Home Number Base Conversion Binary to Decimal

# Binary to Decimal Converter - Base 2 to Base 10

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bin

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**Complete List of Binary Converters**

#### Conversion Units

#### Definition : Binary Number System (Base 2)

A binary number system represents a number in terms of only two numerals, i.e., 0 (zero) and 1 (one).
In the word "binary", "bi" means "two". Binary numbers are represented with 2 at their base, for example 1010101_{2}.

#### Definition : Decimal Number System (Base 10)

Decimal number is the most commonly used number system. It is a base 10 number system, uses combinations of numerals 0 to 9 to represent any number. It is widely used in everyday life for representing and manipulating numbers in many cultures and scientific applications.

## Binary to Decimal Conversion Examples

binary (base 2) Number | Equivalent decimal (base 10) Number |
---|---|

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 |