This calculator is all about binary addition! To use our Adding Binary Numbers Calculator to add binary numbers together, simply enter your numbers below, but remember that binary numbers only contain zeros (0s) and ones (1s).

Adding binary numbers works like adding decimal numbers, but you are dealing with 2 digits instead of 10. Below are the differences between decimals and binary so you get a better picture.

Here is how you count with decimal vs binary:

Decimal:
0
1
2
3
4
5

Binary:
0
1
10
11
100
101

Decimal: 0 + 1 = 1
Binary: 0 + 1 = 1

Decimal: 1 + 1 = 2
Binary: 1 + 1 = 10

Decimal: 1 + 1 + 1 = 3
Binary: 1 + 1 + 1 = 11

And here are place values for decimal versus binary:

Decimal:
Ones
Tens
Hundreds
Thousands

Binary:
Ones
Twos
Fours
Eights

When you add decimals, you start by adding the ones, then add the tens plus carryovers from ones, then add the hundreds plus carryovers from tens, and so on.

When you add binaries, you start by adding the ones, then add the twos plus carryovers from ones, then add the fours plus carryovers from twos, and so on.

Type in some binary numbers in the calculator on top to experiment and see if you can follow along. Note that any carryovers will show up in red on top. Enjoy!

Thank you for using our Adding Binary Numbers Calculator.