What is 348 in base 6? How do I calculate this?
To convert the number 348 from base 10 (or "normal" decimal) to base 6, you need to divide it by powers of 6 and keep track of the remainders.
Here's how you can calculate it step-by-step:
1. Divide 348 by 6 and note down the remainder:
348 ÷ 6 = 58 remainder 0
The remainder is 0, so the rightmost digit in base 6 is 0.
2. Divide the quotient from the previous step (58) by 6 and note down the remainder:
58 ÷ 6 = 9 remainder 4
The remainder is 4, so the next digit in base 6 is 4.
3. Divide the new quotient (9) by 6 and note down the remainder:
9 ÷ 6 = 1 remainder 3
The remainder is 3, so the next digit in base 6 is 3.
4. Divide the new quotient (1) by 6 and note down the remainder:
1 ÷ 6 = 0 remainder 1
The remainder is 1, so the leftmost digit in base 6 is 1.
5. Combine the remainders from the last step, reading them from right to left:
The number 348 in base 6 is represented as 1340.
So, the answer is 348 in base 10 is equal to 1340 in base 6.