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1023 (number)

← 1022 1023 1024 →
Cardinalone thousand twenty-three
Ordinal1023rd
(one thousand twenty-third)
Factorization3 × 11 × 31
Divisors1, 3, 11, 31, 33, 93, 341, 1023
Greek numeral,ΑΚΓ´
Roman numeralMXXIII, mxxiii
Binary11111111112
Ternary11012203
Senary44236
Octal17778
Duodecimal71312
Hexadecimal3FF16

1023 is the natural number following 1022 and preceding 1024.

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

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A000225 (Mersenne numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-11-01.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A008949 (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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