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*6^4+3*6^3+5*6^2+4*6^1+2*6^0`

Simplifying this gives the value in base 10.


`13542_6=1296+3*216+5*36+4*6+2`

`13542_6=2150_(10)`