![]() If the search ends with the remaining half being empty, the target is not in the array.īinary search runs in logarithmic time in the worst case, making O ( log n ). If they are not equal, the half in which the target cannot lie is eliminated and the search continues on the remaining half, again taking the middle element to compare to the target value, and repeating this until the target value is found. Binary search compares the target value to the middle element of the array. Then by the intermediate value theorem, the continuous function fmust have at least one root in the interval (a b). ![]() In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array. Bisection Method This method is applicable for numerically solving the equation f(x) 0 for the real variable x, where f is a continuous function de ned on an interval a b and f(a) and f(b) have opposite signs. Visualization of the binary search algorithm where 7 is the target value
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