Hex to Decimal Calculator
The Hex to Decimal Calculator is a free online tool that converts hexadecimal (base-16) numbers into decimal (base-10) values instantly. It is especially useful for programmers, computer science students, electronics engineers, and anyone working with digital systems.
What Is a Hexadecimal Number?
Hexadecimal is a numbering system with a base of 16. It uses sixteen symbols:
- 0–9 represent values 0 to 9.
- A = 10
- B = 11
- C = 12
- D = 13
- E = 14
- F = 15
Because one hexadecimal digit represents four binary bits, hexadecimal is widely used in computing and electronics.
Hex to Decimal Formula
Decimal = Σ (Digit × 16Position)
Each hexadecimal digit is multiplied by 16 raised to its position, beginning with zero on the right-hand side. The results are then added together to obtain the decimal equivalent.
Example Conversion
Convert hexadecimal 2AF into decimal.
| Digit | Decimal Value | Calculation |
|---|---|---|
| 2 | 2 | 2 × 16² = 512 |
| A | 10 | 10 × 16¹ = 160 |
| F | 15 | 15 × 16⁰ = 15 |
512 + 160 + 15 = 687
How to Use This Calculator
- Enter a hexadecimal number.
- Click Convert.
- View the decimal equivalent instantly.
- Use Reset to clear the calculator.
Applications
- Programming
- Computer Architecture
- Networking
- Memory Addressing
- Embedded Systems
- Digital Electronics
- Web Development (Hex Colors)
- Cybersecurity
Advantages
- Fast conversion.
- Accurate results.
- Supports uppercase and lowercase hexadecimal digits.
- No software installation required.
- Works on desktop and mobile devices.
Frequently Asked Questions
Can I enter lowercase letters?
Yes. Both uppercase and lowercase hexadecimal digits (A–F or a–f) are accepted.
What is A in hexadecimal?
The hexadecimal digit A represents the decimal value 10.
What is FF in decimal?
FF equals 255 in decimal.
Why is hexadecimal used in computers?
Hexadecimal provides a compact, human-readable representation of binary data, making it easier to work with memory addresses, machine code, color values, and digital systems.
Conclusion
The Hex to Decimal Calculator is a simple and reliable conversion tool that instantly converts hexadecimal values into decimal numbers. Whether you're learning number systems or developing software, this calculator provides fast and accurate conversions for everyday use.