Math

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Binary Addition Calculator.

Add two unsigned binary integers.

On-device calculationNo signup
01

Set your values

Results update as you type.

Binary sum: 1101

Binary sum

1101
Decimal sum: 13

Decimal sum

0.000000

Results update automatically as you type.

Use Cases

Learning binary addition

Students can verify their manual binary addition homework or practice with random numbers to understand the carry process.

Example: Add 1010 (10) and 0110 (6) to get 10000 (16).

Quick binary math for programming

Programmers and electronics enthusiasts can quickly add binary numbers without converting to decimal, saving time in debugging or design.

Example: Add 1111 (15) and 0001 (1) to get 10000 (16).

Frequently Asked Questions

How do I use the Binary Addition Calculator?
Enter two unsigned binary numbers (using only 0s and 1s) in the fields labeled 'First binary number' and 'Second binary number'. The calculator will add them and show the result in binary (and possibly decimal).
What if I enter a number with digits other than 0 or 1?
The calculator expects unsigned binary numbers, so only digits 0 and 1 are valid. If you enter other digits, the calculator may show an error or treat them incorrectly. Ensure your inputs are valid binary.
Can I add binary numbers of different lengths?
Yes, you can enter binary numbers of different lengths. The calculator will align them for addition, just like decimal addition, and produce the correct sum.

Tips & Common Mistakes

Tips

  • Double-check that your inputs contain only 0s and 1s; spaces or other characters will cause errors.
  • If you're unsure about the result, convert the binary numbers to decimal, add them, and convert back to verify.
  • Remember that adding two n-bit numbers can produce a result with n+1 bits (e.g., 111 + 001 = 1000).
  • Use leading zeros to align numbers of different lengths for easier manual addition.

Common Mistakes to Avoid

  • Entering decimal numbers or numbers with digits 2-9, which are not valid binary.
  • Forgetting that binary addition uses carries: 1+1 = 10, not 2.
  • Assuming the result is always the same length as the inputs; it can be longer.

Last updated: August 13, 2026