A) 9.625
B) 25.265
C) 26.625
D) 26.265
Correct Answer: C
Solution :
The decimal equivalent can be found as follows, \[{{(11010.101)}_{2}}=0\times {{2}^{o}}+1\times {{2}^{1}}+0\times {{2}^{2}}\] \[+1\times {{2}^{3}}+1\times {{2}^{4}}+1\times {{2}^{-1}}+0\times {{2}^{-2}}+1\times {{2}^{-3}}\] \[=0+2+0+8+16+\frac{1}{2}+0+\frac{1}{8}\] \[=26+\frac{5}{8}=\frac{213}{8}\approx 26.625\]
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