hexadecimal
The hexadecimal system is a positional number system with base 16, using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F. It offers a compact way of expressing binary numbers.
In hexadecimal, all Mersenne numbers greater than 127 end with the digit F repeated several times, while all Fermat numbers greater than 17 are written with several significant zeroes book-ended by two 1’s.
The hexadecimal is a mixed formation of a Greek begin and a Latin end. There is also a less used synonym hexadecadic of purely Greek .
Some divisibility tests in hexadecimal are:
is divisible by 2 if its least significant digit is 0, 2, 4, 6, 8, A, C or E.
is divisible by 4 if its least significant digit is 0, 4, 8 or C.
is divisible by 8 if its least significant digit is 0, or 8.
is divisible by 15 if it has digital root F.
is of course divisible by 16 if it ends in a 0.
is divisible by 17 if the difference of the odd placed digits and the even place digits of is a multiple of 17.
Title | hexadecimal |
---|---|
Canonical name | Hexadecimal |
Date of creation | 2013-03-22 16:20:27 |
Last modified on | 2013-03-22 16:20:27 |
Owner | PrimeFan (13766) |
Last modified by | PrimeFan (13766) |
Numerical id | 6 |
Author | PrimeFan (13766) |
Entry type | Definition |
Classification | msc 11A63 |
Synonym | hexadecadic |