a $2.$ Consider a $3-$bit integer a $=$ a$2$ajao and a $2-$bit integer b $=$ bibo. Using the bits of a and b as your propositions $($so you have $5$ atomic propositions: $20,21,$ aa$,$ bo$,$ and b$1,$ 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 $3=$ b $($c$)$ a $=$