I need to design a 3 bit comparator using only multiplexers specifically 74ls153 and/or 74ls151. I've already constructed the truth table(see below) and realized that A=B is not needed since its inferred when both A > B & A < B are equal. My thought process has me using three 74ls153's to compare pairs of bits starting with the LSB and working my way up to MSB. One "side" of the mux is wired to output A>B and the other "side" wired for B>A.
a) unsure how to carry these outputs to the next multiplexer / final multiplexer
b) how to convert this to a 2-bit output
I'm not looking for an outright answer, more so a point in the right direction with a better understanding.