Please include explanations to each answer.

Find the distance between x and y. x = 110110 and y = 000101 3 2 4 6 You receive the following binary message: 1001001. The message includes three check bits. Was there any bit erroneously received and if so which one? a1 = 001 a2 = 010 a3 = 011 a5 = 101 You receive the following binary message: 1001001. The message includes three check bits. What was the correct number (in decimal system) sent? 2 9 5 1 you receive the following binary message: 1001101. The message induces three check bits. Was there any bit erroneously received and if so which one? a1 = 001 a3 = 011 a7 = 111 a6 = 110 you receive the following binary message: 1001101. The message includes three check bits. What was the correct number (in decimal system) sent? 9 4 5 1 Proof that, if n is an integer and n^2 is odd, then n is odd. True False Use direct proof using definitions only or give counter-example. Proof that for all integers, if a is even and b is odd then a^2 - 3b is odd. True False