Step 1: Determine the UTF-8 encoding bit layout
The character √ has the Unicode code point U+221A. 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+221A to binary:
00100010 00011010
. 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 10011010
SQUARE ROOT·U+221A
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 88 9A | 11100010 10001000 10011010 |
UTF16 (big Endian) | 22 1A | 00100010 00011010 |
UTF16 (little Endian) | 1A 22 | 00011010 00100010 |
UTF32 (big Endian) | 00 00 22 1A | 00000000 00000000 00100010 00011010 |
UTF32 (little Endian) | 1A 22 00 00 | 00011010 00100010 00000000 00000000 |
Description
The Unicode character U+221A is the SQUARE ROOT symbol, commonly used in mathematical notation to represent the extraction of a square root of a number. In digital text, this symbol is frequently employed within formulas to indicate that an operation of finding the square root should be performed on the preceding numerical value. The SQUARE ROOT symbol is also widely utilized in various scientific, engineering, and mathematical fields for its role in calculations involving square roots, which are essential concepts in trigonometry, physics, and other disciplines. With its universal applicability across different cultural, linguistic, and technical contexts, the SQUARE ROOT symbol (U+221A) has become an indispensable tool for clear and precise communication of mathematical ideas.
How to type the √ symbol on Windows
Hold Alt and type 8730 on the numpad. Or use Character Map.