Question

convert 15.8125 base 10 to binary number

Answer 1

well the basic idea is to start dividing the term in integer by 2 and start storing the remainders in hand & keep multiplying the terms in decimal and start storing the integer parts & keep multiplying until you get 0 in fractional part or fractional part exceeds the the fractional term in original no.

0 <-1 <-3<- 7 <-15.8125->.6250->.2500->.5000->0000
1 1 1 1 . 1 1 1 1

i've written the remainder in bottom for the terms before decimal & written the integral part for the fractional part.

So our answer is (1111.1111) in base 2 or binary