A user-defined type can overload a predefined C# operator. That is, a type can provide the custom implementation of an operation in case one or both of the operands are of that type. The Overloadable operators section shows which C# operators can be overloaded.

Use the operator keyword to declare an operator. An operator declaration must satisfy the following rules:

• It includes both a public and a static modifier.
• A unary operator has one input parameter. A binary operator has two input parameters. In each case, at least one parameter must have type T or T? where T is the type that contains the operator declaration.

The following example defines a simplified structure to represent a rational number. The structure overloads some of the arithmetic operators:

public readonly struct Fraction
{

public Fraction(int numerator, int denominator)
{
if (denominator == 0)
{
throw new ArgumentException("Denominator cannot be zero.", nameof(denominator));
}
num = numerator;
den = denominator;
}

public static Fraction operator +(Fraction a) => a;
public static Fraction operator -(Fraction a) => new Fraction(-a.num, a.den);

public static Fraction operator +(Fraction a, Fraction b)
=> new Fraction(a.num * b.den + b.num * a.den, a.den * b.den);

public static Fraction operator -(Fraction a, Fraction b)
=> a + (-b);

public static Fraction operator *(Fraction a, Fraction b)
=> new Fraction(a.num * b.num, a.den * b.den);

public static Fraction operator /(Fraction a, Fraction b)
{
if (b.num == 0)
{
throw new DivideByZeroException();
}
return new Fraction(a.num * b.den, a.den * b.num);
}

public override string ToString() => \$"{num} / {den}";
}

{
public static void Main()
{
var a = new Fraction(5, 4);
var b = new Fraction(1, 2);
Console.WriteLine(-a);   // output: -5 / 4
Console.WriteLine(a + b);  // output: 14 / 8
Console.WriteLine(a - b);  // output: 6 / 8
Console.WriteLine(a * b);  // output: 5 / 8
Console.WriteLine(a / b);  // output: 10 / 4
}
}


You could extend the preceding example by defining an implicit conversion from int to Fraction. Then, overloaded operators would support arguments of those two types. That is, it would become possible to add an integer to a fraction and obtain a fraction as a result.

You also use the operator keyword to define a custom type conversion. For more information, see User-defined conversion operators.

+x, -x, !x, ~x, ++, --, true, false These unary operators can be overloaded.
x + y, x - y, x * y, x / y, x % y, x & y, x | y, x ^ y, x << y, x >> y, x == y, x != y, x < y, x > y, x <= y, x >= y These binary operators can be overloaded. Certain operators must be overloaded in pairs; for more information, see the note that follows this table.
x && y, x || y Conditional logical operators cannot be overloaded. However, if a type with the overloaded true and false operators also overloads the & or | operator in a certain way, the && or || operator, respectively, can be evaluated for the operands of that type. For more information, see the User-defined conditional logical operators section of the C# language specification.
a[i], a?[i] Element access is not considered an overloadable operator, but you can define an indexer.
(T)x The cast operator cannot be overloaded, but you can define custom type conversions that can be performed by a cast expression. For more information, see User-defined conversion operators.
+=, -=, *=, /=, %=, &=, |=, ^=, <<=, >>= Compound assignment operators cannot be explicitly overloaded. However, when you overload a binary operator, the corresponding compound assignment operator, if any, is also implicitly overloaded. For example, += is evaluated using +, which can be overloaded.
^x, x = y, x.y, x?.y, c ? t : f, x ?? y, x ??= y, x..y, x->y, =>, f(x), as, await, checked, unchecked, default, delegate, is, nameof, new, sizeof, stackalloc, switch, typeof, with These operators cannot be overloaded.

Note

The comparison operators must be overloaded in pairs. That is, if either operator of a pair is overloaded, the other operator must be overloaded as well. Such pairs are as follows:

• == and != operators
• < and > operators
• <= and >= operators

## C# language specification

For more information, see the following sections of the C# language specification: