Please help with this: A $16-$bit system used to represent floating$-$point numbers has the following format:

$\backslash$table$[[S,$Characteristic,Fraction,$0,],[15,14,10,9,,0]]$

The MSB $($S$)$ is the sign bit $(1$ for $-,0$ for $+).$ Bits $14$ through $10$ are the $5-$bit excess$-15$ representation of the signed exponent. Bits $9$ through $0$ are the $10-$bit fraction. There is a hidden assumed $1$ to the left of the fraction and the binary point is between the hidden $1$ and the fraction. This system has no representation for Nans, $+-$ infinity or denormalized values.

a$)(5)$ What decimal value does the pattern $0xE7FF$ represent in this system when the pattern is interpreted as a floating$-$point number?

b$)(5)$ What is the largest odd positive integer value that can be represented in this system? Express your answer as a decimal number.