Have to deal with several conversions between Binary and Decimal numeral systems? Then this site is made for you! Use our super handy online tool to convert your data.Welcome!

# Binary to Decimal converter

Converting...
Please wait until the conversion process completes.
Success!
Error!{{ error }}

## How to convert Binary to Decimal

A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign "-". The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot "." in many countries.

Formula

Follow these steps to convert a binary number into decimal form:
1. Write the powers of 2 (1, 2, 4, 8, 16, and so on) beside the binary digits from bottom to top.
2. Multiply each digit by it's power.