Course: CS311 computer Architecture and Organization.

Give the truth table descriptions of the functions given by the following Boolean expressions. Also design the corresponding logic diagram. Use the type of gates specified after the expression.

a) F(x,y,z)=xyz +xyz+xyz (Use inverters, 2-input AND gates, and 2-input OR gates). (Note: There are 3 minterms. xyz, xyz, xyz.. There is bar on the y of the first mintern, a bar on x on the second minterm and bar on yz of the last minterm. I dont know how to type the bar on them that's why i am writing it here. )

b) F(w, x, y, z) = w x y + x y z + w y (Use gates with no more than 3 inputs). (On the first minterm there is a bar on x, second minterm there is bar on z, third minterm there is bar on W)

c) F(a, b, c) = a b + b c (Use inverters, 3-input AND gates, and 3-input OR gates). ( Bar on a for the first minterm, and bar on b for the second minterm).