There are many different numeral systems, that is, writing systems for expressing numbers.
By culture / time period
By type of notation
Numeral systems are classified here as to whether they use positional notation (also known as place-value notation), and further categorized by radix or base.
Standard positional numeral systems
The common names are derived somewhat arbitrarily from a mix of Latin and Greek, in some cases including roots from both languages within a single name.For the mixed roots of the word "hexadecimal", see .
There have been some proposals for standardisation.http://www.numberbases.com/terms/BaseNames.pdf
[[Non-standard positional numeral systems]]
[[Bijective numeration]]
[[Signed-digit representation]]
[[Negative bases]]
The common names of the negative base numeral systems are formed using the prefix nega-, giving names such as:
[[Complex-base system|Complex bases]]
[[Non-integer representation|Non-integer bases]]
[[p-adic number|n-adic number]]
[[Mixed radix]]
Factorial number system {1, 2, 3, 4, 5, 6, ...}
Even double factorial number system {2, 4, 6, 8, 10, 12, ...}
Odd double factorial number system {1, 3, 5, 7, 9, 11, ...}
Primorial number system {2, 3, 5, 7, 11, 13, ...}
Fibonorial number system {1, 2, 3, 5, 8, 13, ...}
{60, 60, 24, 7} in timekeeping
{60, 60, 24, 30 (or 31 or 28 or 29), 12, 10, 10, 10} in timekeeping
(12, 20) traditional English monetary system (£sd)
(20, 18, 13) Maya timekeeping
Other
Quote notation
Redundant binary representation
Hereditary base-n notation
Asymmetric numeral systems optimized for non-uniform probability distribution of symbols
Combinatorial number system
Non-positional notation
All known numeral systems developed before the Babylonian numerals are non-positional,Chrisomalis calls the Babylonian system "the first positional system ever" in .
as are many developed later, such as the Roman numerals.
The French Cistercian monks created their own numeral system.
See also
List of numbers in various languages (cardinal number names)
List of numeral system topics
Numeral prefix
Radix
Radix economy
Table of bases
References
