Mathematics

Complex Number Calculator

Add, subtract, multiply or divide complex numbers and obtain the modulus and argument.

01Input and settings

The calculation runs in your browser. You can use the tool without installing software.

02Result

Waiting for input
Waiting for input

Enter your values or load the example to see the result here.

About this tool: Complex Number Calculator

Add, subtract, multiply or divide complex numbers and obtain the modulus and argument.

Write the first number as a+bi and the second as c+di. The result includes its Cartesian form, magnitude and argument in degrees. Division by zero is rejected; a scaled division formula reduces overflow when divisor components are large.

How the calculation works

(a+bi)(c+di) = (ac−bd) + (ad+bc)i

Worked example

Mode
Multiply
a (Re)
1
b (Im)
2
c (Re)
3
d (Im)
4
(1+2i)(3+4i) = −5+10i

Questions and answers

What does this tool do?

Add, subtract, multiply or divide complex numbers and obtain the modulus and argument. Write the first number as a+bi and the second as c+di. The result includes its Cartesian form, magnitude and argument in degrees. Division by zero is rejected; a scaled division formula reduces overflow when divisor components are large.

What affects precision and input format?

Floating-point results are rounded for display. Keep the units shown in the input labels; decimal points and decimal commas are accepted.

Where are the calculations performed?

The calculation runs in your browser. You can use the tool without installing software.

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