Quantum computing promises to provide a tremendous boost to the computational power of our machines by utilizing superposition and entanglement phenomenon of quantum mechanics. Few quantum algorithms are known which are taking advantage of these quantum phenomena and are providing solutions to problems having significant importance. In this paper, we have proposed a generalized method for designing 2 N qubits circuit such that during measurement only one qubit will be in state-1, while remaining other qubits will hold state-0. Apart from adding fair randomness to the selection process in distributed quantum computing, these generalized quantum circuits can be found very useful in commercial domains requiring transparency and trust in systems requiring fair randomness in decision-making such as in a lottery system. The critical advantage of using our proposed method is that it allows individual's results to be teleported to them, hence making an end-to-end system whose fairness is quantum assured.