65,535: Difference between revisions
Appearance
Content deleted Content added
Line 16: | Line 16: | ||
== In computing == |
== In computing == |
||
*65535 occurs frequently in the field of [[computing]] because it is <math>2^{16} - 1</math> (one less than 2 to the 16th power), which is the highest number that can be represented by an unsigned 16-bit [[Binary numeral system|binary]] number. Some computer programming environments may have predefined constant values representing 65535, with names like {{code|MAX_UNSIGNED_SHORT}}. |
*65535 occurs frequently in the field of [[computing]] because it is <math>2^{16} - 1</math> (one less than 2 to the 16th power), which is the highest number that can be represented by an unsigned 16-bit [[Binary numeral system|binary]] number. Some computer programming environments may have [[predefined]] constant values representing 65535, with names like {{code|MAX_UNSIGNED_SHORT}}. |
||
*In older computers with processors having a 16-bit address bus (such as the [[MOS Technology 6502]] and the [[Zilog Z80]]), 65535 (FFFF<sub>[[hexadecimal|16]]</sub>) is the highest addressable memory location, with 0 (0000<sub>[[hexadecimal|16]]</sub>) being the lowest. Such processors thus support at most 64 [[kibibyte|KiB]] of total byte-addressable memory. |
*In older computers with processors having a 16-bit address bus (such as the [[MOS Technology 6502]] and the [[Zilog Z80]]), 65535 (FFFF<sub>[[hexadecimal|16]]</sub>) is the highest addressable memory location, with 0 (0000<sub>[[hexadecimal|16]]</sub>) being the lowest. Such processors thus support at most 64 [[kibibyte|KiB]] of total byte-addressable memory. |
||
*In [[Internet protocols]], 65535 is also the number of [[TCP and UDP port]]s available for use, since port 0 is reserved. |
*In [[Internet protocols]], 65535 is also the number of [[TCP and UDP port]]s available for use, since port 0 is reserved. |
Revision as of 01:14, 15 August 2022
This article needs additional citations for verification. (September 2010) |
| ||||
---|---|---|---|---|
Cardinal | sixty-five thousand five hundred thirty-five | |||
Ordinal | 65535th (sixty-five thousand five hundred thirty-fifth) | |||
Factorization | 3 × 5 × 17 × 257 | |||
Divisors | 16 total | |||
Greek numeral | ͵εφλε´ | |||
Roman numeral | LXVDXXXV | |||
Binary | 11111111111111112 | |||
Ternary | 100222200203 | |||
Senary | 12232236 | |||
Octal | 1777778 | |||
Duodecimal | 31B1312 | |||
Hexadecimal | FFFF16 |
65535 is the integer after 65534 and before 65536.
In mathematics
65535 is the product of the first four Fermat primes: 65535 = (2 + 1)(4 + 1)(16 + 1)(256 + 1). Because of this property, it is possible to construct with compass and straightedge a regular polygon with 65535 sides. See constructible polygon.
65535 is the sum of 20 through 215 (20 + 21 + 22 + ... + 215)
65535 is the 15th 626-gonal number, the 5th 6555-gonal number, and the 3rd 21846-gonal number.
In computing
- 65535 occurs frequently in the field of computing because it is (one less than 2 to the 16th power), which is the highest number that can be represented by an unsigned 16-bit binary number. Some computer programming environments may have predefined constant values representing 65535, with names like
MAX_UNSIGNED_SHORT
. - In older computers with processors having a 16-bit address bus (such as the MOS Technology 6502 and the Zilog Z80), 65535 (FFFF16) is the highest addressable memory location, with 0 (000016) being the lowest. Such processors thus support at most 64 KiB of total byte-addressable memory.
- In Internet protocols, 65535 is also the number of TCP and UDP ports available for use, since port 0 is reserved.
- In some implementations of Tiny BASIC, entering a command that divides any number by zero will return 65535.
- In an unpatched version of Microsoft Excel 2007, many mathematical computations evaluating to 65535 will display incorrectly. For example,
=850*77.1
displays as 100000 rather than 65535. Microsoft reports[1] this to be a display-only bug for only 6 floating point numbers near 65535 and 65536. These display issues do not occur in editions of Excel that have been updated to Office 2007 service pack 2. - In Microsoft Word 2011 for Mac, 65535 is the highest line number that will be displayed.
See also
References
- ^ Microsoft Excel: Calculation Issue Update Archived 2007-10-06 at the Wayback Machine