Order of magnitude of groupings in a positional number system.

### Examples

- The binary number system consists of groupings of two. Its base is two.
- The decimal number system consists of groupings of ten. Its base is ten.

Depending on the base of the number system used, a number does not represent the cardinal of the objects. To represent 33 objects, we could write:

\(33_{ten}\) or \(53_{six}\) or \(100\space001_{two}\)