Question

Consider the karnaugh map given below and answer the following questions.

1 1 1 0
1 0 0 0
1 1 1 0
d 0 1 1
a. obtain the simplified SOP digital logic statement.
b. obtain the simplified POS digital logic statement.

Answer 1

To simplify the logic statement using a Karnaugh map, one must group the ones for SOP and group the zeros for POS, eliminate terms to simplify the algebra, and then check if the answer is reasonable.

Step-by-step explanation:

The Karnaugh map (K-map) is a visual method for simplifying Boolean algebra expressions in digital logic design. To obtain the simplified Sum of Products (SOP) and Product of Sums (POS) digital logic statements from the provided map, one needs to look for grouping the ones (for SOP) and grouping the zeros (for POS) in powers of two (e.g., 1, 2, 4, 8). Once groups are made, the SOP expression is derived by taking the common variable from each group and OR-ing them. Conversely, for POS, the common variable complements are AND-ed.

However, without the specific Karnaugh map layout, it's not feasible to provide the exact simplified digital logic statements. It's essential to eliminate terms wherever possible to obtain the most simplified form, then check the answer for reasonableness.