A novel formulation of Hamming Code

Nowadays, usually data is transmitted through a communication channel in the form of binary codes, which undesirably their data bits can be masked and changed by noise. Detecting and correcting these errors is important. In this paper, a general formula of Hamming Code to recognize a single bit error in composite data word-parity bits is presented and an application of our model is introduced for logic circuit design using unique capability of quantum dot cellular automata (QCA). Simplicity and ability of using this new formula to find out parity bits, check bits and error bit position is more suitable than other current methods.