a) Given this truth table, write the best optimized sum of products style equation for the output O (using boolean algebra).

**An example of a sum of products style equation is: O = A.!B + !A.B.C

b) Draw the optimized digital logic design for this function.

A B 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 C 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 D 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1