Another simple example of an FEC code is known as the Hamming code. This code is able to protect a four-bit information signal from a single error on the channel by adding three redundant bits to the signal. Each sequence of seven bits…

…where in 1950 he invented Hamming codes, which are used in telecommunications. He realized that, by the appending of a parity check (an extra bit or block of bits) to each transmitted “word,” transmission errors could be corrected automatically, without having to resend the message. He is famous for saying,…