I have some doubts after learning the principle of the duality of boolean algebra, which defines the dual of an expression is obtained by replacing
However I encountered a problem with understanding it, which is supposing there is given that a boolean expression
A + B = 1 is true, whether or not the dual
AB = 0 is also true.
As I obtained a truth table of A + B, the given expression is true when A and B are both 1s (
1 + 1 = 1). But I found that the dual may be wrong (
1 . 1 = 0)
I would wonder if my concept on the principle is correct or not and the statement is false or my understanding is wrong such that the statement is true actually.
Thanks a lot!!