Step 1: Determine the UTF-8 encoding bit layout
The character ∜ has the Unicode code point U+221C. 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+221C to binary:
00100010 00011100
. 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 10011100
FOURTH ROOT·U+221C
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 88 9C | 11100010 10001000 10011100 |
UTF16 (big Endian) | 22 1C | 00100010 00011100 |
UTF16 (little Endian) | 1C 22 | 00011100 00100010 |
UTF32 (big Endian) | 00 00 22 1C | 00000000 00000000 00100010 00011100 |
UTF32 (little Endian) | 1C 22 00 00 | 00011100 00100010 00000000 00000000 |
Description
The Unicode character U+221C, also known as the Fourth Root symbol, plays a significant role in mathematical notation in digital text. Typically used in algebraic expressions, it represents the extraction of the fourth root of a number or expression. This particular symbol is essential for precise calculations and problem-solving across various fields of study such as mathematics, physics, engineering, and computer science. Despite not having any specific cultural, linguistic, or technical context, its universal application in mathematical expressions highlights its importance in the field of digital text representation. By using U+221C, writers and programmers can ensure accuracy and clarity when expressing complex calculations that require fourth root extraction, making it an indispensable character in Unicode's extensive library.
How to type the ∜ symbol on Windows
Hold Alt and type 8732 on the numpad. Or use Character Map.