How to Use the ERFC Function in Excel

The ERFC function calculates the complementary error function, often referred to as the Gauss error function, which is extensively used in statistics, probability theory, and signal processing. The complementary error function is mathematically represented as follows:

ERFC(x) = 1 - ERF(x)

where ERF represents the error function. This function in Excel and Google Sheets provides the value of the complementary error function for a specified input. The following sections offer a comprehensive guide on utilizing the ERFC function in both Excel and Google Sheets.

Excel:

The syntax for the ERFC function in Excel is:

=ERFC(x)

where x represents the numeric value for which the complementary error function is calculated. Below is an illustration of using the ERFC function in Excel:

x ERFC(x)
1 =ERFC(1)
2 =ERFC(2)
5 =ERFC(5)

Inputting these formulas into Excel will compute the complementary error function values for the respective inputs.

Google Sheets:

The ERFC function employs the exact same syntax in Google Sheets as in Excel:

=ERFC(x)

Here are some examples of the ERFC function applied in Google Sheets:

x ERFC(x)
1 =ERFC(1)
2 =ERFC(2)
5 =ERFC(5)

By entering these formulas into Google Sheets, you will receive the values of the complementary error function for the given inputs.

In conclusion, the ERFC function is a powerful utility for performing statistical calculations, readily available in both Excel and Google Sheets.

More information: https://support.microsoft.com/en-us/office/erfc-function-736e0318-70ba-4e8b-8d08-461fe68b71b3

Other functions
Returns the modified Bessel function In(x)
Returns the Bessel function Jn(x)
Returns the modified Bessel function Kn(x)
Returns the Bessel function Yn(x)
Converts a binary number to decimal
Converts a binary number to hexadecimal
Converts a binary number to octal
Returns a 'Bitwise And' of two numbers
Returns a value number shifted left by shift_amount bits
Returns a bitwise OR of 2 numbers
Returns a value number shifted right by shift_amount bits
Returns a bitwise 'Exclusive Or' of two numbers
Converts real and imaginary coefficients into a complex number
Converts a number from one measurement system to another
Converts a decimal number to binary
Converts a decimal number to hexadecimal
Converts a decimal number to octal
Tests whether two values are equal
Returns the error function
Returns the error function
Returns the complementary ERF function integrated between x and infinity
Tests whether a number is greater than a threshold value
Converts a hexadecimal number to binary
Converts a hexadecimal number to decimal
Converts a hexadecimal number to octal
Returns the absolute value (modulus) of a complex number
Returns the imaginary coefficient of a complex number
Returns the argument theta, an angle expressed in radians
Returns the complex conjugate of a complex number
Returns the cosine of a complex number
Returns the hyperbolic cosine of a complex number
Returns the cotangent of a complex number
Returns the cosecant of a complex number
Returns the hyperbolic cosecant of a complex number
Returns the quotient of two complex numbers
Returns the exponential of a complex number
Returns the natural logarithm of a complex number
Returns the base-10 logarithm of a complex number
Returns the base-2 logarithm of a complex number
Returns a complex number raised to an integer power
Returns the product of complex numbers
Returns the real coefficient of a complex number
Returns the secant of a complex number
Returns the hyperbolic secant of a complex number
Returns the sine of a complex number
Returns the hyperbolic sine of a complex number
Returns the square root of a complex number
Returns the difference between two complex numbers
Returns the sum of complex numbers
Returns the tangent of a complex number
Converts an octal number to binary
Converts an octal number to decimal
Converts an octal number to hexadecimal