(A + B)(AB)’ is equivalent to
2011
(A + B)(AB)’ is equivalent to
Answer: A. A ⊕ B — (A + B)(AB)’ = (A + B)(A’ + B’) Using Boolean algebra: (A + B)(A’ + B’) = AA’ + AB’ + BA’ + BB’ = AB’ + A’B AB’ + A’B = A ⊕ B
- A.
A ⊕ B
- B.
A ∪ B
- C.
(A ⊕ B) ∪ A
- D.
(A ∪ B) ⊕ A
Attempted by 1280 students.
Show answer & explanation
Correct answer: A
(A + B)(AB)’ = (A + B)(A’ + B’)
Using Boolean algebra:
(A + B)(A’ + B’) = AA’ + AB’ + BA’ + BB’
= AB’ + A’B
AB’ + A’B = A ⊕ B
A video solution is available for this question — log in and enroll to watch it.
Loading lesson…