The binary equivalent of (531.53125)<sub>10</sub> is
Integer part: \(531 = 512 + 16 + 2 + 1 = 1000010011_2\)
Fraction part: \(0.53125 = 0.5 + 0.03125 = 2^{-1} + 2^{-5} = .10001_2\)
(Repeated ×2: 0.53125 → 1.0625 → 0.125 → 0.25 → 0.5 → 1.0, giving digits 1, 0, 0, 0, 1.)
\(531.53125_{10} = 1000010011.10001_2\)
Answer: (D)
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