5. Simplify the following functions using a K-map:(a) F(X,Y) = m2 + m3(b) F(X,Y) — X+ X'Ү(с) F(X,Y) — X' + XҮ(d) F(X,Y,Z) =mo+ m2 + m5 + m7(e) F(X,Y,Z) = X'Y'Z' + X'YZ + XY'Z + XYZ(f) F(X,Y,Z) = T(0, 2, 5, 7)(g) F(X,Y,Z) = XY'Z + X' + Z + Y'Z'(h) F(W,X,Y,Z) = X'Y'Z' + XYZ' + WXY + W'X'Y' + WZ(i) F(W,X,Y,Z) = X' + XZ' + WX'Y + W'Y' + WZ%3D

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Simplify the following functions using a K-map:

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

Bounded Summation

In mathematics, the summation is the process of adding a sequence of numeric values, known as addends and their result is called sum or total. The term summation refers to the addition or sum of two or more numbers or units. For example-

Question

5. Simplify the following functions using a K-map:
(a) F(X,Y) = m2 + m3
(b) F(X,Y) — X+ X'Ү
(с) F(X,Y) — X' + XҮ
(d) F(X,Y,Z) =mo+ m2 + m5 + m7
(e) F(X,Y,Z) = X'Y'Z' + X'YZ + XY'Z + XYZ
(f) F(X,Y,Z) = T(0, 2, 5, 7)
(g) F(X,Y,Z) = XY'Z + X' + Z + Y'Z'
(h) F(W,X,Y,Z) = X'Y'Z' + XYZ' + WXY + W'X'Y' + WZ
(i) F(W,X,Y,Z) = X' + XZ' + WX'Y + W'Y' + WZ
%3D

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