1023 (number)

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← 1022 1023 1024 →
Cardinal one thousand twenty-three
Ordinal 1023rd
(one thousand twenty-third)
Factorization 3 × 11 × 31
Divisors 1, 3, 11, 31, 33, 93, 341, 1023
Greek numeral ,ΑΚΓ´
Roman numeral MXXIII
Binary 11111111112
Ternary 11012203
Senary 44236
Octal 17778
Duodecimal 71312
Hexadecimal 3FF16

1023 is the natural number following 1022 and preceding 1024.

Contents

Mathematics

1023 is a Mersenne number. [1]

In other fields

Computing

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, 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 or length of messages of an error-correcting Reed-Muller code made of 64 block codes. [2]

Technology

The Global Positioning System (GPS) works on a ten-digit binary counter that runs for 1023 weeks, at which point an integer overflow 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

1024 (number)

Related Research Articles

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References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA000225(Mersenne numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-11-01.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA008949(Triangle read by rows of partial sums of binomial coefficients...also dimensions of Reed-Muller codes.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-11-01.
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