Q. The product of sum expression of a Boolean function πΉ(π΄, π΅, πΆ) of three variables is given by πΉ(π΄, π΅, πΆ) = ( π΄ + π΅ + πΆΜ ) β (π΄ + π΅Μ + πΆΜ ) β ( π΄Μ + π΅ + πΆ ) β ( π΄Μ + π΅Μ + πΆΜ ) The canonical sum of product expression of πΉ(π΄, π΅, πΆ) is given by
(A) π΄Μ π΅Μ πΆ + π΄Μ π΅ πΆ + π΄ π΅Μ πΆΜ + π΄ π΅ πΆ
(B) π΄Μ π΅Μ πΆΜ + π΄Μ π΅ πΆΜ + π΄π΅Μ πΆ + π΄ π΅ πΆΜ
(C) π΄ π΅ πΆΜ + π΄ π΅Μ πΆΜ + π΄Μ π΅ πΆ + π΄Μ π΅Μ πΆΜ
(D) π΄Μ π΅Μ πΆΜ + π΄Μ π΅ πΆ + π΄ π΅ πΆΜ + π΄ π΅ πΆ
Ans: AΜ BΜ CΜ + AΜ B CΜ + A BΜ C + A B CΜ
![Determine the correctness (or otherwise) of the following Assertion [A] and the Reason [R]](https://www.gkseries.com/blog/wp-content/uploads/2023/10/Determine-the-correctness-or-otherwise-of-the-following-Assertion-A-and-the-Reason-R.jpg)
