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Example: Convert 2B6 (base 12) to base 10

  • Writer: Nathan Nox
    Nathan Nox
  • Dec 2, 2024
  • 1 min read

Sure! Let's practice converting numbers from base 12 (also known as duodecimal) to base 10 (decimal). Base 12 uses digits from 0 to 9 and two additional symbols, often represented as 'A' for ten and 'B' for eleven. Here's how you can convert:


### Example: Convert 2B6 (base 12) to base 10


1. **Identify each digit and its position**:

- 2 (in the 12^2 place)

- B (in the 12^1 place, which is 11 in decimal)

- 6 (in the 12^0 place)


2. **Calculate the decimal value of each digit**:

- 2 * 12^2 = 2 * 144 = 288

- B (11) * 12^1 = 11 * 12 = 132

- 6 * 12^0 = 6 * 1 = 6


3. **Sum the values**:

- 288 + 132 + 6 = 426


So, 2B6 in base 12 is 426 in base 10.


### Practice Exercise

Try converting the base 12 number `A34` to base 10 on your own using the steps above. Here's a hint: remember A is 10 in decimal!


Feel the magic? ✨ Now you can turn numbers into new forms, like a wizard with numbers! 🌟 For more cool links and ways to explore the mysteries of numbers and beyond, check out my link list: [https://bit.ly/m/Regxo](https://bit.ly/m/Regxo).


Happy number adventures! 🧙‍♀️🔢


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