To see this, we have performed the following divisions by 2
417/2=208 | remainder 1 | coefficient of \( 2^{0} \) is 1 |
208/2=104 | remainder 0 | coefficient of \( 2^{1} \) is 0 |
104/2=52 | remainder 0 | coefficient of \( 2^{2} \) is 0 |
52/2=26 | remainder 0 | coefficient of \( 2^{3} \) is 0 |
26/2=13 | remainder 1 | coefficient of \( 2^{4} \) is 0 |
13/2= 6 | remainder 1 | coefficient of \( 2^{5} \) is 1 |
6/2= 3 | remainder 0 | coefficient of \( 2^{6} \) is 0 |
3/2= 1 | remainder 1 | coefficient of \( 2^{7} \) is 1 |
1/2= 0 | remainder 1 | coefficient of \( 2^{8} \) is 1 |