Binary to Decimal Converter

Easily convert binary numbers to decimal equivalents. This tool simplifies the process for you.

Please enter a valid binary number (only 0 and 1).

What is a Binary Number?

Binary is a number system that uses only two digits: 0 and 1. Each digit represents a power of 2, starting from 20 on the right. It is commonly used in computing and digital electronics.

What is a Decimal Number?

The decimal system, also known as base-10, is the standard system for denoting integer and non-integer numbers. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Binary to Decimal Quick Reference Table

BinaryDecimalCalculation
000
111 × 20 = 1
1021 × 21 + 0 × 20 = 2
1131 × 21 + 1 × 20 = 3
10041 × 22 + 0 × 21 + 0 × 20 = 4
10151 × 22 + 0 × 21 + 1 × 20 = 5
11061 × 22 + 1 × 21 + 0 × 20 = 6
11171 × 22 + 1 × 21 + 1 × 20 = 7

How to Convert Binary to Decimal

To convert a binary number to decimal:

  1. Write down the binary number.
  2. Assign powers of 2 to each digit, starting with 20 from the right.
  3. Multiply each binary digit by its corresponding power of 2.
  4. Add up all the resulting values to get the decimal equivalent.

Example: Convert binary 1011 to decimal:

Sum = 8 + 0 + 2 + 1 = 11