number to power of two converter

world's simplest number tool

Quickly convert a number to the power of two in your browser. To express your number in the form 2^x, just enter it in the input field, adjust the power precision in the options below, and this utility will convert this value to the power of two with the accuracy you need. Created by developers from team Browserling.

Tool Options

Precision Options

Enter the number of digits you
want in the decimal part.

Base Options

Write prefix "2^" before
the power.

What is a number to power of two converter?

This is an online browser-based utility for converting numbers to the power of two. The power of two is written as 2^x and this utility finds "x". It's very useful when you need to figure out how many bits are needed to represent the given number. For example, if your number is from 0 to 7, then all possible ways that it can be represented in binary are 000, 001, 010, 011, 100, 101, 110, 111. As you can see, only 3 bits are needed to represent all 8 numbers. So, if your input is 8, you will get 3 as output. If the given number is not an even power of two, then the result will have a fraction in the power. You can adjust the precision it in the options above. You can also convert several numbers at once if you list them one below other, and you can exclude the base number from the result if you're only interested in the power value. That's numberwang!

Number to power of two converter examples

Click to try!

Number of Bits in an Eight Character Password

Imagine you have an 8 character password consisting of lowercase and uppercase letters, and numbers. Let's find out how many bits does it take to represent it in computer memory. It turns out there are (26+26+10)^8 possibilities, which is approximately 2^47.63357048, which means it takes 48 bits to store your password.

218340105584896
2^47.63357048
Required options
These options will be used automatically if you select this example.
Enter the number of digits you
want in the decimal part.
Write prefix "2^" before
the power.

Six Numbers to Powers of Two

In this example, we convert six numbers to powers of two at once. The first three numbers are round values of power of two (1024 = 2^10, 2048 = 2^11, 4096 = 2^12). However, the next three numbers have a decimal fraction as the power. We exclude the base prefix "2^" and use four digits for accuracy.

1024 2048 4096 9000 20000 50000
10 11 12 13.1357 14.2877 15.6096
Required options
These options will be used automatically if you select this example.
Enter the number of digits you
want in the decimal part.
Write prefix "2^" before
the power.

The Smallest Whole Number in the Form 2^n

In this example, we convert the number 1 to the power of two. This is the smallest whole value that can be represented in the form 2^n with n = 0.

1
2^0
Required options
These options will be used automatically if you select this example.
Enter the number of digits you
want in the decimal part.
Write prefix "2^" before
the power.

Pro tipsMaster online number tools

You can pass input to this tool via ?input query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!

https://onlinetools.com/number/convert-number-to-power-of-two?input=218340105584896&include-base=true&precision=8

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