# From Binary to Decimal System

Converts numbers from binary system to decimal.

## About Binary System

The binary system is a way of representing numbers using only two digits: 0 and 1. Unlike the decimal system, which has ten digits (0 to 9), the binary system has only two digits, and we use them repeatedly.

## How to Convert Binary to Decimal

Converting a number from binary to decimal is quite simple. In the binary system, we have only two digits: 0 and 1.

To convert a number, for example, 1011 from binary to decimal, multiply each digit by 2 raised to the corresponding power and add up the results.

For the number 1011:

- 1 * 2^3 = 8
- 0 * 2^2 = 0
- 1 * 2^1 = 2
- 1 * 2^0 = 1

Now add up all the values obtained: 8 + 0 + 2 + 1 = 11. Thus, the number 1011 in binary is equal to 11 in the decimal system.

So, to convert a number from the binary system to the decimal system, multiply each digit by the corresponding power of 2 and add the results.

## Common Binary Numbers

1 | 1 |

10 | 2 |

11 | 3 |

100 | 4 |

101 | 5 |

110 | 6 |

111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | 10 |

110010 | 50 |

1100100 | 100 |

111110100 | 500 |

1111101000 | 1000 |

1001110001000 | 5000 |

10011100010000 | 10000 |

11000011010100000 | 100000 |

11110100001001000000 | 1000000 |