1023 (one thousand
ndtwenty-three) is the
natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called ''Cardinal n ...
following 1022 and preceding
1024.
In mathematics
1023 is the tenth
Mersenne number
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th ...
of the form
.
In
binary
Binary may refer to:
Science and technology Mathematics
* Binary number, a representation of numbers using only two digits (0 and 1)
* Binary function, a function that takes two arguments
* Binary operation, a mathematical operation that ta ...
, it is also the tenth
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
1111111111
2 as all Mersenne numbers in
decimal
The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...
are repdigits in binary.
It is equal to the sum of five consecutive prime numbers 193 + 197 + 199 + 211 + 223.
It is the number of
three-dimensional
Three-dimensional space (also: 3D space, 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called ''parameters'') are required to determine the position of an element (i.e., point). This is the informa ...
polycube
upAll 8 one-sided tetracubes – if chirality is ignored, the bottom 2 in grey are considered the same, giving 7 free tetracubes in total
A puzzle involving arranging nine L tricubes into a 3×3 cube
A polycube is a solid figure formed by j ...
s with
7 cells.
1023 is the number of
elements in the
9-simplex
In geometry, a 9- simplex is a self-dual regular 9-polytope. It has 10 vertices, 45 edges, 120 triangle faces, 210 tetrahedral cells, 252 5-cell 4-faces, 210 5-simplex 5-faces, 120 6-simplex 6-faces, 45 7-simplex 7-faces, and 10 8-simplex 8-fa ...
, as well as the number of
uniform polytope
In geometry, a uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets. The uniform polytopes in two dimensions are the regular polygons (the definition is different in 2 dimensions to exclude vert ...
s in the
tenth-dimensional hypercubic family , and the number of
noncompact solutions in the family of
paracompact honeycombs that shares symmetries with
.
In computing
The
Global Positioning System
The Global Positioning System (GPS), originally Navstar GPS, is a satellite-based radionavigation system owned by the United States government and operated by the United States Space Force. It is one of the global navigation satellite sy ...
(GPS) works on a ten-digit
binary
Binary may refer to:
Science and technology Mathematics
* Binary number, a representation of numbers using only two digits (0 and 1)
* Binary function, a function that takes two arguments
* Binary operation, a mathematical operation that ta ...
counter that runs for 1023 weeks, at which point an
integer overflow
In computer programming, an integer overflow occurs when an arithmetic operation attempts to create a numeric value that is outside of the range that can be represented with a given number of digits – either higher than the maximum or lower ...
causes its internal value to
roll over
Rollover or roll over may refer to:
Arts and entertainment
* ''Rollover'' (film), a 1981 American political thriller
*''Roll Over'', a 1992 album by Hound Dog
* "Roll Over", a 2006 song by Zico Chain
* "Roll Over", a 1989 song by Steven Wayne ...
to zero again.
Floating-point units in computers often run a
IEEE 754 64-bit,
floating-point excess-1023 format in 11-bit binary. In this format, also called
binary64
Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.
Fl ...
, the exponent of a floating-point number (i.e. 1.009001 E1031) appears as an unsigned binary integer from 0 to 2047, where subtracting 1023 from it gives the actual
signed value.
1023 is the number of
dimensions
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordin ...
or length of messages of an error-correcting
Reed-Muller code made of
64 block codes.
See also
*The year
1023 AD
References
{{Integers, 10
Integers