Step 1: Determine the UTF-8 encoding bit layout
The character ∂ has the Unicode code point U+2202. 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+2202 to binary:
00100010 00000010. 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 10000010
PARTIAL DIFFERENTIAL·U+2202
∂
Character Information
Code Point
U+2202
HEX
2202
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 82 | 11100010 10001000 10000010 |
| UTF16 (big Endian) | 22 02 | 00100010 00000010 |
| UTF16 (little Endian) | 02 22 | 00000010 00100010 |
| UTF32 (big Endian) | 00 00 22 02 | 00000000 00000000 00100010 00000010 |
| UTF32 (little Endian) | 02 22 00 00 | 00000010 00100010 00000000 00000000 |
HTML Entity
∂
URI Encoded
%E2%88%82
Description
The Unicode character U+2202 is known as the Partial Differential (∇). It plays a pivotal role in digital text, particularly within the realms of mathematics, physics, and engineering. This character represents a vector operator that signifies the change in a scalar function over a change in position along a certain direction or path. Its usage is widespread in differential equations, where it helps quantify the rate at which quantities change in response to changes in other variables. The Partial Differential is also significant in fields such as fluid dynamics and electromagnetism, where it is used to analyze relationships between dependent and independent variables. Although this character does not have any specific cultural, linguistic, or technical context beyond its mathematical applications, it remains an indispensable tool for scientists, mathematicians, and engineers around the world.
How to type the ∂ symbol on Windows
Hold Alt and type 8706 on the numpad. Or use Character Map.