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To convert base 10 to any other base:

1. divide the number by the new base to give a quotient and a remainder

2. note the remainder

3. set the number to the quotient

4. if the number is not zero repeat from step 1

5. write the remainders in reverse order.

eg 10810 to base 4:

108 ÷ 4 = 27 r 0

27 ÷ 4 = 6 r 3

6 ÷ 4 = 1 r 2

1 ÷ 4 = 0 r 1

→ 10810 = 12304

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Q: How do you convert base 10 to base 4?
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