Binary Calculator

Binary addition follows the same rules as decimal but with only 0 and 1: 0+0=0, 0+1=1, 1+0=1, 1+1=10 (carry 1). Work from right to left, carrying as needed.

Multiply each digit by 2 raised to its position (starting from 0 on the right). Example: 1101 = 1×8 + 1×4 + 0×2 + 1×1 = 13.

Two's complement represents negative numbers in binary. Flip all bits and add 1. For example, -5 in 8-bit is: 5=00000101, flip=11111010, +1=11111011.

The Binary Calculator is an online tool that lets you perform binary arithmetic operations and convert between binary, decimal, octal, and hexadecimal. It is part of NexTool's collection of free tools designed to help you work faster and more efficiently.

The Free plan includes 10 tool uses per day. Some features require an account or a paid plan. Check the controls on the tool page and Pricing for the applicable limits.

The Binary Calculator returns results based on the inputs and the tool methodology. Check assumptions, units and source dates. Treat projections as estimates. For critical decisions, always consult a qualified professional.

Yes, the Binary Calculator is fully responsive and works perfectly on smartphones, tablets, and desktop computers. Simply open NexTool in your mobile browser and navigate to the tool — no app download required.