B. Suppose you want a circuit that will implement a "majority vote" concept for three input wires. One of your friends suggests the formula (A AND B) OR (B AND C) OR (A AND C). Another friend insists that it should be (A AND (B OR C)) OR (C AND (A AND B)) instead. To figure out which friend is correct, develop a truth table for each formula. Show your work by including columns for all the intermediate values. (You should have one column for each set of parentheses, plus the final result.) What do you conclude from this exercise, both about your friends' advice and circuit design