EULER CONSTANT·U+2107

Character Information

Code Point
U+2107
HEX
2107
Unicode Plane
Basic Multilingual Plane
Category
Uppercase Letter

Character Representations

Click elements to copy
EncodingHexBinary
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
HTML Entity
ℇ
URI Encoded
%E2%84%87

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 symbol on Windows

Hold Alt and type 8455 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character 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 to 0xffff.

    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 the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+2107 to binary: 00100001 00000111. Those are the payload bits.

  3. 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