computer architecture

2 Create Kmaps and then simplify for the following functions: (20 pts) 1) F(x,y,z)=xyz+xyz+xyz 2) F(x,y,z)=yz+xy+z 3) F(x,y,z)=xyz+xyz+xyz+xyz 4) F(x,y,z)=xy+yz+xz 5) F(x,y,z)=xy+yz+x+y+xyz 3 Simplify the following Boolean functions using Boolean algebra and its identities. List identities used at each step. (20 pts) 1) F(x,y)=xy+y+xy 2) F(x,y,z)=xyz+x+y+z 3) F(x,y,z)=(xyz)+(xy) 4) F(x,y,z)=x+(y+z)(x+y+z)(x+y+z) 5) F(w,x,y,z)=xz+xyz+wxz+wz