M326K
Homework #3: due Friday, 2/8
Objectives:
•
To reinforce and practice applying some of the concepts and terminology in the class
activity
A Finite Number System
.
•
To deepen your understanding of number systems by examining if some concepts from
the usual number systems carry over to the finite system.
Note
: If you did not finish problems 1–14 in
A Finite Number System
in class, finish them
outside of class, either by yourself or with others.
To Hand In (Make sure you support all of your answers!)
:
1. Answer the following regarding the finite number system.
a. We say that a number is a
multiple of
3 if it can be written as 3 times a number.
List all the numbers that are multiples of 3 in the finite number system.
b. We say that a number is a
multiple of
5 if it can be written as 5 times a number.
List all the numbers that are multiples of 5 in the finite number system.
2. List all the numbers in the finite number system that are perfect squares. Where do
they occur in the multiplication table? (A
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 Spring '08
 Harper
 Addition, ﬁnite number

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