You have a digital music collection of $2,300$ songs with an average of $4\mathrm{.}6$ MB storage required for each song. $($a$)$ How many $650$ MB CDs will it take for you to burn your entire collection? Round up to the next whole number. $($b$)$ If you could burn it to $4\mathrm{.}7$ GB DVDs$,$ how many DVDs would it take? Round up to the next whole number.