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Simplify the following functions using K-maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don't-care cases.

Simplify the following functions using K-maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don't-care cases.

Database System Concepts
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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Simplify the following functions using K-maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don't-care cases. a) F(x, y, z) = (0,2,4,5) b) F(x, y, z) = (0,1,2,3,5) c) F(x, y, z) = Σ(1,2,3,6,7) d) F(x, y, z) = Σ(3,4,5,6,7) e) F(A,B,C,D) = Σ(4,6,7,15) f) F(w, x, y, z) = Σ(0,2,8,10, 12, 13, 14) g) F(w, x, y, z) = Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) h) F(A, B, C, D) = [(1,3,6,9,11,12,14) i) F(x, y, z) = Σ(0,4,5,6) and d(x, y, z) = Σ(2,3,7)
Transcribed Image Text:Simplify the following functions using K-maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don't-care cases. a) F(x, y, z) = (0,2,4,5) b) F(x, y, z) = (0,1,2,3,5) c) F(x, y, z) = Σ(1,2,3,6,7) d) F(x, y, z) = Σ(3,4,5,6,7) e) F(A,B,C,D) = Σ(4,6,7,15) f) F(w, x, y, z) = Σ(0,2,8,10, 12, 13, 14) g) F(w, x, y, z) = Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) h) F(A, B, C, D) = [(1,3,6,9,11,12,14) i) F(x, y, z) = Σ(0,4,5,6) and d(x, y, z) = Σ(2,3,7)
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