Question

explain a hamming encoder (7,4)

hamming decoder (7,4)

scan test.

Answer 1

I have explained different methods to encode and decode a particular bits using hamming codes with example.

For hamming encoder there are 2 methods. First is using parity bits and placing in 7 bit digit block as explained below. If there are even number of 1's then place 0 in parity bit and if odd parity then place 1. And in second method you have to remember one matrix G and just simply matrix multipy with the given question bits.

In decoder part just simply remove the parity bits in given 7 bit digit message.