How do you know if a number is a power of 10?

How do you know if a number is a power of 10?

Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

How do you check if a number is the power of 2?

Method-2: Keep dividing by 2 Keep dividing the number by two, i.e, do n = n/2 iteratively until n becomes 1. In any iteration, if n%2 becomes non-zero and n is not 1 then n is not a power of 2. If n becomes 1 then it is a power of 2.

How do you know if a number is a power of 5?

First check if last digit is 5. If last digit is 5; divide it by 5. If result of division is 1, then number is power of 5.

How do you check whether a number is power of 4 or not?

A simple method is to take log of the given number on base 4, and if we get an integer then number is power of 4. 2. Another solution is to keep dividing the number by 4, i.e, do n = n/4 iteratively. In any iteration, if n%4 becomes non-zero and n is not 1 then n is not a power of 4, otherwise n is a power of 4.

How do you check whether a number is power of 3 or not?

Suppose we have a number n. We have to check whether the number is the power of 3 or not. So if the number is like n = 27, that is the power of 3, the result will be true, if n = 15, it will be false.

What happens when a number is a power of 10?

For any power of 10, this will terminate with the value 1; if 1 itself is passed in, it will do so without ever executing the body of the while loop.

How do you check if a number is a power of another number?

Check if a number is a power of another number. Given two positive numbers x and y, check if y is a power of x or not. Examples : A simple solution is to repeatedly compute powers of x. If a power becomes equal to y, then y is a power, else not.

What happens when a number is a power of 10 in Java?

For any power of 10, this will terminate with the value 1; if 1 itself is passed in, it will do so without ever executing the body of the while loop. You could also just list them out as there aren’t that many in range of the long datatype.

How to check if a number is a power of base b?

First, assuming you have a specific logarithm operator (many languages provide logarithms to base 10 or base e only), log a b can be calculated as log x b / log x a (where x is obviously a base that your language provides). Python goes one better since it can work out the logarithm for an arbitrary base without that tricky equality above.