Doubt on Floating Point Representation $1-2^{-23}$ and $2-2^{-22}$ both represents floating point representation or normalised representation.But are those two represent same value or both have different value? Is floating point representation same as IEEE representation??
Is floating point representation same as IEEE representation?


Well, not exactly. Floating point is more the abstract idea for "a fractional number" (of arbitrary magnitude) or rather "a number of varying precision. 

On the other hand, IEEE(754) is a specific implementation of this idea. Other standards exist and all of them implement "floating point" numbers.