"Power of 2" redirects here. For other uses of this and of "Power of two", see Power of two (disambiguation)
Visualization of powers of two from 1 to 1024 (20 to 210) as base-2 Dienes blocks
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.
Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times.[1][2] The first ten powers of 2 for non-negative values of n are:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, ... (sequence A000079 in the OEIS)
By comparison, powers of two with negative exponents are fractions: for a negative integer n, 2n is one half multiplied by itself n times. Thus the first few powers of two where n is negative are 1/2, 1/4, 1/8, 1/16, etc. Sometimes these are called inverse powers of two because each is the multiplicative inverse of a positive power of two.
^Lipschutz, Seymour (1982). Schaum's Outline of Theory and Problems of Essential Computer Mathematics. New York: McGraw-Hill. p. 3. ISBN 0-07-037990-4.
^Sewell, Michael J. (1997). Mathematics Masterclasses. Oxford: Oxford University Press. p. 78. ISBN 0-19-851494-8.
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