8. Find the result of the following binary multiplication:
(i) $(111)_{2} \times(101)_{2}=$ ?
(ii) $(1001)_{2} \times(111)_{2} \times(101)_{2}=$ ?
8.
(i) Solution: Since
therefore, $(111)_{2} \times(101)_{2}=(100011)_{2}$.
(ii) Solution: Since

therefore, $(1001)_{2} \times(111)_{2} \times(101)_{2}=(100111011)_{2}$.
$$\begin{array}{l}
\left(\begin{array}{lll}
1 & 1 & 1
\end{array}\right)_{2} \\
\frac{\times(101)_{2}}{(111)_{2}}
\end{array}$$
$$\begin{array}{l}
\left(\begin{array}{llll}
1 & 0 & 0 & 1
\end{array}\right)_{2}
\end{array}$$
$$\begin{array}{l}
\left(\begin{array}{llll}
10 & 0 & 10
\end{array}\right)_{2} \\
\frac{+(100100)_{2}}{(111111)_{2}}, \\
\frac{+(11111100)_{2}}{(100111011)_{2}},
\end{array}$$