TILDE OPERATOR·U+223C

Character Information

Code Point
U+223C
HEX
223C
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
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
HTML Entity
∼
URI Encoded
%E2%88%BC

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.

  1. 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 to 0xffff.

    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 the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+223C to binary: 00100010 00111100. Those are the payload bits.

  3. 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