Decimal vs Binary The decimal numeral system in which numbers are expressed in scales of 10. Whereas the binary numeral system involves expressing numbers in scales of 2. Procedure Step 1: The whole number part(59) of 59.65625 is divided by 2 until the quotient is 1. The remainder(carry) that is accumulated(either 1 or 0) till the last sequence of operation that gives the quotient 1 is taken in the reverse order of creation, so as to obtain 111011. 59/2 = 29 (1 is taken as carry) 29/2 = 14 (1 is taken as carry) 14/2 = 7 (0 is taken as carry) 7/2 = 3 (1 is taken as carry) 3/2 = 1 (1 is taken as carry) So when we reverse the carry, we get 11011. Finally, we place the final quotient at the very beginning of the 11011 to get 111011. Step 2: The decimal part is multiplied by 2 as many times as the number of decimal places in the final result required. To elaborate, let's take the above mentioned example of 59.65625. Here 0.65625...