1) For each of the following functions, find all the minimum SOP expressions using the Karnaugh map. a) f(a, b,c, d) = Σm(0,2,3,4,6,7,8,9,10,11,13,15) (4 solutions) b) g(a, b,c, d,e)= Σm(0,1,2,4,5,6,10,13,14,18,21,22,24 ,26,29,30) (1 solution) c) h(a, b,c, d) = Σm(1,3,4,6,10,12)+Σd(0,7,9,13,15) (3 solutions) d) f(w, x,y, z) = Σm(0,2,7,8,9,11,13)+Σd(3,10) (2 solutions) 2) Map the following function and find the minimum SOP expression using the Karnaugh map. F = AB + AB’D + A’BD’ + A’CD’ + A’B’CD