Consider a systematic (7,4) code whose parity-check equations are: vo = Uo + Uz + Uz, V1 = Uo + U1 + U2, Vz = U1 + Uz + uz where u, uq and uz are message digits and v, vz and vz are parity-check digits. a) Find the generator and parity-check matrices for this code. b) Construct an encoder eircuit for the code. c) Find the codewords corresponding to the binary message (1011), and (1010). (7,4) code vo = uo + uz + u3 vị = uo + u1 + uz v2 = U1 + uz + u3 %3D

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