MathF.IEEERemainder() Method in C# with Examples

In C#, IEEERemainder(Single) is a MathF class method which is used to return the remainder resulting from the division of a specified number by another specified number.

Syntax: public static float IEEERemainder (float x, float y);

x: It is the dividend of type System.Single.
y: It is the divisor of type System.Single.

Return Type: This method returns a number equal to x – (y Q), where Q is the quotient of x / y rounded to the nearest integer of type System.Single.


  • If x / y falls halfway between two integers, the even integer is returned.
  • If x – (y Q) is zero, the value Positive Zero is returned if x is positive, or Negative Zero if y is negative.
  • If y = 0, NaN is returned.

Difference Between IEEERemainder and Remainder Operator: Both are used to returns the remainder after division but the formulas they use are different. The formula for the IEEERemainder method is:

IEEERemainder = dividend - (divisor * MathF.Round(dividend / divisor))

And the formula for the remainder operator is:

Remainder = (MathF.Abs(dividend) - (MathF.Abs(divisor) *  
            (MathF.Floor(MathF.Abs(dividend) / MathF.Abs(divisor))))) *   






// C# Program to illlustrate the use of
// MathF.IEEERemainder(Single, Single)
// Method
using System;
class Geeks {
    // Method to calculate the remainder
    private static void DisplayRemainder(float x,
                                        float y)
        var calculation = $"{x} / {y} = "
        // calculating IEEE Remainder
        var ieeerem = MathF.IEEERemainder(x, y);
        // using remainder operator
        var rem_op = x % y;
        Console.WriteLine($"{calculation,-16} {ieeerem,18} {rem_op,20}");
    // Main Method
    public static void Main()
        Console.WriteLine($"{"IEEERemainder",35} {"Remainder Operator",20}"); 
        // calling the method
        DisplayRemainder(0f, 1f);
        DisplayRemainder(-4f, 8f);
        DisplayRemainder(1f, 0f);
        DisplayRemainder(-1f, -0f);
        DisplayRemainder(175f, 6f);
        DisplayRemainder(784.52f, 124f);
        DisplayRemainder(92.267f, 3.259f);



IEEERemainder   Remainder Operator
0 / 1 =                           0                    0
-4 / 8 =                         -4                   -4
1 / 0 =                         NaN                  NaN
-1 / 0 =                        NaN                  NaN
175 / 6 =                         1                    1
784.52 / 124 =             40.52002             40.52002
92.267 / 3.259 =            1.014997             1.014997

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