# How to convert octal to binary ?

Let's convert the octal number into binary numbers.

One octal value = combination of 3 binary bits.

Octal Number SystemBinary Number System

#### Example

3 Binary Bits |
Octal |
---|---|

000 |
0 |

001 |
1 |

010 |
2 |

011 |
3 |

100 |
4 |

101 |
5 |

110 |
6 |

111 |
7 |

In order to convert the octal number into binary, we need to express every octal value into 3 binary bits.

## (53)_{8} in Binary

Binary equivalent of **5** is **(101) _{2}**.

Binary equivalent of **3** is **(011) _{2}**.

(53)_{8}

(101)(011)

(101011)_{2}

## (631)_{8} in Binary

Binary equivalent of **6** is **(110) _{2}**.

Binary equivalent of **3** is **(011) _{2}**.

Binary equivalent of **1** is **(001) _{2}**.

(631)_{8}

(110)(011)(001)

(110011001)_{2}