Step 1: Determine the UTF-8 encoding bit layout
The character ∇ has the Unicode code point U+2207. 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+2207 to binary:
00100010 00000111. 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 10000111
NABLA·U+2207
∇
Character Information
Code Point
U+2207
HEX
2207
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 87 | 11100010 10001000 10000111 |
| UTF16 (big Endian) | 22 07 | 00100010 00000111 |
| UTF16 (little Endian) | 07 22 | 00000111 00100010 |
| UTF32 (big Endian) | 00 00 22 07 | 00000000 00000000 00100010 00000111 |
| UTF32 (little Endian) | 07 22 00 00 | 00000111 00100010 00000000 00000000 |
HTML Entity
∇
URI Encoded
%E2%88%87
Description
The Unicode character U+2207, known as the Nabla symbol (∇), is a mathematical notation primarily used in digital texts for denoting a continuous change in a function. It originates from the Greek letter nu (ν) and is often employed in various branches of mathematics, particularly in calculus, to represent the rate of change or derivative of a function. The Nabla symbol also appears in the context of physics and engineering, where it denotes the del operator used in vector analysis. Its usage extends beyond mathematics into computer programming languages and algorithms involving functions and changes. While the Nabla symbol is not culture-specific, its Greek origin provides a link to ancient mathematical concepts that have since been adopted worldwide.
How to type the ∇ symbol on Windows
Hold Alt and type 8711 on the numpad. Or use Character Map.