In this question, you will construct a circuit that takes a pair of two-bit integers (x_1 x_0)_2 and (y_1 y_0)_2 and computes the four output bits for their integer product. For example, the product of (10)_2 and (11)_2 is (110)_2 and could be computed by long multiplication as +10/110 This is the product, whose four output bits will be 0110. a. Express the two-bit output of multiplying yo with (x_1 x_0)_2 as two compound proposition: one for the least significant bit, call it a_0, and one of the most significant bit, call it a_1. b. Use part a, and our work in class on adding integers in binary to express each of the four bits of output as compound propositions with inputs x_0, x_1, y_0, y_1 c. Draw a logic circuit with four inputs and four outputs implementing your design in part b