a) Impement the following two Boolean functions using only two 2x4 decoders F1 = x'z + y'z F2 = xz + yz The complements of the variables are not available PS NS NS y Y b) Reduce the number of states in the following state table and tabulate the reduced state table. x is the input and y is the output. 0 x=1 x=0 r=1 a b d 0 0 b b a 1 1 d b 1 0 d a 0 0 e b d 0 0 f d b 1 1 g e 0 0 h bi b 1