Practice Problem $3$

Computer programming represents all information in bits. A single bit has $2$ possible values $(0$ or $1),$ a pair of bits has $4$ possible values $,$ or $11),$ a set of three bits has $8$ possible values, and so on$.$ When programming an RPG$,$ Mike needs the game to display damage values that can range from $0$ up to $999,999.$ How many bits does Mike need to reserve for the computer to handle all of these possible values? Remember that computers can only use whole numbers of bits.