What is a bitwise XOR operation?

Bitwise XOR (exclusive OR) compares each bit of two integers. For each bit position, the result is 1 if the bits are different, and 0 if they are the same. For example, 5 (101) XOR 3 (011) equals 6 (110).

How do I use this XOR calculator?

Simply enter two integers in the 'First integer' and 'Second integer' fields. The calculator will compute the bitwise XOR and display the result in decimal and binary formats.

Can I use negative numbers with this calculator?

Yes, the calculator accepts negative integers. It uses two's complement representation for negative numbers, which is standard in computing. The XOR result will be shown accordingly.

Math

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XOR Calculator.

Calculate the bitwise exclusive OR of two integers.

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First integer

Second integer

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Use Cases

Programming and Debugging

Quickly compute XOR for bit manipulation tasks, such as toggling bits, checking parity, or swapping values without a temporary variable.

Example: Check if two integers have different bits at a specific position.

Cryptography and Checksums

Use XOR to combine data blocks or generate simple checksums for error detection in data transmission.

Example: Compute XOR of two bytes to create a simple hash.

Frequently Asked Questions

What is a bitwise XOR operation?: Bitwise XOR (exclusive OR) compares each bit of two integers. For each bit position, the result is 1 if the bits are different, and 0 if they are the same. For example, 5 (101) XOR 3 (011) equals 6 (110).
How do I use this XOR calculator?: Simply enter two integers in the 'First integer' and 'Second integer' fields. The calculator will compute the bitwise XOR and display the result in decimal and binary formats.
Can I use negative numbers with this calculator?: Yes, the calculator accepts negative integers. It uses two's complement representation for negative numbers, which is standard in computing. The XOR result will be shown accordingly.

Tips & Common Mistakes

Tips

Remember that XOR is commutative: A XOR B = B XOR A.
XORing a number with itself always yields 0.
Use XOR to toggle specific bits: to flip bit n, XOR with 1<<n.
For large integers, the calculator handles up to 32-bit signed values.

Common Mistakes to Avoid

Confusing XOR with OR: XOR yields 1 only when bits differ, while OR yields 1 if at least one bit is 1.
Forgetting that negative numbers are represented in two's complement, which can affect the result.
Assuming the result is always positive; XOR of two negative numbers can be positive or negative.

Last updated: August 13, 2026