?44E Describe an algorithm based on the binary search for determining the correct position in which to insert a new element in an already sorted list.

Solution: Step-1: In this problem we need to describe an algorithm based on the binary search for determining the correct position in which to insert a new element in an already sorted list. Step-2: The algorithm is : Procedure binary search (x : integer,a ,a1,...2.,a : nncreasing integers) i1{i is left endpoint of search interval} jn{j is right endpoint of search interval} While i< j If x > a then im + 1 m else jm If x < aithen locationielse locationi + 1. return location{location is the insert a new element in an already sorted list} Thus, the above steps describes the algorithm based on the binary search for determining the correct position in which to insert a new element in an already sorted list.