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.

#### conversion table

binary (base 2) | quinary (base 5) | binary (base 2) | quinary (base 5) |
---|

1 | = 1 | 1011 | = 21 |

10 | = 2 | 1100 | = 22 |

11 | = 3 | 1101 | = 23 |

100 | = 4 | 1110 | = 24 |

101 | = 10 | 1111 | = 30 |

110 | = 11 | 10000 | = 31 |

111 | = 12 | 10001 | = 32 |

1000 | = 13 | 10010 | = 33 |

1001 | = 14 | 10011 | = 34 |

1010 | = 20 | 10100 | = 40 |