# Find whether a given number is a power of 4 or not in C++

C++Server Side ProgrammingProgramming

In this problem, we are given an integer N. Our task is to find whether a given integer is a power of 4 or not.

Let's take an example to understand the problem,

Input : N = 64
Output : Yes

Explanation

43 = 64


## Solution Approach

A simple solution to the problem is by recursively dividing the number by 4 and checking whether the resultant number is divided by 4 or not. If the value after recursive division becomes 1, return true.

## Example

Program to illustrate the working of our solution

#include <iostream>
using namespace std;
bool isPowerOf4(int n){
if(n == 0)
return 0;
while(n != 1)
{
if(n % 4 != 0)
return 0;
n = n / 4;
}
return 1;
}
int main(){
int n = 123454;
if (isPowerOf4(n))
cout<<"The number is a power of 4";
else
cout<<"The number is not a power of 4";
return 0;
}

## Output

The number is not a power of 4

Updated on 01-Feb-2022 08:09:16