$3\mathrm{.}13$ Using a table similar to that shown in Figure $3\mathrm{.}6,$ calculate the product of the hexadecimal unsigned $8-$bit integers $62$ and $12$ using the hardware described in Figure $3\mathrm{.}5.$ You should show the contents of each register on each step.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Heration & Step & Muitiplier & Multiplicand & Product $\backslash \backslash$

$\backslash$hline $0$ & Initial values & $0011$ & $00000010$ & $00000000\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{3\}\{*\}\{1\}$ & $1$a: $\backslash (1\backslash$Rightarrow $\backslash )$ Prod $\backslash (=\backslash )$ Prod $-$ Mcand & $0011$ & $00000010$ & $00000010\backslash \backslash$

$\backslash$hline & $2$: Shift left Mutiplicand & $0011$ & $00000100$ & $00000010\backslash \backslash$

$\backslash$hline & $3$: Shift right Multiplier & $0001($ & $00000100$ & $00000010\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{3\}\{*\}\{2\}$ & $1$a: $\backslash (1\backslash$Rightarrow $\backslash )$ Prod $\backslash (=\backslash )$ Prod $+$ Mcand & $0001$ & $00000100$ & $00000110\backslash \backslash$

$\backslash$hline & $2$: Shift left Murtiplicand & $0001$ & $00001000$ & $00000110\backslash \backslash$

$\backslash$hline & $3$: Shift right Multipler & $0000$ & $00001000$ & $00000110\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{3\}\{*\}\{3\}$ & $1$: $\backslash (0\backslash$Rightarrow $\backslash )$ No operation & $0000$ & $00001000$ & $00000110\backslash \backslash$

$\backslash$hline & $2$: Shift left Murtiplicand & $0000$ & $00010000$ & $00000110\backslash \backslash$

$\backslash$hline & $3$: Shift right Multipler & $0000$ & $00010000$ & $00000110\backslash \backslash$

$\backslash$hline $\backslash$multirow$[$t$]\{3\}\{*\}\{4\}$ & $1$: $\backslash (0\backslash$Rightarrow $\backslash )$ No operation & $0000$ & $00010000$ & $00000110\backslash \backslash$

$\backslash$hline & $2$: Shift left Mutiplicand & $0000$ & $00100000$ & $00000110\backslash \backslash$

$\backslash$hline & $3$: Shift right Multipler & $0000$ & $00100000$ & $00000110\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

FIGURE $3\mathrm{.}6$ Multiply example using algorithm in Figure $3\mathrm{.}4.$

The bit examined to determine the next step is circled in color.