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 a free 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.

Yes, the Binary Calculator is 100% free to use with no limitations. There is no registration required, no daily usage caps, and no hidden fees. You can use it as many times as you need.

The Binary Calculator uses industry-standard formulas and algorithms to deliver reliable results. While the tool is designed for accuracy, results should be used as estimates and guidance. 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.