The diagram below shows an unsigned integer multiplier.

Build the circuit in Logisim using:

$4$ bit data paths$4$ bit input device for setting the initial values of the Multiplicand M and Multiplier register Qone bit input device for controlling the shifting and the loading of the A registerone bit input device for controlling the shifting and loading of the Q registerone bit input device to control the loading and clearing of the C register $($the C register can be a D flip$-$flop$)$output devices are used to show the resultsshow the contents of C$*$E $($i$.$e$.1100*1110,$ Multiplicand is $1100,$ and Multiplier is $1110.)$ at each stage of the multiplication.

Hand in the following:

$1.$ Make a table to show the result and operation at each stage of the multiplication C$*$E $($i$.$e$.1100*1110).$

$2.$ Screenshot your circuit at each stage when you run for the multiplication C$*$E $($i$.$e$.1100*1110),8$ pictures in total.

$3.$ Describe the rules for the use of the carry bit in your multiplier circuit.