# Powers of two generator

## World's simplest number tool

Quickly generate a sequence of powers of two in your browser. To get your series, just specify the starting value and how many series members you need in the options below, and this utility will generate that many powers of two. Created by developers from team Browserling.

announcement
heads up!

We just launched a new site – Online String Tools – a collection of string processing utilities. Check it out!

A link to this tool, including input, options and all chained tools.

Can't convert.

Powers of two generator tool
What is a powers of two generator?

This is an online browser-based utility for generating a list of numbers that are powers of two. A number is a power of two if it is calculated by raising the number 2 to an integer power. When the power is positive, all powers of two are also positive integers. The first three values of powers of two list are 2¹ = 2, 2² = 4, 2³ = 8. When the power is negative, the result is positive but no longer an integer, it's now a decimal fraction. It's greater than zero but less than one. The first three values when the power is negative are 2⁻¹ = 0.5, 2⁻² = 0.25, 2⁻³ = 0.125. With this tool, you can calculate a sequence with both positive and negative power values. You can specify the starting power of two value, the number of sequence elements, and which symbol to separate terms with. Often in programming and computer science, you need values one-less than the exact power of two, so we also added an option to generate series members in the form 2^n-1. As a bonus, you can also convert the series to any radix (base). That's absolutely numberwang!

Powers of two generator examples
Click to use

First Thirty Powers of Two

In this example, we generate the first thirty powers of two with positive powers. We start with x=1 and calculate 2^x = 2¹ = 2. Then we increase x to 2 and calculate the next value, which is 2² = 4. We keep increasing x by one until it's 30 and the series we get is (2¹, 2², 2³, 2⁴, ...).

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824

**Required options**

Start generating powers of
two from this value.

Generate this many powers
of two.

Separate powers of two by this
symbol. (By default newline.)

Generate powers of two in
the positive direction.
For example: 2⁰, 2¹, 2², ...

For positive powers of two,
subtract one but for negative
add one. (Try in binary mode
to see the effect!)

Descending Order

In this example, we generate a list of powers of two in descending order. The first value in the list is 2⁰. Then we decrease the power by one and all the following powers are negative (2⁻¹, 2⁻², 2⁻³, ...). When raising a positive integer to a negative power we get a decimal fraction. Let's look at the first negative power of two; for this power 2⁻¹ = 1/2¹ = 1/2 = 0.5. Similarly for the second negative power of two, we get 2⁻² = 1/2² = 1/4 = 0.25. For the third – 2⁻³ = 1/2³ = 1/8 = 0.125. As you can see, the list of negative powers decreases but it never reaches zero.

1
0.5
0.25
0.125
0.0625
0.03125
0.015625
0.0078125
0.00390625
0.001953125

**Required options**

Start generating powers of
two from this value.

Generate this many powers
of two.

Separate powers of two by this
symbol. (By default newline.)

Generate powers of two in
the negative direction.
For example: 2⁰, 2⁻¹, 2⁻², ...

For positive powers of two,
subtract one but for negative
add one. (Try in binary mode
to see the effect!)

2^x-1 in Binary Base

In this example, we generate a sequence of powers of two minus one, or in mathematical notation 2^x-1. We also change the base of the output sequence to binary to show you its nature. By converting the results to the binary base, we get a very interesting result! All the elements in the sequence have binary bits set to "1".

0.1111111
0.111111
0.11111
0.1111
0.111
0.11
0.1
0
1
11
111
1111
11111
111111
1111111

**Required options**

Start generating powers of
two from this value.

Generate this many powers
of two.

Separate powers of two by this
symbol. (By default newline.)

Generate powers of two in
the positive direction.
For example: 2⁰, 2¹, 2², ...

For positive powers of two,
subtract one but for negative
add one. (Try in binary mode
to see the effect!)

Pro tips
Master online number tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinenumbertools.com/generate-powers-of-two?&start=2&count=30&separator=%2C%20&increasing-sequence=true&plus-minus-one=false&decimal-base=true

All number tools

Quickly create a list of numbers in arithmetic series.

Quickly create a list of numbers in geometric series.

Quickly calculate the coefficients of the binomial expansion.

Quickly create a downloadable image from numbers.

Quickly create a list of random numbers.

Quickly create a list of random primes from a specific interval.

Quickly create a matrix with random numbers as its elements.

Quickly create a random row or column vector.

Quickly exchange rows and columns of a matrix.

Quickly find the inverse matrix of any square matrix.

Quickly find the determinant of any square matrix.

Quickly calculate any number of digits of number π.

Quickly generate the specified number of Euler constant's digits.

Quickly generate any number of golden ratio digits.

Quickly generate numbers of say what you see sequence.

Quickly calculate numbers of Fibonacci sequence.

Quickly calculate numbers of Lucas series.

Quickly generate Fibonacci-like series with custom start values.

Quickly calculate members of a linear recurrence series.

Quickly create a sequence of prime numbers.

Quickly check if the given number is a prime.

Quickly compute all prime factors of a number.

Quickly compute all divisors of a number.

Quickly calculate the GCD of two or more numbers.

Quickly calculate the LCM of two or more numbers.

Quickly create a list of increasing or decreasing integers.

Quickly create a sequence of even numbers.

Quickly create a sequence of odd numbers.

Quickly create a list of squares.

Quickly create a list of cubes.

Quickly generate a series of numbers in the form 2^n.

Quickly generate a series of numbers in the form 10^n.

Quickly choose one or more numbers from a list of numbers.

Quickly round one or more numbers to the given accuracy.

Quickly sort numbers in ascending or descending order.

Quickly sort number's digits in ascending or descending order.

Quickly randomize the order of digits in a number.

Quickly filter numbers according to certain criteria.

Quickly add up all the numbers in the given list and find their sum.

Quickly multiply all the given numbers together and find their product.

Quickly add up all the digits of the given numbers.

Quickly multiply all the digits of the given numbers.

Quickly create a diagonal matrix with ones on the main diagonal.

Quickly convert a number to the form 2^x.

Quickly express a number in the form 10^x.

Quickly add digits to a number so that it becomes a palindrome.

Quickly test if the given numbers are palindromes.

Coming soon
These number tools are on the way

Generate Numberwang Numbers

Create a list of numberwang numbers.

Rewrite Numbers

Given numbers and a grammar, recursively rewrite them.

Create a Floating Point Number

Create a number from the mantissa, base and exponent.

Convert a Number to the Scientific Notation

Convert a number to the a*10^b form.

Convert Scientific Notation to a Number

Convert a number in scientific notation to a regular number.

Generate Random Binary Numbers

Create a list of random binary numbers.

Generate Random Octal Numbers

Create a list of random octal numbers.

Generate Random Decimal Numbers

Create a list of random decimal numbers.

Generate Random Hex Numbers

Create a list of random hexadecimal numbers.

Calculate a Running Sum

Calculate a cumulative sum of a list of numbers.

Calculate a Running Product

Calculate a cumulative product of a list of numbers.

Find the Maximal Number

Find the largest number in a number sequence.

Find the Minimal Number

Find the smallest number in a number sequence.

Calculate the Factorial

Find the factorial of a number.

Generate Number Bigrams

Create a list of digit bigrams from a number.

Generate Number Trigrams

Create a list of digit trigrams from a number.

Generate Number N-grams

Create a list of digit ngrams from a number.

Generate SI Prefixes

Create a list of metric prefixes.

Analyze a Number

Report how many digits appear how many times.

Convert a Number to an Ordinal

Convert a cardinal number to an ordinal number.

Convert an Ordinal to a Number

Convert an ordinal number to a cardinal number.

Convert a Number to Words

Express a number in English words.

Convert Words to a Number

Rewrite English words to numbers.

Convert a Number to Roman Number

Convert Arabic numerals to Roman numerals.

Convert a Roman Number to Regular Number

Convert Roman Numerals to Arabic numerals.

Generate Negafibonacci Numbers

Calculate a series of extended Fibonacci numbers.

Generate Fibonacci Primes

Find numbers that are both Fibonacci numbers and primes.

Fibonacci Number Test

Check if a number is a Fibonacci number.

Fibonacci Prime Test

Check if a number is both a Fibonacci number and a prime.

Construct Fibonacci Words

Create a sequence of Fibonacci words.

Construct Tribonacci Words

Create a sequence of Tribonacci words.

Generate Negalucas Numbers

Calculate a series of extended Lucas numbers.

Generate Lucas Primes

Calculate a series of extended Lucas numbers.

Lucas Prime Test

Check if a number is both a Lucas number and a prime.

Calculate the Trace of a Matrix

Find the sum of main diagonal elements of a matrix.

Calculate the Eigenvalues of a Matrix

Find the eigenvalues of a matrix.

Multiply Matrices

Compute the product of two matrices.

Add Matrices

Compute the sum of two matrices.

Subtract Matrices

Compute the difference of two matrices.

Generate Moser de Bruijn Numbers

Calculate a sequence of Moser-Bruijn numbers.

Generate Kolakoski Numbers

Calculate a sequence of Oldenburger-Kolakoski numbers.

Generate Stanley Numbers

Calculate a sequence of Stanley numbers.

Generate Gijswijt Numbers

Calculate a sequence of self-describing Gijswijt numbers.

Generate Rudin-Shapiro Numbers

Calculate a sequence of Rusin-Shapiro numbers.

Generate Baum-Sweet Numbers

Calculate a sequence of Baum-Sweet numbers.

Generate Thue-Morse Sequence

Calculate members of Thue-Morse number series.

Generate Perfect Numbers

Create a list of perfect numbers.

Generate Almost Perfect Numbers

Create a list of almost perfect numbers.

Generate Excessive Number Sequence

Calculate a sequence of abundant numbers.

Generate Deficient Number Sequence

Calculate a sequence of deficient numbers.

Calculate Dragon Curve Numbers

Generate a list of paperfolding sequence numbers.

Generate Composite Numbers

Create a list of numbers that are not prime.

Draw a Numbers Table

Generate a table of numbers.

Test if a Number is Perfect

Check if the given number is a perfect number.

Test if a Number is Abundant

Check if the given number is an abundant number.

Test if a Number is Deficient

Check if the given number is a deficient number.

Calculate the Modulo

Find the modulus of a number.

Group Number Digits

Group together digits of a number.

Split a Number into Digits

Create a list of digits from a number.

Printf Numbers

Apply sprintf or printf function to numbers.

Create Zalgo Numbers

Let Zalgo destroy your numbers.

Mirror a Number

Create a mirror copy of a number.

Zero-pad a Number

Add zeros to a number.

Reverse a Number

Reverse the order of digits of a number.

Rotate a Number

Cyclically rotate digits of a number to the left or right.

Increase All Digits in a Number

Add one to every digit in a number.

Decrease All Digits in a Number

Subtract one from every digit in a number.

Count Number Occurrences

Find how often numeric values occur.

Calculate Percentages

Find x% of a number.

Generate Natural Numbers

Create a list of natural numbers.

Generate Rational Numbers

Create a list of rational numbers.

Generate Real Numbers

Create a sequence of real numbers.

Generate Complex Numbers

Create a list of complex numbers.

Generate Binary Numbers

Create a sequence of binary numbers.

Generate Pairs of Numbers

Create a sequence of number pairs.

Generate Triples of Numbers

Create a sequence of number triples.

Generate Tuples of Numbers

Create a sequence of number n-tuples.

Convert a Fraction to a Decimal

Convert a fraction to a decimal number.

Convert a Decimal to a Fraction

Convert a decimal number to a fraction.

Convert a Binary Number to Octal Number

Convert a base two number to base eight number.

Convert a Binary Number to Decimal Number

Convert a base two number to base ten number.

Convert a Binary Number to Hex Number

Convert a base two number to base sixteen number.

Convert a Octal Number to Binary Number

Convert a base eight number to base two number.

Convert a Octal Number to Decimal Number

Convert a base eight number to base ten number.

Convert a Octal Number to Hex Number

Convert a base eight number to base sixteen number.

Convert a Decimal Number to Binary Number

Convert a base ten number to base two number.

Convert a Decimal Number to Octal Number

Convert a base ten number to base eight number.

Convert a Decimal Number to Hex Number

Convert a base ten number to base sixteen number.

Convert a Hex Number to Binary Number

Convert a base sixteen number to base two number.

Convert a Hex Number to Octal Number

Convert a base sixteen number to base eight number.

Convert a Hex Number to Decimal Number

Convert a base sixteen number to base ten number.

Convert Any Number to Any Base

Convert any number in any base to any other base.

Change Number's Mantissa

Change the significand of a number.

Change Number's Base

Change the base of a number.

Change Number's Exponent

Change the power of a number.

Numberwang Number Test

Test if the given number is numberwang.

Subscribe!
Never miss an update

Cool!

Notifications
We'll let you know when we add this tool

Cool!