We are dealing with the recession hit engineers in the land of Digiland. For some sort of fancy circuitry, a $3-$bit binary input is received. As a resull it should give the amount of $"$l$"$ present in this vector. For example, for the inputs $110$ and $101$ the result should be the same and equal to $010(2$ in binary$).$ This time however, the only components they have on their hands are $1-$bit Full Adders. Describe the circuit with minimum amount of parts.