Step 1: Determine the UTF-8 encoding bit layout
The character ⅓ has the Unicode code point U+2153. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of
0x0800
to0xffff
.
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 thex
are 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+2153 to binary:
00100001 01010011
. 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 10010011
VULGAR FRACTION ONE THIRD·U+2153
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 85 93 | 11100010 10000101 10010011 |
UTF16 (big Endian) | 21 53 | 00100001 01010011 |
UTF16 (little Endian) | 53 21 | 01010011 00100001 |
UTF32 (big Endian) | 00 00 21 53 | 00000000 00000000 00100001 01010011 |
UTF32 (little Endian) | 53 21 00 00 | 01010011 00100001 00000000 00000000 |
Description
The Unicode character U+2153 represents the Vulgar Fraction One Third (⅔) in digital text. This symbol is widely used in various mathematical equations, recipes, and scientific notations to depict one-third of a whole or fractional components. In terms of cultural, linguistic, and technical contexts, the Vulgar Fraction One Third has been a crucial component in many ancient and modern civilizations where a deep understanding of fractions was essential for trade, agriculture, and construction purposes. Its inclusion in the Unicode standard ensures that this symbol can be accurately represented and utilized across different digital platforms and software applications worldwide. By providing accurate information on the usage and role of U+2153, we aim to enhance users' knowledge of typography and Unicode characters, promoting precision and clarity in digital communication.
How to type the ⅓ symbol on Windows
Hold Alt and type 8531 on the numpad. Or use Character Map.