I have a question about a simplification in my textbook. They define a F(A,B,C) in terms of the minterms: \(\Sigma\)m(0,1,2,3,4,5). From the minterms, its easy to get an expression as the sum of products which turns out to be:
A'B'C' + A'B'C + A'BC' + A'BC + AB'C' + AB'C
Now using a K-map and using just the boolean postulates, I simplify the expression to just:
A' + B'
But my question is, how do you compare the truth tables of these 2 functions to see if they have the same output? I don't see how just because the literal C nulls out after all the simplification.
A'B'C' + A'B'C + A'BC' + A'BC + AB'C' + AB'C
Now using a K-map and using just the boolean postulates, I simplify the expression to just:
A' + B'
But my question is, how do you compare the truth tables of these 2 functions to see if they have the same output? I don't see how just because the literal C nulls out after all the simplification.