Arithmetic Operations In Bases Other Than Ten Worksheet With Answers
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Arithmetic Operations in Bases Other Than
Ten
The base-ten arithmetic algorithms discussed in the previous two sections
also work in other bases. In this section we apply the algorithms to base five.
Addition in Base Five
In base five the digits used are 0,1,2,3, and 4. Using blocks one can easily
build the following addition table.
+ 0 1
2
3
4
0
0 1
2
3
4
1
1 2
3
4
10
2
2 3
4
10 11
3
3 4
10 11 12
4
4 10 11 12 13
All numerals in the table are written in base five with subscripts omitted.
Example 14.1
Compute 12
+ 31
using blocks.
Solution.
Figure 14.1 shows how to compute 342
+ 134
using blocks.
Figure 14.1
Example 14.2
Use a base five line to illustrate 12
+ 20
.
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