What are the disadvantages of using a Binary Search?

Answer 1

The primary advantage of a binary search algorithm is that searching a sequence can be achieved in logarithmic time. The primary disadvantages are that the data must be in sorted order. Arrays are the ideal container for binary searches as they provide constant-time random-access and are therefore trivial to both sort and search efficiently. Sorted binary trees can also be used, however for optimal performance they must be totally balanced (e.g., red/black binary tree). Constant-time random-access is not a requirement of binary trees, however the cost of maintaining balance during construction of the tree has to be taken into account.

With a linear search, we start at one end of the sequence and traverse through the sequence one element at a time until we find the value we're looking for, or we reach the element one-past-the-end of the sequence (in which case the element we're looking for does not exist). For a sequence of n elements, the worst case is O(n). Linear search is ideal for forward lists (singly-linked lists) and lists (doubly-linked lists) as neither provides nor requires constant-time random-access.

With binary search, we locate the middle element in the sequence. If that's not the value we are looking for, we can easily determine which half of the sequence contains our value because the elements are in sorted order. So we eliminate the other half and repeat the algorithm with the remaining half. As such, each failure to find the value reduces the number of elements to be searched by half (plus the middle element). If there are no elements in the remaining half then the value does not exist. The worst case is therefore O(log n).

Answer 2

the binary search algorithm works as access the middle element of list.this means that the list must be stored in some type of array, the problem occur when inserting an array require move down the elements of list and in case of deleting from an array moved up the elements of the list.

Answer 3

searching can be used more time,

its have same level of leaf node , so memory can be waste