Convert the following numbers from the given base into the indicated new base. Show your work $($though you may and should use technology to check$).$

$($a$)(111{)}_{10}$ to binary.

$($b$)(1111{)}_{10}$ to binary.

$($c$)(110011{)}_2$ to decimal. $($e$)(123{)}_5$ to septimal $(7).$

$($d$)(1011011{)}_2$ to decimal. $($f$)(123{)}_7$ to pentimal $(5).$