Answer to Question #170630 in Discrete Mathematics for Tobi

Question

Using quine mccluskey to simplify the sum of product expansion wxyz'+wx'yz+wx'yz'+w'xyz+w'xy'z + w'x'yz + w'x'y'z

Answer 1

Given sum of product expansion is-

wxyz'+wx'yz+wx'yz'+w'xyz+w'xy'z + w'x'yz + w'x'y'z

This is genrally given by the function whose minterms are-

$F(w,x,y,z)=\sum m(1,3,5,7,10,11,14)$

The corrosponding K-map is given by-

The expression from k-map is given as-

F=w'z+wx'y+wyz'

= w'z+wy(x'+z')