Question

How do you write 314 (base 5) in base 10?

Answer 1

Answer:

314 (base 5) = 84 (base 10)

Explanation:

To write 314 (base 5) in base 10, we can do the following:

$\begin{gathered} 314(base5)=3\cdot5^2+1\cdot5^1+4\cdot5^0 \\ 314(base5)=3\cdot25+1\cdot5+4\cdot \\ 314(\text{base 5) = 75+5+4} \\ 314(\text{base 5) = 84 (base 10)} \end{gathered}$

So, we take every from right to left and multiply then by 5^x where x is a number that starts with 0.