Correct Answer: Option E

Explanation

Convert (\(101.011)_2\) to base 10

\(1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 + 0 \times 2^{-1} + 1 \times 2^{-2} + 1 \times 2^{-3}\)

1 x 4 + 0 x 2 + 1 x 1 + 0 x \(\frac{1}{2}\) + 1 x \(\frac{1}{4}\) + 1 x \(\frac{1}{8}\)

4 + 1 +  \(\frac{1}{4}\) + \(\frac{1}{8}\)

=  \(\frac{43}{8}\)

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