\begin{align} 110_{2} &= 1\times2^{2}+1\times2^{1}+0\times2^{0}=6_{10} \\ \\ 6_{10} &= 110_{2}:\\ \end{align}

6 / 2 = 3, remainder **0**, (LSB - *Least Significant Byte*)

3 / 2 = 1, remainder **1**

1 / 2 = 0, remainder **1**, (MSB - *Most Significant Byte*)

Decimal number (positive) | Binary number |
---|---|

0 | 0 |

1 | 1 |

2 | 10 |

3 | 11 |

4 | 100 |

5 | 101 |

6 | 110 |

7 | 111 |

8 | 1000 |

9 | 1001 |

10 | 1010 |

11 | 1011 |

12 | 1100 |

13 | 1101 |

14 | 1110 |

15 | 1111 |

16 | 10000 |

32 | 100000 |

64 | 1000000 |

128 | 10000000 |

256 | 100000000 |

## Number systems

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 decimal numeral system (also called base-ten and occasionally denary) has ten as its base, which, in decimal, is written 10, as is the base in every positional numeral system.

In mathematics and digital electronics, a hexadecimal number (also base 16, or hex) is a number expressed in the hexadeximal numeral system - a positional numeral system with a radix, or base, of 16.