Hexadecimal to Octal Converter
Hexadecimal and octal number systems are used a lot in computers and electronics. This tool helps you change a number from hexadecimal (base 16) to octal (base 8). Let’s first understand what these systems are.
What Is Hexadecimal?
Hexadecimal, or "hex" for short, is a base-16 number system. That means it uses 16 symbols to count:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
Here, A = 10, B = 11, ..., F = 15
Here, A = 10, B = 11, ..., F = 15
What Is Octal?
Octal is a base-8 number system. It uses only 8 digits:
0, 1, 2, 3, 4, 5, 6, 7
How to Convert Hexadecimal to Octal
We can’t directly convert hex to octal. But we can do it in two steps:
- Step 1: Convert hex to decimal.
- Step 2: Convert that decimal to octal.
Example: Convert 1F (hex) to octal
Step 1: Hex
Step 2: Decimal 31 to Octal → 31 ÷ 8 = 3 R7 → 3 ÷ 8 = 0 R3
So, the answer is 37₈
1F = (1×16) + (15) = 31Step 2: Decimal 31 to Octal → 31 ÷ 8 = 3 R7 → 3 ÷ 8 = 0 R3
So, the answer is 37₈
Hexadecimal to Octal Conversion Table
| Hex | Decimal | Octal |
|---|---|---|
| 1 | 1 | 1 |
| A | 10 | 12 |
| F | 15 | 17 |
| 1F | 31 | 37 |
| 2A | 42 | 52 |
| 3E | 62 | 76 |
| 7B | 123 | 173 |
Why Do We Learn This?
In computer science and electronics, hex and octal are used to make long binary numbers shorter and easier to read. Learning how to convert between them helps you understand how computers store and manage data.