Q6. (2*3 = 6 points)(a) Draw the logic diagram for F = X + XY’Z + W(X+Z’)(b) Obtain the Reduced Bool

Q6. (2*3 = 6 points)(a) Draw the logic diagram for F = X + XY’Z + W(X+Z’)(b) Obtain the Reduced Boolean expression for the following circuit diagram (ignore coloring)(circuit diagram available in Attachment file.)(Untitled.png)Q7. Use DeMorgan’s theorem to simplify the following expressions: (2*3 = 6 points)(a) ( (A’ + B)’ (C’+D’)’ )'(b) ( (AB’C)’ + (AB’)’ )’Q8. Kyle, Patrick, Jorge and Steven are hungry college students. They want a quicker way to decide where to go for lunch, the Marshall Center or Juniper. The majority wins, except when Jorge and Steven both agree, then they win. Any other ties end with a trip to Juniper. What would be the design of the logic circuit that automatically selects the restaurant when everyone votes? Show truth table, minimized Boolean expression, and circuit diagram. (10 points)