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Write 313 in the base-six system.

Answer :

To convert the number 313 from decimal (base-10) to base-six, we can follow a step-by-step process. Here’s how you can do it:

1. Divide 313 by 6 and write down the quotient and the remainder.
- 313 ÷ 6 = 52 with a remainder of 1.

2. Take the quotient (52) and divide it by 6 again.
- 52 ÷ 6 = 8 with a remainder of 4.

3. Take the new quotient (8) and divide it by 6.
- 8 ÷ 6 = 1 with a remainder of 2.

4. Take the final quotient (1) and divide it by 6.
- 1 ÷ 6 = 0 with a remainder of 1.

5. Write down the remainders in reverse order to get the number in base-six.

So, the remainders from bottom to top are 1, 2, 4, 1. Therefore, the number 313 in decimal is represented as 1241 in base-six.

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Rewritten by : Brahmana