Base-13 Converter
Convert numbers into and out of tridecimal (base 13) using digits 0-9 and letters A, B, C. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Allowed digits: 0-9 and A (10), B (11), C (12).
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is Base-13 Converter?
Tridecimal (base 13) uses thirteen symbols: 0 through 9, A (10), B (11), and C (12).
How Does It Work?
Expands digits with powers of 13 (1, 13, 169, 2197).
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- A=10, B=11, C=12.
Practical Applications in Engineering
- Mathematical puzzles (such as Douglas Adams’ Hitchhiker joke: 6 × 9 = 42 in base 13).
Common Mistakes to Avoid
- Caution: Entering letters D or higher.
Frequently Asked Questions
Does 6 × 9 = 42 in base 13?
Yes! 6 × 9 = 54 in decimal. In base 13, 4 × 13 + 2 = 54, so it is written as 42_{13}.
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