Base 10 to Binary:Left-to-Right

Start dividing by the largest power of the base that is less than or equal to the value; continue with all the lesser powers of the base in order:

1933 base 10 to binary (base 2):

1933 div 2**10 = 1 rem 909

909 div 2**9 = 1 rem 397
397 div 2**8 = 1 rem 141
141 div 2**7 = 1 rem 13
13 div 2**6 = 0 rem 13
13 div 2**5 = 0 rem 13
13 div 2**4 = 0 rem 13
13 div 2**3 = 1 rem 5
5 div 2**2 = 1 rem 1
1 div 2**1 = 0 rem 1
1 div 1**0 = 1 rem 0
= 11110001101 binary ( top-to-bottom and left-to-right )