This library provides functions to perform bitwise operations.

#### Number Limitations

This library treats numbers as unsigned 32-bit integers; numbers will be
converted to this before being used (see image below). Numbers with decimal
numbers are rounded to the nearest whole number.

<img src="../../../assets/engine-api/libraries/bit32/32-Bit-Restriction.png" width="500" alt="32-bit integer conversion (in hexadecimal)" />


Returns the number `x` shifted `disp` bits to the right. The number `disp`
may be any representable integer. Negative displacements shift to the
left.

This shift operation is what is called arithmetic shift. Vacant bits on
the left are filled with copies of the higher bit of `x`; vacant bits on
the right are filled with zeros. In particular, displacements with
absolute values higher than 31 result in zero or 0xFFFFFFFF (all original
bits are shifted out).


bit32.arshift

disp

Returns a number after its bits have been arithmetically shifted to the
right by a given displacement.


Returns the bitwise AND of all provided numbers.

Each bit is tested against the following truth table:

<table>
  <thead>
    <tr>
      <th>A</th>
      <th>B</th>
      <th>Output</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>0</td>
      <td>0</td>
      <td>0</td>
    </tr>
    <tr>
      <td>1</td>
      <td>0</td>
      <td>0</td>
    </tr>
    <tr>
      <td>0</td>
      <td>1</td>
      <td>0</td>
    </tr>
    <tr>
      <td>1</td>
      <td>1</td>
      <td>1</td>
    </tr>
  </tbody>
</table>

<img src="../../../assets/engine-api/libraries/bit32/AND.png" width="500" alt="Bitwise AND of 3 numbers" />


bit32.band

numbers

Returns the bitwise AND of all provided numbers.


Returns the bitwise negation of `x`.

<img src="../../../assets/engine-api/libraries/bit32/NOT.png" width="500" alt="Negation of a provided number" />

For any integer `x`, the following identity holds:

```lua
assert(bit32.bnot(x) == (-1 - x) % 2^32)
```


bit32.bnot

Returns the bitwise negation of a given number.


Returns the bitwise OR of all provided numbers.

Each bit is tested against the following truth table:

<table>
  <thead>
    <tr>
      <th>A</th>
      <th>B</th>
      <th>Output</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>0</td>
      <td>0</td>
      <td>0</td>
    </tr>
    <tr>
      <td>1</td>
      <td>0</td>
      <td>1</td>
    </tr>
    <tr>
      <td>0</td>
      <td>1</td>
      <td>1</td>
    </tr>
    <tr>
      <td>1</td>
      <td>1</td>
      <td>1</td>
    </tr>
  </tbody>
</table>

<img src="../../../assets/engine-api/libraries/bit32/OR.png" width="500" alt="Bitwise OR of 3 numbers" />


bit32.bor

Returns the bitwise OR of all provided numbers.


Returns a boolean signalling whether the bitwise _and_ of its operands is
different from zero.


bit32.btest

Returns a boolean describing whether the bitwise and of its operands is
different from zero.


Returns the bitwise XOR of all provided numbers.

Each bit is tested against the following truth table:

<table>
  <thead>
    <tr>
      <th>A</th>
      <th>B</th>
      <th>Output</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>0</td>
      <td>0</td>
      <td>0</td>
    </tr>
    <tr>
      <td>1</td>
      <td>0</td>
      <td>1</td>
    </tr>
    <tr>
      <td>0</td>
      <td>1</td>
      <td>1</td>
    </tr>
    <tr>
      <td>1</td>
      <td>1</td>
      <td>0</td>
    </tr>
  </tbody>
</table>

<img src="../../../assets/engine-api/libraries/bit32/XOR.png" width="580" alt="Bitwise XOR of 3 numbers" />


bit32.bxor

Returns the bitwise XOR of all provided numbers.


Returns the given number with the order of the bytes swapped.


bit32.byteswap

Returns the number of consecutive zero bits in the 32-bit representation
of the provided number starting from the left-most (most significant) bit.
Returns 32 if the provided number is zero.


bit32.countlz

Returns the number of consecutive zero bits in the 32-bit representation
of the provided number starting from the left-most (most significant) bit.


Returns the number of consecutive zero bits in the 32-bit representation
of the provided number starting from the right-most (least significant)
bit. Returns 32 if the provided number is zero.


bit32.countrz

Returns the number of consecutive zero bits in the 32-bit representation
of the provided number starting from the right-most (least significant)
bit.


Returns the unsigned number formed by the bits `field` to
`field + width - 1` from `n`. Bits are numbered from 0 (least significant)
to 31 (most significant). All accessed bits must be in the range [0, 31].
The default for `width` is 1.


bit32.extract

field

width

Extract a range of bits from a number and return them as an unsigned
number.


Returns a copy of `n` with the bits `field` to `field + width - 1`
replaced by the value `v`. See `Library.bit32.extract()` for details about
`field` and `width`.


bit32.replace

Return a copy of a number with a range of bits replaced by a given value.


Returns the number `x` rotated `disp` bits to the left. The number `disp`
may be any representable integer. For any valid displacement, the
following identity holds:

```lua
assert(bit32.lrotate(x, disp) == bit32.lrotate(x, disp % 32))
```

In particular, negative displacements rotate to the right.


bit32.lrotate

Returns a number after its bits have been rotated to the left by a given
number of times.


Returns the number `x` shifted `disp` bits to the left. The number `disp`
may be any representable integer. Negative displacements shift to the
right. In any direction, vacant bits are filled with zeros. In particular,
displacements with absolute values higher than 31 result in zero (all bits
are shifted out).

<img src="../../../assets/engine-api/libraries/bit32/LSHIFT.png" width="500" alt="Number shifted 3 to the left" />

For positive displacements, the following equality holds:

```lua
assert(bit32.lshift(b, disp) == (b * 2^disp) % 2^32)
```


bit32.lshift

Returns a number whose bits have been logically shifted to the left by a
given displacement.


Returns the number `x` rotated `disp` bits to the right. The number `disp`
may be any representable integer.

For any valid displacement, the following identity holds:

```lua
assert(bit32.rrotate(x, disp) == bit32.rrotate(x , disp % 32))
```

In particular, negative displacements rotate to the left.


bit32.rrotate

Returns a number after its bits have been rotated to the right by a given
number of times.


Returns the number `x` shifted `disp` bits to the right. The number `disp`
may be any representable integer. Negative displacements shift to the
left. In any direction, vacant bits are filled with zeros. In particular,
displacements with absolute values higher than 31 result in zero (all bits
are shifted out).

<img src="../../../assets/engine-api/libraries/bit32/RSHIFT.png" width="500" alt="Number shifted 3 to the right" />

For positive displacements, the following equality holds:

```lua
assert(bit32.rshift(b, disp) == (b % 2^32 / 2^disp) // 1)
```

This shift operation is what is called logical shift.


bit32.rshift

Returns a number whose bits have been logically shifted to the right by a
given displacement.


bit32

A library of functions to perform bitwise operations.


An object that runs connected functions upon a specific occurrence.

Data Type

RBXScriptSignal

Luau

Tuple

Data type having a value of either true or false.

boolean

A double-precision floating-point number.

number

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This method is asynchronous and returns an `Operation`, which represents the current state of the operation. It contains an endpoint path that you can poll to obtain the real response and applicable metadata. See the [documentation]({longRunningOperationsLink}) on long-running operations for more information.
            
The following sections describe the response and metadata objects that are provided when an operation completes.

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For more information on generating keys, see [Manage API keys]({apiKeyReferenceDocLink}).

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This string is formatted as a [FieldMask](/cloud/reference/types#fieldmask).

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Resource Paths

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