# Bitwise Operations

We provide bitwise operations defined on integers. They are not
defined for floats or decimals. The bitwise operations work for
negative and positive integers including zero. They also work for
unbounded integers. The bit pattern that corresponds to an integer
can be viewed as infinitely extending to the left, for positive
integers and zero by 0’s and for negative integers by 1’s. The
bitwise operations then work on the corresponding binary digits:

Examples:

-11 = …10101

2 = …010

(-11) \/ 2 --> -9 = …10111

(-11) /\ 2 --> 0 = …0

(-11) >> 2 --> -3 = …101

(-11) << 2 --> -44 = …1010100

\ (-11) --> 10 = …01010

The following bitwise operations are recognized in evaluations:

- \ X: [ISO 9.4.5]

- If X is an integer then returns the bitwise complement of X.
- X /\ Y: [ISO 9.4.3]

- If X and Y are both integers then the function returns the
bitwise X and Y.
- X \/ Y: [ISO 9.4.4]

- If X and Y are both integers then the function returns the
bitwise X or Y.
- xor(X, Y): [TC2 9.4.6]

- If X and Y are both integers then the function returns the
bitwise exclusive X or Y.
- X << Y: [ISO 9.4.2]

- If X and Y are both integers then the function returns X
shifted by Y places left.
- X >> Y: [ISO 9.4.1]

- If X and Y are both integers then the function returns X
shifted by Y places right.

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