Step 1: Determine the UTF-8 encoding bit layout
The character ⋌ has the Unicode code point U+22CC. 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+22CC to binary:
00100010 11001100
. 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 10001011 10001100
RIGHT SEMIDIRECT PRODUCT·U+22CC
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 8B 8C | 11100010 10001011 10001100 |
UTF16 (big Endian) | 22 CC | 00100010 11001100 |
UTF16 (little Endian) | CC 22 | 11001100 00100010 |
UTF32 (big Endian) | 00 00 22 CC | 00000000 00000000 00100010 11001100 |
UTF32 (little Endian) | CC 22 00 00 | 11001100 00100010 00000000 00000000 |
Description
The Unicode character U+22CC, also known as the Right Semidirect Product symbol, plays a significant role in digital text, particularly in mathematics and computer science. It represents the right semidirect product of two groups, which is an operation that combines the concepts of direct product and semidirect product. This character is crucial for accurately conveying mathematical expressions and proofs, as well as for communicating complex ideas in group theory, a branch of abstract algebra. Although U+22CC might not be widely recognized by the general public, it holds immense value within the specialized communities that rely on accurate typographical representation to advance scientific understanding and knowledge.
How to type the ⋌ symbol on Windows
Hold Alt and type 8908 on the numpad. Or use Character Map.