Final answer:
To derive Y' from Y using De Morgan's theorem, apply the negation operation to each term in the expression. Distribute the negation sign to each term to get Y' = A' + B'.
Step-by-step explanation:
To derive Y' from Y using De Morgan's theorem, we need to apply the negation operation to each term in the expression. In this case, Y = AB + AB, we can distribute the negation sign to each term to get Y' = A' + B'.
Using De Morgan's theorem, the negation of a product is the sum of the negations of the individual terms. So, A' represents the negation of A, and B' represents the negation of B.
Therefore, the final expression Y' is obtained by negating each term in Y, resulting in Y' = A' + B'