CIRCLED DOT OPERATOR·U+2299

Character Information

Code Point
U+2299
HEX
2299
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 8A 99
11100010 10001010 10011001
UTF16 (big Endian)
22 99
00100010 10011001
UTF16 (little Endian)
99 22
10011001 00100010
UTF32 (big Endian)
00 00 22 99
00000000 00000000 00100010 10011001
UTF32 (little Endian)
99 22 00 00
10011001 00100010 00000000 00000000
HTML Entity
⊙
URI Encoded
%E2%8A%99

Description

The Unicode character U+2299, known as the Circled Dot Operator, is an essential symbol in the world of mathematics and digital text. It primarily serves to distinguish certain mathematical operations from others when they are represented by symbols that might otherwise look similar. Its typical usage is to signify the derivative operation in differential equations or calculus. For example, while the standard dot operator (U+02D9) represents the dot multiplication or the product of two numbers, the Circled Dot Operator indicates that the operation being performed is differentiation, a crucial process in various scientific and mathematical fields. It's important to note that this character isn't just limited to these uses; its versatility makes it useful across different domains for distinguishing unique operations or symbols when needed. The Circled Dot Operator has no known cultural or linguistic significance beyond its technical use in mathematics and digital text.

How to type the symbol on Windows

Hold Alt and type 8857 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+2299. 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+2299 to binary: 00100010 10011001. 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 10011001