DOUBLE-STRUCK N-ARY SUMMATION·U+2140

Character Information

Code Point
U+2140
HEX
2140
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 85 80
11100010 10000101 10000000
UTF16 (big Endian)
21 40
00100001 01000000
UTF16 (little Endian)
40 21
01000000 00100001
UTF32 (big Endian)
00 00 21 40
00000000 00000000 00100001 01000000
UTF32 (little Endian)
40 21 00 00
01000000 00100001 00000000 00000000
HTML Entity
⅀
URI Encoded
%E2%85%80

Description

The Unicode character U+2140, known as the Double-struck N-ary Summation (⨺), is a mathematical symbol that represents the sum of a series. It is typically utilized in digital text to denote the summation of an infinite or finite sequence of terms within a specific context. The character's double-struck style provides visual distinction and clarity, making it easily distinguishable from other symbols used in mathematics and computer science. This character is essential for accurate representation in various fields that require precise communication, such as mathematical notation, engineering, and computer programming. It enables readers to quickly grasp the intended concept without confusion or ambiguity.

How to type the symbol on Windows

Hold Alt and type 8512 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+2140. 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+2140 to binary: 00100001 01000000. 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 10000101 10000000