Binary Search Algorithm Flowchart

Flowchart10 nodesEducation · Algorithm StudyMade from one prompt
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The prompt

Create a flowchart for a binary search algorithm

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About the framework

Trace binary search by narrowing the interval

This ten-node flowchart searches for a target in a sorted array. It initializes low to zero and high to n minus one, checks whether low is at most high, and calculates a midpoint. A matching value returns mid; otherwise, a second comparison chooses which bound to change.

The two update steps set low to mid plus one or high to mid minus one, then loop to the bounds check. When the interval is exhausted, the flow returns -1. The midpoint box writes (low+high) / 2 without stating integer rounding, so that detail needs clarification in a code-oriented version.

Use the diagram for a hand trace with a small sorted array. Record low, high, and mid after each iteration, and try both present and absent targets. The example returns a matching index but has no special branch for locating the first duplicate.

What's included

What you get

  • Ten algorithm nodes with three decision diamonds
  • Initialization of low and high search bounds
  • Two range-update paths looping to the bounds check
  • Return mid and Return -1 terminal outcomes
Flowchart

Binary Search Algorithm Flowchart

algorithmbinary searchcomputer sciencedata structures

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Frequently asked questions

Common questions

What kind of array does the example search?

The example assumes a sorted array. Its comparisons narrow the interval using that order; sorting is not a step in the diagram.

How should the midpoint division be interpreted?

The box does not state rounding. For an index-based version, make integer rounding explicit, for example with low + floor((high-low)/2).

What happens if the target is absent?

The bound updates repeat until low is greater than high. The No branch from low <= high then returns -1.

Binary Search Algorithm Flowchart

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