Here is the form for the answers. Please email it to brock@cs.unca.edu Problem 1: F(n, c, s, u) = Sigma( ); n c' + c + u s F(u, n, c, a) = Sigma( ); u c a + n' + u' c' + a c' Problem 2: xy + 1 = 0 + xyz = a + a'b = abc + ab'c = ab + abc = ab + ab'c = a + abcd = a' + abcd = (a'+b)c = (a'+b)' = Problem 3: Put 1's, 0's, X's in the appropriate elements. Mark the squares with letters. For example: Here's a completed Karnaugh map for F(x, y, z) = Sigma(0, 1, 4, 7) + d() x'y' x'y x y x y' ----------------------------- z' | A | | | A | | 1 | 0 | 0 | 1 | ----------------------------- z | A | | B | A B | | 1 | 0 | 1 | X | ----------------------------- The A-cube is y' The B-cube is x z Function is: x z + y' Karnaugh map for F(i, j, k, l) = Sigma(0,3,9,11,13,15) + d(1,2,6,8,10) ; ----------------------------- | | | | | | | | | | ----------------------------- | | | | | | | | | | ----------------------------- | | | | | | | | | | ----------------------------- | | | | | | | | | | ----------------------------- The A-cube is The B-cube is The C-cube is The D-cube is Function is: Karnaugh map for F(l, k, j, i) = Sigma(5,7,10,11,13,14) + d(6,8,15) ; ----------------------------- | | | | | | | | | | ----------------------------- | | | | | | | | | | ----------------------------- | | | | | | | | | | ----------------------------- | | | | | | | | | | ----------------------------- The A-cube is The B-cube is The C-cube is The D-cube is Function is: