The data stream $[11011011,10110111,10011000,$ and $10101010]$ is generated using PCM system with non$-$return to zero $($NRZ$)$ line coding. This frame of data can be transmitted over $150KHz$ channel bandwidth $($BW$)$ if no any error detection and correction methods are used.

A$)$ If VRC&LRC parity are used together, write the new frame, and calculate the required transmitted channel $BW.$

B$)$ Use the following polynomial $)=(x^3+x+1$ to calculate the data transmitted for the $($last sample only$)$ by using cyclic redundancy check $($CRC$),$ then calculate the required transmitted channel $BW$ for the entire new frame by assuming that the same number of $CRC$ bits are added to all samples?L