Question

Reduce the following Boolean expression using k-map.

F(w,x,y,z) = (w + x) ( x + z') (w' + y' + z) to SOP form

Answer 1

F(w,x,y,z) = (w + x)(x + z′)(w′ + y′ + z)

After plotting the corresponding values in the 4-variable K-map and making the largest possible groups, we get:

F = xz + xw′ + wy′z′

Hence, the minimized SOP form is:

F = w′x + xz + wy′z′