Consider the Boolean function:
F(A,B,C,D)=Σm(0,1,2,3,8,9,10,11)
where A is MSB and D is LSB.
What is the minimal sum-of-products form?

Question

Consider the Boolean function: F(A,B,C,D)=Σm(0,1,2,3,8,9,10,11) where A is MSB and D is LSB. What is the minimal sum-of-products form?

Accepted Answer

Correct answer: B — The given Boolean function is F(A,B,C,D) = Σm(0,1,2,3,8,9,10,11). Convert minterms to binary (A is MSB, D is LSB): 0: 0000, 1: 0001, 2: 0010, 3: 0011, 8: 1000, 9: 1001, 10: 1010, 11: 1011 Group 1 (0,1,2,3): A=0, B=0. Term: A'B' Group 2 (8,9,10,11): A=1, B=0. Term: AB' Combine terms: A'B' + AB' = B'(A' + A) = B'

Answer

A. A′+B′+C′+D′

Answer

B. B′

Answer

C. A′B′+AB

Answer

D. A′

Consider the Boolean function: F(A,B,C,D)=Σm(0,1,2,3,8,9,10,11) where A is MSB…