Ficiency Analysis. For each problem given below, do the following: Create an algorithm in pseudocode to solve the problem. Identify the factors that would influence the running time of your algorithm. For example, if your algorithm is to search an array the factor that influences the running time is the array size. Assign names (such as n) to each factor. Count the operations performed by the algorithm. Express the count as a function of the factors you identified in Step 2. To do that, identify the basic operations of the algorithm. There is no need count every statement separately only the ones that will influence the running time. Describe the best case scenario for the algorithm and derive the big O. Describe the worst case scenario for the algorithm and derive the big O.

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?