Explain binary search with a simple example
The short version: binary search refers to an algorithm that halves a sorted search space on every comparison. A quick example makes it concrete — Searching 1024 sorted items takes at most about 10 comparisons.
How to approach it step by step
Once one example makes sense, the method generalises: check the middle element, discard the impossible half, then repeat. In a visual interactive session the example is built on screen piece by piece, so you see which quantity changes at each step instead of only reading a final answer. Ask for a harder variant and the explanation adapts on the spot.
Worked example
Searching 1024 sorted items takes at most about 10 comparisons.
The mistake most learners make
Running binary search on unsorted data, which gives wrong results.
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