Character Information

Code Point
U+221C
HEX
221C
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
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
HTML Entity
∜
URI Encoded
%E2%88%9C

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.

  1. 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 to 0xffff.

    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 the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+221C to binary: 00100010 00011100. Those are the payload bits.

  3. 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