Assume CRC-16 generator polynomial x^16 + x^15 +x^2 + 1

Information bits are the hex digits 0-F in binary, namely: 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111

a) Draw the circuit to compute the remainder using shift registers and XOR gates.

b) Assume that there is a burst error 16 bits long spanning the hex digits 6,7,8,9 due to which every bit is complemented. Determine if CRC-16 detects the errors