Toggling k-th bit of a number
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
// CPP program to toggle k-th bit of n
#include<iostream>
using namespace std;
int toggleKthBit(int n, int k)
{
return (n ^ (1 << (k-1)));
}
// Driver code
int main()
{
int n = 5, k = 1;
cout << toggleKthBit(n , k);
return 0;
}
// Java program to toggle
// k-th bit of a number
class Toggle
{
static int toggleKthBit(int n, int k)
{
return (n ^ (1 << (k-1)));
}
// main function
public static void main (String[] args)
{
int n = 5, k = 1;
System.out.println(toggleKthBit(n , k));
}
}
# Python3 code to toggle k-th bit of n
def toggleKthBit(n, k):
return (n ^ (1 << (k-1)))
# Driver code
n = 5
k = 1
print( toggleKthBit(n , k))
# This code is contributed by "Sharad_Bhardwaj".
// C# program to toggle
// k-th bit of a number
using System;
class GFG {
static int toggleKthBit(int n, int k)
{
return (n ^ (1 << (k-1)));
}
// main function
public static void Main()
{
int n = 5, k = 1;
Console.WriteLine(toggleKthBit(n , k));
}
}
//This code is contributed by Anant Agarwal.
<script>
// Javascript program to toggle
// k-th bit of a number
function toggleKthBit(n, k)
{
return (n ^ (1 << (k-1)));
}
let n = 5, k = 1;
document.write(toggleKthBit(n , k));
</script>
<?php
// Php program to toggle k-th bit of n
function toggleKthBit($n, $k)
{
return ($n ^ (1 << ($k - 1)));
}
// Driver code
$n = 5;
$k = 1;
echo toggleKthBit($n, $k);
// This code is contributed by Ajit
?>
Output :
4
Time Complexity : O(1)
Space Complexity : O(1)