Q45,paper3, J13. The simplified function in product of sums of Boolean func tion 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)

Answer A.

Explanation.

Check for  w=0,x=0,y=0,z=0.

All option qualify for this.

Check for (0001). All options qualify this combination.

Check for (0010). All option qualify this combination.

Check for(0101).option B,D fails.

Check for (1000) option  A,C qualifies.

Check for (1001) option  A,C qualifies.

Check for 1010 option c fails.
Option A qualifies all tests.