base conversion

[hitman]

how do i convert 414 base 6 to base seven representation?

thank you

[jpmoriarty]

well it's been a while since I did base numbers (didnt cover it on my degree!) but here you go:

414 in base 6 = 154 in base 10

(4*1) + (1*6) + (4*36)

154 in base 10 = 310 in base 7

(3*49) + (1*7) + (0*1)

So 414 in base 6 = 310 in base 7

[jalarie]

Convert between any bases you want on the "Conversions > Number base" page at:

 http://spruce.flint.umich.edu/~jalarie/