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Check if a number is divisible by 8 using bitwise operators

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  • Difficulty Level : Medium
  • Last Updated : 31 May, 2022

Given a number n, check if it is divisible by 8 using bitwise operators. 
Examples: 
 

Input : 16
Output :YES

Input :15
Output :NO

 

Approach: Result = (((n >> 3) << 3) == n). First we shift the 3 bit right then we shift the 3 bit left and then compare the number with the given number if the number is equal to the number then it is the divisible by 8 . 
Explanation: 
Example: n = 16 given so binary of the 16 is 10000 now we shift the 3 bit right, now we have 00010 so again we shift the 3 bit left, then we have 10000 now compare with the given number first 16==16 in binary so it true so the number is divisible by 8.
 

CPP




// C++ program to check whether
// the number is divisible by
// 8 or not using bitwise operator
#include <bits/stdc++.h>
using namespace std;
 
// function to check number is
// div by 8 or not using bitwise
// operator
int Div_by_8(int n)
{
    return (((n >> 3) << 3) == n);
}
 
// Driver program
int main()
{
    int n = 16;
    if (Div_by_8(n))
        cout << "YES" << endl;
    else
        cout << "NO" << endl;
    return 0;
}

Java




// Java program to check whether
// the number is divisible by
// 8 or not using bitwise operator
import java.io.*;
import java.util.*;
 
class GFG
{
    // function to check number is
    // div by 8 or not using bitwise
    // operator
    static boolean Div_by_8(int n)
    {
        return (((n >> 3) << 3) == n);
    }
     
    // Driver code
    public static void main (String[] args)
    {
        int n = 16;
        if (Div_by_8(n))
            System.out.println("YES");
        else
            System.out.println("NO");
         
    }
}
 
// This code is contributed by  Gitanjali

Python3




# Python  program to check whether
# the number is divisible by
# 8 or not using bitwise operator
 
import math
 
# function to check number is
# div by 8 or not using bitwise
# operator
 
def Div_by_8(n):
 
    return (((n >> 3) << 3) == n)
 
 
#  driver code
n = 16
if (Div_by_8(n)):
    print("YES")
else:
    print("NO")
 
# This code is contributed by Gitanjali.

C#




// C# program to check whether         
// the number is divisible by         
// 8 or not using bitwise operator         
using System;         
class GFG {         
            
 // function to check number is         
 // div by 8 or not using bitwise         
 // operator         
 static bool Div_by_8(int n)         
 {         
 return (((n >> 3) << 3) == n);         
 }         
            
 // Driver code         
 public static void Main ()          
 {         
 int n = 16;         
            
 if (Div_by_8(n))         
 Console.WriteLine("YES");         
 else         
 Console.WriteLine("NO");         
            
 }         
}    
      
// This code is contributed by vt_m.         

PHP




<?php
// PHP program to check whether
// the number is divisible by
// 8 or not using bitwise operator
 
// function to check number is
// div by 8 or not using bitwise
// operator
function Div_by_8($n)
{
    return ((($n >> 3) << 3) == $n);
}
 
// Driver program
$n = 16;
 
if (Div_by_8($n))
    echo "YES";
else
    echo "NO";
         
//This code is contributed by mits.
?>

Javascript




<script>
// javascript program to check whether
// the number is divisible by
// 8 or not using bitwise operator
 
// function to check number is
// div by 8 or not using bitwise
// operator
function Div_by_8(n)
{
    return (((n >> 3) << 3) == n);
}
 
// Driver code
 
var n = 16;
if (Div_by_8(n))
    document.write("YES");
else
    document.write("NO");
     
// This code is contributed by Princi Singh.
</script>

YES

Time Complexity : O(1)

Space Complexity : O(1)


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