Radix Sort Calculator

Enter values and watch every radix pass. Check buckets, complexity, order, errors, and cleaned output. Export neat summaries for records, lessons, and projects today.

Calculator Input

Use commas, spaces, semicolons, pipes, or lines.

Example Data Table

Input values Base Order Expected output Learning point
170, 45, 75, 90, 802, 24, 2, 66 10 Ascending 2, 24, 45, 66, 75, 90, 170, 802 Classic decimal radix example.
-12, 4, -5, 0, 99, 31 10 Ascending -12, -5, 0, 4, 31, 99 Signed values are separated safely.
15, 7, 3, 31, 1 2 Descending 31, 15, 7, 3, 1 Binary passes may show more steps.

Formula Used

For each digit place, the calculator uses this bucket digit formula:

digit = floor(abs(number) / place) mod base

place = base^k, starting at k = 0. Values are collected from bucket 0 to bucket base minus 1 for ascending order. Signed values are handled by sorting negative magnitudes and non-negative values separately. Final descending order is made by reversing the ascending signed result.

Time complexity is O(d × (n + b)). Here, d is digit width, n is the number count, and b is the radix base.

How to Use This Calculator

Enter whole numbers in the text box. Separate them with commas, spaces, lines, semicolons, or pipes. Choose a radix base from 2 to 36. Select the output order and separator. Pick whether duplicate values should stay or be removed. Then press the calculate button. Review the sorted output above the form. Use the pass table to inspect each bucket step. Download the CSV or PDF report when you need a saved copy.

Radix Sort Guide

Radix sort is a digit based sorting method. It does not compare every value directly. Instead, it groups numbers by each digit position. The process starts with the least significant digit. Then it moves toward larger place values. This calculator shows that movement clearly.

Why This Calculator Helps

Manual radix sorting can feel slow. You must build buckets for ones, tens, hundreds, or another chosen base. One missed bucket can change the final order. This tool reduces that risk. It parses your list, cleans values, handles signs, and displays each pass. You can study the sorted result and the path used to reach it.

Advanced Input Control

The calculator accepts comma, space, semicolon, pipe, or line separated integers. You may choose ascending or descending order. You may also select a base from 2 to 36. Base ten is familiar. Base two can help with binary teaching. Larger bases can reduce pass count, although each pass has more buckets.

Signed Number Support

Radix sort works most naturally with non-negative integers. This page extends it for signed lists. Negative values are separated first. Their absolute magnitudes are sorted. The negative side is then reversed for ascending order. This places larger negative magnitudes before smaller ones. Finally, non-negative values are joined after them.

Reading the Results

The result summary gives the cleaned input count, ignored tokens, minimum, maximum, pass count, and complexity estimate. The pass table shows the active place value. It also lists bucket groups and the array after collection. These rows make debugging easier.

Using Downloads

The CSV file is useful for spreadsheets. It stores the main result and pass details. The PDF file is useful for lessons, records, or quick sharing. Both downloads use the same calculated data shown on the page. That keeps the report consistent.

Best Practice

Enter only whole numbers when possible. Check the ignored token list before trusting a result. Use a smaller base when teaching each digit step. Use a larger base when you want fewer passes. Compare both modes to understand the tradeoff. Always review the pass table for very important work.

Keep a saved copy when results support classroom notes. Use it for audits or repeat team reviews later too.

FAQs

What is a radix sort calculator?

It is a tool that sorts integers by digit positions. It also shows bucket passes, output order, complexity, and downloadable results.

Can this calculator sort negative numbers?

Yes. It separates negative values, sorts their magnitudes, reverses that side, and then joins non-negative values for correct signed order.

Which radix base should I choose?

Base 10 is best for decimal learning. Base 2 helps binary lessons. Larger bases may reduce passes but add more buckets.

Does radix sort compare numbers directly?

No. Radix sort groups values by digits. It repeatedly collects buckets until all needed digit places have been processed.

What input separators are allowed?

You can use commas, spaces, new lines, semicolons, or pipe symbols. The parser reads all these separators automatically.

Why are invalid tokens ignored?

Skip mode keeps useful values and lists ignored tokens. Strict mode stops calculation so you can clean the input first.

What does the pass table show?

It shows each digit place, filled buckets, and the collected array after that pass. This helps explain the sorting path.

Can I save the result?

Yes. Use the CSV button for spreadsheet work. Use the PDF button for a readable report or teaching handout.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.