NIMCET 2014 Question Paper with solutions

Here, we have to find the binary equivalent of the number $531.53125$
Integer part: 531
Fractional part: $0.53125$
Convert integer part into binary:
So, the binary equivalent of 531 is ${\left(1000010011\right)}_2$
Now let's convert fractional part into binary:
$0.53125\times 2=1.0625\left[1\right]$
$0.0625\times 2=0.125\left[0\right]$
$0.125\times 2=0.25\left[0\right]$
$0.25\times 2=0.5\left[0\right]$
$0.5\times 2=1.00\left[1\right]$
So, the binary equivalent of $0.53125$ is ${\left(0.10001\right)}_2$
So, the binary equivalent of the decimal number $531.53125$ is ${\left(1000010011.10001\right)}_2$