# Binary to Decimal Converter

This binary to decimal converter can convert any bit/binary number to decimal and it will give you the step by step solution to the provided question.

The decimal number is equal to the sum of binary digits (d_{n}) multiplied
by their power of 2 (2^{n}).

Example Find the decimal value of 100110_{2}: 100110 = 1 × 2^{5} + 1 × 2^{4} + 1 × 2^{3} + 1 × 2^{2} + 1 × 2^{1} + 1 × 2^{0} = 38_{10}.

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## How to use the calculator

The input field only takes binary numbers e.g number that consists of 1s and 0s only example 1001, 1100101 e.t.c. This converter can also convert floating points. You will get the answer with the workings.

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## Binary to Decimal conversion table

Binary | Decimal |
---|---|

0 | 0 |

1 | 1 |

10 | 2 |

11 | 3 |

100 | 4 |

101 | 5 |

110 | 6 |

111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | 10 |

1011 | 11 |

1100 | 12 |

1101 | 13 |

1110 | 14 |

1111 | 15 |

10000 | 16 |

10001 | 17 |

10010 | 18 |

10011 | 19 |

10100 | 20 |