Step 1: Determine the UTF-8 encoding bit layout
The character ∼ has the Unicode code point U+223C. 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+223C to binary:
00100010 00111100
. 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 10001000 10111100
TILDE OPERATOR·U+223C
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 88 BC | 11100010 10001000 10111100 |
UTF16 (big Endian) | 22 3C | 00100010 00111100 |
UTF16 (little Endian) | 3C 22 | 00111100 00100010 |
UTF32 (big Endian) | 00 00 22 3C | 00000000 00000000 00100010 00111100 |
UTF32 (little Endian) | 3C 22 00 00 | 00111100 00100010 00000000 00000000 |
Description
The Tilde Operator (U+223C) is a lesser-known mathematical symbol in the Unicode Standard, primarily used in digital text for representing a non-standard binary operation called "tilde multiplication." Its role lies in the realm of theoretical computer science and mathematics, particularly in the study of non-commutative algebras. The Tilde Operator is often employed when discussing topics such as Lie algebras, operator algebras, and Clifford algebras, where it signifies a specific type of product that is different from the more commonly used multiplication or dot product operations. While its usage may be less prevalent in everyday digital text compared to other mathematical symbols, the Tilde Operator plays an important role in specialized fields of study, emphasizing the vast diversity and utility of the Unicode Standard.
How to type the ∼ symbol on Windows
Hold Alt and type 8764 on the numpad. Or use Character Map.