Step 1: Determine the UTF-8 encoding bit layout
The character ∱ has the Unicode code point U+2231. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of
0x0800to0xffff.
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 thexare 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+2231 to binary:
00100010 00110001. 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 10001000 10110001
CLOCKWISE INTEGRAL·U+2231
∱
Character Information
Code Point
U+2231
HEX
2231
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 B1 | 11100010 10001000 10110001 |
| UTF16 (big Endian) | 22 31 | 00100010 00110001 |
| UTF16 (little Endian) | 31 22 | 00110001 00100010 |
| UTF32 (big Endian) | 00 00 22 31 | 00000000 00000000 00100010 00110001 |
| UTF32 (little Endian) | 31 22 00 00 | 00110001 00100010 00000000 00000000 |
HTML Entity
∱
URI Encoded
%E2%88%B1
Description
The Unicode character U+2231, known as the Clockwise Integral, is a mathematically significant symbol used primarily in digital text. It serves to indicate a counter-clockwise integral in mathematical equations and geometric representations. Typically employed in fields like calculus and complex analysis, it conveys the concept of integrating over a path that traverses a closed curve in a counter-clockwise direction. This character is particularly useful for accurately representing problems involving multivariable functions or parameterized curves, as well as in various branches of engineering and physics where rotational properties are involved. Although not as widely used as other mathematical symbols, the Clockwise Integral plays a crucial role in advanced mathematical contexts, providing clarity and precision to complex concepts.
How to type the ∱ symbol on Windows
Hold Alt and type 8753 on the numpad. Or use Character Map.