Question

Consider a systematic (7,4) code whose parity-check equations are:

v0=u0+u1+u2 v1=u1+u2+u3 v2=u0+u2+u3

where u0 u1 u2 and u3 are message digits and v0 v1 and v2 are parity-check digits.

a)      Find the generator and parity-check matrices for this code.       

b)     Construct an encoder circuit for the code.                                  

c)      Find the codewords corresponding to the binary messages (1001), (1011), and (1110).                                                                                                                  

Answer 1

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Explanation is provided in the work shown below:

a)

b)

c)

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