Given the truth table below, simplify the following Boolean functions F1 and F2 to a minimum number of literals: A 00 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 с 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. What is the original Boolean expression that can be derived for F1? Provide both SOP and POS Form (Example: SOP: F1 = ABC, POS: F1 = 1) 2. What is the original Boolean expression that can be derived for F2? Provide both SOP and POS Form (ex. SOP: F2 = ABC, POS: F2 = 1) 3. Using Boolean Algebra, what is the simplified Boolean expression of F1? (ex. F1 = ABC)
Given the truth table below, simplify the following Boolean functions F1 and F2 to a minimum number of literals: A 00 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 с 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. What is the original Boolean expression that can be derived for F1? Provide both SOP and POS Form (Example: SOP: F1 = ABC, POS: F1 = 1) 2. What is the original Boolean expression that can be derived for F2? Provide both SOP and POS Form (ex. SOP: F2 = ABC, POS: F2 = 1) 3. Using Boolean Algebra, what is the simplified Boolean expression of F1? (ex. F1 = ABC)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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
0
0
0
0
0
1
1
1
1.
What is the original Boolean expression that can be derived for F1? Provide both SOP and POS
Form (Example: SOP: F1 = ABC, POS: F1 = 1)
2. What is the original Boolean expression that can be derived for F2? Provide both SOP and POS
Form (ex. SOP: F2 = ABC, POS: F2 = 1)
3. Using Boolean Algebra, what is the simplified Boolean expression of F1? (ex. F1 = ABC)
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