Problem 3
Convert \(101.0101_{2}\) to a decimal number. $$ \begin{aligned} 101.0101_{2}=1 \times 2^{2}+0 \times 2^{1}+1 \times 2^{0}+0 \times 2^{-1} \\ &+1 \times 2^{-2}+0 \times 2^{-3}+1 \times 2^{-4} \\ =& 4+0+1+0+0.25+0+0.0625 \\ =& \mathbf{5 . 3 1 2 5}_{10} \end{aligned} $$
Problem 8
Perform the binary addition: $$ 11111+10101 $$ \begin{tabular}{r} 11111 \\ sum \(_{\text {carry }} \frac{10101}{110100}\) \\\ \hline \end{tabular}