Arithmetic Operations In Bases Other Than Ten Worksheet With Answers Page 2
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3
4
5
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8Solution.
Note that 12
+ 20
= 32
.
Example 14.3
Compute the sum 342
+ 134
(a) using the lattice algorithm
(b) using the expanded algorithm
(c) using the standard algorithm.
Solution.
To check that the answer to the above addition is correct, we convert ev-
erything to base 10 where we feel comfortable.
342
=
3 5 + 4 5 + 2
=
97
134
=
1 5 + 3 5 + 4
=
44
1031
= 1 5 + 0 5 + 3 5 + 1 = 141
The result is confirmed since 97 + 44 = 141.
Practice Problems
Problem 14.1
Compute the sum 13
+ 22
using
(a) base five blocks
(b) expanded algorithm
2
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