You$$ll be working with $8-$bit integers X $=$ X$0,...$ X$7$ and Y $=$ Y$0,...,$ Y$7.$

$1.$ Design a comparator unit. Given input bits Xi

$,$ Yi

$,$ Ain and Bin, it produces outputs

Aout and Bout such that:

$$ If Ain $=0$ or Bin $=0,$ then Aout $=$ Ain and Bout $=$ Bin.

Otherwise

$$ If Xin $=$ Yin, Aout $=0,$ Bout $=0.$

$$ If Xin $>$ Yin, Aout $=1,$ Bout $=0.$

$$ If Xin $<$ Yin, Aout $=0,$ Bout $=1.$

Produce a full design with logic gates.