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To convert from any base to another:
- Divide the number by the new base to get a quotient and a remainder.
- Note the remainder.
- If the quotient is zero stop as the remainder is the number in the new base.
- Divide the quotient by the new base to get a quotient and a remainder.
- Write the remainder in front of the previous remainder(s).
- Repeat from step 3.
For example, to convert 8510 to octal (base 8):
85 / 8 = 10 r 5 (answer so far: 5)
10 / 8 = 1 r 2 (answer so far: 25)
1 / 8 = 0 r 1 (answer so far: 125)
quotient 0, so 8510 = 1258.
To convert 8510 to binary:
85 / 2 = 42 r 1 (answer so far: 1)
42 / 2 = 21 r 0 (answer so far: 01)
21 / 2 = 10 r 1 (answer so far: 101)
10 / 2 = 5 r 0 (answer so far: 0101)
5 / 2 = 2 r 1 (answer so far: 10101)
2 / 2 = 1 r 0 (answer so far: 010101)
1 / 2 = 0 r 1 (answer so far: 1010101)
quotient 0, so 8510 = 10101012.
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