# Binary to Decimal Converter

In order to use this new **binary to decimal converter** tool,
type any binary value like 1010 into the left field below, and then hit the Convert button.
You can see the result in the right field below.
It is possible to convert up to 63 binary characters to decimal.

### Binary to decimal conversion result in base numbers

## Binary System

**Binary** is the simplest kind of number system that uses only two digits of 0 and 1.
By using these digits computational problems can be solved by machines because in
digital electronics a transistor is used in two states.
Those two states can be represented by 0 and 1.
That is why this number system is the most preferred in modern computer engineer,
networking and communication specialists, and other professionals.

## Decimal System

**Decimal** number system is the most commonly used and the most familiar one to the general public.
It is also known as *Base 10 numbering* system since it is based on 10 following symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
In decimal system, every digit has its own position as well as the decimal point.
I.e. the number 356.74 has 4 in the Hundredths position, 7 in the Tenths position,
6 in the Units position, 5 in the Tens position, and 3 in the Hundreds position.
*Decimal number system* is also one of the oldest known numeral system,
which is historically related to Hindu-Arabic numeral system.

#### Binary to decimal conversion examples

- (10011)
_{2}= (19)_{10} - (110101)
_{2}= (53)_{10} - (10001011)
_{2}= (139)_{10}

Related converters:

Decimal To Binary Converter

#### Binary Decimal Conversion Chart Table

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

0000 | 0 |

0001 | 1 |

0010 | 2 |

0011 | 3 |

0100 | 4 |

0101 | 5 |

0110 | 6 |

0111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | 10 |

1011 | 11 |

1100 | 12 |

1101 | 13 |

1110 | 14 |

1111 | 15 |