Imagine a small town council consisting of three council members, each member of this council votes on various issues by toggling a small switch at their seat to yes or no position. Assume the yes position produces a logical 1, and no position produces a logical 0. A circuit must be designed that produces a logic 1 output any time two or more of the council members vote yes. a. Using A, B, and C as the states of each switch, complete a truth table that shows all the possible switch setting and the desired output for each setting.
b. From the truth table in Part a, determine the Boolean expression for the "majority- detector" function.
c. Reduce the function (by using a Karnaugh map), and implement the function directly using gates.