DIAMOND OPERATOR·U+22C4

Character Information

Code Point
U+22C4
HEX
22C4
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 8B 84
11100010 10001011 10000100
UTF16 (big Endian)
22 C4
00100010 11000100
UTF16 (little Endian)
C4 22
11000100 00100010
UTF32 (big Endian)
00 00 22 C4
00000000 00000000 00100010 11000100
UTF32 (little Endian)
C4 22 00 00
11000100 00100010 00000000 00000000
HTML Entity
⋄
URI Encoded
%E2%8B%84

Description

The Unicode character U+22C4, known as the Diamond Operator (⋄), plays a significant role in digital text, particularly within mathematical expressions and symbolic logic. This symbol is used to represent both the "subset" or "element of" operation in formal set theory and predicate logic, indicating that one set is entirely contained within another, or that an element belongs to a specific set. The Diamond Operator can also be found in computer programming languages, where it serves as a bitwise XOR operator that performs a bitwise exclusive OR operation on two binary numbers. This character is widely used across various programming and mathematical contexts due to its ability to concisely convey complex relationships between sets or elements, contributing to accurate and efficient communication of information.

How to type the symbol on Windows

Hold Alt and type 8900 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+22C4. 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+22C4 to binary: 00100010 11000100. 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 10001011 10000100