Question

Given the function below, F(w,x,y,z)= x’z+w’z’+w’y

a) draw a logic diagram for an implementation which uses only five two-input NOR gates.

b) Implement the function of parts a using only four two-input NAND gates. Draw the logic diagram. USE K-MAP TO SOLVE.

Answer 1

Given Function is F(w,x,y,z)= x’z+w’z’+w’y

F(w,x,y,z)= x’z+w’z’+w’y
[F']' = [(x’z+w’z’+w’y)']'  { We know that (P')'= P}
F = [(x’z)'(w’z’)'(w’y)']'   { We know that (P+Q)'=P' Q' }

The POS of F = (x’+y+z’)(w’+x’)(w’+z)

Given F = (x’+y+z’)(w’+x’)(w’+z)

[F']' = [{(x’+y+z’)(w’+x’)(w’+z)}']'   { We know that (P')'= P}

F= [(x’+y+z’)'+(w’+x’)'+(w’+z)']'   { We know that (PQ)'=P' + Q' }