Repeating Binary Expansions
All rational numbers have repeating binary expansions. Operations to
access the individual bits of a binary expansion can be obtained by
converting the value to
RadixExpansion(2). More examples
of expansions are available in
DecimalExpansion,
HexadecimalExpansion, and
RadixExpansion.
The expansion (of type
BinaryExpansion)
of a rational number is returned by the
binary operation.
Arithmetic is exact.
The period of the expansion can be short or long...
or very long
These numbers are bona fide algebraic objects.
