Complete the following number system problems.

$($a$)$ Convert decimal numbers $28,100,$ and $341$ to binary.

$($b$)$ Convert decimal numbers $14,15,16,17,$ and $18$ to binary.

$($c$)$ Convert binary numbers $11012,101010102,$ and $11112$ to decimal.

$($d$)$ Convert binary numbers from $($c$)$ hexadecimal.

$($e$)$ Convert hex number $2$AH to decimal and to binary.

$($f$)$ Convert decimal number $365$ to BCD$.$

$($g$)$ Convert BCD number $0100,0001$BCD to decimal.