A number base of a numeral system defines the symbols and notations used to represent a value.
For example, base 2 provides two distinct symbols that are then combined to represent larger quantities.
Given some numeric representation with digits
This may also be extended to cover non-integers with a negative exponent for the fractional digits.
For example,
To convert a decimal value to an alternate base,
For example, to express
Repeated division by base for integer component. Repeated multiply by base for fractional component.
Segment into groupings of size
Additive systems - Bakairi - Attic numerals
vs positional