Hex to Decimal Converter
Quickly and accurately convert hexadecimal (base-16) numbers to decimal (base-10) numbers.
How It Works
Hexadecimal (Hex) is a base-16 number system widely used in computing and programming. It uses 16 symbols: the numbers 0-9 to represent values zero to nine, and the letters A-F to represent values ten to fifteen.
Decimal is the standard base-10 number system used in everyday life, relying on the digits 0-9.
Our converter takes any valid hex string and mathematically converts it into its decimal equivalent. It supports very large hexadecimal strings (like memory addresses or cryptographic keys) without losing precision, thanks to big integer processing.
Formula
To convert a hex number to decimal, multiply each digit by 16 raised to the power of its position (starting from 0 on the right) and sum the results.
For example, converting the hex number 1A3F:
- F (15) × 16^0 = 15 × 1 = 15
- 3 (3) × 16^1 = 3 × 16 = 48
- A (10) × 16^2 = 10 × 256 = 2,560
- 1 (1) × 16^3 = 1 × 4,096 = 4,096
Total: 4,096 + 2,560 + 48 + 15 = 6,719
Common Conversions
| Hexadecimal | Decimal | Notes |
|---|---|---|
| 0xA | 10 | |
| 0xFF | 255 | Maximum value for an 8-bit byte. |
| 0xFFFF | 65,535 | Maximum value for a 16-bit integer. |
| 0xFFFFFF | 16,777,215 | Maximum 24-bit color value. |
| 0xFFFFFFFF | 4,294,967,295 | Maximum value for a 32-bit unsigned integer. |
FAQs
Can I include prefixes like "0x" or "#"?
Yes! The converter automatically ignores 0x, 0X, or # prefixes commonly used in programming and web design.
What are common uses for Hexadecimal?
- Colors: Web colors are defined in hex (e.g.,
#FFFFFFfor white). - Memory Addresses: Debuggers display memory locations in hex format.
- Cryptography: Hashes and encryption keys are typically displayed as hex strings.
Sources & Review
- Standard mathematical numeral systems and base conversion rules.
- Last Reviewed: September 2026