Hex to Decimal Calculator
Enter a hexadecimal value (with or without 0x) and instantly convert it to decimal.
What this hex to dec calculator does
This tool converts a hexadecimal number (base 16) into a decimal number (base 10). Hexadecimal is used heavily in programming, networking, and computer architecture because it represents binary values compactly. Decimal is what most people use every day for counting and arithmetic.
If you have ever seen values like 0x1F, 0xFF, or DEADBEEF, this calculator helps you quickly translate those values into standard decimal form.
How to use the calculator
- Type your hexadecimal value in the input box.
- You can include the 0x prefix or leave it out.
- Click Convert to Decimal (or press Enter).
- Read the decimal output and extra details (normalized hex, bit length, and conversion steps for shorter values).
Hex digits and their decimal equivalents
| Hex Digit | Decimal Value |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| A | 10 |
| B | 11 |
| C | 12 |
| D | 13 |
| E | 14 |
| F | 15 |
How hexadecimal to decimal conversion works
Base-16 place value
In decimal, each position is a power of 10. In hexadecimal, each position is a power of 16. Starting from the right, positions represent:
- 16^0 (ones place)
- 16^1 (sixteens place)
- 16^2 (256s place)
- 16^3 (4096s place), and so on
To convert, multiply each hex digit by its positional power of 16, then add all results together.
Manual example: 1A3F
- 1 in the 16^3 place: 1 × 4096 = 4096
- A (10) in the 16^2 place: 10 × 256 = 2560
- 3 in the 16^1 place: 3 × 16 = 48
- F (15) in the 16^0 place: 15 × 1 = 15
- Total: 4096 + 2560 + 48 + 15 = 6719
Where hex-to-dec conversion is useful
- Programming: Memory addresses, bit masks, and low-level debugging.
- Web development: Color values like #FF5733 (commonly split into RGB channels).
- Networking: MAC addresses and packet inspection output.
- Cybersecurity: Log analysis, binary inspection, and forensic workflows.
- Embedded systems: Register values and firmware diagnostics.
Common mistakes to avoid
- Using invalid letters like G or Z (hex only allows A-F).
- Confusing zero (0) with the letter O.
- Forgetting that A-F represent values 10-15.
- Dropping digits when copying long hexadecimal values.
FAQ
Can I enter lowercase letters?
Yes. Values like ff and FF are treated the same.
Can I include 0x at the beginning?
Yes. The calculator accepts both FF and 0xFF.
Does this support very large numbers?
Yes. The calculator uses BigInt for accurate conversion of very large hexadecimal values in modern browsers.
Final thoughts
A reliable hex to dec calculator saves time and prevents manual errors—especially when working with long values. Use the converter above for quick answers, and use the step breakdown to strengthen your understanding of how base conversion works.