Ordering Numbers Calculator
Sort numbers using different algorithms with step-by-step explanations
Sort Numbers with Algorithm
Quick Examples
Sorting Algorithms
Bubble Sort
Compares adjacent pairs and swaps them if they're in wrong order
Complexity: O(n²)
Insertion Sort
Builds sorted array one element at a time by inserting each element in correct position
Complexity: O(n²)
Selection Sort
Finds minimum/maximum element and places it at beginning/end
Complexity: O(n²)
Sorting Tips
Watch the step-by-step process to understand how algorithms work
Bubble sort is easiest to understand but slowest for large datasets
Insertion sort works well for small or nearly sorted datasets
Selection sort makes the minimum number of swaps
Understanding Number Ordering and Sorting Algorithms
Why Learn Sorting Algorithms?
Sorting algorithms are fundamental in computer science and help us understand how computers process and organize data efficiently.
Algorithm Comparison:
- Bubble Sort: Simple but inefficient - good for learning
- Insertion Sort: Efficient for small or nearly sorted data
- Selection Sort: Makes minimal swaps but still O(n²)
- Merge/Quick Sort: Much faster O(n log n) algorithms
How Humans vs Computers Sort
Human Approach
We use intuition, pattern recognition, and can process multiple comparisons simultaneously
Computer Approach
Follows systematic algorithms, processes one comparison at a time, but can work much faster
Best of Both
Modern algorithms incorporate human insights about data patterns