Category:Non-standard positional numeral systems
Non-standard positional numeral systems here designates numeral systems that may loosely be described as positional systems, but that do not entirely comply with the following description of standard positional systems:
- In a standard positional numeral system, the base b is a positive integer, and b different numerals are used to represent all non-negative integers. Each numeral represents one of the values 0, 1, 2, etc., up to b − 1, but the value also depends on the position of the digit in a number. The value of a digit string like pqrs in base b is given by the polynomial form
- [math]p\times b^3+q\times b^2+r\times b+s[/math].
- The numbers written in superscript represent the powers of the base used.
- For instance, in hexadecimal (b=16), using the numerals A for 10, B for 11 etc., the digit string 7A3F means
- which written in our normal decimal notation is 31295.
- Upon introducing a radix point "." and a minus sign "−", all real numbers can be represented.
Pages in category "Non-standard positional numeral systems"
The following 25 pages are in this category, out of 25 total.
- Non-standard positional numeral systems (computing)
- Complex-base system (computing)
- Komornik–Loreti constant (computing)
- Mixed radix (computing)
- Ostrowski numeration (computing)
- Quater-imaginary base (computing)
- Redundant binary representation (computing)