*/ Please, show the steps or explanation wherever needed and you should solve the each part. */

Q1) Consider the function f(x,y,z)=xy + y z. Derive a circuit for f that (a) Uses only 2-to-1 multiplexers. (b) Uses a 4-to-1 multiplexer (and additional gates if necessary) with the help of the truth table. (c) Uses a 4-to-1 multiplexer (and additional gates if necessary) with the help of the Shannon's expansion theorem. Q2) Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions (a) (b) Fi = xy+xz F2 = xy: + ys F3 = x 'y'=' + xy F1 = (x + y');' F2 = (x + y)(x' + 2) F3 = (y + 2)(x'+=')