8. As we discussed in the lecture, adders are essentially just "N:M compressors" (N inputs of certain weights, M outputs of certain weights), which ensure the weighted sum of inputs and outputs are the same. E.g., the HA is a 2:2 compressor, and the FA is a 3:2 compressor. Use a minimum number of HAs and FAs as your building blocks, implement the following circuits: (40%) 4:3 compressor, which takes 4 inputs (A0, A1, A2, A3) of weight 1 and generates three outputs: SO (weight 1), S1 (weight 2) and S2 (weight 4) 5:3 compressor, whose outputs have the same definitions as the 4:3 compressor, but it takes 5 inputs (A0 to A4) of weight 1. a. b