Question

The decimal equivalent of the binary number $11010101$is ?

Answer 1

Binary number :

The given number is $11010101$.

$$\begin{gathered} {11010101}_2=2^{0}x1+2^{1}x0+2^{2}x1+2^{3}x0+2^{4}x1+2^{5}x0+2^{6}x1+2^{7}x1 \\ =1+0+4+0+16+0+64+128 \\ ={213}_{10} \end{gathered}$$

Hence the decimal equivalent to the binary number $11010101$ is ${213}_{10}$