Jack and Jill have two children, Joe and Sue. When eating out they will go to a restaurant that serves only hamburgers or one that serves chicken. Before going out, the family votes to decide on the restaurant. The majority decides, except when the children agree, and in that case they win. Any other tie votes produce a trip to the chicken restaurant. We wish to design a logic circuit that will automatically select the restaurant when everyone votes. Minimize the circuit using: a) Minimize the expression for the circuit using K-maps b) Minimize the expression for the circuit using SOP and Boolean Algebra (show that you arrive at the same answer from part (a)) c) Draw the logic circuit A failure indicator circuit has 3 inputs X, Y, & Z which take only the values: 000 or 001 corresponding to failure, 011 or 111 corresponding to correct functioning Design the failure indicator circuit by: a) Making a truth table with '0', '1', and 'd' values. b) Optimize the logic function with the K-map representation of (a) c) Draw the circuit