Problem $1(30$ points$)$: Write a simplified expression for the Boolean function defined

by each of the following Kmaps

a$.$

b$.$

c$.$

Problem $2(30$ points$).$ Create the Kmags and then simplify for the following functions:

a$.F(x,yz)=x{z}^{\text{'}}{z}^{\text{'}}+z+xj{z}^{\text{'}}$

b$.F(x)zz$

c$.F(x)dz$

Problem $3(40$ points$).$ Write a simplified expression for the Boolean function defined

by each of the following Kmags

a

b$.$

c$.$