y \). - **Expression 2 Breakdown:** - **Operation 1:** Calculate \( BC \) using an AND gate. - **Operation 2:** Combine \( A \), the result of operation 1 \( BC \), and \( D \) using an OR gate to produce \( Y \). **Conclusion:** By following these steps, you can successfully draw the logic circuits for the given Boolean expressions. Practicing with various expressions will enhance your ability to design complex digital systems.
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The logic circuit for the given expression can be obtained by using the basic gates. The basic gates are AND,OR,NOT.

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