a$)$ Given that $(16{)}_{10}=(100{)}_b,$ find the value of $b.$

b$)$ Convert $($A$0$F$9\mathrm{.}0$EB$)16$ to decimal.

c$)$ Convert $(756\mathrm{.}603)$s to Hex.

d$)$ Convert $(110101\mathrm{.}10101011)$ to Octal.

e$)$ Subtract $14$ from $46$ using the $8-$bit $2\text{'}$s complement arithmetic.