Encoding of a cyclic code Consider the cyc1ic code generated by the generator polynomial g(x) = 1 + x + i, and the coding circuit shown in section 15.3.2.2. Study the operation of this circuit for coding the vector U = (0 0 1 1), where the bits are ordered from bit 1 (LSB) to bit 4 (MSB).

Compare with the result obtained by the formal polynomial division of x(n-k) u(x) by g(x).