Arithmetic Operations In Bases Other Than Ten Worksheet With Answers Page 7
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8Division in Base Five
Long division in base five can be done with a long division analogous to the
base ten algorithm. The ideas behind the algorithms for division can be
developed by using repeated subtraction. For example, 3241
43
is
computed by means of repeated-subtraction technique as shown in Figure
14.3(a) and by means of the conventional algorithm shown in Figure 14.3(b).
Thus, 3241
43
= 34
with remainder 14
.
Figure 14.3
Practice Problems
Problem 14.20
Perform the following divisions:
(a) 32
4
(b) 143
3
(c) 10010
11
.
Problem 14.21
For what possible bases are each of the following computations correct?
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