All about Bit Manipulation

• Difficulty Level : Easy
• Last Updated : 12 Aug, 2022

Bit Manipulation is a technique used in a variety of problems to get the solution in an optimized way. This technique is very effective from a Competitive Programming point of view. It is all about Bitwise Operators which directly works upon binary numbers or bits of numbers that help the implementation fast. Below are the Bitwise Operators that are used:

• Bitwise AND (&)
• Bitwise OR (|)
• Bitwise XOR (^)
• Bitwise NOT (!)

Learn more about Bitwise Operators in this article. Below are some common bit operations that are frequently used in programming:

Bitwise Operations:

Below is the table to illustrate the result when the operation is performed using Bitwise Operators. Here 0s or 1s mean a sequence of 0 or 1 respectively.

Get Bit:

This method is used to find the bit at a particular position(say i) of the given number N. The idea is to find the Bitwise AND of the given number and 2i that can be represented as (1 << i). If the value return is 1 then the bit at the ith position is set. Otherwise, it is unset.

Below is the pseudo-code for the same:

C++

 `// Function to get the bit at the` `// ith position` `bool` `getBit(``int` `num, ``int` `i)` `{` `    ``// Return true if the bit is` `    ``// set. Otherwise return false` `    ``return` `((num & (1 << i)) != 0);` `}`

Java

 `// Function to get the bit at the` `// ith position` `static` `boolean` `getBit(``int` `num, ``int` `i)` `{` `    ``// Return true if the bit is` `    ``// set. Otherwise return false` `    ``return` `((num & (``1` `<< i)) != ``0``);` `}`   `// This code is contributed by rishavmahato348.`

Python3

 `# Function to get the bit at the` `# ith position` `def` `getBit(num, i):` `  `  `    ``# Return true if the bit is` `    ``# set. Otherwise return false` `    ``return` `((num & (``1` `<< i)) !``=` `0``)` `    `  `# This code is contributed by shivani`

C#

 `// Function to get the bit at the` `// ith position` `static` `bool` `getBit(``int` `num, ``int` `i)` `{` `    ``// Return true if the bit is` `    ``// set. Otherwise return false` `    ``return` `((num & (1 << i)) != 0);` `}`   `// This code is contributed by subhammahato348.`

Javascript

 ``

Set Bit:

This method is used to set the bit at a particular position(say i) of the given number N. The idea is to update the value of the given number N to the Bitwise OR of the given number N and 2i that can be represented as (1 << i). If the value return is 1 then the bit at the ith position is set. Otherwise, it is unset.

Below is the pseudo-code for the same:

C++

 `// Function to set the ith bit of the` `// given number num` `int` `setBit(``int` `num, ``int` `i)` `{` `    ``// Sets the ith bit and return` `    ``// the updated value` `    ``return` `num | (1 << i);` `}`

Java

 `// Function to set the ith bit of the` `// given number num` `static` `int` `setBit(``int` `num, ``int` `i)` `{` `    ``// Sets the ith bit and return` `    ``// the updated value` `    ``return` `num | (``1` `<< i);` `}`   `// This code is contributed by subhammahato348`

Python3

 `# Function to set the ith bit of the` `# given number num` `def` `setBit(num, i):` `    `  `    ``# Sets the ith bit and return` `    ``# the updated value` `    ``return` `num | (``1` `<< i)`   `# This code is contributed by kirti`

C#

 `// Function to set the ith bit of the` `// given number num` `static` `int` `setBit(``int` `num, ``int` `i)` `{` `    ``// Sets the ith bit and return` `    ``// the updated value` `    ``return` `num | (1 << i);` `}`

Javascript

 `// Function to set the ith bit of the` `// given number num` `function` `setBit(num, i)` `{` `    ``// Sets the ith bit and return` `    ``// the updated value` `    ``return` `num | (1 << i);` `}`

Clear Bit:

This method is used to clear the bit at a particular position(say i) of the given number N. The idea is to update the value of the given number N to the Bitwise AND of the given number N and the compliment of 2i that can be represented as ~(1 << i). If the value return is 1 then the bit at the ith position is set. Otherwise, it is unset.

Below is the pseudo-code for the same:

C++

 `// Function to clear the ith bit of` `// the given number N` `int` `clearBit(``int` `num, ``int` `i)` `{`   `    ``// Create the mask for the ith` `    ``// bit unset` `    ``int` `mask = ~(1 << i);`   `    ``// Return the update value` `    ``return` `num & mask;` `}`

Java

 `// Function to clear the ith bit of` `// the given number N` `static` `int` `clearBit(``int` `num, ``int` `i)` `{`   `    ``// Create the mask for the ith` `    ``// bit unset` `    ``int` `mask = ~(``1` `<< i);`   `    ``// Return the update value` `    ``return` `num & mask;` `}`   `// This code is contributed by subham348`

Python3

 `# Function to clear the ith bit of` `# the given number N`   `def` `clearBit(num, i):`   `    ``# Create the mask for the ith` `    ``# bit unset` `    ``mask ``=` `~(``1` `<< i)`   `    ``# Return the update value` `    ``return` `num & mask`   `# This code is contributed by subhammahato348`

C#

 `// Function to clear the ith bit of` `// the given number N` `static` `int` `clearBit(``int` `num, ``int` `i)` `{`   `    ``// Create the mask for the ith` `    ``// bit unset` `    ``int` `mask = ~(1 << i);`   `    ``// Return the update value` `    ``return` `num & mask;` `}`   `// This code is contributed by Ankita Saini`

Javascript

 `// Function to clear the ith bit of` `// the given number N` `function` `clearBit(num, i)` `{`   `    ``// Create the mask for the ith` `    ``// bit unset` `    ``let mask = ~(1 << i);`   `    ``// Return the update value` `    ``return` `num & mask;` `}`   `// This code is contributed by souravmahato348.`

Below is the program that implements the above functionalities:

C++

 `// C++ program to implement all the` `// above functionalities`   `#include ` `using` `namespace` `std;`   `// Function to get the bit at the` `// ith position` `bool` `getBit(``int` `num, ``int` `i)` `{` `    ``// Return true if the ith bit is` `    ``// set. Otherwise return false` `    ``return` `((num & (1 << i)) != 0);` `}`   `// Function to set the ith bit of the` `// given number num` `int` `setBit(``int` `num, ``int` `i)` `{` `    ``// Sets the ith bit and return` `    ``// the updated value` `    ``return` `num | (1 << i);` `}`   `// Function to clear the ith bit of` `// the given number N` `int` `clearBit(``int` `num, ``int` `i)` `{`   `    ``// Create the mask for the ith` `    ``// bit unset` `    ``int` `mask = ~(1 << i);`   `    ``// Return the update value` `    ``return` `num & mask;` `}`   `// Driver Code` `int` `main()` `{` `    ``// Given number N` `    ``int` `N = 70;`   `    ``cout << ``"The bit at the 3rd position from LSB is: "` `         ``<< (getBit(N, 3) ? ``'1'` `: ``'0'``)` `         ``<< endl;`   `    ``cout << ``"The value of the given number "` `         ``<< ``"after setting the bit at "` `         ``<< ``"LSB is: "` `         ``<< setBit(N, 0) << endl;`   `    ``cout << ``"The value of the given number "` `         ``<< ``"after clearing the bit at "` `         ``<< ``"LSB is: "` `         ``<< clearBit(N, 0) << endl;`   `    ``return` `0;` `}`

Java

 `// Java program to implement all the` `// above functionalities` `import` `java.io.*;`   `class` `GFG{`   `// Function to get the bit at the` `// ith position` `static` `boolean` `getBit(``int` `num, ``int` `i)` `{` `    `  `    ``// Return true if the ith bit is` `    ``// set. Otherwise return false` `    ``return` `((num & (``1` `<< i)) != ``0``);` `}`   `// Function to set the ith bit of the` `// given number num` `static` `int` `setBit(``int` `num, ``int` `i)` `{` `    `  `    ``// Sets the ith bit and return` `    ``// the updated value` `    ``return` `num | (``1` `<< i);` `}`   `// Function to clear the ith bit of` `// the given number N` `static` `int` `clearBit(``int` `num, ``int` `i)` `{` `    `  `    ``// Create the mask for the ith` `    ``// bit unset` `    ``int` `mask = ~(``1` `<< i);`   `    ``// Return the update value` `    ``return` `num & mask;` `}`   `// Driver Code` `public` `static` `void` `main(String[] args)` `{` `    `  `    ``// Given number N` `    ``int` `N = ``70``;`   `    ``System.out.println(``"The bit at the 3rd position from LSB is: "` `+ ` `                       ``(getBit(N, ``3``) ? ``'1'` `: ``'0'``));`   `    ``System.out.println(``"The value of the given number "` `+ ` `                       ``"after setting the bit at "` `+ ` `                       ``"LSB is: "` `+ setBit(N, ``0``));`   `    ``System.out.println(``"The value of the given number "` `+ ` `                       ``"after clearing the bit at "` `+ ` `                       ``"LSB is: "` `+ clearBit(N, ``0``));` `}` `}`   `// This code is contributed by souravmahato348`

Python

 `# Python program to implement all the` `# above functionalities` `# Function to get the bit at the` `# ith position` `def` `getBit( num,  i):`   `    ``# Return true if the ith bit is` `    ``# set. Otherwise return false` `    ``return` `((num & (``1` `<< i)) !``=` `0``)`   `# Function to set the ith bit of the` `# given number num` `def` `setBit( num,  i):`   `    ``# Sets the ith bit and return` `    ``# the updated value` `    ``return` `num | (``1` `<< i)`   `# Function to clear the ith bit of` `# the given number N` `def` `clearBit( num,  i):` `    `  `    ``# Create the mask for the ith` `    ``# bit unset` `    ``mask ``=` `~(``1` `<< i)` `    `  `    ``# Return the update value` `    ``return` `num & mask`   `# Driver Code` `# Given number N` `N ``=` `70` `print``"The bit at the 3rd position from LSB is: "` `, ``1` `if` `(getBit(N, ``3``)) ``else` `'0'`   `print``"The value of the given number"` `, ``"after setting the bit at"``,``"LSB is: "` `, setBit(N, ``0``)`   `print``"The value of the given number"` `, ``"after clearing the bit at"``,``"LSB is: "` `, clearBit(N, ``0``)`   `# This code is contributed by shivanisinghss2110`

C#

 `// C# program to implement all the` `// above functionalities` `using` `System;`   `class` `GFG {`   `    ``// Function to get the bit at the` `    ``// ith position` `    ``static` `bool` `getBit(``int` `num, ``int` `i)` `    ``{`   `        ``// Return true if the ith bit is` `        ``// set. Otherwise return false` `        ``return` `((num & (1 << i)) != 0);` `    ``}`   `    ``// Function to set the ith bit of the` `    ``// given number num` `    ``static` `int` `setBit(``int` `num, ``int` `i)` `    ``{`   `        ``// Sets the ith bit and return` `        ``// the updated value` `        ``return` `num | (1 << i);` `    ``}`   `    ``// Function to clear the ith bit of` `    ``// the given number N` `    ``static` `int` `clearBit(``int` `num, ``int` `i)` `    ``{`   `        ``// Create the mask for the ith` `        ``// bit unset` `        ``int` `mask = ~(1 << i);`   `        ``// Return the update value` `        ``return` `num & mask;` `    ``}`   `    ``// Driver Code` `    ``public` `static` `void` `Main()` `    ``{`   `        ``// Given number N` `        ``int` `N = 70;`   `        ``Console.WriteLine(``"The bit at the 3rd position form LSB is: "` `                          ``+ (getBit(N, 3) ? ``'1'` `: ``'0'``));`   `        ``Console.WriteLine(``"The value of the given number "` `                          ``+ ``"after setting the bit at "` `                          ``+ ``"LSB is: "` `+ setBit(N, 0));`   `        ``Console.WriteLine(``"The value of the given number "` `                          ``+ ``"after clearing the bit at "` `                          ``+ ``"LSB is: "` `+ clearBit(N, 0));` `    ``}` `}`   `// This code is contributed by rishavmahato348.`

Javascript

 ``

Output:

```The bit at the 3rd position is: 0
The value of the given number  after setting the bit at  MSB is: 71
The value of the given number  after clearing the bit at  MSB is: 70```

My Personal Notes arrow_drop_up
Recommended Articles
Page :