Octal = 110

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CALCULATE

CALCULATE

* Hex - Octal Converter* is an online tool to perform conversion between octal & hex number systems in digital electronics & communications. The numbers & alphabets 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E & F are known as hexadecimal numbers and represented by base-16 notation. Whereas, the digits 0, 1, 2, 3, 4, 5, 6 & 7 are known as octal numbers generally represented by base-8 notation. The solved example problems & conversion table may useful to understand how to do such hex - octal conversions manually. By using this converter user may find the equivalent octal or hex numbers for the hex or octal input respectively by slecting the appropriate radio button & supplying the respective inputs.

One of the easiest conversion in digital electronics & communications. Follow the below steps to perform hex to octal number conversion.

__step 1:__ Separate the digits of the given hex 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 4 bits.

__step 3:__ Write the all groups binary numbers together, maintaining the same group.

__step 4:__ Separate the binary digits into groups, each containing 3 bits or digits from right to left. Add 0s to the left, if the last group contains less than 3 bits.

__step 5:__ Find the octal equivalent for each group.

__step 6:__ Write all octal equivalent of each digit together where keeping the same order provides the octal equivalent for the given hexadecimal.

**Solved Example Problem**

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

**Example Problem**

Convert the Hexadecimal (B 5 A)_{16} to its octal equivalent.

Similarly, the octal to hex number conversion can be done by following the below steps.

__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 3:__ Write the all groups binary numbers together, maintaining the same group order.

__step 4:__ Separate the binary digits into groups, each containing 4 bits or digits from right to left. Add 0s to the left, if the last group contains less than 4 bits.

__step 5:__ Find the hex equivalent for each group.

__step 6:__ Write all hex equivalent of each digit together where keeping the same order provides the hexadecimal equivalent for the given octal number.

**Solved Example Problem**

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

**Example Problem**

Convert octal number (7 5 2)_{8} to its equivalent hexadecimal.

**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 |