$($a$)$ Write in binary the following decimals: $6_d,{14\mathrm{.}625}_d,{27}_d,{50\mathrm{.}3125}_d$

$($b$)$ Write in decimal the following binaries: ${00101}_b,{101\mathrm{.}1}_b,{110101}_b,{1011\mathrm{.}011}_b$