$1.$ Convert the following binary numbers to decimal.

$$

a$.0$b$1011\mathrm{.}1101=11\mathrm{.}8125$

b$.0$b$0\mathrm{.}00111=0\mathrm{.}21875$

$$

$2.$ Write the normalized $($binary$)$ representation of the binary numbers in Problem $1.$ Note that the exponents are in decimal.