532_10 -> ?_2

1. Convert decimal to binary using successive division by 2:
532 / 2 = 266 R 0
266 / 2 = 133 R 0
133 / 2 = 66 R 1
66 / 2 = 33 R 0
33 / 2 = 16 R 1
16 / 2 = 8 R 0
8 / 2 = 4 R 0
4 / 2 = 2 R 0
2 / 2 = 1 R 0
1 / 2 = 0 R 1
2. Reading the remainders from bottom to top gives 1000010100.
3. The answer is 1000010100 in base 2.