Design description Five Boolean functions are to be implemented using multiplexers and decoders. The functions must be implemented as specified below: (1) Implement Fi(x,y,z) and F2(x,y,z) using a 3-to-8 decoder and added gates. The 3-to-8 decoder should be built from the two 2-to-4 decoders in a type 74155IC before implementing the functions. (2) Implement Fa(w,x,y,z) with an 8-to-1 multiplexer which should be constructed from the two 4-to-1 multiplexers in a type 74153 IC. The control signals are w y, and z. (3) Implement each of the remaining two functions, F4(w,x.y,z) and Fs(w.x.y,z), using a 4-to-1 multiplexer and added gates. Note that the two multiplexers in 74153 have common selects. The variables which are chosen as control signals (selects) are the same for both F4 and Fs