PART $4(30$ points$)$:

You will design and implement a logic circuit with the following characteristics. A city council has $3$ 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.

Part A$.$ Construct the truth table that represents the logic for the above specifications.

Setup the $3$ inputs and $1$ output truth table.

Create the $24$ Karnaugh map and fill in the blocks.

Group the blocks into the largest and fewest groups possible, making sure the dimens

ions of the groups are of the appropriate sizes $.$

Please show how to make circuirt