Step 1: Determine the UTF-8 encoding bit layout
The character ∑ has the Unicode code point U+2211. 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+2211 to binary:
00100010 00010001. 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 10010001
N-ARY SUMMATION·U+2211
∑
Character Information
Code Point
U+2211
HEX
2211
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 91 | 11100010 10001000 10010001 |
| UTF16 (big Endian) | 22 11 | 00100010 00010001 |
| UTF16 (little Endian) | 11 22 | 00010001 00100010 |
| UTF32 (big Endian) | 00 00 22 11 | 00000000 00000000 00100010 00010001 |
| UTF32 (little Endian) | 11 22 00 00 | 00010001 00100010 00000000 00000000 |
HTML Entity
∑
URI Encoded
%E2%88%91
Description
U+2211, the N-ary Summation character, is a crucial figure in digital text, particularly within mathematical expressions. Its primary function is to denote the summation of an expression for n terms, where n is an integer or a variable. This symbol is commonly employed in various fields such as computer science, engineering, and physics to represent complex calculations and algorithms. The N-ary Summation character holds significant importance in the mathematical representation of combinatorics, probability theory, and other advanced disciplines. In contrast to its binary counterpart (U+2212), which signifies summation for two terms only, U+2211 extends the scope of calculations by accommodating n terms, offering a broader range of possibilities in problem-solving and computational analysis.
How to type the ∑ symbol on Windows
Hold Alt and type 8721 on the numpad. Or use Character Map.