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
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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