To convert fractions from base 10 to another base, the procedure is
as follows. Multiply by the new base and record a carry in the
integer position. The integer carries are taken in the forward order
to give the new base number.
Example 4 Convert 0.125
1()
to base 6.
0.125 x 6 = 0.75 = 0.75 carry 0
0,75
x
6 = 4.5 = 0.5 carry 4
0.5 x 6 = 3.0 = 0 carry 3 „
0.125
1()
= 0.043
6
Example 5 Convert 0.0625
1()
to base 4.
0.0625 x 4 = 0.25 = 0.25 carry 0 I
0.0625
io
= 0.01
4
Example 6 Convert the answers to Examples 4 and 5 to base 10
using the method shown in Example 1.
(i) • 6"
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