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Hexadecimal (hex) and octal are both numeral systems used to represent numbers, particularly in computing and mathematics. These systems are not as commonly used as the decimal (base-10) system, but they have specific applications in various fields.
Hexadecimal (Hex)
Hexadecimal, often referred to as “hex,” is a base-16 numeral system. It uses 16 distinct symbols to represent values: the digits 0-9 and the letters A-F (or a-f) to represent the decimal values 10-15. In hex, each digit represents a power of 16.
Octal
Octal is a base-8 numeral system that uses eight symbols (0-7) to represent values. Each digit in an octal number represents a power of 8.
How to convert hex to octal
Convert every hex digit to 4 binary digits, with this table:
| Hex | Binary |
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
| A | 1010 |
| B | 1011 |
| C | 1100 |
| D | 1101 |
| E | 1110 |
| F | 1111 |
convert every 3 binary digits from bit0 to 1 octal digit, with this table:
| Binary | Octal |
| 000 | 0 |
| 001 | 1 |
| 010 | 2 |
| 011 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
See Also
- Binary to Decimal converter
- Binary to hex converter
- Binary to octal converter
- Binary to string converter
- Hex to binary converter
- Hex to decimal converter
FAQs on Hex to Octal
How to convert hex to octal?
To convert a hexadecimal number to octal, follow these steps: Convert the hex number to binary. Group the binary digits in sets of three from right to left. Convert each group of three binary digits to its octal equivalent.
What is the hexadecimal number F3A7C2 in octal?
The hexadecimal number F3A7C2 is equivalent to the octal number 17671402.
Is Hex or octal?
Hexadecimal (hex) and octal are both numeral systems used for representation. Hex uses 16 symbols (0-9, A-F), while octal uses 8 symbols (0-7). Hex is more commonly used in modern computing due to its compatibility with binary data.
How many hex digits is 8 bytes?
One byte consists of 8 bits. Each hex digit represents 4 bits. Therefore, 8 bytes would be represented by 16 hex digits.
How to represent a hex value in C?
In C programming, you can represent a hex value using the prefix 0x. For example, 0x1A represents the hex value 1A.
How many bytes in 1 hex?
Hexadecimal digits represent groups of 4 bits (half a byte) each. So, 2 hex digits represent 1 byte.
How to convert 8-bit binary to octal?
To convert an 8-bit binary number to octal: Group the binary digits in sets of three from right to left, adding leading zeros if needed. Convert each group of three binary digits to its octal equivalent.
