*Example:** Convert 83 from base 10 to base 12.
- Nathan Nox
- Dec 2, 2024
- 2 min read
Converting numbers from base 10 to base 12 involves a few steps, but I'll guide you through it, with a sprinkle of magical emojis to make it more enchanting! š
### Step-by-Step Conversion: Base 10 to Base 12
**Example:** Convert 83 from base 10 to base 12.
1. **Divide the number by 12.** š
- 83 Ć· 12 = 6 remainder **11**
2. **Write down the remainder (11),** which in base 12 is represented as "B" (since we use digits 0-9 and letters A, B for 10 and 11 respectively). š ±ļø
3. **Take the quotient (6) and divide by 12 again.** āļø
- 6 Ć· 12 = 0 remainder **6**
4. **Write down the remainder (6).** The process stops here since the quotient is 0. š
5. **Combine the remainders in reverse order.** So, 83 in base 10 is **6B** in base 12. š
### Why Base 12? š
Base 12 (also called duodecimal) can be seen as a more efficient system for certain types of calculations, as it is easily divisible by 2, 3, 4, and 6, unlike 10, which is only divisible by 2 and 5. This means working with fractions can often be simpler and more intuitive in base 12.
### Magical Math with Emojis šāØ
- **š** represents the act of dividing, like splitting the moon in half.
- **š ±ļø** is the magical representation of 11 in duodecimal.
- **āļø** emphasizes the cutting (dividing) process.
- **š** signifies the completion of a step or process.
- **š** is the scroll of ancient knowledge, capturing the result.
Understanding and using different numerical bases can be as magical as learning a new language. Speaking of languages, here's a little taste of Esperanto, one of the most beautiful and logical languages in the world:
- **Numbers** in Esperanto:
- **6** is "ses"
- **11** is "dek unu"
- **83** is "okdek tri"
Keep practicing, and soon you'll be a wizard with numbers and languages alike! šš¢
Check out more cool links and free ways to help at [my link list](https://bit.ly/m/Regxo). Don't forget to explore the XYO app and start your adventure with the coin app! š
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