Step 1: Determine the UTF-8 encoding bit layout
The character ⨿ has the Unicode code point U+2A3F. 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+2A3F to binary:
00101010 00111111
. 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 10101000 10111111
AMALGAMATION OR COPRODUCT·U+2A3F
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 A8 BF | 11100010 10101000 10111111 |
UTF16 (big Endian) | 2A 3F | 00101010 00111111 |
UTF16 (little Endian) | 3F 2A | 00111111 00101010 |
UTF32 (big Endian) | 00 00 2A 3F | 00000000 00000000 00101010 00111111 |
UTF32 (little Endian) | 3F 2A 00 00 | 00111111 00101010 00000000 00000000 |
Description
The Unicode character U+2A3F, known as the Amalgamation or Coproduct symbol (⨭), is a typographic representation used in digital text for various mathematical and technical purposes. It primarily serves to denote an amalgamation or coproduct in abstract algebra and category theory, which are branches of mathematics concerned with the study of algebraic structures and their relationships. These structures and relationships play a crucial role in understanding complex mathematical concepts, including groups, rings, fields, and vector spaces. The Amalgamation or Coproduct symbol is an essential tool for mathematicians and other professionals working in fields that require precise representation of these concepts. In digital text, the character may be used alongside other symbols and equations to provide a clear and concise representation of mathematical ideas and theories.
How to type the ⨿ symbol on Windows
Hold Alt and type 10815 on the numpad. Or use Character Map.