Question

Convert $(25{)}_{10}$ to base $8$.

• A. $(29{)}_8$
• B. $(30{)}_8$
• C. $(31{)}_8$
• D. $(32{)}_8$

Answer 1

Answer: (C)

$(31{)}_8$

We convert $25$ base $10$ into base $8$ by dividing $25$ by $8$.

The equation calculation formula for $25$ number to $8$ is like shown below.

$8|258|3|1$

From the above steps of division and remainders we conclude that the required number is $31$ base $8$.

Hence, $(25{)}_{10}=(31{)}_8$