Show that the dual of the exclusive-OR is equal to its complement. | Digital Logic 2081.2

Digital Logic2081.25 marksNumerical: Dual of exclusive-OR proofExclusive-OR and exclusive-NOR gates

Show that the dual of the exclusive-OR is equal to its complement. [5]

Function: Exclusive-OR, $F = A \oplus B = A\bar{B} + \bar{A}B$ - To prove: $F^D = \bar{F}$ (dual equals complement) --- Dual of a Boolean expression: Interchange AND (·) with OR (+), and interchange 0 with 1. Variables (and their complements) remain unchanged. Complement of a Boolean expression...

Function: Exclusive-OR, $F = A \oplus B = A\bar{B} + \bar{A}B$ - To prove: $F^D = \bar{F}$ (dual equals complement) --- Dual of a Boolean expression: Interchange AND (·) with OR (+), and interchange 0 with 1. Variables (and their complements) remain unchanged. Complement of a Boolean expression...