XOR Calculator (Binary, Decimal, Hex)
Bitwise XOR two values in binary, decimal or hex — see results in all three bases.
XOR Calculator — Binary, Decimal & Hex
Use this free XOR Calculator to perform a bitwise XOR operation on two integers instantly.
Choose Binary, Decimal, or Hexadecimal, enter Input A and Input B, and the calculator automatically displays the result in:
- Binary
- Decimal
- Hexadecimal
You can also view the complete binary calculation, preserve leading zeros, select a bit width, swap values, and copy individual results.
The workflow is simple:
Choose Base → Enter A → Enter B → Calculate XOR
How to Use the XOR Calculator
- Choose the input number base: Binary, Decimal, or Hexadecimal.
- Enter your first value in Input A.
- Enter your second value in Input B.
- Choose Auto, 8-bit, 16-bit, 32-bit, or 64-bit width if needed.
- Click Calculate XOR.
- View the result in binary, decimal, and hexadecimal.
For valid inputs, the calculator can also update the result automatically as you type.
XOR Calculation Example
Suppose you want to calculate:
12 XOR 10
In binary:
[object HTMLPreElement]The result is:
Binary: 0b0110
Decimal: 6
Hexadecimal: 0x6
This makes it easy to perform XOR without manually converting between number systems.
What Is a Bitwise XOR?
XOR means exclusive OR.
It compares two corresponding bits:
| A | B | XOR |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
In simple terms:
Different bits produce 1. Matching bits produce 0.
For example:
[object HTMLPreElement]Binary XOR Calculator
Choose Binary (Base 2) when your values are already written using 0 and 1.
Example:
[object HTMLPreElement]The tool validates binary input, so values containing digits other than 0 or 1 are rejected with a clear message.
You may also enter binary values with the 0b prefix.
Decimal XOR Calculator
Choose Decimal (Base 10) to perform XOR using ordinary whole numbers.
Example:
[object HTMLPreElement]The calculator converts both decimal numbers to binary internally, performs the bitwise XOR, and then displays the result in all supported number systems.
This is particularly useful when programming because you do not need to convert decimal numbers manually.
Hex XOR Calculator
Choose Hexadecimal (Base 16) for hexadecimal values.
For example:
[object HTMLPreElement]The calculator accepts hexadecimal digits:
0–9 and A–F
You can enter values either with or without the 0x prefix.
Automatic Base Conversion
Regardless of the selected input base, every calculation displays the result as:
Binary — useful for viewing individual bits Decimal — useful for normal numeric interpretation Hexadecimal — useful for programming, memory values, bitmasks, and embedded systems
This removes the need to use separate binary, decimal, and hexadecimal converters.
Bit Width and Leading Zeros
For bitwise work, leading zeros can make binary values much easier to compare.
Instead of:
[object HTMLPreElement]you may want:
[object HTMLPreElement]The calculator supports:
- Auto width
- 8-bit
- 16-bit
- 32-bit
- 64-bit
When leading zeros are enabled, the binary result stays aligned with the selected width.
For example:
[object HTMLPreElement]Large Integer XOR Calculations
The calculator uses JavaScript BigInt rather than ordinary 32-bit JavaScript number bitwise operators.
This allows it to work with integers larger than the traditional 32-bit range when Auto width is selected.
If you select a fixed width such as 8 or 16 bits, the calculator checks that your values fit within that width.
Common Uses for XOR
A bitwise XOR calculator is useful for:
- Programming and debugging
- Computer science assignments
- Learning binary arithmetic
- Bitmask operations
- Flags and permissions
- Embedded systems
- Microcontroller development
- Networking exercises
- Digital electronics
- Algorithm practice
- Data encoding experiments
- Technical interview preparation
XOR for Programming
XOR appears in many programming languages using the ^ operator.
For example:
[object HTMLPreElement]produces:
[object HTMLPreElement]This calculator is useful when you want to verify a bitwise result without writing a temporary program or manually comparing bits.
Input Validation
The calculator checks values according to the selected number base.
Binary: only 0 and 1
Decimal: non-negative whole numbers
Hexadecimal: 0–9 and A–F
If an invalid value is entered, the tool displays a specific message instead of returning an incorrect result.
Frequently Asked Questions
What does XOR mean?
XOR stands for exclusive OR. It returns 1 when two corresponding bits are different and 0 when they are the same.
What is 12 XOR 10?
12 XOR 10 = 6.
In binary:
1100 XOR 1010 = 0110
Can I calculate XOR using hexadecimal numbers?
Yes. Select Hexadecimal and enter values such as FF or 0xFF.
Does the calculator show binary steps?
Yes. It displays Input A, Input B, and the XOR result as aligned binary values.
Can I use 8-bit, 16-bit, 32-bit, or 64-bit values?
Yes. You can choose a fixed bit width or let the calculator determine the required width automatically.
Why are leading zeros useful?
Leading zeros align corresponding bits, making the XOR operation easier to read and verify.
Does XOR work like normal addition?
No. XOR is a bitwise logical operation, not ordinary arithmetic.
Calculate XOR Online
Enter two values, choose Binary, Decimal, or Hexadecimal, and use the XOR Calculator to get the result instantly.The tool is designed for developers, students, engineers, and technical users who need a fast way to calculate XOR and compare results across multiple number systems.