$1\mathrm{.}2$ Convert the following decimal numbers into binary, using the method shown in $\frac{?}{{?}_{\frac{?}{?}}}$ Figure $1\mathrm{.}6.$

$($a$)(30{)}_{10}$

$($b$)(110{)}_{10}$

$($c$)(259{)}_{10}$

$($d$)(500{)}_{10}$

$($e$)(20480{)}_{10}$

$1\mathrm{.}7$ Convert the following binary numbers into decimal.

$($a$)(110010{)}_2$

$($b$)(1100100{)}_2$

$($c$)(11001000{)}_2$

$($d$)(110010000{)}_2$

Problem: $1\mathrm{.}9$

What is the minimum number of bits needed to represent the following decimal numbers in binary?

$1\mathrm{.}9$ Repeat $$ Problem $1\mathrm{.}8$ for the following decimal numbers:

$($a$)(111{)}_{10}$

$($b$)(333{)}_{10}$

$($c$)(555{)}_{10}$

$($d$)(1111{)}_{10}$