Step 1: Determine the UTF-8 encoding bit layout
The character ℇ has the Unicode code point U+2107. 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+2107 to binary:
00100001 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 10000100 10000111
EULER CONSTANT·U+2107
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 84 87 | 11100010 10000100 10000111 |
UTF16 (big Endian) | 21 07 | 00100001 00000111 |
UTF16 (little Endian) | 07 21 | 00000111 00100001 |
UTF32 (big Endian) | 00 00 21 07 | 00000000 00000000 00100001 00000111 |
UTF32 (little Endian) | 07 21 00 00 | 00000111 00100001 00000000 00000000 |
Description
The Unicode character U+2107, known as the Euler Constant, is an important mathematical symbol with a unique typographic representation. This constant represents the base of the natural logarithm, e (approximately equal to 2.71828), and is fundamental in many areas of mathematics, including calculus and statistics. Its typical usage in digital text involves representing this mathematical constant in contexts where precise mathematical expressions are required, such as in scientific documents, mathematical software, and computer programming. The Euler Constant has cultural, linguistic, and technical significance as it was named after the Swiss mathematician Leonhard Euler, one of the most prolific mathematicians in history. The character U+2107 is part of the Unicode Standard, a coding system that designates every character, symbol, and emoji used in digital text across different languages and platforms, enabling global communication and understanding.
How to type the ℇ symbol on Windows
Hold Alt and type 8455 on the numpad. Or use Character Map.