Skip to content
Filevane

Complex Number Calculator

Add, subtract, multiply and divide complex numbers.

How to use Complex Number Calculator: Open Complex Number Calculator in your browser — it loads instantly and works offline once cached. Enter your values in the input fields. Every field is labelled so you know exactly what to type. The result updates automatically as you type — there is no "submit" round-trip to a server. Everything runs inside your browser, so your data never leaves your device.

Compute (a + bi) op (c + di)

Result: 4 − 2i
Result4 − 2i
Magnitude4.4721
Phase-26.57°

Add, subtract, multiply and divide complex numbers. Complex Number Calculator is a free, browser-based tool in the Filevane math calculators collection — there is nothing to install, no account to create and no watermark on your results. It works on desktop, tablet and mobile, and because the work happens on your own device it stays fast even with large inputs.

How to use Complex Number Calculator

  1. Open Complex Number Calculator in your browser — it loads instantly and works offline once cached.
  2. Enter your values in the input fields. Every field is labelled so you know exactly what to type.
  3. The result updates automatically as you type — there is no "submit" round-trip to a server.
  4. Adjust any input to compare scenarios and see how the outcome changes in real time.
  5. Copy or note the result. Nothing you enter is stored or sent anywhere.

Why use Complex Number Calculator?

  • 100% free with no limits, no sign-up and no watermarks.
  • Private by design — your data are processed in your browser and never uploaded to a server.
  • Fast and lightweight, with instant results even on a phone or a slow connection.
  • Works everywhere — any modern browser on Windows, macOS, Linux, Android or iOS.
  • Part of a full math calculators suite, so related complex number tasks are one click away.

What people use Complex Number Calculator for

  • Adding, multiplying or dividing complex numbers.
  • Converting between rectangular and polar form.
  • Checking working on an electrical or signal-processing problem.

Complex Number Calculator: limits and things worth knowing

  • A complex number is a + bi where i² = −1. Addition is componentwise; multiplication uses the distributive rule and the fact that i² = −1.
  • Division multiplies numerator and denominator by the conjugate of the denominator, which makes the denominator real.
  • Polar form r∠θ makes multiplication and powers straightforward — multiply the magnitudes and add the angles — which is why engineering uses it.
  • Electrical engineering writes j rather than i, because i is already current.

Is it private and secure?

Your privacy is built in. Complex Number Calculator runs completely on your device, so whatever you enter stays in your browser and is never transmitted, logged or stored on any server.

Network activity: none. Nothing is sent and nothing is fetched. This tool makes no network request at all once the page has loaded — which is why it keeps working if your connection drops.

You do not have to take that on trust — our privacy proof page publishes the Content-Security-Policy that enforces it, lists every third party it permits, and shows how to verify the whole claim yourself.

Learn more

Why Browser-Based Tools Are Safer for Your Files Most online converters upload your files to a server. Client-side tools don't. Here's why that difference matters for privacy.

Related tools

See all free online calculators or browse the full tool catalogue.