Base-4 Converter
Convert numbers into and out of quaternary (base 4) notation using digits 0, 1, 2, and 3. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Enter digits 0, 1, 2, 3.
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is Base-4 Converter?
Quaternary (base 4) uses four digits: 0, 1, 2, and 3. Because 4 = 2^2, each quaternary digit maps directly to exactly two binary bits.
How Does It Work?
Evaluate positional weights of powers of 4 (1, 4, 16, 64, 256) or map each digit directly to 2 binary bits (0=00, 1=01, 2=10, 3=11).
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- Only digits 0, 1, 2, 3 are valid.
- Each digit corresponds to 2 binary bits.
Practical Applications in Engineering
- DNA sequence encoding (mapping nucleotides A, C, G, T to 0, 1, 2, 3).
- Hilbert curve spatial data indexing in GIS systems.
Common Mistakes to Avoid
- Caution: Entering 4 or higher.
Frequently Asked Questions
How is base 4 related to binary?
Each base-4 digit corresponds to exactly 2 binary bits (00, 01, 10, 11).
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