Question

convert from decimal to the indicated base. 56 to base 5. i know theres long division involved but i have no idea what to do after. i did 5\56 & got 11 then 5/11 & got 2 & then 5/2 to finally get a remainder of 0 what do i do now!?

Answer 1

break it down to multiples of 5

56 = 2(5^2) + 1(5) + 1

= 211₅

Answer 2

here is a great calculator for checking
enter 56 in the base 10 box
http://www.cleavebooks.co.uk/scol/calnumba.htm

Answer 3

how did you get 2115?

Answer 4

Ummmh, it's not 2115 , it's 211 base 5
as you requested

I laid it out for you

56 = <b>2</b>(5^2) + <b>1</b>(5) + <b>1</b>

so 2 1 1 (base 5)