Simplify the following functions using K-maps, and then derive the corresponding simplifiedBoolean 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)

a) The K-map for F(x,y,z) = Σ(0,2,4,5) is: z' zy' 0 1y 2 5x' 4 d We can simplify it…

Answered: Simplify the following functions using…

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

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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Concept explainers

Representation of Polynomial

It is necessary for the polynomial expression that each expression consists of two parts:

Question

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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