Use the below **Binary to Decimal Converter** to convert a binary number to decimal number:

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## Binary number

Binary numbering system uses only two symbols 0 and 1. Each digits of a binary number is referred to as *bits*. Binary system is also known as *base -2 system*. Each digit is represented by the increasing *power of 2* from the LSB (Least Significant Bit). Binary system is the heart of digital electronics and is used for information flow. In digital electronics, 0 and 1 are used to denote logic states, high and low. Arithmetic operations are also possible in binary system.

## Decimal Number

Whole number, a decimal point and a fractional value combines to form a decimal number. The decimal point separates the whole number part from the fractional part of the number. Each digit of a decimal number can be any number from 0 to 9. Any value less than 1 is written to the right of decimal point. Decimal numbers are also known as *base-10 number* or counting numbers. Place value of decimal number varies as the whole number powers of 10 starting from the left of decimal point. Similarly, the place value of digits left to decimal point varies as the division of power of tens.

## Follow the below steps to convert any binary number to decimal number

A binary number can be converted into decimal number using the following formula:

Decimal Number = (D_{n} X 2^{n} + …………… + D_{2} X 2^{2} + D_{1} X 2^{1 }+ D_{0} X 2^{0}).

Where,

D_{n }– D_{0} → digits of a binary number.

n → Position count starting from 0 (left to right).

### Example: Convert 1111_{2} to decimal number

**Decimal number** = (1 X 2^{3} + 1 X 2^{2} + 1 X 2^{1 }+ 1 X 2^{0}) = 8 + 4 + 2 + 1 = 15_{10}

### Read More: How to convert a binary number to a decimal number

## Binary to Decimal conversion table

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

0001 | 01 |

0010 | 02 |

0011 | 03 |

0100 | 04 |

0101 | 05 |

0110 | 06 |

0111 | 07 |

1000 | 08 |

1001 | 09 |

1010 | 10 |

1011 | 11 |

1100 | 12 |

1101 | 13 |

1110 | 14 |

1111 | 15 |

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