Base-3 to Decimal Converter
Ever felt like you’re stuck in a math maze, trying to decode numbers from one system to another? Whether you’re a student tackling a tricky assignment or a curious mind exploring number systems, converting base-3 (ternary) numbers to decimal can feel like solving a puzzle without the instructions. But don’t worry—our Base-3 to Decimal Converter is here to save the day! With just a few clicks, you can transform those mysterious base-3 digits into familiar decimal numbers. Think of it as your personal number translator, making math feel less like a chore and more like a fun challenge. Ready to make your life easier? Let’s dive in!
Enter a base-3 number to convert it to decimal.
How It Works
The conversion from base-3 to decimal is simpler than it sounds! Every digit in a base-3 number represents a power of 3, starting from the rightmost digit (which is 30). For example, the base-3 number 120 is calculated as:
(1 × 32) + (2 × 31) + (0 × 30) = 9 + 6 + 0 = 15 (decimal).
Our tool does all this math for you—just type in your base-3 number, and voilà! You’ll get the decimal equivalent in seconds.
Quick Conversion Table
| Base-3 Number | Decimal Value |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 10 | 3 |
| 11 | 4 |
| 12 | 5 |
| 20 | 6 |
| 21 | 7 |
| 22 | 8 |
| 100 | 9 |
| 101 | 10 |
| 102 | 11 |
| 110 | 12 |
| 111 | 13 |
| 112 | 14 |
| 120 | 15 |
| 121 | 16 |
| 122 | 17 |
| 200 | 18 |
| 201 | 19 |
| 202 | 20 |
Top 10 Use Cases for the Base-3 to Decimal Converter
- Simplifying math homework involving base-3 number systems.
- Converting ternary (base-3) data for computer science projects.
- Understanding and exploring different numeral systems for fun.
- Preparing for exams or quizzes on number base conversions.
- Decoding base-3 encoded messages or puzzles.
- Analyzing ternary logic in electronics and engineering.
- Teaching students about alternative number systems.
- Converting historical or specialized data recorded in base-3.
- Solving math problems in competitive programming.
- Satisfying your curiosity about how base-3 works!