Question

Convert 5243 to base 2.
I know I need to convert 5243 to base 10, then convert base 10 to base 2. But I don't know how to convert to base 10.

Answer 1

what base is it in now?

Answer 2

(427)_10 is what in base 2?

well, divide by 2 and pull off the remainder and the remainders form the base 2 numeral starting at the right and working left

either that or when you get to the end pull them off left to right

427 = 213(2) + 1 <--- right most digit
213 = 106(2) + 1
106 = 53(2) + 0
53 = 27(2) + 1
27 = 13(2) + 1
13 = 6(2) + 1
6 = 3(2) + 0
3 = 1(2) + 1
1 = 0(2) + 1 <--- left most digit


(427)_10 = (110111011)_2