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

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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Question 4:
Consider a systematic (7,4) code whose parity-check equations are:
vo = Uo + Uz + Uz,
V1 = Uo + Uz + U2,
v2 = U1 + Uz + Uz
where u, uz and u, are message digits and v, v1 and v, are parity-check digits.
a) Find the generator and parity-check matrices for this code.
b) Construct an encoder eireuit for the code.
c) Find the codewords corresponding to the binary message (1011), and (1010).
(7,4) code
vo = ug + u2 + uz
vi = uo + u1 + uz
v2 = u1 + u2 + u3
Transcribed Image Text:Question 4: Consider a systematic (7,4) code whose parity-check equations are: vo = Uo + Uz + Uz, V1 = Uo + Uz + U2, v2 = U1 + Uz + Uz where u, uz and u, are message digits and v, v1 and v, are parity-check digits. a) Find the generator and parity-check matrices for this code. b) Construct an encoder eireuit for the code. c) Find the codewords corresponding to the binary message (1011), and (1010). (7,4) code vo = ug + u2 + uz vi = uo + u1 + uz v2 = u1 + u2 + u3
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