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Toggling k-th bit of a number

Last Updated : 13 Sep, 2024

For a given number n, if k-th bit is 0, then toggle it to 1 and if it is 1 then, toggle it to 0.


Examples :

Input : n = 6, k = 1
Output : 7
6 is represented as 110 in binary and has its first bit 0, so toggling it will result in 111 i.e. 7.

Input : n = 2, k = 3
Output : 6
2 is represented as 010 in binary and has its 3rd bit 0, so toggling it will result in 110 i.e. 6.

Input : n = 75, k = 4
Output : 67
75 is represented as 1001011 in binary and has its 4th bit 1, so toggling it will result in 1000011 i.e. 67.

 Below are simple steps to find the value of k-th bit  

1) Left shift given number 1 by k-1 to create a number that has only set bit as k-th bit. mask = 1 << (k-1) 2) Return bitwise XOR of temp and n. Since mask has only k-th bit set, doing XOR would toggle only this bit.

Example : 

n = 75 and k = 4 temp = 1 << (k-1) = 1 << 3 = 8 Binary Representation of temp = 0..00001000 Binary Representation of n = 0..01001011 Bitwise XOR of two numbers = 0..01000011

Output :

4

Time Complexity : O(1)
Space Complexity : O(1)

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