Consider a binary search. Its algorithm will be presented, as well as an example of a program that implements the search for an element in an array. We will develop the development in the C programming language.

So, the idea of binary search is as follows: the element sought is compared with the middle element of the sequence. If the value of the search argument is less than the average element, then the initial sequence is an array of elements from 1 to N/2, if the value of the search argument is greater than the average element, then the initial sequence is considered to be a sequence from N/2 to N. Next, for a new sequence, this process is repeated. Continue dividing the search interval into halves until the searched item is found or the length of the search interval becomes one.

We present the implementation of the algorithm in C language. The function int binary search (int a, int mass [], int n) takes as arguments: the element to be searched, a pointer to an array of elements, and the number of elements in this array. In the case of a successful search, binary search returns the position of the searched item in the array, if the search argument is not present in the element sequence, then the function returns -1.

```
#include<stdio.h>
#include<conio.h>
void main()
{
int a[100],i,n,x,f,l,m,flag=0;
clrscr();
printf("enter how many value in array\n");
scanf("%d",&n);
printf("Enter %d value in ascending order\n",n);
for(i=0;i<n;i++)
scanf("%d",&a[i]);
printf("Which value to be search ->");
scanf("%d",&x);
/* Binary Search logic */
f=0;l=n-1;
while(f<=l)
{
m=(f+l)/2;
if(x==a[m])
{
flag=1;
break;
}
else if(x<a[m])
l=m-1;
else
f=m+1;
}
if(flag==0)
printf("%d value not found\n",x);
else
printf("%d value found at location %d\n",x,m);
getch();
}
```

Binary search is a widely used search algorithm in C programming. The goal is to locate an element in a sorted array using a binary search. We can use binary search to find the index of a particular element in the array.

Binary search is a commonly used search algorithm in C programming. The goal of this algorithm is to find an element in an array which is either equal or greater than a given value. The basic idea of the binary search is to start from the midpoint of the array and move towards both the end points of the array. We keep dividing the interval of the array into two halves. If the value to be searched is greater than the middle element of the array then we start searching in the left half of the array. If the value is equal to the middle element of the array, we start searching in the right half of the array. If the value is less than the middle element of the array, we search in the left half of the array. This continues till the value is found.

We can use binary search to find the index of a particular element in the array. To find the index of a particular element in the array, we divide the interval of the array into two halves. We keep dividing the interval of the array into two halves. If the value to be searched is greater than the middle element of the array then we start searching in the left half of the array. If the value is equal to the middle element of the array, we start searching in the right half of the array. If the value is less than the middle element of the array, we search in the left half of the array. This continues till the value is found.