MGMT 1030 Lecture 27: MGMT 1030 Lecture 27 Notes

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MGMT 1030 Lecture 27 Notes Flowing Around
Introduction
Notice that when you reach the right end of the scale, it continues by flowing around to
the left end.
Counting corresponds to addition
Thus, to add a number to another is simply to count upward from one number by the
other.
As you can see from the examples in this diagram, simple additions are straightforward
and work correctly.
To undestand ho this poess oks in a apaound situation, consider the
example shown
As you can see in this case, adding 699 to the value 200 leads to the position 899 by
wrapping around the right end.
Sine 6 is euialent to− and  is euialent to−, 6+ is euialent to
− +, and the result of the addition is correct.
The reason this technique works can also be seen in the diagram.
The wraparound is equivalent to extending the range to include the addition on the
scale.
The same final point should also be reached by moving to the left 300 units, which is
equivalent to subtracting 300.
In fact, the result is off by 1.
This occurs because we have again picked a scale with two values for 0, namely, 0 for +0
and  fo −.
This means that any count that crosses the modulus will be short one count
Since 0 will be counted twice.
In this particular example, the count to the right, which is the a addition 200 + 699,
yielded the correct result
Since the modulus was not crossed.
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