For each of the following truth tables, use a Karnaugh map to get a simplified expression in the requested format. a. [Sum of Products] F(A,B,C,D) = Σ m(0, 1, 4, 6, 8, 9, 11, 13, 15) b. [Sum of Products] F(A,B,C,D) = m(0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14) c. [Product of Sums] F(W₁X,Y,Z) = Σ m(0, 1, 2, 3, 5, 6, 7, 8, 9, 13) Note: You must show the Kmap table, the groups, and final simplest expression.
For each of the following truth tables, use a Karnaugh map to get a simplified expression in the requested format. a. [Sum of Products] F(A,B,C,D) = Σ m(0, 1, 4, 6, 8, 9, 11, 13, 15) b. [Sum of Products] F(A,B,C,D) = m(0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14) c. [Product of Sums] F(W₁X,Y,Z) = Σ m(0, 1, 2, 3, 5, 6, 7, 8, 9, 13) Note: You must show the Kmap table, the groups, and final simplest expression.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![For each of the following truth tables, use a Karnaugh map to get a simplified expression in the requested format.
a. [Sum of Products] F(A,B,C,D) = Σ m(0, 1, 4, 6, 8, 9, 11, 13, 15)
b. [Sum of Products] F(A,B,C,D) = Σ m(0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14)
c. [Product of Sums] F(W,X,Y,Z) = m(0, 1, 2, 3, 5,6, 7, 8, 9, 13)
Note: You must show the Kmap table, the groups, and final simplest expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3eb03a80-7cae-4d33-b228-e2e0361c370e%2F2fee9824-afe9-44d6-9a95-fb31c5800ce5%2Ftb20283_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following truth tables, use a Karnaugh map to get a simplified expression in the requested format.
a. [Sum of Products] F(A,B,C,D) = Σ m(0, 1, 4, 6, 8, 9, 11, 13, 15)
b. [Sum of Products] F(A,B,C,D) = Σ m(0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14)
c. [Product of Sums] F(W,X,Y,Z) = m(0, 1, 2, 3, 5,6, 7, 8, 9, 13)
Note: You must show the Kmap table, the groups, and final simplest expression.
Expert Solution
Step 1: Question a)
Minterm = 0,1,4,6,8,9,11,13,15
Variable = A, B, C, D
Solution:
Minterm = ∑m(0,1,4,6,8,9,11,13,15)
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