91Ó°ÊÓ

Let \(f: B^{4} \rightarrow B\). Find the disjunctive normal form for \(f\) if a) \(f^{-1}(1)=\\{0101\) (that is, \(w=0, x=1, y=0, z=1\) ), \(0110,1000,1011\\}\), b) \(f^{-1}(0)=\\{0000,0001,0010,0100,1000,1001,0110\\}\).

Use a Karnaugh map to find a minimal-sum-ofproducts representation for a) \(f(w, x, y, z)=\sum m(0,1,2,3,6,7,14,15)\) b) \(g(v, w, x, y, z)=\prod M(1,2,4,6,9,10,11,14,17\), \(18,19,20,22,25,26,27,30)\)