As you know $32$ bit single precision floating representation has $1$ Sign bit, $8$ bit Exponent and $23$ bit Mantissa and it has a bias value of $+127$ for the exponent QN$04.$ In this question, we will make up a fictitious floating number system, called AYBU float, in the following format. $1$ Sign bit $3$ Exponent bit $6$ Mantissa. And a bias value of $+3$ for the exponent. $($a$)$ Represent the decimal number x$=$N$.$M$,$ where N$=11$ and M$=0\mathrm{.}125$x$2($b$)$ What is the largest positive floating number that you can represent in this AYBU float format?