Question

\( A + A.B + A.B.C + A.B.C.D \) simplifies to

• A. \( A + D \)
• B. \( A + C' \)
• C. \( A + B \)
• D. \( A \)

Hint:

In Boolean algebra, when a term is repeated with an AND operation, it can be simplified by factoring out the common term, reducing the complexity.

Answer 1

The Correct Option is D

Using Boolean algebra, we can simplify the expression as follows: \[ A + A.B + A.B.C + A.B.C.D \] First, observe that the terms \( A.B \), \( A.B.C \), and \( A.B.C.D \) are all redundant because \( A \) is common to all terms. Therefore, the expression simplifies to: \[ A + A.B + A.B.C + A.B.C.D = A \] Thus, the correct answer is option (4).