This article is about expressing numbers with symbols. For different kinds of numbers, see Number system. For expressing numbers with words, see Numeral (linguistics).
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Numeral systems
Place-value notation
Hindu–Arabic numerals
Western Arabic
Eastern Arabic
Bengali
Devanagari
Gujarati
Gurmukhi
Odia
Sinhala
Tamil
Malayalam
Telugu
Kannada
Dzongkha
Tibetan
Balinese
Burmese
Javanese
Khmer
Lao
Mongolian
Sundanese
Thai
East Asian systems
Contemporary
Chinese
Suzhou
Hokkien
Japanese
Korean
Vietnamese
Historic
Counting rods
Tangut
Other systems
History
Ancient
Babylonian
Post-classical
Cistercian
Mayan
Muisca
Pentadic
Quipu
Rumi
Contemporary
Cherokee
Kaktovik (Iñupiaq)
By radix/base
Common radices/bases
2
3
4
5
6
8
10
12
16
20
60
(table)
Non-standard radices/bases
Bijective(1)
Signed-digit(balanced ternary)
Mixed(factorial)
Negative
Complex(2i)
Non-integer(φ)
Asymmetric
Sign-value notation
Non-alphabetic
Aegean
Attic
Aztec
Brahmi
Chuvash
Egyptian
Etruscan
Kharosthi
Prehistoric counting
Proto-cuneiform
Roman
Tally marks
Alphabetic
Abjad
Armenian
Alphasyllabic
Akṣarapallī
Āryabhaṭa
Kaṭapayādi
Coptic
Cyrillic
Geʽez
Georgian
Glagolitic
Greek
Hebrew
List of numeral systems
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Numbers written in different numeral systems
A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.
The same sequence of symbols may represent different numbers in different numeral systems. For example, "11" represents the number eleven in the decimal numeral system (today, the most common system globally), the number three in the binary numeral system (used in modern computers), and the number two in the unary numeral system (used in tallying scores).
The number the numeral represents is called its value. Not all number systems can represent the same set of numbers; for example, Roman numerals cannot represent the number zero.
Ideally, a numeral system will:
Represent a useful set of numbers (e.g. all integers, or rational numbers)
Give every number represented a unique representation (or at least a standard representation)
Reflect the algebraic and arithmetic structure of the numbers.
For example, the usual decimal representation gives every nonzero natural number a unique representation as a finite sequence of digits, beginning with a non-zero digit.
Numeral systems are sometimes called number systems, but that name is ambiguous, as it could refer to different systems of numbers, such as the system of real numbers, the system of complex numbers, the system of p-adic numbers, etc. Such systems are, however, not the topic of this article.
A numeralsystem is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or...
you may see question marks, boxes, or other symbols. Roman numerals are a numeralsystem that originated in ancient Rome and remained the usual way of...
Quaternary /kwəˈtɜːrnəri/ is a numeralsystem with four as its base. It uses the digits 0, 1, 2, and 3 to represent any real number. Conversion from binary...
alphabetic numeralsystem is a type of numeralsystem. Developed in classical antiquity, it flourished during the early Middle Ages. In alphabetic numeral systems...
A ternary /ˈtɜːrnəri/ numeralsystem (also called base 3 or trinary) has three as its base. Analogous to a bit, a ternary digit is a trit (trinary digit)...
boxes, or other symbols. Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, are a system of writing numbers using the letters...
A binary number is a number expressed in the base-2 numeralsystem or binary numeralsystem, a method of mathematical expression which uses only two symbols:...
The unary numeralsystem is the simplest numeralsystem to represent natural numbers: to represent a number N, a symbol representing 1 is repeated N times...
asterisk-shaped Etruscan antecedent. Alphabetic numeralsystem – Type of numeralsystem Counting rods – East Asian numeralsystemPages displaying wikidata descriptions...
notation using the numerals, as well as the use of a decimal base, in particular when contrasted with other systems such as Roman numerals. However, the symbols...
figures or symbols denoting a number. It may refer to: Numeralsystem used in mathematics Numeral (linguistics), a part of speech denoting numbers (e.g...
Hindu-Arabic numeralsystem is preferred for higher denominations (such as millions). Most institutions and citizens in India use the Indian number system. The...
numerals is the numeralsystem of the Gujarati script of South Asia, which is a derivative of Devanagari numerals. It is the official numeralsystem of...
basic numerals are commonly organized in a numeralsystem, which is an organized way to represent any number. The most common numeralsystem is the Hindu–Arabic...
A residue numeralsystem (RNS) is a numeralsystem representing integers by their values modulo several pairwise coprime integers called the moduli. This...
(mathematics) Unary numeralsystem (base 1) Tally marks – Numeral form used for counting Binary numeralsystem (base 2) Negative base numeralsystem (base −2) Ternary...
other countries that use the Persian numerals on the Iranian plateau and in Asia. The early Hindu–Arabic numeralsystem used a variety of shapes. It is unknown...
a relation with the Sumerian system. The Babylonian system is credited as being the first known positional numeralsystem, in which the value of a particular...
from Greek. Among the earliest known record of a numeralsystem, is the Sumerian decimal-sexagesimal system on clay tablets dating from the first half of...
The decimal numeralsystem (also called the base-ten positional numeralsystem and denary /ˈdiːnəri/ or decanary) is the standard system for denoting integer...
The system of Hebrew numerals is a quasi-decimal alphabetic numeralsystem using the letters of the Hebrew alphabet. The system was adapted from that...
Numeral or number prefixes are prefixes derived from numerals or occasionally other numbers. In English and many other languages, they are used to coin...
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