A non-integer representation uses non-integer numbers as the radix, or base, of a positional numeral system. For a non-integer radix β > 1, the value of...

Bijective numeration is any numeral system in which every non-negative integer can be represented in exactly one way using a finite string of digits. The...

set of all such digit-strings and the set of non-negative integers, avoiding the non-uniqueness caused by leading zeros. Bijective base-k numeration is...

"The early origin of bar-and-dot numeration alongside the Middle Formative Mesoamerican scripts, the quinary-vigesimal structure of the system, and the...

Golden ratio base is a non-integer positional numeral system that uses the golden ratio (the irrational number 1 + 5 2 {\textstyle {\frac {1+{\sqrt {5}}}{2}}}...

called the base-ten positional numeral system and denary /ˈdiːnəri/ or decanary) is the standard system for denoting integer and non-integer numbers. It...

of the Polynesian Society. 129 (1): 59–84. doi:10.15286/jps.129.1.59-84. Retrieved July 24, 2020. Thomas, N.W (1920). "Duodecimal base of numeration"...

astrologers began to use this new principle for numeration with assigning numeral values to the phonetic signs of various Indian alphasyllabic scripts – the...

string of digits representing the otherwise non-negative number. The conversion to a base b 2 {\displaystyle b_{2}} of an integer n represented in base b 1...

even number of digits, while the base −r expansions of the non-negative integers have an odd number of digits. The base −r expansion of a number can...

(or indeed any integer-base system), but its sexagesimal expansion does begin 1;24,51,10,7,46,6,4,44... (OEIS: A070197) The value of π as used by the...

the factorial of a non-negative integer n {\displaystyle n} , denoted by n ! {\displaystyle n!} , is the product of all positive integers less than or...

following description of standard positional systems: In a standard positional numeral system, the base b is a positive integer, and b different numerals...

mathematics, Ostrowski numeration, named after Alexander Ostrowski, is either of two related numeration systems based on continued fractions: a non-standard positional...

system, that is, the quotient of an integer by a power of two. The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred...

See pages and 33 and 41. Alfred B. Taylor, "Octonary numeration and its application to a system of weights and measures", Proc Amer. Phil. Soc. Vol XXIV...

Latin word) is also used in some contexts, particularly base-12 numeration. Similarly, a group of twelve things is usually a "dozen" but may also be referred...

by grouping consecutive binary digits into groups of three (starting from the right, for integers). For example, the binary representation for decimal...

Arabic numeral system) is a positional base-ten numeral system for representing integers; its extension to non-integers is the decimal numeral system, which...

common base 10. The name "digit" originates from the Latin digiti meaning fingers. For any numeral system with an integer base, the number of different...

Āryabhaṭa numeration is an alphasyllabic numeral system based on Sanskrit phonemes. It was introduced in the early 6th century in India by Āryabhaṭa,...

of ancient Egyptian numerals was used in Ancient Egypt from around 3000 BC until the early first millennium AD. It was a system of numeration based on...

needed] which encodes positive integers into binary code words. It is one example of representations of integers based on Fibonacci numbers. Each code...

equivalent "numération factorielle" was first used in 1888. The term "factoradic", which is a portmanteau of factorial and mixed radix, appears to be of more...

PMC 3910603. PMID 24344278. Thomas, Northcote W (1920). "Duodecimal base of numeration". Man. 20 (1): 56–60. doi:10.2307/2840036. JSTOR 2840036. Retrieved...

1998). "Decimal vs. Duodecimal: An interaction between two systems of numeration". www3.aa.tufs.ac.jp. Archived from the original on October 5, 2008...

mathematics, a sequence of natural numbers is called a complete sequence if every positive integer can be expressed as a sum of values in the sequence...

of numbers and operations. In the 'Number Sense and Numeration' strand students develop an understanding of numbers by being taught various ways of representing...

types of numerations were used in the Sinhala language at the time of the invasion of the Kandyan kingdom by the British. Out of the five types of numerations...

part of a sexagesimal number, and zero was usually omitted when it was the integer. Some of Ptolemy's true zeros appeared in the first line of each of his...