Given a non-negative number n. The problem is to toggle the last m bits in the binary representation of n. A toggle operation flips a bit from 0 to 1 and a bit from 1 to 0.
Constraint: 1 <= m <= n.
Examples:
Input : n = 21, m = 2 Output : 22 (21)10 = (10101)2 (22)10 = (10110)2 The last two bits in the binary representation of 21 are toggled. Input : n = 107, m = 4 Output : 100
Approach: Following are the steps:
- Calculate num = (1 << m) - 1. This will produce a number num having m bits and all will be set.
- Now, perform n = n ^ num. This will toggle the last m bits in n.
// C++ implementation to
// toggle the last m bits
#include <bits/stdc++.h>
using namespace std;
// function to toggle
// the last m bits
unsigned int toggleLastMBits
(unsigned int n, unsigned int m)
{
// calculating a number
// 'num' having 'm' bits
// and all are set.
unsigned int num = (1 << m) - 1;
// toggle the last m bits
// and return the number
return (n ^ num);
}
// Driver code
int main()
{
unsigned int n = 107;
unsigned int m = 4;
cout << toggleLastMBits(n, m);
return 0;
}
// Java implementation to
// toggle the last m bits
import java.util.*;
import java.lang.*;
public class GfG{
// function to toggle
// the last m bits
public static int toggleLastMBits
(int n, int m)
{
// calculating a number
// 'num' having 'm' bits
// and all are set
int num = (1 << m) - 1;
// toggle the last m bits
// and return the number
return (n ^ num);
}
// Driver function
public static void main(String argc[]){
int n = 107;
int m = 4;
n = toggleLastMBits(n, m);
System.out.println(n);
}
}
// This code is contributed by Sagar Shukla.
# Python implementation to
# toggle the last m bits
# function to toggle
# the last m bits
def toggleLastMBits(n,m):
# calculating a number
# 'num' having 'm' bits
# and all are set.
num = (1 << m) - 1
# toggle the last m bits
# and return the number
return (n ^ num)
# Driver code
n = 107
m = 4
print(toggleLastMBits(n, m))
# This code is contributed
# by Anant Agarwal.
// C# implementation to
// toggle the last m bits
using System;
namespace Toggle
{
public class GFG
{
// Function to toggle the last m bits
public static int toggleLastMBits(int n, int m)
{
// Calculating a number 'num' having
// 'm' bits and all are set
int num = (1 << m) - 1;
// Toggle the last m bits
// and return the number
return (n ^ num);
}
// Driver Code
public static void Main() {
int n = 107, m = 4;
n = toggleLastMBits(n, m);
Console.Write(n);
}
}
}
// This code is contributed by Sam007.
<?php
// PHP implementation to
// toggle the last m bits
// function to toggle
// the last m bits
function toggleLastMBits($n, $m)
{
// calculating a number
// 'num' having 'm' bits
// and all are set.
$num = (1 << $m) - 1;
// toggle the last m bits
// and return the number
return ($n ^ $num);
}
// Driver code
{
$n = 107;
$m = 4;
echo toggleLastMBits($n, $m);
return 0;
}
// This code is contributed by nitin mittal.
?>
<script>
// Javascript implementation to
// toggle the last m bits
// function to toggle
// the last m bits
function toggleLastMBits(n, m)
{
// calculating a number
// 'num' having 'm' bits
// and all are set.
var num = (1 << m) - 1;
// toggle the last m bits
// and return the number
return (n ^ num);
}
// Driver code
var n = 107;
var m = 4;
document.write( toggleLastMBits(n, m));
</script>
Output:
100
Time Complexity : O(1)
Auxiliary Space: O(1)