Following the K-MAP of a boolean function of five variables A, B, C, D and E. The minimum SOP is _____.

For the Boolean expression given belowF(A,B,C,D) = (2,3,6,7,9,11,13,15)d(A,B,C,D) = (0,4,5)(i) Plot the k-Map

Simplify the given logic functions using a Karnaugh map. Also, realize the minimum [15] ..SOP /POS function in each case, using logic gates.(a) F1 = ABC D +ABC D +ABC D +ABC D(b)F2 = nM (0,1,2,4,S,10,tt,13,14,tS) ,(c) F3 = L m (1, 3, 4, 5, 7, 10, 12, 13)Page 2 of 2

Use a Karnaugh map to find the minimum SOP form for each expression: (b) AC ( {overline B} +C)

Use a Karnaugh map to reduce each expression to a minimum SOP form:(a) A + B(overline C) + CD

Simplify the Boolean expression using K-Map: F(A,B,C,D)=∑m(1,3,4,5,9,11,14,15) + d∑(2,6,7,8).