Base-3 Converter
Convert numbers into and out of ternary (base 3) using digits 0, 1, and 2 with powers of 3. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Enter valid base-3 digits (0, 1, 2).
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is Base-3 Converter?
Ternary (base 3) is a numeral system that uses three symbols: 0, 1, and 2. Each column represents an increasing power of three (1, 3, 9, 27, 81, 243).
How Does It Work?
Converts base-3 strings by multiplying each digit by 3^i and summing the terms.
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- Only digits 0, 1, and 2 are allowed.
- Powers of 3 triple at each step to the left.
Practical Applications in Engineering
- Ternary optical computing and three-valued logic circuits.
- Ternary tree data structures in computer science.
Common Mistakes to Avoid
- Caution: Entering digits 3 or higher.
Frequently Asked Questions
What is balanced ternary?
Balanced ternary is a variation using digits -1, 0, and +1, allowing negative numbers without a sign bit.
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