1. Re-write the following formulae using only and (and parentheses if needed). (a) pqr (b) (pq)r 2. Consider a 3-bit integer a=a2a1a0 and a 2-bit integer b=b1b0. Using the bits of a and b as your propositions (so you have 5 atomic propositions: a0,a1,a2,b0, and b1, where 0 indicates false and 1 indicates true), write a propositional logic formula for each of the following claims. Express your answers in either conjunctive or disjunctive normal form. (a) (a+b) is odd (b) a is divisible by 3 (c) a=b