Design a circuit which performs the arithmetic multiplication between two 2-bit unsigned inputs A =a1a0 and B =b1b0 , and outputs a 4-bit value P=p3p2p1p0 representing the product of A and B. Some examples of your circuits inputs and outputs are listed below:

Justify your answer! Note that while the individual bits of P will be constructed as their own circuits, all four can be constructed into a single circuit with four outputs. You may optionally use a splitter component in Logisim if you wish to join the four 1-bit outputs into a single 4-bit output.

q = true, do = true, b = false, bo = true (A = 3, B = 1), P3P2P1po = 0011 (P=3) ai = true, co = false, bi = true, bo = true (A = 2, B = 3), Pappipo = 0110 (P=6)