A city council has three members, A, B, and C. Each member votes on a proposition (1 for yes, 0 for no). Find a minimized SOP logic expression having inputs A,B, and C and output X that is high when the majority vote is yes and low otherwise. Show that the minimized logic circuit checks to see if any pair of the three board members have voted yes. Repeat for a council with remembers. (Hint: In this case, the circuit checks to see if any group of three has all voted yes.)