Base Conversion ToolsFree Interactive Tool
Base-11 Converter
Convert numbers into and out of undecimal (base 11) using digits 0-9 and letter A. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Engine: Client-Side Verified (0ms Latency)
Allowed digits: 0-9 and A (10).
Input Error:Invalid input format.
Calculated Output
Primary Representation
Calculating...
Step-by-Step Mathematical Proof
Active DerivationReady. Enter input above to generate derivation.
What Is Base-11 Converter?
Undecimal (base 11) uses eleven symbols: 0 through 9 and A (representing value 10).
How Does It Work?
Expands each digit by powers of 11 (1, 11, 121, 1331).
Formula & Rules
Mathematical Algorithm
N_{10} = \sum d_i 11^i \quad (d_i \in \{0..9, A\})
Worked Problem
Step-by-Step Example
Convert 5A3_{11} to decimal:
(5 × 121) + (10 × 11) + (3 × 1) = 605 + 110 + 3 = 718_{10}.
Important Rules & Edge Cases
- A represents 10.
- Letters B through Z are invalid.
Practical Applications in Engineering
- ISBN-10 check digit algorithms (where X represents 10 modulo 11).
Common Mistakes to Avoid
- Caution: Treating A as 1 instead of 10.
FAQ
Frequently Asked Questions
What is 11 in base 11?
11 in decimal is written as 10 in base 11.
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