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
to0xffff
.
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 thex
are the payload bits.UTF-8 Encoding bit layout by codepoint range Codepoint Range Bytes Bit pattern Payload length U+0000 - U+007F 1 0xxxxxxx 7 bits U+0080 - U+07FF 2 110xxxxx 10xxxxxx 11 bits U+0800 - U+FFFF 3 1110xxxx 10xxxxxx 10xxxxxx 16 bits U+10000 - U+10FFFF 4 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx 21 bits Step 2: Obtain the payload bits:
Convert the hexadecimal code point U+2299 to binary:
00100010 10011001
. Those are the payload bits.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
CIRCLED DOT OPERATOR·U+2299
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
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 |
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.