Step 1: Determine the UTF-8 encoding bit layout
The character ∃ has the Unicode code point U+2203. 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+2203 to binary:
00100010 00000011. 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 10000011
THERE EXISTS·U+2203
∃
Character Information
Code Point
U+2203
HEX
2203
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 88 83 | 11100010 10001000 10000011 |
| UTF16 (big Endian) | 22 03 | 00100010 00000011 |
| UTF16 (little Endian) | 03 22 | 00000011 00100010 |
| UTF32 (big Endian) | 00 00 22 03 | 00000000 00000000 00100010 00000011 |
| UTF32 (little Endian) | 03 22 00 00 | 00000011 00100010 00000000 00000000 |
HTML Entity
∃
URI Encoded
%E2%88%83
Description
The Unicode character U+2203, known as "THERE EXISTS," is a mathematical symbol used primarily in mathematical expressions within digital text. This symbol represents the existential quantifier in predicate logic, denoting that there exists at least one element in a specific set or domain that satisfies a particular condition. It originated from the field of formal logic and set theory, where it plays an essential role in defining various mathematical and logical properties. In digital text, U+2203 is commonly utilized in programming languages, proofs, and other mathematical expressions to represent existential quantification. It is used in conjunction with predicate logic, a fundamental concept in computer science, artificial intelligence, and formal methods for the verification of software systems. The character "THERE EXISTS" (U+2203) does not have any significant cultural or linguistic contexts outside of its role as a mathematical symbol. Its primary purpose is technical, serving to enhance clarity and precision in mathematical expressions and logical arguments within digital text. In summary, U+2203 is an indispensable tool for expressing existential quantification in various mathematical and computer science applications, ensuring accurate communication of complex ideas and relationships.
How to type the ∃ symbol on Windows
Hold Alt and type 8707 on the numpad. Or use Character Map.