> ## Documentation Index
> Fetch the complete documentation index at: https://docs.syntblaze.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Go Bit Clear

The `&^` operator in Go is the **bit clear** (AND NOT) operator. It is a binary operator that forces bits in the left operand to `0` if the corresponding bits in the right operand are set to `1`. If a bit in the right operand is `0`, the corresponding bit in the left operand remains unchanged.

## Syntax

```go theme={"dark"}
result := x &^ y
```

## Logical Equivalence

In Go, `x &^ y` is strictly equivalent to performing a bitwise AND on `x` and the bitwise complement (NOT) of `y`.

```go theme={"dark"}
x &^ y == x & (^y)
```

Go provides `&^` as a dedicated operator to perform this operation in a single step, avoiding the need to manually invert the right operand before applying the AND operation.

## Truth Table

The operation evaluates each bit position independently according to the following logic:

| Bit `x` (Left) | Bit `y` (Right) | `x &^ y` (Result) |
| :------------: | :-------------: | :---------------: |
|        0       |        0        |       **0**       |
|        0       |        1        |       **0**       |
|        1       |        0        |       **1**       |
|        1       |        1        |       **0**       |

*Rule of thumb: The right operand acts as a mask. A `1` in the mask clears the bit. A `0` in the mask leaves the bit alone.*

## Bitwise Mechanics

To visualize the operation, align the binary representations of two 8-bit integers:

```text theme={"dark"}
x      = 10101010  (Decimal: 170)
y      = 00001111  (Decimal: 15)

x &^ y = 10100000  (Decimal: 160)
```

1. The upper 4 bits of `y` are `0`. Therefore, the upper 4 bits of `x` (`1010`) are preserved in the result.
2. The lower 4 bits of `y` are `1`. Therefore, the lower 4 bits of `x` (`1010`) are forced to `0000` in the result.

## Code Implementation

```go theme={"dark"}
package main

import "fmt"

func main() {
    x := 0b11001100
    y := 0b01010101

    // Perform bit clear
    result := x &^ y

    // %08b formats the integer as an 8-digit binary string
    fmt.Printf("x:      %08b\n", x)
    fmt.Printf("y:      %08b\n", y)
    fmt.Printf("x &^ y: %08b\n", result)
}
```

**Output:**

```text theme={"dark"}
x:      11001100
y:      01010101
x &^ y: 10001000
```

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