111000000000001

111000000000001 is a digit string that begins with three consecutive ones, is followed by a long block of zeros, and ends with a trailing one. As a binary-like sequence, it has the three most significant bits set to 1 and the least significant bit set to 1, with a long run of 0s in between.

If interpreted as a binary number, its decimal value depends on the total width of the string. As a 15-bit value it equals 2^14 + 2^13 + 2^12 + 1, which is 28,673. If interpreted as a 16-bit value, it equals 2^15 + 2^14 + 2^13 + 1, which is 57,345. In general, the value can be expressed as 2^(n-1) + 2^(n-2) + 2^(n-3) + 1, where n is the length of the string.

In computing and digital representations, this type of pattern is sometimes used in demonstrations of bit patterns, run-length encoding, or bitwise operations. It illustrates how a large block of zeros can coexist with a few high-order or low-order set bits, a common scenario in tests and examples of binary manipulation.

There is no widely known object, algorithm, or standard uniquely associated with the string 111000000000001. It mainly functions as an example of a sparse, hand-crafted bit pattern used in instructional or testing contexts.

See also: Binary numeral system, Bit string, Run-length encoding.