Answer the following Questions :
1. Suppose we want to transmit the message 1011101110 and protect it from using the CRC polynomial x3 + x + 1. Use polynomial long division to determine the message should be transmitted. Show your work.
2. Suppose the leftmost two bits of the message is inverted due to noise on the transmission link. What is the result of the receiver's CRC calculation? Show your work. Does the receiver know that an error has occurred?