Definition:Binary Notation

Binary numbers are numbers expressed in base $2$ notation.

That is, every number $$x \in \R$$ is expressed in the form:
 * $$x = \sum_{j \in \Z} r_j 2^j$$

where $$\forall j \in \Z: j \in \left\{{0, 1}\right\}$$.

Binary numbers, like hexadecimal numbers, have particular relevance in the field of computer science.