Poincar (product of spheres) polynomial: f(Smi x Sm12 S x x Smn) [ LUT design ] [ ROM design ] MIPS Assembly implementation ] Given: The Poincar (product of spheres) polynomial 1. Design a digital logic circuit (all steps are required), using minimal amount of gates, that will realize a digital LookUp Table (LUT) corresponding to the following Poincar polynomial f(S"n Sm2 STn3) = (1 + r)(1 + x2)(1 + x3), with input : 0