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* Binary - Octal Converter* is an online tool to perform conversion between binary to octal number systems in digital electronics & communications. The solved example problems & conversion table may useful to understand how to do such octal - binary conversions manually. By using this converter user may find the equivalent octal or binary numbers for the binary or octal input respectively by slecting the appropriate radio button & supplying the respective inputs.

The number 0 & 1s are called binary number and represented by base-2 notations, whereas, the numbers 0, 1, 2, 3, 4, 5, 6, & 7 are called as octal numbers and represented by base-8 notations. The binary to octal conversion can be done by grouping of bits method. Follow the below steps to perform such conversions manually.

__step 1:__ Separate the digits of a given binary number into groups from right to left side, each containing 4 bits.

__step 2:__ Add 0's to the left, if the last group doesn't contain 3 digits.

__step 3:__ Find the equivalent octal number for each group.

__step 4:__ Write the all groups octal numbers together, maintaining the group order provides the equivalent octal number for the given binary.

**Solved Example Problem**

The below solved example problem may useful to understand how to perform binary to octal number conversion.

**Problem**

Convert Binary number (111110011001)_{2} to its octal equivalent

This conversion can be done by finding the binary equivalent for an each digit of the octal number, combining them together in the same order. The below steps may useful to know how to perform octal to binary number conversion.

__step 1:__ Separate the digits of the given octal number, if it contains more than 1 digit.

__step 2:__ Find the equivalent binary number for each digit of octal number. Add 0's to the left if any of the binary equivalent is shorter than 3 bits.

__step 4:__ Write the all group's binary numbers together, maintaining the same group order provides the equivalent binary for the given octal number.

**Solved Example Problem**

The below solved example problem may useful to understand how to perform octal to binary number conversion.

**Problem**

Convert the octal 7631_{8} to its binary equivalent.

**Number Conversion Table**

The below is the conversion table for Decimal, Binary, Octal & Hex number systems.

Decimal |
Binary |
Octal |
Hex |
---|---|---|---|

0 | 0000 | 0 | 0 |

1 | 0001 | 1 | 1 |

2 | 0010 | 2 | 2 |

3 | 0011 | 3 | 3 |

4 | 0100 | 4 | 4 |

5 | 0101 | 5 | 5 |

6 | 0110 | 6 | 6 |

7 | 0111 | 7 | 7 |

8 | 1000 | 10 | 8 |

9 | 1001 | 11 | 9 |

10 | 1010 | 12 | A |

11 | 1011 | 13 | B |

12 | 1100 | 14 | C |

13 | 1101 | 15 | D |

14 | 1110 | 16 | E |

15 | 1111 | 17 | F |

In digital electronics & communications, the conversion between different number systems play vital role to perform various operations. The above solved example & number conversion table may useful to understand how to perform binary - octal calculations, however, when it comes to online, this binary - octal converter may useful to perform such computations as easy & quick as possible.

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