(Solved): Shown here are nine rules of Boolean algebra (these are not the only rules, of course). - \( A+\bar ...

Shown here are nine rules of Boolean algebra (these are not the only rules, of course). - \( A+\bar{A}=1 \) \( A+A=A \) - \( A+1=1 \) - \( A A=A \) - \( A(1)=A \) - \( A \bar{A}=0 \) - \( A(B+C)=A B+A C \) - \( A+A B=A \) - \( A+\bar{A} B=A+B \) Determine which rule is being used in each step of the following Boolean simplification: \[ \overline{C F}+F(A+\bar{B})+C \] \[ \bar{C} F+A F+\bar{B} F+C \] \[ C+F+A F+\bar{B} F \] \[ C+F(1+A+\bar{B}) \] \[ C+F(1) \] \[ C+F \]