Skip to content
Related Articles

Related Articles

Improve Article
Save Article
Like Article

C Program for Binary Insertion Sort

  • Last Updated : 17 Sep, 2021

We can use binary search to reduce the number of comparisons in normal insertion sort. Binary Insertion Sort find use binary search to find the proper location to insert the selected item at each iteration. 
In normal insertion, sort it takes O(i) (at ith iteration) in worst case. we can reduce it to O(logi) by using binary search.


We provide nothing but the best curated videos and practice problems for our students. Check out the C Foundation Course and master the C language from basic to advanced level. Wait no more, start learning today!


// C program for implementation of binary insertion sort
#include <stdio.h>
// A binary search based function to find the position
// where item should be inserted in a[low..high]
int binarySearch(int a[], int item, int low, int high)
    if (high <= low)
        return (item > a[low])?  (low + 1): low;
    int mid = (low + high)/2;
    if(item == a[mid])
        return mid+1;
    if(item > a[mid])
        return binarySearch(a, item, mid+1, high);
    return binarySearch(a, item, low, mid-1);
// Function to sort an array a[] of size \'n\'
void insertionSort(int a[], int n)
    int i, loc, j, k, selected;
    for (i = 1; i < n; ++i)
        j = i - 1;
        selected = a[i];
        // find location where selected should be inserted
        loc = binarySearch(a, selected, 0, j);
        // Move all elements after location to create space
        while (j >= loc)
            a[j+1] = a[j];
        a[j+1] = selected;
// Driver program to test above function
int main()
    int a[] = {37, 23, 0, 17, 12, 72, 31,
              46, 100, 88, 54};
    int n = sizeof(a)/sizeof(a[0]), i;
    insertionSort(a, n);
    printf("Sorted array: \n");
    for (i = 0; i < n; i++)
        printf("%d ",a[i]);
    return 0;

Please refer complete article on Binary Insertion Sort for more details!

My Personal Notes arrow_drop_up
Recommended Articles
Page :

Start Your Coding Journey Now!