Linear search is a search that finds an element in the list by searching the element sequentially until the element is found in the list. On the other hand, a binary search is a search that finds the middle element in the list recursively until the middle element is matched with a searched element.
Differences between Linear Search and Binary Search are stated below
|Basis of comparison
|The linear search starts searching from the first element and compares each element with a searched element till the element is not found.
|It finds the position of the searched element by finding the middle element of the array.
|In a linear search, the elements don’t need to be arranged in sorted order.
|The pre-condition for the binary search is that the elements must be arranged in a sorted order.
|The linear search can be implemented on any linear data structure such as an array, linked list, etc.
|The implementation of binary search is limited as it can be implemented only on those data structures that have two-way traversal.
|It is based on the sequential approach.
|It is based on the divide and conquer approach.
|It is preferrable for the small-sized data sets.
|It is preferrable for the large-size data sets.
|It is less efficient in the case of large-size data sets.
|It is more efficient in the case of large-size data sets.
|In a linear search, the worst- case scenario for finding the element is O(n).
|In a binary search, the worst-case scenario for finding the element is O(log2n).
|In a linear search, the best-case scenario for finding the first element in the list is O(1).
|In a binary search, the best-case scenario for finding the first element in the list is O(1).
|It can be implemented on both a single and multidimensional array.
|It can be implemented only on a multidimensional array.