The simplified function in product of sums of Boolean function F(W, X, Y, Z) =…
2013
The simplified function in product of sums of Boolean function F(W, X, Y, Z) = Σ(0, 1, 2, 5, 8, 9, 10) is
- A.
(W' + X') (Y' + Z') (X' + Z)
- B.
(W' + X') (Y' + Z') (X' + Z')
- C.
(W' + X') (Y' + Z) (X' + Z)
- D.
(W' + X') (Y + Z') (X' + Z)
Attempted by 46 students.
Show answer & explanation
Correct answer: A
To find the simplified Product of Sums, identify maxterms where F is zero: indices 3, 4, 6, 7, 11, 12, 13, 14, 15.
Group these zeros on a K-map to find essential prime implicants: (W' + X'), (Y' + Z'), and (X' + Z). Multiply these sum terms to obtain the final expression.
A video solution is available for this question — log in and enroll to watch it.