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9. 3.9 Find all the prime implicants for the following Boolean functions, and determine which are essential: 1. (a)* F (w, x, y, z)=Σ(0, 2, 4, 5, 6, 7, 8, 10, 13, 15) 2. (b)* F (A, B, C, D)=Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) 3. (c) F (A, B, C, D)=Σ(2, 3, 4, 5, 6, 7, 9, 11, 12, 13) 4. (d) F (w, x, y, z)=Σ(1, 3, 6, 7, 8, 9, 12, 13, 14, 15) 5. (e) F (A, B, C, D)=Σ(0, 1, 2, 5, 7, 8, 9, 10, 13, 15) 6. (f) F (w, x, y, z)=Σ(0, 1, 2, 5, 7, 8, 10, 15)

9. 3.9 Find all the prime implicants for the following Boolean functions, and determine which are essential: 1. (a)* F (w, x, y, z)=Σ(0, 2, 4, 5, 6, 7, 8, 10, 13, 15) 2. (b)* F (A, B, C, D)=Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) 3. (c) F (A, B, C, D)=Σ(2, 3, 4, 5, 6, 7, 9, 11, 12, 13) 4. (d) F (w, x, y, z)=Σ(1, 3, 6, 7, 8, 9, 12, 13, 14, 15) 5. (e) F (A, B, C, D)=Σ(0, 1, 2, 5, 7, 8, 9, 10, 13, 15) 6. (f) F (w, x, y, z)=Σ(0, 1, 2, 5, 7, 8, 10, 15)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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9. 3.9 Find all the prime implicants for the following Boolean functions, and determine which are essential: 1. (a)* F (w, x, y, z)=Σ(0, 2, 4, 5, 6, 7, 8, 10, 13, 15) 2. (b)* F (A, B, C, D)=Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) 3. (c) F (A, B, C, D)=Σ(2, 3, 4, 5, 6, 7, 9, 11, 12, 13) 4. (d) F (w, x, y, z)=Σ(1, 3, 6, 7, 8, 9, 12, 13, 14, 15) 5. (e) F (A, B, C, D)=E(0, 1, 2, 5, 7, 8, 9, 10, 13, 15) 6. (f) F (w, x, y, z)=Σ(0, 1, 2, 5, 7, 8, 10, 15)
Transcribed Image Text:9. 3.9 Find all the prime implicants for the following Boolean functions, and determine which are essential: 1. (a)* F (w, x, y, z)=Σ(0, 2, 4, 5, 6, 7, 8, 10, 13, 15) 2. (b)* F (A, B, C, D)=Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) 3. (c) F (A, B, C, D)=Σ(2, 3, 4, 5, 6, 7, 9, 11, 12, 13) 4. (d) F (w, x, y, z)=Σ(1, 3, 6, 7, 8, 9, 12, 13, 14, 15) 5. (e) F (A, B, C, D)=E(0, 1, 2, 5, 7, 8, 9, 10, 13, 15) 6. (f) F (w, x, y, z)=Σ(0, 1, 2, 5, 7, 8, 10, 15)
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