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An XOR (Exclusive OR) gate is a digital logic gate that outputs true or 1 only when the number of true inputs is odd. For a 3-input XOR gate, the output is true if an odd number of the inputs are true.
Boolean Expression
The Boolean expression for a 3-input XOR gate is: [ X = A \oplus B \oplus C ] Where ( \oplus ) denotes the XOR operation.
Truth Table
The truth table for a 3-input XOR gate is as follows:
A | B | C | X--|---|---|--0 | 0 | 0 | 00 | 0 | 1 | 10 | 1 | 0 | 10 | 1 | 1 | 01 | 0 | 0 | 11 | 0 | 1 | 01 | 1 | 0 | 01 | 1 | 1 | 1Explanation
When all inputs (A, B, C) are 0, the output (X) is 0.
When only one input is 1, the output is 1.
When two inputs are 1, the output is 0.
When all three inputs are 1, the output is 1.
This behavior aligns with the XOR gate's property of producing a high output only when the number of high inputs is odd1.
Applications
XOR gates are widely used in various applications such as:
XOR Gate & XNOR Gates: Truth Table, Symbol
Feb 24, 2012 · Truth tables list the output of a particular digital logic circuit for all the possible combinations of its inputs. The truth table of an XOR gate is given …
- Estimated Reading Time: 5 mins
Exclusive or - Wikipedia
Exclusive or, exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs, …
Logic Gates (OR, AND, NOT, NOR, NAND, XOR, XNOR) Truth …
Aug 14, 2024 · Truth Table for NOT Gate. Derived Gates XOR Gate (Exclusive-OR Gate) The XOR Gate is not so common but it is very important and used in many applications. XOR Gate …
Exclusive OR Gate: XOR Boolean Expression, …
Sep 17, 2024 · We will learn the symbol, truth table of XOR Gate, implementation using other gates (AND, OR, NAND, NOR), popular XOR ICs and some …
- Estimated Reading Time: 5 mins
Exclusive OR Gate Tutorial with Ex-OR Gate Truth Table
The truth table, logic symbol and implementation of a 2-input Exclusive-OR gate is shown below. Giving the Boolean expression of: Q = A B + A B. The truth table above shows that the output of an Exclusive-OR gate ONLY goes “HIGH” …
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XOR Gate Truth Table, Symbol, Diagram, Application, …
From the XOR gate truth table, we can observe that the XOR gate produces a HIGH output when the inputs A and B are different, and a LOW output when the inputs are the same. The XOR gate symbol is as follows: XOR Gate …
XOR Gate - Symbol, Truth table & Circuit
Oct 11, 2018 · In Boolean expression, the term XOR is represented by the symbol (⊕) and the Boolean expression is represented as Y = A ⊕ B. It is read as “A xor B”. The logic symbol of the XOR gate is shown in figure 1. The XOR gate truth …
XOR Gate | Tutorial with examples, truth table,and …
May 3, 2023 · Truth Table of the XOR Gate The truth table of an XOR gate summarizes its behavior for all possible input combinations. The following table shows the truth table for a 2-input XOR gate:
XOR Gate & XNOR Gates: Truth Table, Symbol
Jan 19, 2024 · The truth table of an XOR gate illustrates its behavior for all possible input combinations. For a two-input XOR gate, the output is HIGH when the inputs are different and LOW when they are the same. A B A ⊕ B
XOR Gate - Truth table, Symbol, Diagram
Symbols of such XOR gates and the truth table of 3-input XOR gate and 4-input XOR gate are shown in the figure below. This truth table shows that the output of the XOR gate is HIGH (1) if an odd number of inputs are HIGH (1). The …
XOR Gate – Logic Gates Tutorial - Build Electronic Circuits
Sep 15, 2022 · XOR stands for Exclusive-OR. Check out its symbol and truth table below. The logic or Boolean expression for an XOR gate is which means that: XOR gates are usually …
Exclusive-OR (XOR) Digital Logic Gate - Electrical Technology
According to the truth table given above the SOP (sum of product) expression is: OUT = (I̅N̅1 & IN2) + (IN1 & I̅N̅2) This expression can be implemented with NOT, AND, OR gates as shown …
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 | Digital Logic Gates - Electronics Tutorial
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 gate is a logic ‘1’ when the inputs are unlike and a …
XOR gate: Definitions, truth table, symbol, logical expression ...
Using the Truth Table of an XOR gate; we say that a two-input XOR gate produces a high output when both inputs are different. Question: A certain logic circuit has A and B as the two inputs; …
XOR Gate and XNOR Gate – Definition, Truth Table, and Symbol
Sep 13, 2023 · In this article, I will cover definitions, truth tables, symbols, Boolean expressions, and applications of XOR and XNOR gates. What is XOR Gate? An XOR gate is a type of …
XOR Logic Gate - Electronics Area
The image below shows the truth table of a 2-input XOR gate. This gate is represented by the following Boolean function: X = A. B + A.B. Unlike the OR gate, this gate has an output is “0” …
XOR Gate – Definition, Explanation, Truth Table and Analogy
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) …
Ex-OR Gate:Truth Table,Symbol, 3Input Truth Table,Circuit Diagram
May 17, 2023 · Below is the truth table for two input Ex-OR Gate. Boolean expression for Ex-OR Gate is as follows: Y=A\overlineB + BA¯¯¯¯ = A ⊕ B o v e r l i n e B + B A ¯ = A ⊕ B. Here the …
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