Step 1: Determine the UTF-8 encoding bit layout
The character ∮ has the Unicode code point U+222E. 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+222E to binary:
00100010 00101110. 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 10101110
CONTOUR INTEGRAL·U+222E
∮
Character Information
Code Point
U+222E
HEX
222E
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 AE | 11100010 10001000 10101110 |
| UTF16 (big Endian) | 22 2E | 00100010 00101110 |
| UTF16 (little Endian) | 2E 22 | 00101110 00100010 |
| UTF32 (big Endian) | 00 00 22 2E | 00000000 00000000 00100010 00101110 |
| UTF32 (little Endian) | 2E 22 00 00 | 00101110 00100010 00000000 00000000 |
HTML Entity
∮
URI Encoded
%E2%88%AE
Description
The Unicode character U+222E, known as the Contour Integral, is a mathematical symbol commonly employed in digital text related to calculus and related fields of mathematics. It represents the integral sign with a contour line running through it, visually indicating that a particular calculation or series involves a contour integral or line integral. While this character may not be as widely recognized as other mathematical symbols, it plays an important role in specific disciplines, particularly in the context of differential geometry and topology where contour integrals are used to define concepts such as curvature and torsion. It is an essential tool for mathematicians, engineers, and scientists who require a precise way to express these integral types in their work.
How to type the ∮ symbol on Windows
Hold Alt and type 8750 on the numpad. Or use Character Map.