WREATH PRODUCT·U+2240

Character Information

Code Point
U+2240
HEX
2240
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 89 80
11100010 10001001 10000000
UTF16 (big Endian)
22 40
00100010 01000000
UTF16 (little Endian)
40 22
01000000 00100010
UTF32 (big Endian)
00 00 22 40
00000000 00000000 00100010 01000000
UTF32 (little Endian)
40 22 00 00
01000000 00100010 00000000 00000000
HTML Entity
≀
URI Encoded
%E2%89%80

Description

The Unicode character U+2240, known as the WREATH PRODUCT, plays a significant role in digital text by representing the mathematical operation of taking the product of two binary numbers in the form of a wreath. This unique symbol is primarily used within computer science and mathematics fields to denote this particular operation. The WREATH PRODUCT is derived from the concept of wreath transformations, which are essential tools for understanding properties of finite groups and their representations. This character's inclusion in the Unicode standard enhances the accuracy and consistency of digital text across various platforms and languages, making it easier for researchers and professionals in these fields to communicate complex ideas and findings with greater precision.

How to type the symbol on Windows

Hold Alt and type 8768 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+2240. 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+2240 to binary: 00100010 01000000. 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 10001001 10000000