MthT 430 Projects Chap8a Decimal and Binary Expansions
MthT 430 Projects Chap8a Decimal and Binary Expansions
Given that we have worked so long on binary expansions, let's find binary expansions for some common numbers.
1.
Find the decimal and binary expansions (all digits!) for
x =
1
3
.
2.
Find the decimal and binary expansions (all digits!) for
x =
1
5
.
3.
Find the decimal and binary expansions (all digits!) for
x =
1
6
.
4.
Find the decimal and binary expansions (all digits!) for
x =
1
10
.
5.
Let
x
= .
bin
c
1
c
2
c
3
c
1
c
2
c
3
¼
(
Keep
repeating
c
1
c
2
c
3
)
= .
bin
c
1
c
2
c
3
Express x as a rational number.
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On 29 Oct 2007, 18:53.