CIRCLED RING OPERATOR·U+229A

Character Information

Code Point
U+229A
HEX
229A
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 8A 9A
11100010 10001010 10011010
UTF16 (big Endian)
22 9A
00100010 10011010
UTF16 (little Endian)
9A 22
10011010 00100010
UTF32 (big Endian)
00 00 22 9A
00000000 00000000 00100010 10011010
UTF32 (little Endian)
9A 22 00 00
10011010 00100010 00000000 00000000
HTML Entity
⊚
URI Encoded
%E2%8A%9A

Description

The Unicode character U+229A, known as the Circled Ring Operator, is a mathematical symbol primarily employed in digital text for its unique role as an operator. It functions similarly to other mathematical operators such as multiplication or division; however, it specifically represents the operation of raising a number to the power of -1. The symbol is particularly useful when dealing with complex numbers and their properties within mathematics, where it demonstrates how a negative sign can change the sign of a number when raised to an exponent. Although not as widely recognized or utilized as other mathematical symbols, the Circled Ring Operator holds significance in various technical contexts, particularly within mathematics and computer science. Its distinctive design – a circle with an 'x' inside – adds visual clarity and separates it from other similar operators. It is important to note that the character's role is purely technical; it does not have any notable cultural or linguistic context. The Circled Ring Operator is part of the Unicode standard, ensuring its compatibility across different platforms and devices, facilitating clear communication within digital text for users worldwide. Its inclusion in this widely accepted standard underscores its importance as a specialized tool in mathematical and technical discourse.

How to type the symbol on Windows

Hold Alt and type 8858 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+229A. 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+229A to binary: 00100010 10011010. 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 10001010 10011010