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