Question

The product of maxterms for the given boolean function is: \[ Y = ab + a'c \] Choose the correct answer from the options given below:

• A. \( M_0, M_3, M_5, M_7 \)
• B. \( M_1, M_3, M_5, M_7 \)
• C. \( M_2, M_3, M_5, M_7 \)
• D. \( M_1, M_2, M_5, M_7 \)

Hint:

Maxterms correspond to the OR of all variables, where each variable is complemented if its value is 0 in the truth table.

Answer 1

The Correct Option is A

Step 1: Maxterm Explanation. A maxterm is the OR combination of all variables. A variable is complemented if its value is 0 in the truth table. For the function \( Y = ab + a'c \), the maxterms are: \[M_0, M_3, M_5, M_7\]
Final Answer: \[\boxed{(1) \, M_0, M_3, M_5, M_7}\]