Digital Logic05 marksExclusive-OR and exclusive-NOR gates
Show that the dual of the exclusive-OR is equal to its complement.
Show that the dual of the exclusive-OR is equal to its complement. [5]
Exclusive-OR (XOR): $$A \oplus B = A'B + AB'$$ Dual of a Boolean function: Replace every AND (·) with OR (+), every OR (+) with AND (·), every 1 with 0, and every 0 with 1. (Variables and their complements are left unchanged.) Complement of a function: Apply De Morgan's theorem (or truth table ne...