Power of two

In mathematics, a power of two is any number which is an integer power of two. Each power of 2 is twice as large as the one before. Powers of two are important in binary just as powers of ten (like 1, 10, 100, etc.) are important in decimal. The numbers one less than powers of two are called Mersenne numbers.

Power Of Two Media

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  Visualization of powers of two from 1 to 1024 (20 to 210) as base-2 Dienes blocks

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  As each increase in dimension doubles the number of shapes, the sum of coefficients on each row of Pascal's triangle is a power of two

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  The sum of powers of two from zero to a given power, inclusive, is 1 less than the next power of two, whereas the sum of powers of two from negative infinity to a given power, inclusive, equals the next power of two.