Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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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-
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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'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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Transcribed Image Text: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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