Power of two
Power of two
!Visualization of powers of two from 1 to 1024 (20 to 210) as base-2 [Dienes blocks](//upload.wikimedia.org/wikipedia/commons/thumb/1/16/Powersoftwocuboids.svg/250px-Powersoftwocuboids.svg.png)
Power of two
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base) and integer n as the exponent. In the fast-growing hierarchy, 2n is exactly equal to ${\displaystyle f{1}^{n}(1)}$. In the Hardy hierarchy, 2n is exactly equal to ${\displaystyle H{\omega {n}}(1)}$.
Power of two
Powers of two with non-negative#Terminologyforsigns) exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times. The first ten powers of 2 for non-negative values of n are: