1 Construct a truth table for the following: xyz+x(yz)+x(y+z)+(xyz) 2 Is the following true or false? Prove your answer: (xXORy)=xy+(x+y) 3 Given the Boolean expression, use the given identities in the order shown, to derive the simplified Boolean expression. Show the Booleans expression after applying each identity. x(yz+yz)+xy+xy+xz - Distributive - Inverse - Identity - Distributive and Commutative - Inverse - Identity and Commutative - Idempotent xz+y 4 Given the Kmap below, determine the simplified Boolean expression it represents