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# C++ Logical NOT

The `!` (Logical NOT) operator is a unary operator that performs logical negation on its operand. It evaluates the boolean state of an expression and returns the inverted boolean value: `true` if the operand evaluates to `false`, and `false` if the operand evaluates to `true`.

## Syntax

```cpp theme={"dark"}
!operand
```

## Evaluation Mechanics and Type Conversion

When the `!` operator is applied, the operand is contextually converted to `bool` before applying the negation. This specific standard terminology is critical because contextual conversions specifically allow the compiler to invoke `explicit` conversion operators (e.g., `explicit operator bool() const`), which standard implicit conversions forbid. The operator strictly returns a `bool` prvalue (pure rvalue).

* **Boolean Operands:** `!true` evaluates to `false`; `!false` evaluates to `true`.
* **Integer and Floating-Point Types:** Any non-zero value evaluates to `true` (resulting in `false` after negation). A value of exactly `0` or `0.0` evaluates to `false` (resulting in `true` after negation).
* **Pointers:** A null pointer evaluates to `false` (resulting in `true`). A non-null pointer evaluates to `true` (resulting in `false`).
* **std::nullptr\_t:** Applying `!` to `nullptr` evaluates to `true`.

## Precedence and Associativity

The `!` operator has high precedence. The ISO C++ Standard does not officially number precedence levels, as precedence is derived entirely from the language's grammar rules. However, unofficial community references (such as *cppreference.com*) commonly group it with other unary operators like `++`, `--`, `~`, and unary `-` near the top of the precedence hierarchy.

It features **right-to-left associativity**, meaning chained unary operators are evaluated from the innermost operand outward.

Because its precedence is higher than relational and equality operators, parentheses are required to negate the result of a comparison:

```cpp theme={"dark"}
!a == b    // Evaluates as: (!a) == b
!(a == b)  // Evaluates as: Negation of the result of (a == b)
!!a        // Evaluates as: !(!a) (Double negation, forces conversion to bool)
```

## Operator Overloading

The `!` operator can be overloaded for user-defined types by defining `operator!`. By convention, the overloaded operator should return a `bool`, though the language permits returning other types. It must be implemented as a unary function (either as a member function taking no arguments or a non-member function taking one argument).

Failing to return a value from a value-returning function results in Undefined Behavior, so a return statement is mandatory.

**Member function signature:**

```cpp theme={"dark"}
class MyClass {
public:
    bool operator!() const {
        // Implementation returning boolean state
        return false; 
    }
};
```

**Non-member function signature:**

```cpp theme={"dark"}
bool operator!(const MyClass& obj) {
    // Implementation returning boolean state
    return false; 
}
```

## Alternative Token

C++ provides `not` as an alternative keyword for the `!` operator. It functions identically at the compiler level and does not require including any headers in modern C++ (unlike C, which requires `<iso646.h>`).

```cpp theme={"dark"}
not operand // Exactly equivalent to !operand
```

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