Converting Base 10 to Another Base

Method: Repeated division

Divide by the new base and record the remainder. Read remainders upwards.

Example: 25₁₀ to base 2
25 ÷ 2 = 12 r 1
12 ÷ 2 = 6 r 0
6 ÷ 2 = 3 r 0
3 ÷ 2 = 1 r 1
1 ÷ 2 = 0 r 1
Read up: 11001₂.

Example: 46₁₀ to base 5
46 ÷ 5 = 9 r 1
9 ÷ 5 = 1 r 4
1 ÷ 5 = 0 r 1
= 141₅.

Example: 92₁₀ to base 8
92 ÷ 8 = 11 r 4
11 ÷ 8 = 1 r 3
1 ÷ 8 = 0 r 1
= 134₈.

Discussion

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