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An XOR (Exclusive OR) gate is a digital logic gate that outputs true (1) when the number of true inputs is odd. It is used in various digital circuits and systems for operations like binary addition, data encryption, and error detection.
Definition and Boolean Expression
The XOR gate takes two inputs, A and B, and produces an output X. The Boolean expression for the XOR gate is: [ X = A'B + AB' ]
This expression means that the output X is true if either A is true and B is false, or A is false and B is true1.
Truth Table
The truth table for a two-input XOR gate is as follows:
| A | B | X (A XOR B) | |---|---|-------------| | 0 | 0 | 0 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |
This table shows that the output is 1 only when the inputs are different2.
Symbol and Implementation
XOR Gate | GeeksforGeeks
A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. See more
Logic gates are digital switching circuits where the output depends on two or more inputs in binary format. The symbols ‘0’ represent ‘low’ or ‘false’ and ‘1’ represents ‘high’ or ‘true’. Each … See more
There are two types of XOR gate, based on the number of inputs: 2-Input XOR gate 3-Input XOR gate 2-Input XOR gate It takes 2 inputs and the truth table will have 2 2 = 4 possible combination. The truth table of 2 input XOR gate is as follows: Truth Table of Two … See more
Example: Find a single number from a series of numbers given that every element appears twice except for that one single element. Solution: We know that XOR of two same bits gives ‘0’ so here we can observe that if we XOR the elements then every elements … See more
XOR gate has got great use in many other digital circuits as well to have a more efficient and accurate output. Its operation can also be explained via the concept of transistors. See more
XOR gate - Wikipedia
XOR gate (sometimes EOR, or EXOR and pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or () from mathematical logic; that is, a true output results if one, and only one, of the inputs to the gate is true. If both inputs are false (0/LOW) or both are true, a false output results. XOR represents the inequality function, i.e., the output is true if the inputs are not alike otherwis…
Wikipedia · Text under CC-BY-SA licenseXOR Gate & XNOR Gates: Truth Table, Symbol
Feb 24, 2012 · An XOR gate (also known as an EOR, or EXOR gate) – pronounced as “Exclusive OR gate” – is a digital logic gate that gives a true …
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Implementation of XOR Gate from AND, OR and NOT Gate
Mar 20, 2024 · What is the purpose of XOR gate? The XOR gate (exclusive OR gate) outputs true (1) only when its two inputs differ. It is commonly used in arithmetic and cryptographic operations.
XOR Gate | Tutorial with examples, truth table, and …
May 3, 2023 · What do an XOR Gate and a game show have in common? Find out in this reference guide for XOR Gates! We've got examples, clear …
XOR Gate – Definition, Explanation, Truth Table and …
Feb 12, 2025 · An XOR, or Exclusive OR gate, is a fundamental digital logic gate that operates on binary inputs and produces a binary output based on the exclusive disjunction (XOR) operation. Let us learn more about XOR logic …
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XOR Gate & XNOR Gates: Truth Table, Symbol
Jan 19, 2024 · What is an XOR Gate? An XOR gate is a digital logic gate that outputs HIGH (1) only when the number of HIGH inputs is odd. In other words, the output is high when the number of true inputs is not equal. XOR gates are …
XOR Gate – Explanation, Symbol, Truth Table, and ... - Vedantu
XOR gate (sometimes called EOR, EXOR, and pronounced as Exclusive OR) is a digital logic gate that results in true (either 1 or HIGH) output when the number of true inputs is an odd …
XOR Gate - Truth table, Symbol, Diagram
What is an XOR logic gate? What is the formula for XOR gate? XOR and XNOR gates are special-purpose gates. They can be used for applications such as half adder, full adder, and subtractor. These gates are also called derived gates. …
XOR Gate and XNOR Gate – Definition, Truth Table, …
Sep 13, 2023 · An XOR gate is a type of derived logic gate that can have two inputs and one output. The output of the XOR gate is in logic 1 or high state when one of its two inputs is in logic 1 or high state. The output of the XOR gate is in …
XOR Gate in Digital Electronics - Online Tutorials Library
What is an XOR Gate? The XOR gate is a type of logic gate in digital electronics which has two inputs and one output. The output of the XOR gate is high or logic 1, only when both the inputs …
XOR Gates – Electricity - Magnetism
Oct 26, 2023 · The term XOR gate is a shorthand notation for ‘exclusive OR gate.’ This is a type of digital logic gate that outputs true or ‘1’ only when the number of true inputs is odd. In …
XOR Gate | Analog Devices
What is an XOR Gate? “XOR” an abbreviation for “Exclusively-OR.” The simplest XOR gate is a two-input digital circuit that outputs a logical “1” if the two input values differ, i.e., its output is a …
Exclusive OR Gate: Definition, Symbol and truth table of XOR …
The Exclusive-OR gate or XOR gate is achieved by combining standard logic gates together. XOR gate is used extensively in error detection circuits, computational logic comparators and …
Exclusive-OR Gate with EX-OR Gate Truth Table - Electrical Volt
Exclusive-OR Gate, also known as EX OR Gate or XOR Gate, is a type of derived logic gate that is obtained by combining standard logic gates. It is a logic gate having only two inputs and one …
xor-gate | Digital Logic Gates - Electronics Tutorial
The EXCLUSIVE-OR gate is a two-input, one-output gate. Figure shows the logic symbol and truth table of a two-input XOR gate. As can be seen from the truth table, the output of an XOR …
XOR Gate — Logicly Documentation
An XOR gate (sometimes referred to by its extended name, Exclusive OR gate) is a digital logic gate with two or more inputs and one output that performs exclusive disjunction. The output of …
XOR Logic Gate - Electronics Area
What is a XOR Gate? In digital electronics there are special gates. One of them is the XOR Gate or Exclusive OR gate. The images below shows the symbol of a 2-input and 3-input XOR …
Xor gate - (Intro to Engineering) - Vocab, Definition ... - Fiveable
An xor gate, or exclusive OR gate, is a digital logic gate that outputs true or high only when the inputs to it are unequal. This means that the xor gate will return a true value if one input is true …
Xor gate - (Intro to Electrical Engineering) - Fiveable
An XOR gate, or exclusive OR gate, is a digital logic gate that outputs true or '1' only when the number of true inputs is odd. This means that for two inputs, the output is true if one input is …
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