1. (25 points) Digital Logic Design Build a two-bit multiplier out of only NAND gates (i.e. it multiplies two two-bit numbers resulting in a 4-bit number). Building a truth table for to determine the formulas for the outputs and then finding minimal SOP(sum of products). Drawing a logic diagram for your NAND gates (two-input NAND gate only), where the two bits for operand A are A1 and AO and the bits for operand B are B1 and BO, the output Care C3,C2,C1, and CO ((AO, BO, and CO are LSBs)