Design a combinational circuit that forms the 2-bit binary sum S\Sq of two 2-bit numbers A...

Design a combinational circuit that forms the 2-bit binary sum S\Sq of two 2-bit numbers A1A0 and B1 B0 and has both a carry input C0 and carry output C2. Design the entire circuit implementing each of the three outputs with a two-level circuit plus inverters for the input variables. Begin the design with the following equations for each of the two bits of the adder: