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)

The decimal equivalent can be found as follows,
$(11010.101{)}_2=0\times 2^0+1\times 2^1+0\times 2^2$
$+1\times 2^3+1\times 2^4+1\times 2^{-1}+0\times 2^{-2}+1\times 2^{-3}$
$=0+2+0+8+16+\frac{1}{2}+0+\frac{1}{8}$
$=26+\frac{5}{8}=\frac{213}{8}\approx 26.625$