## Q. Java program to find whether a number is power of two or not.

Here you will find an algorithm and program in Java programming language to find whether the given number is power of 2 or not. Now first let us understand what power of two means.

**Explanation : **In mathematics, a power of two is a number of the form 2^n where n is an integer. Here we use a mathematical concept of Logarithm, The most simple method for finding whether a number is power of two or not is to simply take the log of the number on base 2 and if you get an integer then the number is the power of 2.

**For Example : ** 256, when we take log of 256 to the base 2 we get 8 which is integer, hence 256 is power of 2.

## Algorithm to find whether a number is power of two or not

START Step 1 → Take integer variable num Step 2 → find out the log number with base 2 Step 3 → if outcome is integer then DISPLAY number is power of 2. Step 4 → Otherwise, DISPLAY number is not power of 2. STOP

# Java Program to Find Whether a Given Number is Power of 2

class LFC { static boolean find_power_of_two(int num) { if(num==0) return false; return (int)(Math.ceil((Math.log(num) / Math.log(2)))) == (int)(Math.floor(((Math.log(num) / Math.log(2))))); } public static void main(String[] args) { int num=256; if(find_power_of_two(num)) System.out.printf("%d is the power of two\n",num); else System.out.printf("%d is not the power of two\n",num); } }

#### Output

256 is the power of two.