Let P(x) = x6 + x4 + x2 + 1, and Q(x) = x3 + x + 1. Perform all

calculations modulo 2 and show your work.

(a) What is the data value bP , in binary, corresponding to the polynomial P(x)?

(b) What is the sum P(x) + Q(x), modulo 2?

(c) Divide x3P(x) by Q(x), and compute the remainder R(x). The binary data value bR corre-

sponding to R(x) is the CRC eld of bP .

(d) Show how the CRC eld bR is veried.