Question

convert 13542 base six to base ten. I'm in math20 at Folsom Lake College and i'm trying to figure out this question. I had most of the answers figured out but this one stomped me.

Answer 1

Converting to base 10 can be done easily by writing a sort of digit expansion. In base 6, this number literally means

$13542_6=1\times6^4+3\times6^3+5\times6^2+4\times6^1+2\times6^0$

Simplifying this gives the value in base 10.

$13542_6=1296+3\times216+5\times36+4\times6+2$
$13542_6=2150_{10}$