Adds two binary (base-2) numbers together and returns the binary sum.
How it works
Both binary numbers are converted to decimal, added together, then converted back to binary.
What this does not include
This does not include converting between binary and other numeral systems in general — for that, use this site’s binary calculator instead.
How to use this calculator
- Enter both binary numbers using only 0s and 1s.
Frequently asked questions
Why does 1 + 1 in binary equal 10, not 2?
Binary only has digits 0 and 1, so once a column reaches its maximum, it carries over to the next column — the same way decimal carries at 10, binary carries at 2.
Where is binary addition actually used?
It’s the fundamental operation computer processors perform internally, since all arithmetic in digital circuits ultimately reduces to binary addition.
Can this handle binary numbers of different lengths?
Yes — the underlying decimal conversion handles numbers of any length correctly, regardless of how many digits each one has.
