. (a) Prove or disprove carefully and in detail: (i) Θ is transitive and (ii) ω is transitive. (b) Assume n is a positive integer. Algorithm A(n: int) int z = 0; int temp = 0; for (int i = 0; i < n ; i++) { for (int j = 0 ; j < i ; j++) { int temp = i + j ; int z = z + temp; } } System. out. println(z) ; What is the input size for Algorithm A? Analyze carefully and explicitly the time complexity of A in terms of the input size. Show all steps. Is A a polynomial time algorithm? Justify your answer.

You need to design a circuit that implements the functions in the following table: s0 s1 function0 0 a + 10 1 a – b1 0 a + b1 1 a – 1s0 and s1 are 1-bit control inputs to select the function of the circuit. inputs a and b are 4-bitnumbers in 2s complement form. the output is also a 4-bit number in 2s complement form. you are allowed to use only one ttl 7483 4-bit adder to implement all the functions. but anynumber of other components (except the adder) can be used. hint: design a combinational logic circuit to modify the input b and the “carry input” of theadder depending on the control inputs s0 and s1.important: lab grade will depend on the working of the circuit & will be checked of by your labinstructor.1. is the output valid for the following input combinations: a. s0 = 0, s1 = 0, a = 7, b = 3? b. s0 = 0, s1 = 1, a = 7, b = 3? c. s0 = 1, s1 = 0, a = -4, b = -5? d. s0 = 1, s1 = 1, a = -8, b = 6? 2. what is the range of inputs (for both a and b) that will produce the valid output for all the functions?

Select the correct answer. peter has launched a website that features baby products. however, clients often find they are unable to access the website because the server is down. which feature of cybersecurity should peter focus on for his website? a. data authenticity b. data privacy c. data availability d. data integrity e. data encryption

Asecurity policy is a a. set of guidlines b. set of transmission protocols c. written document d. set of rules based on standards and guidelines