$5.$ Show the multiplication process for the numbers $\backslash ($ A$=21\backslash )$ and $\backslash ($ B$=-10\backslash )$ for each of the following cases. Use a width of $6$ bits:

A$.$ Modified Booth's algorithm with shifting$-$over $\backslash (\backslash$mathrm$\{$Os$\}/1\backslash$mathrm$\{$~s$\}\backslash )($in this algorithm, just shifting is performed instead of adding $0$ and then shifting when the partial product value is $0.)$

B$.$ Modified Booth's algorithm with multi$-$bit scanning where $\backslash (\backslash$mathrm$\{$m$\}=2\backslash )$