ou are making labels for the $624$ different types of cheese in your cheese store. It$$s important that

the labels be as short as possible $-$ to preserve the ink in your label maker. In a cruel twist of fate, your

label maker only prints $0$s and $1$s$.$

$($a$)$ How many digits will appear on each label?

$($b$)$ How many total character will your label maker have to print in order to make labels for all the

cheese in your store?

$2.$ Convert the following numbers to decimal. Show your work, or receive no credit.

$($a$)1012$

$($b$)10102$

$($c$)101012$

$($d$)1011102$

$($e$)10011102$

$($f$)100111010001012$

$3.$ Convert the following number to binary. Show work, or receive no credit.

$($a$)5510$

$($b$)27310$

$($c$)44210$

$($d$)706510$

$4.$ Convert the following number to binary. Show work, or receive no credit.

$($a$)3$C$16$

$($b$)7$A$16$

$($c$)$ BD$16$

$($d$)6$E$316$

$5.$ Convert the following number to hex. Show work, or receive no credit.

$($a$)1010111012$

$($b$)101101110002$

$($c$)1011110100012$

$6.$ Convert the following number from the given base to the requested base. Show work, or receive no

credit.

$($a$)$ Convert $1235$ to base$-12$

$($b$)$ Convert $78912$ to base$-5$

$($c$)$ What is the largest base$-10$ quantity that can be represented using $5$ digits in base $12?$

$1$