Question

16636ten to base eightCorrection: 16636 in base 8 to base 10.

Answer 1

Explanation

We must convert the number 16636 from base 8 to base 10.

Rule: to convert from base 8 to base 10, we must follow the steps:

• We multiply each coefficient of the number by 8 to the position of the coefficient.

,

• We add the results.

In this case, we have the coefficients:

$1,6,6,3,6.$

We multiply each coefficient by 8 to the position of the coefficient:

$\begin{gathered} 1\cdot8^4,6\cdot8^3,6\cdot8^2,3\cdot8^1,6\cdot8^0, \\ 4096,3072,384,48,6. \end{gathered}$

Summing the results, we get:

$4096+3072+384+48+6=7582.$Answer

7582