Step 1: Determine the UTF-8 encoding bit layout
The character ⊲ has the Unicode code point U+22B2. 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+22B2 to binary:
00100010 10110010
. 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 10001010 10110010
NORMAL SUBGROUP OF·U+22B2
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 8A B2 | 11100010 10001010 10110010 |
UTF16 (big Endian) | 22 B2 | 00100010 10110010 |
UTF16 (little Endian) | B2 22 | 10110010 00100010 |
UTF32 (big Endian) | 00 00 22 B2 | 00000000 00000000 00100010 10110010 |
UTF32 (little Endian) | B2 22 00 00 | 10110010 00100010 00000000 00000000 |
Description
The Unicode character U+22B2, known as the "Normal Subgroup of" symbol (ℬ), plays a significant role in digital text, particularly within the realm of algebra and set theory. This mathematical symbol is used to denote a normal subgroup in abstract algebra, specifically when referring to the properties of groups under specific conditions. It highlights the importance of subgroups within a group structure and their connection to the overall group's characteristics. The usage of U+22B2 contributes to precise and accurate communication among mathematicians, researchers, and those studying advanced mathematical concepts. While its application may be niche, the "Normal Subgroup of" symbol holds a vital place in digital text for those working within the realms of algebra, group theory, and related fields.
How to type the ⊲ symbol on Windows
Hold Alt and type 8882 on the numpad. Or use Character Map.