Binary to Decimal Converter

Decimal Result:

10

Understanding Binary Numbers

What is Binary?

Binary is a base-2 number system that uses only two digits: 0 and 1. It's fundamental to computer systems and digital technology, where each digit represents an electrical state - either on (1) or off (0).

How to Convert Binary to Decimal

To convert binary to decimal, multiply each digit by 2 raised to the power of its position (from right to left, starting at 0), then sum all values. For example:

1010 = (1×2³) + (0×2²) + (1×2¹) + (0×2⁰)
     = 8 + 0 + 2 + 0 
     = 10