$3\mathrm{.}13[20]$$$3\mathrm{.}3>$ Using a table similar to that shown in Figure $3\mathrm{.}5$i$,$ calculate the

product of the octal unsigned bit integers $62$ and $12$ using the hardware described

in Figure $3\mathrm{.}6.$ You should show the contents of each register on each step.

FIGURE $3\mathrm{.}5$ Multiply example using algorithm in Figure $3\mathrm{.}4.$ The bit examined to determine the

next step is circled in color.

FIGURE $3\mathrm{.}6$ Refined version of the multiplication hardware. Compare with the first version in

Figure $3\mathrm{.}3.$ The Multiplicand register, ALU, and Multiplier register are all $32$ bits wide, with only the Product

register left at $64$ bits. Now the product is shifted right. The separate Multiplier register also disappeared. The

multiplier is placed instead in the right half of the Product register. These changes are highlighted in color.

$($The Product register should really be $65$ bits to hold the carry out of the adder, but it's shown here $64$ bits

to highlight the evolution from Figure $3\mathrm{.}3.)$