Cyclic circuits introduces structural feedback in the circuits which indeed increases the no. of effective input variables in the circuit & provides greater flexibility in producing minimized Boolean expression of the primary outputs. From the above results it can be concluded that cyclic circuits can produce same result as acyclic combinational circuits with lesser no of gates. That means cyclic circuits are better in area, power consumption and delay consideration compared to conventional acyclic circuit. A practical implementation with small runtimes for different practical circuits demonstrates the efficacy of this algorithm. This is a proposal for general methodology for the synthesis of multilevel combinational circuits with cyclic topologies.