XOR Calculator online

How to Use XOR Calculator

1. Paste at least two values in the input box — one per line, or separated by commas, semicolons, or spaces.
2. Set Input Base or leave on Auto Detect (handles Binary, Octal, Decimal, Hex and ASCII text).
3. Enable Show Intermediate Results to see each step of a multi-value calculation in a table.
4. Click Calculate XOR — results appear in all five bases simultaneously.

Bitwise XOR compares each bit position across all inputs and outputs 1 when an odd number of bits in that position are 1. For two inputs this simplifies to: 1 when the bits differ, 0 when they are equal. XOR is commutative and associative, so the order of operands doesn't matter for the final result.

Reverse XOR

XOR is its own inverse. If A ⊕ B = C, then C ⊕ B = A and C ⊕ A = B. To recover a lost operand, simply XOR the result with the other known operand. This property makes XOR fundamental to simple symmetric encryption, error-correction codes and checksums.

XOR Truth Table

A	B	A XOR B
0	0	0
1	0	1
0	1	1
1	1	0

XOR Use Cases

• Symmetric encryption — XOR a plaintext byte with a key byte; XOR again to decrypt.
• Checksum / parity — XOR all bytes in a block; any single-bit error changes the checksum.
• Swap without temp — a ^= b; b ^= a; a ^= b; swaps two variables without a temporary.
• Toggle bits — XOR a value with a mask to flip specific bits without affecting others.
• RAID-5 parity — XOR of data drives provides parity used to reconstruct a failed drive.

See also: NAND Calculator, NOR Calculator, NOT Calculator, Bitwise Calculator, XOR Encryptor.