[Solved]: Is there a difference between pure binary and binary?

Problem Detail: 

In some books and on the internet I occasionally find "pure binary" and "binary" on its own, is there a difference between these two terms? If so, can someone describe briefly what they are?

Asked By : Saras

Answered By : Raphael

I'm guessing here for lack of context, but I think the following distinction is reasonable.

A binary encoding is anything that maps stuff to bit strings. There are many, including two's complement, IEEE float, ASCII, and so on.

Pure binary probably refers to bland natural numbers written in base two, i.e. if $n_{(2)} = a_k\dots a_0$ then

$\qquad\displaystyle n = \sum_{i=0}^{k} 2^ia_i$.

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Question Source : http://cs.stackexchange.com/questions/11462