For all questions, use a KMAP to simplify. You might need to do some additional work to use the KMAP $($remember you have to only have minterms$).$ You are not required to include truth tables, but I recommend you use them to check to make sure you answer is correct.

$(30$ pts$)$ Draw the Circuit for $F(x,y,z)=x^{\text{'}}{z}^{\text{'}}+x{y}^{\text{'}}+x{z}^{\text{'}}+xyz.$ Then simplify and draw the circuit for the simplified logic.

$(20$ pts$)F(x,y,z)=x{y}^{\text{'}}+x^{\text{'}}z+y^{\text{'}}z+x$

$(20$ pts$)F(w,x,y,z)=w^{\text{'}}{y}^{\text{'}}+w^{\text{'}}xz+w^{\text{'}}xz+w{x}^{\text{'}}{y}^{\text{'}}{z}^{\text{'}}$