Octal to Hexadecimal converter is a free online tool to convert data. Try the below converter now!
What is Octal?
Octal number system is a base-8 system that uses eight symbols: 0 through 7. Each position in an octal number represents a power of 8, with the rightmost position being (8^0), the next being (8^1), and so on. For Example: 345 (octal)
Each octal digit is multiplied by its corresponding power of 8 and summed to convert to decimal.
What is Hexadecimal?
The hexadecimal number system is a base-16 system that uses sixteen symbols: 0-9 for values 0 to 9, and A-F for values 10 to 15. Each position in a hexadecimal number represents a power of 16. For Example: 2F (hexadecimal)
Each hexadecimal digit is multiplied by its corresponding power of 16 for conversion to decimal.
Octal to Hexadecimal Conversion
To convert from octal to hexadecimal, the most basic method is to first convert the octal number to binary (because each octal digit corresponds to 3 binary digits), and then convert the binary number to hexadecimal (where each hexadecimal digit corresponds to 4 binary digits).
- Convert the octal number to binary by replacing each octal digit with its corresponding 3-bit binary equivalent.
- Group the binary digits into sets of four, starting from the right. If necessary, pad the leftmost group with zeros.
- Convert each group of four binary digits to its hexadecimal equivalent.
Steps to Convert Octal to Hexadecimal
- Convert Octal to Binary: Replace each octal digit with its 3-bit binary equivalent using the octal-to-binary table.
- Group Binary Digits: Group the binary digits into sets of four.
- Convert Binary to Hexadecimal: Convert each 4-bit group into a hexadecimal digit.
Example Conversions
Let’s go through a few examples to better understand how to convert octal to hexadecimal.
Example 1: Convert 345 (octal) to hexadecimal.
- Convert each octal digit to binary:
- 3 (octal) = 011 (binary)
- 4 (octal) = 100 (binary)
- 5 (octal) = 101 (binary) The full binary number is 011100101.
- Group the binary digits into sets of four: 0001 1100 0101.
- Convert each group to hexadecimal:
- 0001 (binary) = 1 (hex)
- 1100 (binary) = C (hex)
- 0101 (binary) = 5 (hex)
So, 345 (octal) is equal to 1C5 (hexadecimal).
Example 2: Convert 77 (octal) to hexadecimal.
- Convert each octal digit to binary:
- 7 (octal) = 111 (binary)
- 7 (octal) = 111 (binary) The full binary number is 111111.
- Group the binary digits into sets of four: 0011 1111.
- Convert each group to hexadecimal:
- 0011 (binary) = 3 (hex)
- 1111 (binary) = F (hex)
So, 77 (octal) is equal to 3F (hexadecimal).
Example 3: Convert 12 (octal) to hexadecimal.
- Convert each octal digit to binary:
- 1 (octal) = 001 (binary)
- 2 (octal) = 010 (binary) The full binary number is 001010.
- Group the binary digits into sets of four: 0000 1010.
- Convert each group to hexadecimal:
- 0000 (binary) = 0 (hex)
- 1010 (binary) = A (hex)
So, 12 (octal) is equal to 0A (hexadecimal).
Octal to Hexadecimal Conversion Table
Here’s a quick reference table showing the conversion of octal digits to their binary and hexadecimal equivalents:
| Octal | Binary | Hexadecimal |
|---|---|---|
| 0 | 000 | 0 |
| 1 | 001 | 1 |
| 2 | 010 | 2 |
| 3 | 011 | 3 |
| 4 | 100 | 4 |
| 5 | 101 | 5 |
| 6 | 110 | 6 |
| 7 | 111 | 7 |
Online Octal to Hexadecimal Converter
Using an online converter simplifies the process of converting octal numbers to hexadecimal, especially when dealing with large numbers. These tools are widely used in computer science, digital electronics, and networking applications.
Steps to Use an Online Converter
- Enter the octal number in the input field.
- Click the “Convert” button.
- The tool will display the equivalent hexadecimal number.