Protect the following 2 bytes data
1001 1010 1000 1011
with 12-bit CRC using the polynomial (x¹²+x¹¹+x³+x²+x+1) which can be represented by the following 13-bit word: 1 1000 0000 1111
Show the 12-bit CRC that would be added to the data. Show all computations.

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The 2 bytes of data, namely 1001 1010 1000 1011 corresponds to polynomial:
M(x)= x15+x12+x11+x9+x7+x3+x+1

Since the generator is x12+x11+x3+x2+x+1, we must multiply the message M(x) by x12 (the highest power of the generator) and divide the result with G(x) for finding the remainder.

We obtain:...

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