Hex to Octal Converter

What is the Hex to Octal Converter Tool?

The Hex to Octal Converter is a specialized calculator for converting hexadecimal numbers (base 16) to octal numbers (base 8). It simplifies the process by handling each conversion step automatically.

To use the converter, enter a hexadecimal number (such as 0 or F) and click the Convert button. The tool translates each hex digit into its binary equivalent, groups the binary digits, and converts them to the corresponding octal number.

For example, entering the hex number 9 instantly produces its octal equivalent.

Whether you're working through complex math problems or just need a quick conversion for a technical task, the Hex to Octal Converter is a reliable solution. It accurately represents numbers across different systems, making it essential for anyone working with hex and octal.

Also check out our similar tool: Octal to Hex converter.

Understanding Hexadecimal and Octal Numbers

Hexadecimal and octal are two number systems commonly used in computing and digital electronics.

Hexadecimal Numbers (Base 16)

Hexadecimal, or hex, is a base-16 number system. It uses sixteen symbols: digits 0-9 and letters A-F, where A represents 10, B represents 11, and so on through F, which represents 15. Hexadecimal is compact and can represent large binary numbers efficiently. For example, the hexadecimal number "1A3" translates to binary as 0001 1010 0011.

Octal Numbers (Base 8)

Octal is a base-8 number system using digits 0-7. It's useful in computing for its clean, direct mapping to binary. For instance, the decimal number 8 is represented as 10 in octal.

Hexadecimal to Octal Conversion

To convert a hexadecimal number to octal, follow these steps:

1. Convert each hexadecimal digit to its binary equivalent.
2. Group the binary digits into sets of three, starting from the right.
3. Convert each group of binary digits to its corresponding octal digit.

For example, to convert the hexadecimal number "9F" to octal:

1. Convert "9" to binary (1001) and "F" to binary (1111).
2. Combine into 10011111, then group into sets of three starting from the right: 010 011 111 (add a leading zero as needed).
3. Convert each group to octal: 010 (2), 011 (3), and 111 (7), giving the octal number 237.

Hex to Octal Conversion Table

Hexadecimal	Octal
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	11
A	12
B	13
C	14
D	15
E	16
F	17