COMPLEX function

This article describes the formula syntax and usage of the COMPLEXfunction in Microsoft Excel.

Description

Converts real and imaginary coefficients into a complex number of the form x + yi or x + yj.

Syntax

COMPLEX(real_num, i_num, [suffix])

The COMPLEX function syntax has the following arguments:

  • Real_num    Required. The real coefficient of the complex number.

  • I_num    Required. The imaginary coefficient of the complex number.

  • Suffix    Optional. The suffix for the imaginary component of the complex number. If omitted, suffix is assumed to be "i".

Note   All complex number functions accept "i" and "j" for suffix, but neither "I" nor "J". Using uppercase results in the #VALUE! error value. All functions that accept two or more complex numbers require that all suffixes match.

Remarks

  • If real_num is nonnumeric, COMPLEX returns the #VALUE! error value.

  • If i_num is nonnumeric, COMPLEX returns the #VALUE! error value.

  • If suffix is neither "i" nor "j", COMPLEX returns the #VALUE! error value.

Example

The example may be easier to understand if you copy it to a blank worksheet.

How do I copy an example?

  1. Select the example in this article.

    Important   Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. In Excel, create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V.

    Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

1


2


3


4


5

A

B

Formula

Description (Result)

=COMPLEX(3,4)

Complex number with 3 and 4 as the real and imaginary coefficients (3 + 4i)

=COMPLEX(3,4,"j")

Complex number with 3 and 4 as the real and imaginary coefficients, and j as the suffix (3 + 4j)

=COMPLEX(0,1)

Complex number with 0 and 1 as the real and imaginary coefficients (i)

=COMPLEX(1,0)

Complex number with 1 and 0 as the real and imaginary coefficients (1)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online



Was this information helpful?

Yes No

How can we improve it?

255 characters remaining

To protect your privacy, please do not include contact information in your feedback. Review our privacy policy.

Thank you for your feedback!

Support resources

Change language