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# Java Bitwise XOR Assignment

The `^=` operator is the bitwise exclusive OR (XOR) compound assignment operator in Java. It evaluates the bitwise XOR between the left-hand operand and the right-hand operand, and subsequently assigns the computed result back to the left-hand operand.

## Syntax and Equivalence

```java theme={"dark"}
leftOperand ^= rightOperand;
```

Internally, the Java compiler evaluates this expression as:

```java theme={"dark"}
leftOperand = (Type) (leftOperand ^ rightOperand);
```

The inclusion of the implicit cast `(Type)` is a critical language feature. If the left operand is of a type narrower than `int` (such as `byte`, `short`, or `char`), the bitwise operation is performed using 32-bit `int` promotion. The compound assignment operator automatically handles the narrowing primitive conversion back to the original type, preventing potential compilation errors.

## Mechanics on Integral Types

When applied to integer types (`byte`, `short`, `int`, `long`, `char`), the operator compares the binary representations of both operands bit by bit. The resulting bit is `1` if the corresponding bits in the operands are different, and `0` if they are identical.

**Truth Table for Bitwise XOR:**

* `0 ^ 0 = 0`
* `0 ^ 1 = 1`
* `1 ^ 0 = 1`
* `1 ^ 1 = 0`

**Execution Example:**

```java theme={"dark"}
int a = 10; // Binary representation: 1010
int b = 6;  // Binary representation: 0110

a ^= b;     // Bitwise XOR evaluation:
            //   1010
            // ^ 0110
            // ---
            //   1100 (Decimal 12)

// 'a' is now assigned the value 12
```

## Mechanics on Boolean Types

When applied to `boolean` operands, `^=` functions as a logical XOR assignment. It evaluates to `true` if and only if the left and right operands possess strictly opposing boolean values.

**Execution Example:**

```java theme={"dark"}
boolean state = true;

state ^= false; // true ^ false -> true. 'state' remains true.
state ^= true;  // true ^ true  -> false. 'state' becomes false.
```

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