IMPLEMENTATION OF 16-BIT HAMMING CODE ENCODER AND DECODER FOR SINGLE BIT ERROR DETECTOR AND CORRECTOR

Abstract : The search for correcting codes led to the Hamming code perfect 1-bit Error Correcting Codes and then extended. Hamming code 1-bit Error Correcting and 2-bit Error Detecting Codes. In mathematical terms, Hamming codes are a class of binary linear codes. For each integer p>2, there is a code with ‘p’ parity bits and ((2^p)-p-1) data bits. The main aspect of this Hamming encoder and decoder is to know how a code can be encoded and decoded using Hamming code. This project is implemented for Hamming code single – bit error detection and single – bit error correction.  For Implementing this Single bit error detector and corrector Xilinx ISE 12.1i and the Micro wind Layout Editor Tools was used. Hamming codes are widely used in computing, telecommunications and other applications. It can only detect and correct the number of bits but cannot solve the problem.