$1.(20$ Points, $10$ each$)$ Figure $9\mathrm{.}6($a$)$ in the textbook $($shown below $-$ left$)$ illustrates how the multiplication of a multiplicand and a multiplicr works on a $4-$bit array multiplicr. For the example given in class, the partial products and final product of multiplicand $1101$ and multiplier $1011$ are shown as the red numbers in the graph in the lecture notes, also shown below $-$ right. Following the example, write down the partial products and final product of the following two cases. In each case, assume that A is the multiplicand and B is the multiplier. You will need to extend the multiplier to $5-$bit.

$($a$)\backslash (\backslash$mathrm$\{$A$\}=01011\backslash )$ and $\backslash (\backslash$mathrm$\{$B$\}=10101\backslash )$

$($b$)\backslash (\backslash$mathrm$\{$A$\}=11110\backslash )$ and $\backslash (\backslash$mathrm$\{$B$\}=10010\backslash )$