Question

The decimal equivalent of the binary number $(11010.101)_2$ is

• A. 9.625
• B. 25.265
• C. 26.625
• D. 26.265

Answer 1

Answer: (C)

26.625

Answer 2

The decimal equivalent can be found as follows,
$(11010.101)_{2}=0 \times 2^{0}+1 \times 2^{1}+0 \times 2^{2}$
$\quad+1 \times 2^{3}+1 \times 2^{4}+1 \times 2^{-1}+0 \times 2^{-2}+1 \times 2^{-3}$
$=0+2+0+8+16+\frac{1}{2}+0+\frac{1}{8}$
$=26+\frac{5}{8}=\frac{213}{8} \approx 26.625$