You are tasked with creating a $14-$bit floating point number system to accurately represent the boiling point of liquids on earth. The system should be able to store temperatures above zero as positive values and temperatures below zero as negative values, like the IEEE$754$ standard. The range of temperatures to be stored should be from $+2750$ degrees $($boiling point of Liquid iron$)$ to $-183$ degrees $($boiling point of Liquid oxygen$).$ Note: This representation has normalized, de$-$normalized and special cases as you have seen in IEEE$754$ standard. Answer the questions below: a$)$ What is the minimum number of bits needed for the exponent? What is the value of the corresponding bias? Show your steps clearly, otherwise no point will be given. $(6$ points$)$