Hex to Decimal
Convert hexadecimal strings into base-10 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, A-F).
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is Hex to Decimal?
Hex to decimal conversion calculates the base-10 numerical equivalent of a hexadecimal value by multiplying each digit by its power-of-16 positional weight.
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 its 0-indexed position from right to left, and sum the products.
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- Digits A, B, C, D, E, F represent 10, 11, 12, 13, 14, 15.
- Case-insensitive (2f is identical to 2F).
Practical Applications in Engineering
- Translating memory addresses into decimal byte offsets.
- Converting CSS hex colors into decimal RGB values.
- Debugging embedded systems registers.
Common Mistakes to Avoid
- Caution: Treating letters as their alphabetical index (e.g. A as 1 instead of 10).
- Caution: Confusing base 16 with base 10.
Frequently Asked Questions
What is 10 in hex in decimal?
10 in hexadecimal is 16 in decimal (1×16 + 0×1 = 16).
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Convert hexadecimal strings (0-9, A-F) into decimal numbers using positional powers of 16.
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