Step 1: Determine the UTF-8 encoding bit layout
The character ∛ has the Unicode code point U+221B. 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+221B to binary:
00100010 00011011
. 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 10011011
CUBE ROOT·U+221B
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 88 9B | 11100010 10001000 10011011 |
UTF16 (big Endian) | 22 1B | 00100010 00011011 |
UTF16 (little Endian) | 1B 22 | 00011011 00100010 |
UTF32 (big Endian) | 00 00 22 1B | 00000000 00000000 00100010 00011011 |
UTF32 (little Endian) | 1B 22 00 00 | 00011011 00100010 00000000 00000000 |
Description
The Unicode character U+221B is known as the CUBE ROOT symbol. In digital text, it serves a mathematical function, representing the cube root of a number in various fields such as physics, engineering, and mathematics. This particular symbol is crucial for accurately expressing complex calculations and formulas where the cube root operation is involved. U+221B holds no notable cultural, linguistic, or technical context beyond its role in mathematical expression, making it an important but specific tool within the vast landscape of Unicode characters. The precision and accuracy of this character's use are essential for clear communication in digital text where the cube root operation is pertinent.
How to type the ∛ symbol on Windows
Hold Alt and type 8731 on the numpad. Or use Character Map.