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# The passing of FiftyOneFifty

It is with deep sadness we announce that another of our hosts and friends Donald Grier, known to us as FiftyOneFifty, has passed away.

FiftyOneFifty's frat brother Randy Hall has written an lovely piece. The team at Linuxlugcast are preparing our own tribute if you want to contribute an audio file you can email Honkeymagoo or join the show.

Our thoughts go out to his friends and family at this difficult time.

# hpr1292 :: Doomsday Remainders

### 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.
Tags: arithmetic,remainder,mod.
Listen in ogg, spx, or 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.

Examples:
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
```

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