VULGAR FRACTION FOUR FIFTHS·U+2158

Character Information

Code Point
U+2158
HEX
2158
Unicode Plane
Basic Multilingual Plane
Category
Other Number

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 85 98
11100010 10000101 10011000
UTF16 (big Endian)
21 58
00100001 01011000
UTF16 (little Endian)
58 21
01011000 00100001
UTF32 (big Endian)
00 00 21 58
00000000 00000000 00100001 01011000
UTF32 (little Endian)
58 21 00 00
01011000 00100001 00000000 00000000
HTML Entity
⅘
URI Encoded
%E2%85%98

Description

The character U+2158, known as VULGAR FRACTION FOUR FIFTHS, is a crucial element in digital text representation for mathematical expressions. It plays an indispensable role in expressing ratios and fractions accurately within digital documents and websites. This character helps convey the specific fraction of "four-fifths," which is frequently used in various mathematical contexts such as cooking, engineering, or science. The VULGAR FRACTION FOUR FIFTHS symbol stands out for its distinct appearance, which visually distinguishes it from similar symbols like the vulgar fraction one-half (U+2155) and vulgar fraction one-third (U+2157). Despite its name suggesting a connection to vulgarity, "vulgar" in this context refers to early medieval manuscripts where these fractions were commonly used by merchants and craftsmen. The character's prominence in digital typography ensures that accurate mathematical expressions can be conveyed effortlessly across devices and platforms, aiding communication and understanding within various fields of study.

How to type the symbol on Windows

Hold Alt and type 8536 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+2158. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format: 1110xxxx 10xxxxxx 10xxxxxx
    Where the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+2158 to binary: 00100001 01011000. Those are the payload bits.

  3. Step 3: Fill in the bits to match the bit pattern:

    Obtain the final bytes by arranging the paylod bits to match the bit layout:
    11100010 10000101 10011000