question 12

EECE32218S SO S01 3/8/2018 11.Apply the following operations on the corresponding polynomials a. (x3+x2 +x+ 1)+ (x4 x2+x+1) b. (x3 + x2x +1) (x4 + x2+ x+ 1) C. (x3 + x2) (x4 +x2 + x +1) d. (a3 x2 x 1)/(21) 12. What is the polynomial representation of 101110? What is the result of shifting 101110 three bits to the left? 13. Two communicating devices are using a single-bit even parity check for error 10101010 and because of channel detection. The transmitter sends the byte 1 noise, the receiver gets the byte 10011010. Will the receiver detect the error? Why or why not? 14. What is the Hamming Distance between binary sequences 11010011 and 10110101