1023 is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following 1022 and preceding
1024
Year 1024 ( MXXIV) was a leap year starting on Wednesday of the Julian calendar.
Events
January–March
* January 17 – Abd al-Rahman V, Caliph of Córdoba is assassinated in a coup d'etat by Muhammad III of Córdoba.
* February 17 ...
.
Mathematics
1023 is a number whose sum of digits is 6, and is a sum of 5 consecutive primes (193, 197, 199, 211 and 223).
It is a sub-perfect power (a
perfect power
In mathematics, a perfect power is a natural number that is a product of equal natural factors, or, in other words, an integer that can be expressed as a square or a higher integer power of another integer greater than one. More formally, ''n'' ...
minus 1) specifically 4^5 - 1 and 2^10 - 1. The latter of these makes it a
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 17t ...
, and both of these cause it to be palindromic when converted to bases 2 and 4 (as in both they are a string of 1's).
It is a
Stirling number of the second kind
In mathematics, particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of ''n'' objects into ''k'' non-empty subsets and is denoted by S(n,k) or \textstyle \lef ...
, specifically
.
There are 1023
polycubes
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 3×3×3 cube
A polycube is a solid figure formed by joi ...
with 7 cells (when counting reflections as distinct, which is standard).
In other fields
Computing
Floating-point unit
A floating-point unit (FPU), numeric processing unit (NPU), colloquially math coprocessor, is a part of a computer system specially designed to carry out operations on floating-point numbers. Typical operations are addition, subtraction, multip ...
s in computers often run a
IEEE 754
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic originally established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard #Design rationale, add ...
64-bit,
floating-point
In computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a ''significand'' (a Sign (mathematics), signed sequence of a fixed number of digits in some Radix, base) multiplied by an integer power of that ba ...
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 range of numeric values by using a floating radix point.
Double prec ...
, the exponent of a floating-point number (e.g. 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 coordi ...
or length of messages of an error-correcting
Reed-Muller code made of
64 block codes.
Technology
The
Global Positioning System
The Global Positioning System (GPS) is a satellite-based hyperbolic navigation system owned by the United States Space Force and operated by Mission Delta 31. It is one of the global navigation satellite systems (GNSS) that provide ge ...
(GPS) works on a ten-digit
binary
Binary may refer to:
Science and technology Mathematics
* Binary number, a representation of numbers using only two values (0 and 1) for each digit
* Binary function, a function that takes two arguments
* Binary operation, a mathematical op ...
counter that runs for 1023 weeks, at which point an
integer overflow
In computer programming, an integer overflow occurs when an arithmetic operation on integers 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 maximu ...
causes its internal value to
roll over to zero again.
1023 being
, is the maximum number that a 10-bit
ADC converter can return when measuring the highest voltage in range.
See also
*
AD 1023
References
{{Integers, 10
Integers