For binary search, we round down the average of the minimum and maximum indices to the nearest integer when calculating the middle index. This is because array indices must be integers. Rounding up could result in an index that is out of bounds for the array.
Here's an example to illustrate why rounding down is necessary:
Suppose we have an array with 10 elements, and we want to find the middle index. The minimum index is 0 and the maximum index is 9.
The average of 0 and 9 is 4.5. If we rounded up to 5, the middle index would be out of bounds for the array, since valid indices range from 0 to 9.
However, rounding down to 4 gives us the correct middle i...
