Xor Symbol ⊻
The Mathematical Concept: XOR (Exclusive OR)
XOR, short for Exclusive OR, is a logical operation that outputs true or 1 only when the number of true inputs is odd. It is commonly used in mathematics and computer science for binary operations and plays a key role in digital logic circuits and cryptography.
Definition
XOR is a binary operation that takes two inputs and returns true (1) if the inputs are different and false (0) if the inputs are the same. It is often denoted by the symbol "⊕" or expressed as A XOR B, where A and B are the input values.
Representation in HTML
In HTML, the XOR symbol "⊕" can be represented using the HTML entity ⊕
.
Truth Table
A | B | A ⊕ B |
---|---|---|
0 | 0 | 0 |
0 | 1 | 1 |
1 | 0 | 1 |
1 | 1 | 0 |
Usage in Mathematics
XOR is fundamental in mathematics and computer science for various applications, including binary arithmetic, error detection, and cryptography. It is a basic building block in the design of digital circuits and is often used in bitwise operations.
Example
For example, consider two binary numbers A = 1010 and B = 1101. The XOR operation A ⊕ B results in 0111, where the bits are flipped for positions where A and B differ.
Applications
XOR has applications in XOR gates in digital circuits, error-checking codes, checksums, and cryptographic algorithms. Its unique properties make it a valuable tool in ensuring data integrity and security.
XOR, or Exclusive OR, is a fundamental logical operation with applications in both mathematics and computer science. Its properties and behavior make it a key component in various fields, contributing to the design and functionality of digital systems.
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Xor Symbol Information
Symbol Name | Xor |
Unicode Version | 1.1 (June 1993) |
Unicode | U+22BB |
CSS Code | \22BB |
HTML Entity | ⊻ |
Xor Symbol Encoding
UTF-8 | 0xE2 0x8A 0xBB |
UTF-16 | 0x22BB |
UTF-32 | 0x000022BB |
Table of contents
Xor symbol's PNG and SVG files
How to type xor symbol in latex
\documentclass{article}
\usepackage{amssymb}
\begin{document}
\veebar
\end{document}
How to add xor symbol via keyboard on different Operating systems
You can type the xor on most modern devices with the help of following methods:
How to type xor symbol on Microsoft Word
You can type the xor on microsoft Microsoft Word using steps mentioned below:
- Place your cursor in the text area where you need to insert the symbol and type 2 2 B B
- Without moving the cursor press keys Alt + x together
- The original 2 2 B B is now transformed into ⊻
How to type xor symbol on Microsoft Windows
You can type the xor on Microsoft windows using following steps:
- Hold Alt and press to type xor on your windows machine.
How to type xor symbol on Mac OS
You can type the xor on Mac OS using following steps:
- Place your cursor in the text area where you need to insert the symbol
- Press Ctrl + ⌘ Command + ⎵ Space to bring up the Character Viewer. Alternatively, choose Edit ⇒ Emoji & Symbols
- Type “Xor” in the search field at the top and press Enter
- The symbol should appear. Click on it to insert it into your text
How to type xor symbol on Linux
You can type the xor on Linux using following steps:
- Place your cursor in the text area where you need to insert the symbol
- Hold ⇧ Shift + Ctrl and press the letter + U
- Press keys 2 2 B B consecutively
- And then press ↵ Enter , the desired symbol will be added to your document
How to type xor symbol on IOS and Android
The easiest way to type the xor on ios and android is to copy and paste it wherever you need it.
How to use xor in CSS
span {
content: "\22BB";
}
How to type xor in HTML
<span>⊻</span>
Xor symbol representation in programming languages
xor's representation in different programming languages can be found in table below:
Language | Representation |
Rust | \u{22BB} |
Ruby | \u{22BB} |
Python | \u22BB |
PHP | \u{22BB} |
Perl | "\x{22BB}" |
Java | \u22BB |
Modern JavaScript - Since ES6 | \u{22BB} |
JavaScript | \u22BB |
Go | \u22BB |
C# | \u22BB |
C and C++ | \u22BB |
Bash and Zsh - inside echo -e | \u22BB |
RFC 5137 | \u'22BB' |