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Binary representation of $0.5$ is $0.1_2$ and it is the only fraction among the given options that is terminating. So it is the only fraction that can be represented exactly.

All the other options have non-terminating fraction part and cannot be represented exactly with any finite number of bits.
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The rational numbers that can be represented exactly in binary with a finite sequence of digits are precisely those of the form x/2^y for x,y be some integers.
Option D only satisfies this.

This is how i arrived –
9/8= 1.001 in binary
9/2^3 = 9*2^-3= 1001* 2^-3= 1.001

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