Convert any hexadecimal (base-16) number to octal (base-8) instantly with Hexadecimal to Octal Converter. It is free, accurate, and efficient hex to octal converter. Whether you\’re working on digital electronics, computer architecture, or programming assignments, this tool offers a smooth conversion experience with clear explanations and step-by-step logic.
Hexadecimal to Octal Converter
Conversion of hexadecimal to octal cannot be done directly. Firstly we need to convert hexadecimal into its equivalent decimal number then decimal to octal. Follow the steps below to understand the process.
Hex to Octal Conversion
Result
Hexadecimal to Octal Conversion Steps
We can convert a hexadecimal number to octal in two steps.
STEP 1– Convert the Hexadecimal Number to Binary
To convert a hexadecimal number to binary, we write 4 bit binary equivalent of each hexadecimal digit in the same order.
STEP 2– Convert the Binary Number to Octal
Using the equalities we obtained in steps 1 and 2, we reach the following result.
Summary
The hexadecimal number system (base-16) uses sixteen digits: 0-9 and A-F. It is widely used in computer science and digital electronics because it compresses long binary numbers into a shorter, more readable form.
Hexadecimal to Octal Conversion Examples
- 1 = 1 (Decimal)
- A = 10 (Decimal)
- F = 15 (Decimal)
- 1A3 (Hex) = 419 (Decimal)
The octal number system (base-8) uses eight digits: 0-7. It is often used in computing, especially in systems where grouping binary digits in threes simplifies machine-level interpretation.
Hex to Octal Conversion Table
| Hexadecimal | Decimal | Binary | Octal |
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 2 | 2 | 10 | 2 |
| 3 | 3 | 11 | 3 |
| 4 | 4 | 100 | 4 |
| 5 | 5 | 101 | 5 |
| 6 | 6 | 110 | 6 |
| 7 | 7 | 111 | 7 |
| 8 | 8 | 1000 | 10 |
| 9 | 9 | 1001 | 11 |
| A | 10 | 1010 | 12 |
| B | 11 | 1011 | 13 |
| C | 12 | 1100 | 14 |
| D | 13 | 1101 | 15 |
| E | 14 | 1110 | 16 |
| F | 15 | 1111 | 17 |
