Consider a $12-$bit two's complement fixed point representation, with $8$ bits for the integer part and $4$ bits for the fraction.

What is the binary encoding of the decimal value $45\mathrm{.}625?$

NOTE $1$: When correct answer is displayed by Moodle, leading zeroes will not be shown. But your answer should include the correct number of bits, including leading zeroes.

Note $2$: Enter your answer WITHOUT the binary point. Join the $8$ integer bits and $4$ fraction bits as one value. i$.$e$.101\mathrm{.}101->101101($Moodle Issue$)$