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Given the truth table below, simplify the following Boolean functions F1 and F2 to a minimum number of literals: A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 F₁ 1 1 1 1 1 0 0 0 F₂ 0 0 0 0 0 1 1 1 1. Using Boolean Algebra, what is the simplified Boolean expression of F2? (ex. F1 = ABC) 2. Draw the logic diagram of the original Boolean expression F1 using 3-input AND gates, 5-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F1 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F1, 1 gate for simplified F1) 3. Draw the logic diagram of the original Boolean expression F2 using 3-input AND gates, 3-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F2 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F2, 1 gate for simplified F2)

Given the truth table below, simplify the following Boolean functions F1 and F2 to a minimum number of literals: A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 F₁ 1 1 1 1 1 0 0 0 F₂ 0 0 0 0 0 1 1 1 1. Using Boolean Algebra, what is the simplified Boolean expression of F2? (ex. F1 = ABC) 2. Draw the logic diagram of the original Boolean expression F1 using 3-input AND gates, 5-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F1 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F1, 1 gate for simplified F1) 3. Draw the logic diagram of the original Boolean expression F2 using 3-input AND gates, 3-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F2 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F2, 1 gate for simplified F2)

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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Given the truth table below, simplify the following Boolean functions F1 and F2 to a minimum number of literals: A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 F₁ 1 1 1 1 1 0 0 0 F₂ N 0 0 0 0 0 1 1 1 1. Using Boolean Algebra, what is the simplified Boolean expression of F2? (ex. F1 = ABC) 2. Draw the logic diagram of the original Boolean expression F1 using 3-input AND gates, 5-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F1 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F1, 1 gate for simplified F1) 3. Draw the logic diagram of the original Boolean expression F2 using 3-input AND gates, 3-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F2 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F2, 1 gate for simplified F2)
Transcribed Image Text:Given the truth table below, simplify the following Boolean functions F1 and F2 to a minimum number of literals: A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 F₁ 1 1 1 1 1 0 0 0 F₂ N 0 0 0 0 0 1 1 1 1. Using Boolean Algebra, what is the simplified Boolean expression of F2? (ex. F1 = ABC) 2. Draw the logic diagram of the original Boolean expression F1 using 3-input AND gates, 5-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F1 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F1, 1 gate for simplified F1) 3. Draw the logic diagram of the original Boolean expression F2 using 3-input AND gates, 3-input OR gates, and Inverters. Similarly, draw the logic diagram for the simplified Boolean expression F2 but using any gates that will provide the minimum gates. Compare the total number of logic gates used for the original and simplified version. (ex.2 gates for original F2, 1 gate for simplified F2)
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