Numerals in Unicode
Numerals are characters or sequences of characters that denote a number. The Hindu–Arabic numeral system is used widely in various writing systems throughout the world and all share the same semantics for denoting numbers. However, the graphemes representing the numerals differ widely from one writing system to another. To support these grapheme differences, Unicode includes encodings of these numerals within many of the script blocks. The decimal digits are repeated in 22 separate blocks. In addition to many forms of the Hindu–Arabic numerals, Unicode also includes several less common numerals such as: Aegean numerals, Roman numerals, counting rod numerals, Cuneiform numerals and ancient Greek numerals. There is also a large number of typographical variations of the Arabic numerals provided for specialized mathematical use and for compatibility with earlier character sets, and also composite characters containing Arabic numerals such as ½.
Numerals invariably involve composition of glyphs as a limited number of characters are composed to make other numerals. For example, the sequence 9-9-0 in Arabic numerals composes the numeral for nine hundred ninety. In Roman numerals, the same number is expressed by the composed numeral Ⅹↀ or ⅩⅯ. Each of these is a distinct numeral for representing the same abstract number. The semantics of the numerals differ in particular in their composition. Hindu–Arabic digits are positional-value compositions, while the Roman numerals are sign-value and they are additive and subtractive depending on their composition.
Numerals by numeric property
Grouped by their numerical property as used in a text, Unicode has four values for Numeric Type. First there is the "not a number" type. Then there are decimal-radix numbers, commonly used in Western style decimals, there are numbers that are not part of a decimal system such as Roman numbers, and decimal numbers in typographic context, such as encircled numbers. Not noted is a numbering like "A. B. C." for chapter numbering.Hexadecimal digits
Hexadecimal digits in Unicode are not separate characters; existing letters and numbers are used. These characters have marked Character propertiesHex_digit=Yes, and ASCII_Hex_digit=Yes when appropriate.Numerals by script
Hindu–Arabic numerals
The Hindu–Arabic numeral system involves ten digits representing 0–9. Unicode includes the Western Arabic numerals in the Basic Latin block. The digits are repeated in several other scripts: Eastern Arabic, Balinese, Bengali, Devanagari, Ethiopic, Gujarati, Gurmukhi, Telugu, Khmer, Lao, Limbu, Malayalam, Mongolian, Myanmar, New Tai Lue, Nko, Oriya, Telugu, Thai, Tibetan, Osmanya. Unicode includes a numeric value property for each digit to assist in collation and other text processing operations. However, there is no mapping between the various related digits.Note that although Arabic is written from right to left, while English is written left to right, in both languages numbers are written with the most significant digit on the left and the least significant on the right.
Fractions
The fraction slash character allows authors using Unicode to compose any arbitrary fraction along with the decimal digits. This was intended to instruct font rendering to make the surrounding digits smaller and raise them on the left and lower them on the right, but this is rarely implemented. Unicode also includes a handful of vulgar fractions as compatibility characters, but discourages their use.Decimal fractions
Several characters in Unicode can serve as a decimal separator depending on the locale. Decimal fractions are represented in text as a sequence of decimal digit numerals with a decimal separator separating the whole-number portion from the fractional portion. For example, the decimal fraction for "¼" is expressed as zero-point-two-five. Unicode has no dedicated general decimal separator but unifies the decimal separator function with other punctuation characters. So the "." used in "0.25" is the same period character used to end the sentence. However, cultures vary in the glyph or grapheme used for a decimal separator. So in some locales, the comma may be used instead "0,25". Still other locales use a space for "0 25". The Arabic writing system includes a dedicated character for a decimal separator that looks much like a comma "٫" which when combined with the Arabic digits to express one-quarter appears as: "٠٫٢٥".Characters for mathematical constants
Currently, three Unicode characters semantically represent mathematical constants:, the, and. Other mathematical constants can be represented using characters that have multiple semantic uses. For example, although Unicode includes a character for natural exponent ℯ its UCS canonical name derives from its glyph: ; and the mathematical constant π, 3.141592.., is represented by.Rich text and other compatibility numerals
The Western Arabic numerals also appear among the compatibility characters as rich text variant forms including bold, double-struck, monospace, sans-serif and sans-serif bold. and fullwidth variants for legacy vertical text support.Rich text parenthesized, circled and other variants are also included in the blocks: Enclosed CJK Letters and Months; Enclosed Alphanumerics, Superscripts and Subscripts; Number Forms; and Dingbats.
CJK Suzhou (huāmǎ) numerals
The huāmǎ system is a variation of the rod numeral system. Rod numerals are closely related to the counting rods and the abacus, which is why the numeric symbols for 1, 2, 3, 6, 7 and 8 in the huāmǎ system are represented in a similar way as on the abacus. Nowadays, the huāmǎ system is only used for displaying prices in Chinese markets or on traditional handwritten invoices.Suzhou (huāmǎ) numerals in Unicode
According to the Unicode standard version 3.0, these characters are called Hangzhou style numerals. This indicates that it is not used only by Cantonese in Hong Kong. In the Unicode standard 4.0, an erratum was added which stated:The digits of the Suzhou numerals are designated in the CJK Symbols and Punctuation block between U+3021 and U+3029, U+3007, U+5341, U+5344, and. U+5345.
Japanese and Korean numerals
Ancient Greek numerals
Unicode provides support for several variants of Greek numerals, assigned to the Supplementary Multilingual Plane from U+10140 through U+1018F.Attic numerals were used by ancient Greeks, possibly from the 7th century BC. They were also known as Herodianic numerals because they were first described in a 2nd-century manuscript by Herodian. They are also known as acrophonic numerals because all of the symbols used derive from the first letters of the words that the symbols represent: 'one', 'five', 'ten', 'hundred', 'thousand' and 'ten thousand'. See Greek numerals and acrophony.
| Decimal | Symbol | Greek numeral |
| 1 | Ι | ἴος or ἰός |
| 5 | Π | πέντε |
| 10 | Δ | δέκα |
| 100 | Η | ἑκατόν |
| 1000 | Χ | χίλιοι |
| 10000 | Μ | μύριοι |
Roman numerals
originated in ancient Rome, adapted from Etruscan numerals. The system used in classical antiquity was slightly modified in the Middle Ages to produce the system we use today. It is based on certain letters which are given values as numerals.Roman numerals are commonly used today in numbered lists, clockfaces, pages preceding the main body of a book, chord triads in music analysis, the numbering of movie and video game sequels, book publication dates, successive political leaders or children with identical names, and the numbering of some sport events, such as the Olympic Games or the Super Bowl.
Unicode has a number of characters specifically designated as Roman numerals, as part of the Number Forms range from U+2160 to U+2188. This range includes both upper- and lowercase numerals, as well as pre-combined characters for numbers up to 12. One reason for the existence of pre-combined numbers is to facilitate the setting of multiple-letter numbers on a single horizontal line in Asian vertical text. The Unicode standard, however, includes special Roman numeral code points for compatibility only, stating that "or most purposes, it is preferable to compose the Roman numerals from sequences of the appropriate Latin letters".
Additionally, characters exist for archaic forms of 1000, 5000, 10,000, large reversed C, late 6, early 50, 50,000, and 100,000. Note that the small reversed c, ↄ, is not intended to be used in Roman numerals, but as lower case Claudian letter Ↄ.
If using blackletter or script typefaces, Roman numerals are set in Roman type. Such typefaces may contain Roman numerals matching the style of the typeface in the Unicode range U+2160–217F; if they don't exist, a matching Antiqua typeface is used for Roman numerals.
Unicode has characters for Roman fractions in the Ancient Symbols block: sextans, uncia, semuncia, sextula, dimidia sextula, siliqua, and as.
Counting rod numerals
| Value | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Vertical | ||||||||||
| Horizontal |
The vertical rods are usually for even powers of ten and the horizontal for odd powers. For example, 126 is represented by
instead of , which could be confused with 36. Historically, red rods were used for positive numbers and black rods for negative numbers.