Hexadecimal to Decimal
Convert hexadecimal strings (0-9, A-F) into decimal numbers using positional powers of 16. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Enter hex characters (0-9 and A-F, case-insensitive).
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is Hexadecimal to Decimal?
Hexadecimal to decimal conversion evaluates a base-16 number into standard base-10 decimal format by multiplying each hex character by its positional power of 16.
How Does It Work?
Substitute letters A through F with their decimal values (10 through 15). Multiply each digit by 16^i where i is the position index from the right, and add all terms together.
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- Characters A-F represent values 10 through 15.
- Case does not matter: "1a3" and "1A3" are identical.
Practical Applications in Engineering
- Translating memory addresses into decimal offsets.
- Converting hex color channels to 0-255 RGB decimal values.
- Decoding cryptographic hashes and raw byte dumps.
Common Mistakes to Avoid
- Caution: Treating A as 0 or 1 instead of 10.
- Caution: Entering invalid characters like G, H, or Z.
Frequently Asked Questions
What is 0xFF in decimal?
0xFF equals 255 in decimal: (15 × 16) + 15 = 255.
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