Base-12 Converter
Convert numbers into and out of duodecimal (base 12) using digits 0-9, A, and B. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Allowed digits: 0-9, A (10), B (11).
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is Base-12 Converter?
Duodecimal (base 12, also called dozenal) uses twelve symbols: 0-9, A (10), and B (11). Base 12 has exceptional divisibility (divisible by 2, 3, 4, and 6), making fractions simpler.
How Does It Work?
Expands digits with powers of 12 (1, 12, 144, 1728).
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- A = 10, B = 11.
- Letters C through Z are invalid in base 12.
Practical Applications in Engineering
- Time measurement (12 hours, 60 minutes), inches in a foot, dozens and grosses.
Common Mistakes to Avoid
- Caution: Treating B as 12 instead of 11.
Frequently Asked Questions
Why do dozenal advocates promote base 12?
Because 12 has four non-trivial factors (2, 3, 4, 6), compared to only two factors for 10 (2, 5), allowing 1/3 and 1/4 to terminate cleanly.
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