The following table has 3 input value. I need to make a logical expression that has this truth table.
X Y Z OUTPUT
0 0 0 0
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 1
1 0 1 1
1 1 0 0
1 1 1 1
I attempted combinations like AND with XOR or XNOR with AND. But I can't seem to find the combination to the logic table to get the output of the table.
Consider rows, where output equals to $1$, all we need to do is to write combinations which produce each of these rows and then make union of them $$ Output = (\neg X\land \neg Y \land Z) \lor (X \land \neg Y \land \neg Z) \lor (X \land \neg Y \land Z) \lor (X\land Y \land Z) $$