Power of Two - Some Selected Powers of Two

Some Selected Powers of Two

28 = 256

The number of values represented by the 8 bits in a byte, more specifically termed as an octet. (The term byte is often defined as a collection of bits rather than the strict definition of an 8-bit quantity, as demonstrated by the term kilobyte.)

210 = 1,024

The binary approximation of the kilo-, or 1,000 multiplier, which causes a change of prefix. For example: 1,024 bytes = 1 kilobyte (or kibibyte).

This number has no special significance to computers, but is important to humans because we make use of powers of ten.

212 = 4,096

The hardware page size of Intel x86 processor.

216 = 65,536

The number of distinct values representable in a single word on a 16-bit processor, such as the original x86 processors.

The maximum range of a short integer variable in the C, C++, C#, and Java programming languages. The maximum range of a Word or Smallint variable in the Pascal programming language.

220 = 1,048,576

The binary approximation of the mega-, or 1,000,000 multiplier, which causes a change of prefix. For example: 1,048,576 bytes = 1 megabyte (or mibibyte).

This number has no special significance to computers, but is important to humans because we make use of powers of ten.

224 = 16,777,216

The number of unique colors that can be displayed in truecolor, which is used by common computer monitors.

This number is the result of using the three-channel RGB system, with 8 bits for each channel, or 24 bits in total.

230 = 1,073,741,824

The binary approximation of the giga-, or 1,000,000,000 multiplier, which causes a change of prefix. For example, 1,073,741,824 bytes = 1 gigabyte (or gibibyte).

This number has no special significance to computers, but is important to humans because we make use of powers of ten.

232 = 4,294,967,296

The number of distinct values representable in a single word on a 32-bit processor. Or, the number of values representable in a doubleword on a 16-bit processor, such as the original x86 processors.

The range of an int variable in the Java and C# programming languages.

The range of a Cardinal or Integer variable in the Pascal programming language.

The minimum range of a long integer variable in the C and C++ programming languages.

The total number of IP addresses under IPv4. Although this is a seemingly large number, IPv4 address exhaustion is imminent.

240 = 1,099,511,627,776

The binary approximation of the tera-, or 1,000,000,000,000 multiplier, which causes a change of prefix. For example, 1,099,511,627,776 bytes = 1 terabyte (or tebibyte).

This number has no special significance to computers, but is important to humans because we make use of powers of ten.

250 = 1,125,899,906,842,624

The binary approximation of the peta-, or 1,000,000,000,000,000 multiplier. 1,125,899,906,842,624 bytes = 1 petabyte (or pebibyte).

260 = 1,152,921,504,606,846,976

The binary approximation of the exa-, or 1,000,000,000,000,000,000 multiplier. 1,152,921,504,606,846,976 bytes = 1 exabyte (or exbibyte).

264 = 18,446,744,073,709,551,616

The number of distinct values representable in a single word on a 64-bit processor. Or, the number of values representable in a doubleword on a 32-bit processor. Or, the number of values representable in a quadword on a 16-bit processor, such as the original x86 processors.

The range of a long variable in the Java and C# programming languages.

The range of a Int64 or QWord variable in the Pascal programming language.

The total number of IPv6 addresses generally given to a single LAN or subnet.

One more than the number of grains of rice on a chessboard, according to the old story, where the first square contains one grain of rice and each succeeding square twice as many as the previous square.

296 = 79,228,162,514,264,337,593,543,950,336

The total number of IPv6 addresses generally given to a local Internet registry. In CIDR notation, ISPs are given a /32, which means that 128-32=96 bits are available for addresses (as opposed to network designation). Thus, 296 addresses.

2128 = 340,282,366,920,938,463,463,374,607,431,768,211,456

The total number of IP addresses available under IPv6.

243,112,609 − 1 = 316,470,269, …, 697,152,511

The largest known prime number as of 2012. It has 12,978,189 digits.