# Rotate bits of a number

Bit Rotation: A rotation (or circular shift) is an operation similar to shift except that the bits that fall off at one end are put back to the other end.

In left rotation, the bits that fall off at left end are put back at right end.

In right rotation, the bits that fall off at right end are put back at left end.

Example:

Let n is stored using 8 bits. Left rotation of n = 11100101 by 3 makes n = 00101111 (Left shifted by 3 and first 3 bits are put back in last ). If n is stored using 16 bits or 32 bits then left rotation of n (000…11100101) becomes 00..00**11100101**000.

Right rotation of n = 11100101 by 3 makes n = 10111100 (Right shifted by 3 and last 3 bits are put back in first ) if n is stored using 8 bits. If n is stored using 16 bits or 32 bits then right rotation of n (000…11100101) by 3 becomes **101**000..00**11100**.

## C++

`// C++ code to rotate bits ` `// of number ` `#include<iostream> ` ` ` `using` `namespace` `std; ` `#define INT_BITS 32 ` `class` `gfg ` `{ ` ` ` `/*Function to left rotate n by d bits*/` `public` `: ` `int` `leftRotate(` `int` `n, unsigned ` `int` `d) ` `{ ` ` ` ` ` `/* In n<<d, last d bits are 0. To ` ` ` `put first 3 bits of n at ` ` ` `last, do bitwise or of n<<d ` ` ` `with n >>(INT_BITS - d) */` ` ` `return` `(n << d)|(n >> (INT_BITS - d)); ` `} ` ` ` `/*Function to right rotate n by d bits*/` `int` `rightRotate(` `int` `n, unsigned ` `int` `d) ` `{ ` ` ` `/* In n>>d, first d bits are 0. ` ` ` `To put last 3 bits of at ` ` ` `first, do bitwise or of n>>d ` ` ` `with n <<(INT_BITS - d) */` ` ` `return` `(n >> d)|(n << (INT_BITS - d)); ` `} ` `}; ` ` ` `/* Driver code*/` `int` `main() ` `{ ` ` ` `gfg g; ` ` ` `int` `n = 16; ` ` ` `int` `d = 2; ` ` ` `cout << ` `"Left Rotation of "` `<< n << ` ` ` `" by "` `<< d << ` `" is "` `; ` ` ` `cout << g.leftRotate(n, d); ` ` ` `cout << ` `"\nRight Rotation of "` `<< n << ` ` ` `" by "` `<< d << ` `" is "` `; ` ` ` `cout << g.rightRotate(n, d); ` ` ` `getchar` `(); ` `} ` ` ` `// This code is contributed by SoM15242 ` |

*chevron_right*

*filter_none*

## C

`#include<stdio.h> ` `#define INT_BITS 32 ` ` ` `/*Function to left rotate n by d bits*/` `int` `leftRotate(` `int` `n, unsigned ` `int` `d) ` `{ ` ` ` `/* In n<<d, last d bits are 0. To put first 3 bits of n at ` ` ` `last, do bitwise or of n<<d with n >>(INT_BITS - d) */` ` ` `return` `(n << d)|(n >> (INT_BITS - d)); ` `} ` ` ` `/*Function to right rotate n by d bits*/` `int` `rightRotate(` `int` `n, unsigned ` `int` `d) ` `{ ` ` ` `/* In n>>d, first d bits are 0. To put last 3 bits of at ` ` ` `first, do bitwise or of n>>d with n <<(INT_BITS - d) */` ` ` `return` `(n >> d)|(n << (INT_BITS - d)); ` `} ` ` ` `/* Driver program to test above functions */` `int` `main() ` `{ ` ` ` `int` `n = 16; ` ` ` `int` `d = 2; ` ` ` `printf` `(` `"Left Rotation of %d by %d is "` `, n, d); ` ` ` `printf` `(` `"%d"` `, leftRotate(n, d)); ` ` ` `printf` `(` `"\nRight Rotation of %d by %d is "` `, n, d); ` ` ` `printf` `(` `"%d"` `, rightRotate(n, d)); ` ` ` `getchar` `(); ` `} ` |

*chevron_right*

*filter_none*

## Java

`// Java code to rotate bits ` `// of number ` `class` `GFG ` `{ ` `static` `final` `int` `INT_BITS = ` `32` `; ` ` ` `/*Function to left rotate n by d bits*/` `static` `int` `leftRotate(` `int` `n, ` `int` `d) { ` ` ` ` ` `/* In n<<d, last d bits are 0. ` ` ` `To put first 3 bits of n at ` ` ` `last, do bitwise or of n<<d with ` ` ` `n >>(INT_BITS - d) */` ` ` `return` `(n << d) | (n >> (INT_BITS - d)); ` `} ` ` ` `/*Function to right rotate n by d bits*/` `static` `int` `rightRotate(` `int` `n, ` `int` `d) { ` ` ` ` ` `/* In n>>d, first d bits are 0. ` ` ` `To put last 3 bits of at ` ` ` `first, do bitwise or of n>>d ` ` ` `with n <<(INT_BITS - d) */` ` ` `return` `(n >> d) | (n << (INT_BITS - d)); ` `} ` ` ` `// Driver code ` `public` `static` `void` `main(String arg[]) ` `{ ` ` ` `int` `n = ` `16` `; ` ` ` `int` `d = ` `2` `; ` ` ` `System.out.print(` `"Left Rotation of "` `+ n + ` ` ` `" by "` `+ d + ` `" is "` `); ` ` ` `System.out.print(leftRotate(n, d)); ` ` ` ` ` `System.out.print(` `"\nRight Rotation of "` `+ n + ` ` ` `" by "` `+ d + ` `" is "` `); ` ` ` `System.out.print(rightRotate(n, d)); ` `} ` `} ` ` ` `// This code is contributed by Anant Agarwal. ` |

*chevron_right*

*filter_none*

## Python3

`# Python3 code to ` `# rotate bits of number ` ` ` `INT_BITS ` `=` `32` ` ` `# Function to left ` `# rotate n by d bits ` `def` `leftRotate(n, d): ` ` ` ` ` `# In n<<d, last d bits are 0. ` ` ` `# To put first 3 bits of n at ` ` ` `# last, do bitwise or of n<<d ` ` ` `# with n >>(INT_BITS - d) ` ` ` `return` `(n << d)|(n >> (INT_BITS ` `-` `d)) ` ` ` `# Function to right ` `# rotate n by d bits ` `def` `rightRotate(n, d): ` ` ` ` ` `# In n>>d, first d bits are 0. ` ` ` `# To put last 3 bits of at ` ` ` `# first, do bitwise or of n>>d ` ` ` `# with n <<(INT_BITS - d) ` ` ` `return` `(n >> d)|(n << (INT_BITS ` `-` `d)) & ` `0xFFFFFFFF` ` ` `# Driver program to ` `# test above functions ` `n ` `=` `16` `d ` `=` `2` ` ` `print` `(` `"Left Rotation of"` `,n,` `"by"` ` ` `,d,` `"is"` `,end` `=` `" "` `) ` `print` `(leftRotate(n, d)) ` ` ` `print` `(` `"Right Rotation of"` `,n,` `"by"` ` ` `,d,` `"is"` `,end` `=` `" "` `) ` `print` `(rightRotate(n, d)) ` ` ` `# This code is contributed by ` `# Smitha Dinesh Semwal ` |

*chevron_right*

*filter_none*

## C#

`// C# program to rotate ` `// bits of a number ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `static` `int` `INT_BITS = 32; ` ` ` ` ` `/* Function to left rotate n by d bits*/` ` ` `static` `int` `leftRotate(` `int` `n, ` `int` `d) { ` ` ` ` ` `/* In n<<d, last d bits are 0. ` ` ` `To put first 3 bits of n at ` ` ` `last, do bitwise or of n<<d with ` ` ` `n >>(INT_BITS - d) */` ` ` `return` `(n << d) | (n >> (INT_BITS - d)); ` ` ` `} ` ` ` ` ` `/*Function to right rotate n by d bits*/` ` ` `static` `int` `rightRotate(` `int` `n, ` `int` `d) { ` ` ` ` ` `/* In n>>d, first d bits are 0. ` ` ` `To put last 3 bits of at ` ` ` `first, do bitwise or of n>>d ` ` ` `with n <<(INT_BITS - d) */` ` ` `return` `(n >> d) | (n << (INT_BITS - d)); ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `Main() ` ` ` `{ ` ` ` `int` `n = 16; ` ` ` `int` `d = 2; ` ` ` ` ` `Console.Write(` `"Left Rotation of "` `+ n ` ` ` `+ ` `" by "` `+ d + ` `" is "` `); ` ` ` `Console.Write(leftRotate(n, d)); ` ` ` ` ` `Console.Write(` `"\nRight Rotation of "` `+ n ` ` ` `+ ` `" by "` `+ d + ` `" is "` `); ` ` ` `Console.Write(rightRotate(n, d)); ` ` ` `} ` `} ` ` ` `// This code is contributed by Sam007 ` |

*chevron_right*

*filter_none*

**Output :**

Left Rotation of 16 by 2 is 64 Right Rotation of 16 by 2 is 4

Please write comments if you find any bug in the above program or other ways to solve the same problem.

## Recommended Posts:

- Check if bits of a number has count of consecutive set bits in increasing order
- Toggle bits of a number except first and last bits
- Maximize a given unsigned number number by swapping bits at it's extreme positions.
- Check if a number has same number of set and unset bits
- Set all even bits of a number
- Same Number Of Set Bits As N
- Set all odd bits of a number
- Check whether the number has only first and last bits set
- Set all the bits in given range of a number
- Toggle first and last bits of a number
- Toggle all even bits of a number
- Toggle all odd bits of a number
- Largest number less than X having at most K set bits
- Number with set bits only between L-th and R-th index
- Check if all bits of a number are set