Answer
It is given that these two numbers are in base 8, before subtracting them, we need to understand the rules we follow while subtracting them.
\[\begin{align}
{{462}_{eight}} & \\
-{{177}_{eight}} & \\
\end{align}\]
We start performing subtraction in the right column,
\[{{2}_{eight}}-{{7}_{eight}}\]
Since we cannot subtract 7 from 2, we will borrow a group of 8 from the left column. This gives a sum \[{{2}_{eight}}+8=10\] now we subtract 7 from 10.
\[\begin{align}
{{462}_{eight}} & \\
-\underline{{{177}_{eight}}} & \\
{{263}_{eight}} & \\
\end{align}\]
After subtracting the right column, we subtract the left one and here we subtract 7 from remaining 5+8=13.
Hence by this subtraction of base 8, we have the answer \[{{263}_{eight}}\]
