Step 1: Determine the UTF-8 encoding bit layout
The character ⎳ has the Unicode code point U+23B3. 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+23B3 to binary:
00100011 10110011
. 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 10001110 10110011
SUMMATION BOTTOM·U+23B3
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 8E B3 | 11100010 10001110 10110011 |
UTF16 (big Endian) | 23 B3 | 00100011 10110011 |
UTF16 (little Endian) | B3 23 | 10110011 00100011 |
UTF32 (big Endian) | 00 00 23 B3 | 00000000 00000000 00100011 10110011 |
UTF32 (little Endian) | B3 23 00 00 | 10110011 00100011 00000000 00000000 |
Description
The Unicode character U+23B3 is known as the Summation Bottom symbol. In a mathematical context, this character is primarily used in digital text to represent the bottom part of the summation symbol (S), indicating the beginning and end points of a series or sequence being summed. It serves an important role in various disciplines such as mathematics, computer science, and engineering, where it helps to express complex mathematical equations and algorithms more effectively. The Summation Bottom symbol, along with its counterpart U+23B4 (Summation Top), is essential for the accurate representation of summation notation, a crucial concept in calculus, series expansions, and other areas of mathematics. Its clear and concise visual presentation helps to reduce misinterpretation and promotes efficient communication of mathematical concepts in digital text.
How to type the ⎳ symbol on Windows
Hold Alt and type 9139 on the numpad. Or use Character Map.