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Complex Number Arithmetic

Compute sum, difference, product and quotient of two complex numbers.

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Complex number calculator online

Compute sum, difference, product and quotient of two complex numbers. Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

How to use it

Enter 4 comma-separated numbers in this order: real a, imaginary a, real b, imaginary b. Choose Calculate. Review the output, then copy or download it.

Calculation method

Compute sum, difference, product and quotient of two complex numbers.

Worked examples

Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

Reproducible worked example

Settings: No additional settings.

Input:

2, 3, 1, -2

With the input and settings above, the tool produces:

Output:

{
  "sum": {
    "real": 3,
    "imaginary": 1
  },
  "difference": {
    "real": 1,
    "imaginary": 5
  },
  "product": {
    "real": 8,
    "imaginary": -1
  },
  "quotient": {
    "real": -0.8,
    "imaginary": 1.4
  }
}

The example returns an object with 4 top-level fields. The fields “sum”, “difference”, “product”, “quotient” identify the returned values or sections.

Limitations and common mistakes

  • A mathematical scenario based on your input values, not a forecast, quotation or professional recommendation. Use consistent units and verify assumptions.
  • Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.
  • Use a dot as the decimal separator and commas or spaces between numeric entries. The calculation uses floating-point arithmetic unless exact integers are explicitly stated.

Frequently asked questions

What format should I enter?

Enter 4 comma-separated numbers in this order: real a, imaginary a, real b, imaginary b. The worked example shows the supported structure and actual output.

How can I calculate sum, difference, product and quotient of two complex numbers online?

Enter 4 comma-separated numbers in this order: real a, imaginary a, real b, imaginary b. Choose Calculate. Review the output, then copy or download it.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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