Decimal to Base-12 Converter
Decimal to Base-12 Converter
Ever tried to explain a number system that isn’t base-10 and felt like you were speaking another language? Or maybe you’re just curious about how numbers work in different bases? Either way, converting decimal numbers to base-12 can feel like solving a riddle wrapped in a mystery. But don’t worry—this tool is here to make it as simple as counting to 12 (which, in base-12, is actually "10"). Just type in your decimal number, hit convert, and voilà! You’ve got your base-12 equivalent. No math degree required, just a little curiosity and a click of a button.
Enter a decimal number to convert it to base-12.
How It Works
Converting a decimal number to base-12 might sound complicated, but it’s actually pretty straightforward. Here’s the formula broken down in plain English:
- Separate the number: Split your decimal number into its whole number and fractional parts (e.g., 123.45 becomes 123 and 0.45).
- Convert the whole number: Divide the whole number by 12 repeatedly and note the remainders. These remainders become the digits of your base-12 number, read from bottom to top.
- Convert the fractional part: Multiply the fractional part by 12 repeatedly. The whole number part of each result becomes the next digit in the fractional base-12 number.
- Combine the results: Put the whole number and fractional parts together to get your final base-12 number.
For example, the decimal number 15 converts to base-12 as follows: 15 divided by 12 is 1 with a remainder of 3, so the base-12 result is "13".
Quick Conversion Table
Here’s a handy table showing decimal numbers and their base-12 equivalents:
| Decimal | Base-12 |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| 10 | A |
| 11 | B |
| 12 | 10 |
| 13 | 11 |
| 14 | 12 |
| 15 | 13 |
| 16 | 14 |
| 17 | 15 |
| 18 | 16 |
| 19 | 17 |
| 20 | 18 |
10 Common Use Cases for Decimal to Base-12 Conversion
- Learning Number Systems: Perfect for students or enthusiasts exploring alternative number bases.
- Math Puzzles: Solve puzzles or riddles that involve base-12 calculations.
- Time Measurement: Convert hours and minutes into a base-12 format for fun or educational purposes.
- Currency Conversion: Some historical currencies used base-12 systems—this tool helps you understand them.
- Programming Challenges: Useful for coders tackling problems involving different number bases.
- Historical Research: Decode ancient texts or measurements that use base-12 systems.
- Art Projects: Create unique art or designs based on base-12 numbering.
- Board Games: Modify game rules to incorporate base-12 mechanics.
- Teaching Tool: Help others understand how number bases work with a hands-on example.
- Personal Curiosity: If you’ve ever wondered what 100 looks like in base-12, now you can find out!