2. In this question, you will construct a circuit that takes a pair of fixed width two-bit repre- sentations (120)2 and (9130)2 and computes the two output bits of the maximum between the difference of the inputs and 0. In other words, if m= (20)2 and n = (y130)2, your circuit should output z and zo where (2120)2 [m-1 n if m 2 n otherwise (a.) (6 points) Draw the truth table with two output columns z and zo specifying how their values depends on the input bits. (b.) (4 points) Decide whether to use DNF or CNF to express each column 20, 21 as a compound proposition. Write this proposition, and justify your choice. (e.) (Optional.) Draw the resulting circuit with four inputs and two outputs implementing your design from part (b)..