Convert (\(101.011)_2\) to base 10
- 63
- 43
- 10
- \(\frac{77}{8}\)
-
\(\frac{43}{8}\)
The correct answer is: 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 + \(\frac{1}{4}\) + \(\frac{1}{8}\)
= \(\frac{43}{8}\)