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) == math.floor(b % 2^32 / 2^disp))
```

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.

bool

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.

Beta endpoints are ready for public use. Breaking changes are possible but rare.

This field may be set when creating a resource, but may not be modified by subsequent requests.

This field may be provided in requests, but will never be included in responses.

Per API Key: {maxInPeriod} requests every {periodInSeconds} seconds per IP Address

This field may be set on responses, but will be ignored in requests.

The following API key permissions are required to call this endpoint. For more
information on generating proper keys, see [Managing API Keys]({apiKeyReferenceDocLink}).

The following endpoints are available at paths relative to the base URL.

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

A JSON value can be `null`, `boolean`, `string`, `number`, `array`, or `object`.

The following scopes are required for your OAuth 2.0 application to use this endpoint. For more information on how to register an OAuth 2.0 application, see [App Registration and Review]({oauth2ReferenceDocLink}).

The following objects describe payloads that are accepted or returned. See each individual endpoint for more information on when these objects are used.

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

This allows viewing information about your assets.

This allows uploading and updating assets to Roblox.

Grants the ability to update badges owned by the user.

This allows viewing information about your commerce items.

This allows editing of your commerce merchant connections.

This allows you to view information about your Creator Store products.

This allows you to modify information about your Creator Store products.

This allows viewing information about your communities.

This allows you to manage community join requests for your account.

This allows viewing information about your inventory.

Grants access to mange your badges and spend robux.

Grants access to manage your developer products.

Grants access to read information about the experiences you follow.

Grants access to follow and unfollow experiences on your behalf.

Grants access to manage your communities.

Grants permission to read community information.

Grants access to read and write your localization tables

Grants access to manage team collaboration for all experiences you own.

Grants access to manage your experiences and certain information associated with your experiences (e.g. localization information).

Grants access to read your experiences' localization information.

Grants access to modify your experiences' localization preferences.

Grants access to manage your user account.

Grants access to modify user localization preferences.

This grants the ability to publish messages on behalf of users.

This allows sending notifications from your experience to users.

This allows listing secrets associated with your experience.

This allows creating and updating secrets associated with your experience.

Grants access to read about your subscription products.

Grants the ability to read place information.

Grants the ability to edit place information.

This operation grants access to publish new versions of experiences to Roblox.

Grants the ability to read experience information.

Grants the ability to edit experience information.

Allows you to view user restrictions in the experience.

Allows you to edit user restrictions in the experience.

Grants the ability to read user's premium and verified status.

This allows you to view a user's social accounts.

This enables Single Sign-On functionality.

This grants access to read your profile information.

Default Value: {defaultValueStart}{defaultValueEnd}

An array is an ordered list of values. Arrays are useful for storing collections of data.

A set of key-value pairs, where the keys can be any number, string, or object.

This function returns immediately if possible, but can yield the thread that called it until it can return a value.

{nameStart}name{nameEnd} is no longer supported or maintained by Roblox.

This math operation is no longer supported or maintained by Roblox.

This member doesn’t appear in the object browser and is not intended for widespread use.

This member is only accessible only through the command bar. Attempting to access this member from scripts causes an error.

This function can’t pause the Lua thread that called it.

Attempting to access this member in scripts causes an error. You might be able to access this member from Roblox Studio's property window.

This member doesn’t appear in Roblox Studio’s Object Browser.

You can’t create an instance of this class with the Instance.new constructor.

Roblox does not replicate this member across its server-client boundary.

Lua code can’t access this member. You might be able to change its value from the property window in Roblox Studio.

This member is accessible from OpenCloud Luau execution tasks.

This object’s replication behavior is dependent on the player who owns it.

This member is accessible through the command bar and plugins. Attempting to access this member from scripts causes an error.

This member is read only. Attempting to write to this member causes an error.

This property is read-only and is safe to read in unsynchronized threads. Attempting to write to it causes an error.

This member is accessible only in CoreScripts.

Only Roblox CoreScripts can access this member, and it isn’t usable by Players.

You can read and write to this property safely from multiple threads.

This class is a top-level singleton. Retrieve an instance of this class with the GetService function.

Multiple threads can potentially write to this property, so it’s unsafe to read from unsynchronized threads.

This function pauses the Lua thread that called it until it returns a result. This doesn’t interrupt other scripts.

Learn how to create successful content on Roblox with comprehensive guides, code samples, reference, and tutorials.


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Story Games

Streaming

Streaming in Immersion

Strings

Studio

Studio Interface

Studio Setup

Studio Shortcuts

Studio Testing Modes

Subscription Design

Subscriptions

Supporting Systems

Surface Art

Tables

Tag Reference

Tag Table

Take Flight

Talent Hub Developer Safety

Task Scheduler

Teaching Remotely

Teams

Technical Overview

Technical Specifications

Teleporting

Template Files

Templates

Terrain

Terrain Editor

Terrain Tools

Test Tab

Test and Play

Test and Save

Testing

Testing Characters

Testing Poses

Test the Game

Test the Speeder

Text Chat

Text Filtering

Text Input

Text Input Fields

Texture Generator

Texture Painting

Texture Painting Setup

Texture Specifications

Textures and Decals

Texturing

Texturing Eyes

Texturing Face

The Mystery of Duvall Drive

The Storm

Third-Party Analytics Services

Third-Party Software

Thumbnails

Thumbnails Resizer

Timed Bridge For Loops

Timers and Events

Tips and Settings

Today's Picks on Home

Today's Picks on Marketplace

Toolbox

Tools

Torque

TorsionSpring

Trades

Trails

Translating Dynamic Content

Translating Experience Page Information

Translating In-Experience Content

Translation Roles

Trimming Clothing Shape

Tuples

Two Step Verification

Type Checking

Type Coercion

Types

Types and Locations

UI Animation

UI Animation/Tweens

UI Drag Detectors

UI Objects

UI and UX

Unit Lessons

Universal

Upload and Publishing

Uploading and Publishing

Uploading your Asset

User Advertisements

User Interface

User Interface Design

User Interfaces

User Inventories

Userdata

Users

Using Animations

Using Heads in Studio

Using Information with Parameters

Using MicroProfiler

Using Particles for Actions

Using Particles for Explosions

Using Studio's 3D Importer

Using Textures

Using the Accessory Fitting Tool

VR Guidelines

Validation Tool

Variables

Variables & Objects

VectorForce

Verifying Attachments

Video Assets

Video Frames

View Tab

Voice Chat

Walkthrough

Weapons Kit

Webhook Notifications

Weld

Wireframe Your Layouts

Working With Translators

Working in Teams

Writing the Story

Xbox Guidelines

bit32

Number Limitations

Summary

Functions

Functions

arshift

Parameters

Returns

band

Parameters

Returns

bnot

Parameters

Returns

bor

Parameters

Returns

btest

Parameters

Returns

bxor

Parameters

Returns

byteswap

Parameters

Returns

countlz

Parameters

Returns

countrz

Parameters

Returns

extract

Parameters

Returns

replace

Parameters

Returns

lrotate

Parameters

Returns

lshift

Parameters

Returns

rrotate

Parameters

Returns

rshift

Parameters

Returns