# What is Binary Number

## What is Binary Digit

Binary digit system is a notation to repsent numbers.

In decimal system, we use 10 symbols, 0 to 9. When a number is larger than 9, we start over by placing a new digit on the left. For example, 10 is 1 on left and 0 on right.

A binary number notation uses just 2 symbols.

A binary digit is either 1 or 0. For example,
`1001`

is four binary digits.

A binary digit is also called **bit**. So, `1001`

is 4 bits.

Here's a table showing decimal and binary:

decimal | binary |
---|---|

0 | 0 |

1 | 1 |

2 | 10 |

3 | 11 |

4 | 100 |

Binary digits is used in computers, because electronics deal with on/off signals, most easily represented by binary digits.

## Possible Size in Binary Number

If a binary number has n digits, it has 2^n possible values.

number of bits | possible distinct values |
---|---|

1 | 2 |

2 | 4 |

3 | 8 |

4 | 16 |

5 | 32 |

6 | 64 |

7 | 128 |

8 | 256 |

## What is Bit

A bit is a single binary digit. It's has 2 possible values, usually represented as 1 or 0. With 1 usually means on, 0 is off. Or, 1 is true, 0 is false.