2. In this question, you wil construct a circuit that takes a pair of fixed width two-bit repre sentations (1o)2 and (yo)2 and computes the two output bits of the maximum between the difference of the inputs and 0 In other words, if m = (riro)2 and n-(yly0)2, your circuit should output z and zo where (z120)21o otherwise (a.) (6 points) Draw the truth table with two output columns z1 and zo specifying how their (b.) (4 points) Decide whether to use DNF or CNF to express each column z, z1 as a (c.) (Optional.) Draw the resulting circuit with four inputs and two outputs implementing values depends on the input bits compound proposition. Write this proposition, and justify your choice. your design from part (b)