Bitwise operations treating exact-rational numbers as bit fields.
Example:
> (bitwise-ior 64/127 1024/2047)
76189719046126109205568/151115727451828646838271
> (bitwise-and 64/127 1024/2047)
75557863725914323419136/151115727451828646838271
> (bitwise-xor 64/127 1024/2047)
631855320211785786432/151115727451828646838271