XOR two binary, hexadecimal, or decimal values instantly — see every bit that differs
XOR returns 1 where bits differ — the foundation of encryption and error detection.
XOR returns 1 where bits differ. Bits that are 1 in the result are positions where A and B have different values.
See every bit of A, B, and the XOR result aligned side by side. Differing bits are highlighted in blue.
Enter values in binary, hex, or decimal. Auto-detect detects "0x" prefix and switches to hex automatically.
All values are computed as 32-bit unsigned integers, showing the full bit pattern from MSB to LSB.
Results update in real time as you type, displayed in binary, decimal, and hex simultaneously.
I built this XOR calculator because I was tired of manually aligning binary strings to figure out which bits differ between two values. As a developer working with network protocols and embedded systems, XOR operations come up constantly — whether I am verifying checksums, computing parity for serial communication, or testing cryptographic primitives. The XOR (exclusive OR) operation is deceptively simple: it compares two bits and outputs 1 if they are different, 0 if they are the same. But when you scale that up to 32-bit values, keeping track of every bit position in your head becomes nearly impossible. That is why I created this tool — it does the bit-by-bit comparison for you, highlights every position where the two values diverge, and shows the result in the base that matters most for your task. Whether you are debugging a network packet, implementing a simple cipher, or just curious about how XOR works under the hood, this calculator gives you both the answer and the visual breakdown.
I have found that once developers understand XOR deeply, they start seeing it everywhere. XOR is the only elementary bitwise operation that is its own inverse — (A XOR K) XOR K = A — which makes it the mathematical backbone of stream ciphers, one-time pads, and block cipher modes like CTR and GCM. Every time you connect to an HTTPS website, the AES-GCM encryption almost certainly involves XOR operations at its core. Beyond cryptography, XOR powers the parity calculations that detect single-bit errors in memory (ECC RAM), RAID storage systems rebuild lost data using XOR across drives, and even CRC (cyclic redundancy check) algorithms rely on XOR at every step. I use this XOR calculator regularly when I am tracing through cryptographic code or verifying that an error detection algorithm is working correctly. Having the bit-level visualization makes abstract concepts concrete — you can literally see which bits flip under XOR and understand why algorithms work the way they do.
XOR (exclusive OR) is a bitwise operation that returns 1 where bits differ and 0 where they are the same. It is the fundamental building block of many encryption algorithms, error detection codes (parity / CRC), and data manipulation tasks in computing.
Align both numbers in binary and compare bit by bit. For each position, the XOR result is 1 if the two bits are different, and 0 if they are the same. The final result is the binary number formed by all those per-bit results.
XOR is fundamental to cryptography because XOR with a key K is its own inverse: (A XOR K) XOR K = A. This property makes XOR the basis of one-time pads, stream ciphers, and many block cipher modes like CTR and GCM.
XOR is widely used for error detection (parity bits, CRC), swapping two variables without a temporary variable, data corruption recovery in RAID systems, drawing XOR cursor patterns, and toggling bits in embedded systems programming.
Yes. Hexadecimal values are converted to binary internally, then XOR is applied bit by bit. For example, 0xFF XOR 0x0F = 0xF0, because 11111111 XOR 00001111 = 11110000. This calculator handles hex, binary, and decimal input seamlessly.
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