Answer:
Explanation:
The dual of a function means replace AND with OR and replace OR with AND.
XOR gate of A , B is
[tex]A \, XOR\, B = AB' + A'B[/tex]
So, Dual of A XOR B is ( replace AND with OR and OR with AND)
[tex]= (A+B')(A'+B)[/tex]
Complement of A XOR B is [tex](A XOR B) ' = (AB' + A'B) ' = ((A)' + (B')') ((A')' + (B)') = (A'+B)(A+B')[/tex] (In finding compliment AND becomes OR and OR becomes AND ).
By inter changing the above product of terms
Complement of [tex]A XOR B = (A + B') (A' + B)[/tex]
So, Dual of A XOR B = Complement of A XOR B.
