CLOCKWISE CONTOUR INTEGRAL·U+2232

Character Information

Code Point
U+2232
HEX
2232
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 88 B2
11100010 10001000 10110010
UTF16 (big Endian)
22 32
00100010 00110010
UTF16 (little Endian)
32 22
00110010 00100010
UTF32 (big Endian)
00 00 22 32
00000000 00000000 00100010 00110010
UTF32 (little Endian)
32 22 00 00
00110010 00100010 00000000 00000000
HTML Entity
∲
URI Encoded
%E2%88%B2

Description

The Unicode character U+2232, known as the Clockwise Contour Integral, plays a significant role in digital text, particularly within mathematical expressions and symbolic notations. It represents an integral along a closed curve that is traced out by a moving point in space, where the motion of the point must be clockwise with respect to the reference point on the curve. This character is critical in fields such as engineering, physics, and computer science, where mathematical descriptions of shapes and processes are crucial for accurate communication and documentation. The Clockwise Contour Integral has no specific cultural, linguistic, or technical context beyond its utility in representing a specific mathematical concept. Its usage underscores the power of Unicode to facilitate clear and precise communication across various disciplines and languages.

How to type the symbol on Windows

Hold Alt and type 8754 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+2232. 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+2232 to binary: 00100010 00110010. 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 10001000 10110010