Step 1: Determine the UTF-8 encoding bit layout
The character ∅ has the Unicode code point U+2205. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of
0x0800to0xffff.
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 thexare 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+2205 to binary:
00100010 00000101. 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 10000101
EMPTY SET·U+2205
∅
Character Information
Code Point
U+2205
HEX
2205
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 85 | 11100010 10001000 10000101 |
| UTF16 (big Endian) | 22 05 | 00100010 00000101 |
| UTF16 (little Endian) | 05 22 | 00000101 00100010 |
| UTF32 (big Endian) | 00 00 22 05 | 00000000 00000000 00100010 00000101 |
| UTF32 (little Endian) | 05 22 00 00 | 00000101 00100010 00000000 00000000 |
HTML Entity
∅
URI Encoded
%E2%88%85
Description
The Unicode character U+2205, known as the EMPTY SET, plays a significant role in digital text by representing an empty set or a null set, which is a mathematical concept used to denote a collection with no elements. Typically employed in mathematical and scientific contexts, the EMPTY SET serves as a fundamental component for understanding concepts like sets, relations, and functions in these fields. Its usage is crucial in symbolic mathematics, programming languages, and computer algebra systems to define empty collections or variables. Despite its seemingly abstract nature, the EMPTY SET has practical applications in various domains such as computer science, statistics, and logic, where the notion of an empty set is a fundamental concept that helps avoid undefined operations and supports algorithmic computations.
How to type the ∅ symbol on Windows
Hold Alt and type 8709 on the numpad. Or use Character Map.