JavaScript: Power of four

Last update on December 30 2022 12:45:37 (UTC/GMT +8 hours)

JavaScript Math: Exercise-108 with Solution

Write a JavaScript program to check whether a given integer is a Power of four not.

In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n⁴ = n × n × n × n
Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.
The sequence of fourth powers of integers (also known as biquadrates or tesseractic numbers) is:
0, 1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000, 14641, 20736, 28561, 38416, 50625, 65536, 83521, 104976, 130321, 160000, 194481, 234256, 279841, 331776, 390625, 456976, 531441, 614656, 707281, 810000, ...

Test Data:
(16) -> true
(4096) -> true
(36) -> false

Sample Solution:

HTML Code:

<!DOCTYPE html>
<html>
<head>
  <meta charset="utf-8">
  <title>JavaScript program to Power of four or not</title>
</head>
<body>

</body>
</html>

Solution-1

JavaScript Code:

function test(n) {
 if (n < 1) {
    return false;
  }

  while (n % 4 === 0) {
    n = n / 4;
  }
  return n === 1;
}
n = 16
console.log("Number n = " +n)
console.log("Check the said number is power of four or not? "+test(n));
n = 4096
console.log("Number n = " +n)
console.log("Check the said number is power of four or not? "+test(n));
n = 36
console.log("Number n = " +n)
console.log("Check the said number is power of four or not? "+test(n));

Sample Output:

Number n = 16
Check the said number is power of four or not? true
Number n = 4096
Check the said number is power of four or not? true
Number n = 36
Check the said number is power of four or not? false

Flowchart:

$JavaScript: Power of three.$

Live Demo:

See the Pen javascript-math-exercise-108 by w3resource (@w3resource) on CodePen.

Solution-2

JavaScript Code:

function test(n) {
	if(n === 1 || n === 4) return true
	if(n < 4) return false

	return test(n/4)
}

n = 16
console.log("Number n = " +n)
console.log("Check the said number is power of four or not? "+test(n));
n = 4096
console.log("Number n = " +n)
console.log("Check the said number is power of four or not? "+test(n));
n = 36
console.log("Number n = " +n)
console.log("Check the said number is power of four or not? "+test(n));

Sample Output:

Number n = 16
Check the said number is power of four or not? true
Number n = 4096
Check the said number is power of four or not? true
Number n = 36
Check the said number is power of four or not? false

Flowchart: