Question

Convert 9/20 in base ten to binary decimal​

Answer 1

0.0111001100110011......

Explanation:

9/20 = 0.45

now multiply 0.45 * 2 = 0.90 = keep 0
then multiply 0.90 * 2 = 1.80 = keep 1
then multiply 0.80 * 2 = 1.60 = keep 1
then multiply 0.60 * 2 = 1.20 = keep 1
then multiply 0.20 * 2 = 0.40 = keep 0
then multiply 0.40 * 2 = 0.80 = keep 0
then multiply 0.80 * 2 = 1.60 = keep 1
then multiply 0.60 * 2 = 1.20 = keep 1
then multiply 0.20 * 2 = 0.40 = keep 0

this will keep going on until we get 0.00 or 1.00
In this case, it's not possible.

So it's the answer 0.0111001100110011......