Binary Search Step by Step
This animation walks through binary search on a sorted array, highlighting the low, mid, and high indices as the middle element is compared to a target value and half the search space is discarded each round. A complete worked example shows index tracking and comparisons until the target is located. The video closes by deriving why the process runs in O(log n) time, contrasting it with linear search's O(n) behavior. Useful for second-year CSE students studying algorithm design and complexity analysis.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Explain binary search to a second-year Computer Science and Engineering student. Start with a sorted array and a target value. Visually show the middle element being selected, compare it with the target, eliminate the half that cannot contain the target, and repeat until the target is found. Include one complete worked example with clear array values, indices, comparisons, and the final result. Use simple visual animations and concise narration. End with the time complexity O(log n) and explain why binary search is faster than linear search for a sorted array. Audience: Second year {computer science and Engineering}
Make the next one in this series
- Compare binary search and linear search running times with an animated race on the same array.
- Show recursive vs iterative binary search implementations side by side with call stack visualization.
- Extend binary search to find the first and last occurrence of a repeated target value.
