Step 1: Determine the UTF-8 encoding bit layout
The character ≀ has the Unicode code point U+2240. 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+2240 to binary:
00100010 01000000
. 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 10001001 10000000
WREATH PRODUCT·U+2240
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 89 80 | 11100010 10001001 10000000 |
UTF16 (big Endian) | 22 40 | 00100010 01000000 |
UTF16 (little Endian) | 40 22 | 01000000 00100010 |
UTF32 (big Endian) | 00 00 22 40 | 00000000 00000000 00100010 01000000 |
UTF32 (little Endian) | 40 22 00 00 | 01000000 00100010 00000000 00000000 |
Description
The Unicode character U+2240, known as the WREATH PRODUCT, plays a significant role in digital text by representing the mathematical operation of taking the product of two binary numbers in the form of a wreath. This unique symbol is primarily used within computer science and mathematics fields to denote this particular operation. The WREATH PRODUCT is derived from the concept of wreath transformations, which are essential tools for understanding properties of finite groups and their representations. This character's inclusion in the Unicode standard enhances the accuracy and consistency of digital text across various platforms and languages, making it easier for researchers and professionals in these fields to communicate complex ideas and findings with greater precision.
How to type the ≀ symbol on Windows
Hold Alt and type 8768 on the numpad. Or use Character Map.