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$ bc
BC> ibase=2
BC> 110&101 // wanna get 100
(standar_in) 8: syntax error
Wikipedia informs that the ops are “|, & and ^”. It may be that they work only in certain BC-types or I misread something.
Those operators are listed in the section ‘Missing’ operators relative to C, which ends with “… are not available in POSIX bc”