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A parity generator checks the data to be transmitted and outputs a 0(parity bit) if the number of logic 1's in the data is even, and a logic 0 if the number is odd. So a checker takes the transmitted data and the parity bit and will compare the two, and if they are both of the same logic then the you can conclude that the data was recieved succesfully(i.e no bits were lost during transmission). Parity checker/generator use the exact same devices, but with one comparing instead of generating.
In order to generate the parity check matrix you must first have the generator matrix and the codeword to check and see if it is correct. 1. Place your generator in row reduction form 2. Get the basis vectors 3. Put the vectors together to get the parity check matrix 4. Check it b multiplying the codewords by the parity = 0 For an example: 2*4 Generator Matrix [1 0 1 1 0 1 1 0] Rank = 2...therefore the number of columns is 2...Rank + X = # of columns of the Generator matrix v1+v3+v4 = 0 v2+v3 = 0 v1 = -r1-r2 v2 = -r1 v3 = r1 v4 = r2 Parity = [-1 -1 -1 0 1 0 0 1]
I think you mean "a bit".
By itself, very little, apart from the fact that it is somewhere in the middle of the spread of data. For example, the mean of the data set comprising {1, 1, 1, 1, 1, 1, 1, 1, 2, 9990} is 1000. Also, the mean of the set {1000, 1000} is also 1000. The sets are hardly similar, though.
The mean is 7.