Final answer:
The binary search algorithm terminates when the first variable is greater than or equal to the last variable, which is True. This indicates that the entire sorted array has been searched and the target value was not found.
Step-by-step explanation:
The binary searching algorithm will terminate when the first variable is greater than or equal to the last variable. The correct answer to this statement is True.
The binary search algorithm is an efficient method used to find a target value within a sorted array. This approach works by repeatedly dividing in half the portion of the list that could contain the item, until the possible locations are narrowed down to just one.
During each iteration, it compares the target value to the middle element of the array. If the target value matches the middle element, the position is returned and the algorithm terminates. If the target value is less than the middle element, the search continues on the left half of the array; if the target value is greater, it continues on the right half of the array.
When the first index (typically denoted as low) is greater than or equal to the last index (high), it means the entire array has been searched and the target value was not found, hence the algorithm terminates.