**Binary Number System:**

In mathematics and digital electronics, a binary number is a number expressed in the binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers and computer-based devices. Each digit is referred to as a bit.

**Decimal Number System:**

The decimal numeral system (also called base-ten ) has ten as its base, which, in decimal, is written 10, as is the base in every positional numeral system. It is the numerical base most widely used by modern civilizations.

Binary Number |
Decimal 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 |

10000 | 16 |

10001 | 17 |

10010 | 18 |

10011 | 19 |

10100 | 20 |

10101 | 21 |

10110 | 22 |

10111 | 23 |

11000 | 24 |

11001 | 25 |

11010 | 26 |

11011 | 27 |

11100 | 28 |

11101 | 29 |

11110 | 30 |

11111 | 31 |

100000 | 32 |

1000000 | 64 |

10000000 | 128 |

100000000 | 256 |

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