3.10 (a,b,d)

(a) xy+ ye + xy (b)" C,D + ABC" + ABD, + A,B,D 39 Find all the prime implicants for the following Boolean functions, and det are essential: (a)" F(w, x, y, z)-(0, 2, 4, 5, 6, 7, 8, 10, 13, 15) (b)"F(A, B, C, D)=(o, 2, 3, 5, 7, 8, 10, 11, 14, 15) (c) F (A, B, C. D) = (2, 3, 4, 5, 6, 7, 9, 11, 12, 13) (d) F(w,y,2)-3(1,3,6,7.8, 9,12, 13, 14, 15) (e) F(A, B, C, D)-(0, 1, 2, 5, 7, 8, 9, 10, 13, 15) (f) F(w, x, y, z)- (0, 1, 2, 5, 7, 8, 10, 15) Simplify the following Boolean functions by first finding the essential prime implicants: (a) 3.10 F(w,x, y, z)- (0, 2, 5, 7, 8, 10, 12, 13, 14, 15) F(A, B, C, D) (0, 2, 3, 5, 7, 8, 10, 11, 14, 15) (b) (c)* F(A, B.C D) (d) F(w, x, y, z) 2(1,3, 4, 5, 10, 11, 12, 13, 14, 15) (0, 1, 4,5, 6,7,9, 11, 14, 15) (e) (f) F(A, B, C, D) = (0, 1, 3, 7, 8, 9, 10, 13, 15) F(w, x, y, z) = (0, 1, 2, 4, 5, 6, 7, 10, 15) Using K-maps for Fand F', convert the following Boolean function from a sum-of-pr ucts form to a simplified product-of-sums forrm 3.11 F (wry,z)-(0, 1, 2, 5, 8, 10, 13)