Design a $3-$bit synchronous counter that counts the following sequence using D FFs:

$0->3->2->6->$ repeat

a$.$ Draw the counter state machine $(5$ points$)$

Converting the numbers to $3-$bit binary gives the sequence as:Encode the following binary number in floating point representation. Give your answer as $4$

hexadecimal bytes. $(10$ points$)$

$1\mathrm{.}111110000100100000011100101$ x $2-10$