Tag: science & technology

To solve this question, the user needs to know the basics of Boolean algebra and simplification of Boolean functions using Boolean laws and rules.

Given Boolean function f = A.B.C.D + A.C.D + A.D

We can use Boolean algebraic manipulation to simplify the function as follows:

f = A.B.C.D + A.C.D + A.D

f = A.(B.C.D + C.D + D) //factor out A

f = A.(B.C.D + D.(C+1)) //factor out D

f = A.(B.C.D + D) //C+1=1

f = A.D.(B.C + 1) //factor out A.D

f = A.D //B.C+1=1

Therefore, the simplified Boolean function is f = A.D

Option A is the correct answer.

Option B is incorrect since B.C does not appear in the simplified function.

Option C is incorrect since the simplified function does not include A.B or C.

Option D is incorrect since the correct answer is A.

The Answer is: A. A.D