15 16 to Decimal Calculator
Introduction & Importance
Converting numbers from bases 15 and 16 to decimal is a crucial skill in computer science and mathematics. This calculator simplifies the process, making it accessible to everyone.
How to Use This Calculator
- Select the base (15 or 16).
- Enter the number you want to convert.
- Click ‘Calculate’.
Formula & Methodology
The formula for converting from base b to decimal is:
decimal = ∑(digit * b^(position – 1))
Where ‘digit’ is the current digit, ‘b’ is the base, and ‘position’ is the position of the digit from right to left, starting at 1.
Real-World Examples
Example 1: 123 (base 15) to Decimal
1 * 15^2 + 2 * 15^1 + 3 * 15^0 = 228
Example 2: ABC (base 16) to Decimal
A * 16^2 + B * 16^1 + C * 16^0 = 43698
Data & Statistics
| Base | Number | Decimal |
|---|---|---|
| 15 | 123 | 228 |
| 16 | ABC | 43698 |
Expert Tips
- Always double-check your inputs to avoid calculation errors.
- For large numbers, consider using a scientific calculator for more precise results.
Interactive FAQ
What is the difference between base 15 and base 16?
Base 15 uses digits 0-9 and A-E, while base 16 uses digits 0-9 and A-F.
Can I convert from decimal to other bases using this calculator?
No, this calculator only converts from bases 15 and 16 to decimal.