Design a 2-bit by 2-bit unsigned binary multiplier. The multiplier will take two inputs A[1:0] and B[1:0] and will produce a 4 bit output F[3:0] which is the product of both inputs A and B.

Design a circuit using Logisim.

Give the logical expression for F[3], F[2], F[1], and F[0] in a sum of products form.