Step 1: Determine the UTF-8 encoding bit layout
The character ⅖ has the Unicode code point U+2156. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of
0x0800to0xffff.
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 thexare the payload bits.UTF-8 Encoding bit layout by codepoint range Codepoint Range Bytes Bit pattern Payload length U+0000 - U+007F 1 0xxxxxxx 7 bits U+0080 - U+07FF 2 110xxxxx 10xxxxxx 11 bits U+0800 - U+FFFF 3 1110xxxx 10xxxxxx 10xxxxxx 16 bits U+10000 - U+10FFFF 4 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx 21 bits Step 2: Obtain the payload bits:
Convert the hexadecimal code point U+2156 to binary:
00100001 01010110. Those are the payload bits.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 10010110
VULGAR FRACTION TWO FIFTHS·U+2156
⅖
Character Information
Code Point
U+2156
HEX
2156
Unicode Plane
Basic Multilingual Plane
Category
Other Number
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 85 96 | 11100010 10000101 10010110 |
| UTF16 (big Endian) | 21 56 | 00100001 01010110 |
| UTF16 (little Endian) | 56 21 | 01010110 00100001 |
| UTF32 (big Endian) | 00 00 21 56 | 00000000 00000000 00100001 01010110 |
| UTF32 (little Endian) | 56 21 00 00 | 01010110 00100001 00000000 00000000 |
HTML Entity
⅖
URI Encoded
%E2%85%96
Description
U+2156 is the Unicode character code for the Vulgar Fraction Two Fifths symbol (⁶⁄₁⁰), commonly used in digital text to represent a specific fractional value. This character plays a vital role in mathematics, particularly in areas requiring precise notation of fractions and ratios. It is derived from the traditional "vulgar" or common fractions system, which differs from the "continued" or "sexagesimal" fraction notation often used in modern mathematics and computing contexts. The Vulgar Fraction Two Fifths symbol holds cultural significance as it reflects the historical evolution of mathematical notation and symbolism, showcasing the evolution of human knowledge and intellectual development over time. Its use highlights an adherence to traditional methods or a specific stylistic choice in digital text, making it an important tool for scholars, historians, and enthusiasts of typography and mathematics alike.
How to type the ⅖ symbol on Windows
Hold Alt and type 8534 on the numpad. Or use Character Map.