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Complex Number Workbench

Add, subtract, multiply and divide two complex numbers. Drag them on the plane and see every result, magnitude and phase update with its working.

Draggable planeWorked stepsTXT · CSV · JSON

Complex plane

A B results

Drag A or B. Dashed lines show the results. Dragging snaps to 0.1.

Number A

RealImaginary

Magnitude · Phase ()

Number B

RealImaginary

Magnitude · Phase ()

Results

Export

Project

Open project

Scope and limits

Uses ordinary floating-point arithmetic, shown to 10 significant digits; downloads keep full precision. Division by a zero B is reported as undefined. Phase uses the atan2 convention, from −180° to 180°.

Calculations run in your browser. The website’s advertising and analytics follow its privacy and consent settings. Nothing is saved automatically.

Using Complex Number Workbench

Compare arithmetic results for two complex numbers and inspect their magnitudes and phases.

Enter the real and imaginary parts of A and B, or drag the points on the plane.
Read the four results, each with its magnitude, phase and working. They update as you edit.
Copy the results, download a report or save your project.

Example

3, 4
Second input: 1, -2

Questions & answers

What does this tool do?

Compare arithmetic results for two complex numbers and inspect their magnitudes and phases.

What input should I provide?

A: real, imaginary. Second input: B: real, imaginary. The built-in example demonstrates the expected syntax.

What limits should I know?

Combined text limit: 200,000 characters; at most 5,000 result rows. Processing stops after 15 seconds and output is capped at 8 million characters. Result notes describe the algorithm and assumptions.

Can I save or print the result?

Yes. Download TXT, CSV, JSON, or a self-contained printable HTML report. A separate project JSON preserves input and settings for this tool.

Is anything uploaded or saved automatically?

No processing upload or automatic draft saving is performed. Downloads can contain your input or derived data. Site advertising and analytics are covered by the privacy information.