Bitwise XOR Calculator

Calculate A ^ B online and identify the bit positions where the two input values are different.

Number A
Dec46 Bin00101110 Hex0x2E
Number B
Dec74 Bin01001010 Hex0x4A

XOR Result

XOR (^)
Dec0
Hex0x00
Bin00000000

Bit-by-Bit Visualization

1 Active bit 0 Diff bit 0 Included zero 0 Leading zero

XOR Truth Table

Click a row to load values into A and B, or inspect how each gate behaves.

Input AInput BXOR
000
011
101
110
Click a truth table row to test those values.

How the Bitwise XOR Calculator Works

A bitwise XOR calculator returns 1 when two compared bits are different. XOR is useful for toggles, parity checks, checksums, and difference masks.

XOR Rule

The output bit is 1 when one input is 1 and the other input is 0.

Difference Mask

XOR highlights exactly where two binary values differ.

Toggle Bits

XOR with a mask flips selected bits while leaving other positions unchanged.

Parity Checks

Many parity and checksum routines use XOR because repeated equal bits cancel out.

Bitwise XOR Calculation Steps

Use these steps to calculate XOR without guessing.

Align Both Values

  • Convert A and B to binary.
  • Pad the shorter value with leading zeros.
  • Keep columns aligned from right to left.

Mark Different Bits

  • Write 1 when the two bits are different.
  • Write 0 when the two bits match.
  • Continue through every bit column.

Convert the Output

  • Read the binary result.
  • Convert it to decimal or hex.
  • Use the value as a toggle or difference mask.

Bitwise XOR Examples

XOR examples show where two values differ.

InputOperationResultUse
101110 ^ 1001010 XOR 1100100 Difference mask
1111 ^ 0101 XOR 1010 Toggle selected bits
0x2E ^ 0x4A XOR 0x64 Hex difference
46 ^ 74 XOR 100 Decimal integer result

Why Use This Bitwise XOR Calculator?

Use this XOR calculator to inspect binary differences, toggles, and parity behavior.

Binary Input Support

Enter values as binary strings and inspect how each bit contributes to the final answer.

Decimal and Hex Views

Compare the same result in decimal, binary, and hexadecimal without switching tools.

Visual Bit Diagram

Use the bit grid to see active bits, included zeros, leading zeros, and changed positions.

Configurable Width

Choose auto, 8-bit, 16-bit, 32-bit, or 64-bit output for programming-style results.

Practical Uses for Bitwise XOR

XOR is especially helpful when equal bits should cancel and different bits should stand out.

Masks and Flags

Build masks for permissions, settings, protocol fields, and low-level feature toggles.

Low-Level Debugging

Check bit patterns while reviewing firmware, embedded registers, or systems code.

Networking

Inspect headers, subnet masks, and packed fields that depend on bit-level operations.

Packed Values

Read color channels, compact identifiers, and integer fields stored inside one word.

Frequently Asked Questions

Find answers to common questions about bitwise operations and this online tool.

What is a bitwise XOR calculator?
A bitwise XOR calculator is an online tool that calculates XOR results and shows the answer in binary, decimal, and hexadecimal formats.
Can I use binary input in this bitwise XOR calculator?
Yes. Select Binary for Number A or Number B, enter a bit string, and the calculator converts the same value into decimal and hexadecimal.
Why do leading zeros appear in the result?
Leading zeros show the selected bit width. Included zeros inside the active value are highlighted differently so they are not confused with padding.