Step 1: Determine the UTF-8 encoding bit layout
The character ∰ has the Unicode code point U+2230. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of
0x0800
to0xffff
.
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 thex
are 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+2230 to binary:
00100010 00110000
. 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 10110000
VOLUME INTEGRAL·U+2230
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 88 B0 | 11100010 10001000 10110000 |
UTF16 (big Endian) | 22 30 | 00100010 00110000 |
UTF16 (little Endian) | 30 22 | 00110000 00100010 |
UTF32 (big Endian) | 00 00 22 30 | 00000000 00000000 00100010 00110000 |
UTF32 (little Endian) | 30 22 00 00 | 00110000 00100010 00000000 00000000 |
Description
The Unicode character U+2230, known as the Volume Integral (∫), plays a crucial role in mathematical expressions and scientific notations. As an integral sign, it represents the process of calculating the accumulated value of a function over a particular interval or range. Its typical usage lies within the realms of calculus and differential geometry, where it denotes integration - the fundamental concept used to calculate areas under curves, lengths of curves in three-dimensional spaces, and volumes of solids of revolution. The Volume Integral is widely used in various branches of science and engineering, including physics, chemistry, and computer graphics. It is also employed in software applications for programming and coding, where it helps express mathematical algorithms concisely and accurately. Despite its technical nature, the Volume Integral has no notable cultural or linguistic context associated with it, but it remains an indispensable tool for scientists and mathematicians worldwide.
How to type the ∰ symbol on Windows
Hold Alt and type 8752 on the numpad. Or use Character Map.