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Animated Remainder Graph

​
modulus
7
input integer
169
algorithm step
1
A remainder graph provides a visual way to calculate the remainder
n(modm)
upon dividing a given integer
n
by a given modulus
m
. To find the value of the remainder, take a walk on the graph starting at the 0 node. Read off the digits of
n
from left to right. For each digit, walk the same number of steps along the black arrows, followed by a single step along a blue arrow. Continue until you follow the black arrows for the final digit. The node you end up at is the value of
n(modm)
.
This Demonstration displays the remainder graphs for various choices of modulus. Given a positive integer, it also provides an animation of the process of walking along the graph.
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