Definition:Binary Numbers
From ProofWiki
Definition
Binary numbers are numbers expressed in base $2$ notation.
That is, every number $x \in \R$ is expressed in the form:
- $\displaystyle x = \sum_{j \in \Z} r_j 2^j$
where $\forall j \in \Z: r_j \in \left\{{0, 1}\right\}$.
Binary numbers, like hexadecimal numbers, have particular relevance in the field of computer science.
Sources
- Seth Warner: Modern Algebra (1965)... (previous)... (next): $\S 24$
