Question

Minimize the following function using K-maps:

f(x,y,w,z)=∑(7,12,13,14,15)+∑d(0,2,5)

a) Only give the minimal SOP form. Draw the K-map, identify the groups and give the product term that corresponds to each group.
b) Without using the K-map, obtain the minimal POS directly from the Minimal SOP.

Answer 1

To minimize the function using K-maps, construct a K-map with variables x, y, w, and z, group the 1s in the K-map to form product terms, and then write the minimal SOP form of the function.

Step-by-step explanation:

To minimize the function using K-maps, we first need to construct a K-map with variables x, y, w, and z. Then, we can group the 1s in the K-map to form product terms for the minimal SOP form.

In this case, the K-map groups are as follows:

• x'y'zw' + x'y'z + xy'zw + xyz'
• x'wz' + xy'z + xyw' + xyz

Therefore, the minimal SOP form of the function is:

f(x,y,w,z) = x'y'zw' + x'y'z + xy'zw + xyz' + x'wz' + xy'z + xyw' + xyz