Simplify the following functions using a K-map: (a) F(X,Y) = m2 + m3 (b) F(X,Y) = X + X'Y (c) F(X,Y) = X' + XY'

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
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5. Simplify the following functions using a K-map:
(a) F(X,Y) = m2 + m3
(b) F(X,Y) = X + X'Y
(c) F(X,Y) = X' + XY'
(d) F(X,Y,Z) =m, + m2 + m5 + m,
( e) F(X Y,Z)XΥΖ+ ΧYZ+ ΧΥ'Ζ + ΧYΖ
(f) F(X,Y,Z) = a(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
Transcribed Image Text:5. Simplify the following functions using a K-map: (a) F(X,Y) = m2 + m3 (b) F(X,Y) = X + X'Y (c) F(X,Y) = X' + XY' (d) F(X,Y,Z) =m, + m2 + m5 + m, ( e) F(X Y,Z)XΥΖ+ ΧYZ+ ΧΥ'Ζ + ΧYΖ (f) F(X,Y,Z) = a(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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