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Convert the base 10 number 135 to base 8.

May 8, 2026Mathematics

ScanSolve AI Answer

Answer

207_8

Step-by-step solution

4 steps

To convert a number from base 10 to another base, we repeatedly divide the number by the new base and record the remainders. We then read the remainders from bottom to top.

Divide 135 by 8.
$135 \div 8 = 16 \text{ with a remainder of } 7$
Divide the quotient 16 by 8.
$16 \div 8 = 2 \text{ with a remainder of } 0$
Divide the quotient 2 by 8.
$2 \div 8 = 0 \text{ with a remainder of } 2$
Collect the remainders in reverse order (from bottom to top).
The remainders are $2, 0, 7$ .

So, $135_{ten}$ in base 8 is $207_8$ .