Consider the following algorithm segment. Assume that n is a positive integer such that n 2 6. max := a[41 for i:= 5 to n if max < a[i] then max := a[i] next i (a) What is the actual number of elementary operations (additions, subtractions, multiplications, divisions, and comparisons) that are performed when the algorithm segment is executed? For simplicity, count only comparisons that occur within if-then statements, and ignore those implied by for-next loops. Express your answer in terms of n. (Hint: See Example 11.3.2 and Exercise 11.3.6a in the "Read It" link.) The number of operations is n- 4 (b) Apply the theorem on polynomial orders to the expression in part (a) to find that an order for the algorithm segment is n

please be clear and answer with all steps, thanks in advance to you

This question concerns the field GF(256). The modulus is P(x) = x° + x* + x° + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x° + x* + x, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). b) If p(x) = x' + x + x² + 1, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). c) Consider the hex byte Ox8b. What is the corresponding element of GF(256) (as a polynomial)? d) Consider the hex byte 0x2d. VWhat is the corresponding element of GF(256) (as a polynomial)?

Question 6. x + 2 is odd." Give an indirect proof of: "If x is an odd integer, then