Step 1: Determine the UTF-8 encoding bit layout
The character ∯ has the Unicode code point U+222F. 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+222F to binary:
00100010 00101111. 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 10101111
SURFACE INTEGRAL·U+222F
∯
Character Information
Code Point
U+222F
HEX
222F
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 AF | 11100010 10001000 10101111 |
| UTF16 (big Endian) | 22 2F | 00100010 00101111 |
| UTF16 (little Endian) | 2F 22 | 00101111 00100010 |
| UTF32 (big Endian) | 00 00 22 2F | 00000000 00000000 00100010 00101111 |
| UTF32 (little Endian) | 2F 22 00 00 | 00101111 00100010 00000000 00000000 |
HTML Entity
∯
URI Encoded
%E2%88%AF
Description
The Unicode character U+222F, known as the Surface Integral, is a mathematical symbol primarily used in digital texts related to calculus and advanced mathematics. It represents the double integral of a function over a surface in three-dimensional space. This symbol holds great significance in mathematical literature, particularly in fields that require an understanding of multivariable calculus and differential geometry. Its primary usage is within mathematical equations and diagrams where it helps in representing complex calculations involving integrals. While the Surface Integral may not have a direct cultural or linguistic context, it plays a vital role in various technical disciplines like physics, engineering, and computer science, where advanced mathematical concepts are applied.
How to type the ∯ symbol on Windows
Hold Alt and type 8751 on the numpad. Or use Character Map.