How to use ERFC Function in Excel

The Excel ERFC function calculates the Complementary Error Function, integrated between a supplied lower limit and infinity.

The Complementary Error Function is equal to 1 -ERF (i.e. 1 – Error Function), and is given by the equation: ERFC Function in Excel - How to use ERFC Function in Excel

Syntax: =ERFC(x)

The ERFC function syntax has the following arguments:

  • X    Required. The lower bound for integrating ERFC.

Example: Let’s look at some Excel ERFC function examples and explore how to use the ERFC function as a worksheet function in Microsoft Excel:

Excel ERFC Function - How to use ERFC Function in Excel

Syntax:  =ERFC(A2)


ERFC Function - How to use ERFC Function in Excel

Based on the Excel spreadsheet above, the following ERFC examples would return:

Syntax: =ERFC(A3)
Result: 0.479500122

Syntax: =ERFC(A4)
Result: 1.842700793

Syntax: =ERFC(A5)
Result: 0.157299207

Syntax: =ERFC(A6)
Result: 0.977435425

Syntax: =ERFC(A7)
Result: 0.033894854

Syntax: =ERFC(A8)
Result: 0.004677735

Syntax: =ERFC(A9)
Result: 2.20905E-05

Syntax: =ERFC(A10)
Result: 0.000406952

Syntax: =ERFC(A11)
Result: 0.943628022

Syntax: =ERFC(A12)
Result: 1.99997791

Syntax: =ERFC(A13)
Result: 1.999999985


  • If x is a non-numeric value, the function returns the #VALUE! error value.
  • The function returns the #NUM! error if one or both of the arguments are negative in Excel 2007 or earlier versions of Excel.

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