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)

$26.625$

The decimal equivalent can be found as follows,

$(11010.101{)}_2=0\times 2^0+1\times 2^1+0\times 2^2+1\times 2^3+1\times 2^4+1\times 2^{-1}+0\times 2^{-2}+1\times 2^{-3}$

$=0+2+0+8+16+\frac{1}{2}+0+\frac{1}{8}$

$=26+\frac{5}{8}=\frac{213}{8}\approx 26.625$