4. (8 marks] Design a circuit which performs the arithmetic multiplication between two 2-bit unsigned inputs A = a 4o and B = b;bo, and outputs a 4-bit value P = PP2PPo representing the product of A and B. Some examples of your circuit's inputs and outputs are listed below: . a = true, ao = true, by = false, bo = true (A = 3, B = 1), PPP. Po = 0011 (P = 3) a = true, ao = false, b. = true, bo = true (A = 2, B = 3), Pappipo = 0110 (P = 6) 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