Reflections on remainders inspired by Doomsday Rule sign-off. Applications to programming and arithm
Hosted by Charles in NJ on 2013-07-16 is flagged as Clean and is released under a CC-BY-SA license.
Listen in ogg,
mp3 format. | Comments (0)
Last Episode on Conway's Doomsday Rule ends with teaser on MOD(), a
"remainder" function defined for integer values (whole numbers):
MOD(K, m) = remainder when K is divided by "modulus" m.
a. MOD(207, 7) = MOD(207 - 140, 7) = MOD(67, 7) = 4
b. MOD(1234567, 2) = 1 because the number is odd
MOD() function found in most spreadsheet programs, but it also shows up
as an operator in some programming languages: (a % b), or (a mod b).
Other functions referenced:
DIV(K, m) = quotient in integer division
where K = m * quotient + remainder (not returned)
0 <= remainder < m
DIVMOD(K, m) = (quotient, remainder) when K is divided by m
where remainder = MOD(K, m)
quotient = DIV(K, m)
K = m * quotient + remainder
Full Show Notes
Subscribe to the comments RSS feed.
Note to Verbose Commenters
If you can't fit everything you want to say in the comment below then you really should record a response show instead.
Note to Spammers
All comments are moderated. All links are checked by humans. We strip out all html. Feel free to record a show about yourself, or your industry, or any other topic we may find interesting. We also check shows for spam :).