# What does "number represented by the 5-tuple" mean?

As in from homework problem:

Plot this function in K-map:

$F(A,B,C,D,E)$ is 1 if the number represented by the 5-tuple (A,B,C,D,E) is even or divisible by 3.

Does this mean I should treat each word as a binary number? For example:

$F(0,1,1,0,0) = 1$ because 01100 is even number.

$F(0,1,0,0,1)= 1$ because 01001 is 9 in decimal and 9 is divisible by 3.

• I think there's more information needed to answer this. Is there any context about how to construct a number from A, B, C, D, and E? I don't feel like it's a given that each letter represents a binary bit. Commented Sep 19, 2014 at 21:00
• I take that back... if this is a Karnaugh Map, then they probably are binary bits. Commented Sep 19, 2014 at 21:09
• That's all it says on the problem. Nothing in the textbook explains anything about tuples. I tried to look around the internet and I couldn't find anything either. And yes, they are binary bits. Commented Sep 19, 2014 at 21:09
• Based on this wikipedia example, I suspect your approach is correct: en.wikipedia.org/wiki/Karnaugh_map#Example Commented Sep 19, 2014 at 21:11
• I believe that your approach is right - this is what I've done in the past for divisibility problems with k-maps. Commented Sep 19, 2014 at 21:24