Step 1: Determine the UTF-8 encoding bit layout
The character has the Unicode code point U+2064. 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+2064 to binary:
00100000 01100100
. 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 10000001 10100100
INVISIBLE PLUS·U+2064
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 81 A4 | 11100010 10000001 10100100 |
UTF16 (big Endian) | 20 64 | 00100000 01100100 |
UTF16 (little Endian) | 64 20 | 01100100 00100000 |
UTF32 (big Endian) | 00 00 20 64 | 00000000 00000000 00100000 01100100 |
UTF32 (little Endian) | 64 20 00 00 | 01100100 00100000 00000000 00000000 |
Description
The Unicode character U+2064, known as the Invisible Plus, is a less common but essential glyph used primarily in mathematical expressions and digital text. This enigmatic symbol is often utilized in computer algebra systems, where it serves as an operator to perform addition without visibly altering the sequence of characters. As a result, U+2064 can be employed to construct complex mathematical equations or formulas that require an invisible calculation step, preserving the aesthetic and readability of the content. While its usage may not be widely recognized, the Invisible Plus is a testament to the versatility and functionality of Unicode in representing a wide array of characters, symbols, and concepts.
How to type the symbol on Windows
Hold Alt and type 8292 on the numpad. Or use Character Map.