Step 1: Determine the UTF-8 encoding bit layout
The character ⊹ has the Unicode code point U+22B9. 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+22B9 to binary:
00100010 10111001
. 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 10111001
HERMITIAN CONJUGATE MATRIX·U+22B9
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 8A B9 | 11100010 10001010 10111001 |
UTF16 (big Endian) | 22 B9 | 00100010 10111001 |
UTF16 (little Endian) | B9 22 | 10111001 00100010 |
UTF32 (big Endian) | 00 00 22 B9 | 00000000 00000000 00100010 10111001 |
UTF32 (little Endian) | B9 22 00 00 | 10111001 00100010 00000000 00000000 |
Description
The Unicode character U+22B9, known as the Hermitian Conjugate Matrix symbol, is a critical mathematical representation in linear algebra and quantum mechanics. It plays a significant role in digital text, primarily for mathematicians, physicists, and engineers who work with complex matrices. In a complex matrix context, this character denotes the hermitian conjugate of a given matrix, which is crucial for understanding various properties of that matrix, such as its eigenvalues and eigenvectors. The Hermitian Conjugate Matrix symbol is also indispensable in quantum mechanics to describe physical phenomena where the state vectors are represented by complex-valued matrices. As part of the broader Unicode character set, U+22B9 contributes to the precision and clarity of mathematical expressions across various digital platforms and applications, ensuring accurate communication among professionals in these fields.
How to type the ⊹ symbol on Windows
Hold Alt and type 8889 on the numpad. Or use Character Map.