Conversion from base 10 to base 2

Subject: Mathematics
Topic: Conversion of Number in Base Ten to Number in Base Two (Binary Number)
To change a number in base ten (common base) to a number in base two (binary number) we divide the number by 2 and write down the remainder until you get Zero as dividend.
Example
Convert the following numbers in base 10 to numbers in base 2:
a) 9 (b) 8
Solution
2 9 b) 2 8
2 4 r 1 2 4 r 0
2 2 r 0 2 2 r 0
2 1 r 0 2 1 r 0
0 r 1 0 r 1

:. 9 = 1001two 8 = 1000two
Home-Work: Convert the following to binary number:
1) 16 2) 17 3) 15