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.

Xor Symbol Information

Symbol Name	Xor
Unicode Version	1.1 (June 1993)
Unicode	U+22BB
CSS Code	\22BB
HTML Entity	&veebar;

Hex Code	⊻
HTML Code	⊻
Latex	\veebar
Symbol	⊻

Xor Symbol Encoding

UTF-8	0xE2 0x8A 0xBB
UTF-16	0x22BB
UTF-32	0x000022BB

XorSymbol's PNG and SVG files

Xor Symbol in Latex

Xor

\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 symbol on most modern devices with the help of following methods:

How to type xor symbol on Microsoft Word

You can type the xor in Microsoft Word using steps mentioned below:

Place your cursor in the text area where you need to insert the symbol and type 22BB
Without moving the cursor press keys Alt + x together
The original 22BB 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 22BB 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 symbol on ios and android is to copy and paste it wherever you need it.

How to use xor in CSS

//CSS Example

span {
    content: \22BB;
  }

How to use xor in HTML

//HTML Example

<span>&#8891;</span>

Xor symbol representation in programming languages

Xorsymbol'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'