XOR Calculator

Online XOR calculator is an online tool which can be used to perform various XOR operations on binary, decimal, hexadecimal, or octal numbers and calculate Bitwise XOR calculation.

First Number
Second NumberNumber of Bits to Shift
Binary Result
Octal Result
Decimal Result
Hex Result
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How to use this XOR Calculator Tool?

Understanding the XOR Calculator: A Fundamental Tool in Digital Logic

Digital logic, the foundational building block of modern computing systems, relies on fundamental operations like AND, OR, and NOT to process information. Among these operations, the XOR (exclusive OR) operation plays a crucial role in a wide array of applications, from data encryption to error detection. To navigate the complexities of XOR, a reliable XOR calculator proves indispensable.

What is an XOR Calculator?

An XOR calculator is an essential tool used in digital logic design and computer science. It facilitates the computation of the XOR operation, which is a binary operation that returns true (1) if the number of true inputs is odd, and false (0) if it is even. The XOR operation is represented by the symbol ⊕ and is often used in logical expressions and Boolean algebra.

How Does an XOR Calculator Work?

The XOR calculator works by accepting binary inputs and performing the XOR operation on those inputs. It takes two binary numbers as input and produces a single binary output based on the XOR operation. For example, if the inputs are 1 and 0, the XOR operation yields 1; if the inputs are 0 and 0 or 1 and 1, the XOR operation yields 0.

Practical Applications of XOR

XOR is a versatile operation that finds applications in various fields, including:

  • Data Encryption: XOR is used in encryption algorithms to scramble data, making it unreadable without the correct decryption key. It is an essential component of many modern encryption algorithms, including the widely-used AES (Advanced Encryption Standard).

  • Error Detection and Correction: XOR is employed in error detection and correction techniques like parity checks and checksums. It helps identify errors in data transmission and ensure data integrity.

  • Digital Circuit Design: XOR gates are fundamental building blocks in digital circuit design, used to construct more complex logic circuits and implement various functions.

  • Network Protocols: XOR is utilized in network protocols like TCP (Transmission Control Protocol) and UDP (User Datagram Protocol) to calculate checksums and verify data integrity.

How to use Yttags's XOR Calculator?

  • Step 1: Select the Tool
XOR Calculator Step 1
  • Step 2: Enter The Following Options And Click On Calculate Button And Check Your XOR Calculator Result
XOR Calculator Step 2

Use this free online Binary XOR Calculator for your XOR logic gate problems in computer organization and architecture! The XOR gate is a gate that requires the inputs to be exclusively OR, so only 1 input is true while the rest are false. This tool also comes with learn sections and step-by-step solutions and practice problems!

XOR Truth Table

Bit Operations
Input A Input B Output Q
0 0 0
0 1 1
1 0 1
1 1 0
Boolean Operations


The XOR calculator is a critical tool in digital logic design and computer science, facilitating the computation of the XOR operation and enabling the implementation of various functions and algorithms. Its versatility and widespread use across different domains highlight the importance of understanding and utilizing XOR in modern computing systems. Whether you're a computer scientist, programmer, or student, a deep understanding of XOR and its applications is essential in mastering digital logic and computer science.

If you want to link to Xor Calculator page, please use the codes provided below!

Xor Calculator

FAQs for XOR Calculator

What is a XOR Calculator?
A XOR Calculator is a tool that performs the exclusive OR (XOR) operation on binary numbers or bits, producing the result of the bitwise XOR operation between corresponding bits. XOR is commonly used in computer science and cryptography for various applications.
What does XOR mean on a calculator?
It is a logical “exclusive OR” function. For two given logical statements, the XOR function would return TRUE if one of the statements is true and FALSE if both statements are true.
How does XOR work on numbers?
XOR is a bitwise operator, and it stands for "exclusive or." It performs logical operation. If input bits are the same, then the output will be false(0) else true(1).
Why is XOR special?
XOR gates are a fundamental building block of cryptographic circuits because XOR logic acts as a simple cipher, i.e., performing an XOR of a digitized message with a binary key produces encrypted ciphertext. Performing an XOR of the ciphertext with the same key reproduces the original message.
Is there a symbol for XOR?
An interesting symbol is used to represent the XOR logic, and it looks like this, ⊕ . If you're wondering how to create this symbol in a word doc, then you can use an ASCII code.