Question

4. Minimize the following Boolean fune tion -
F (A, B, C, D) -sigma M(0,1,2,5, 7, 8,9, 10, 13, 15)​

Answer 1

Answer:

my matamathics is so week

Answer 2

Answer:

The simplified expression is $\bar B \bar C$ + BD + $\bar B \bar D$

Step-by-step explanation:

The given function is :

f (A , B , C , D) = $\sum$ M (0, 1, 2, 5, 7, 8, 9, 10, 13, 15)

                       = M₀ , M₁ , M₂ , M₅ , M₇ , M₈ , M₉ , M₁₀ , M₁₃ , M₁₅

Simplifying the given function using K-Map

The K-map is attached below.

• Marking the above blocks by '1'

• Now, making groups of 4 followed by groups of 2.

We know that the variable that remains unchanged, is the simplified term.

Therefore,

• From quad M₀ , M₁ , M₈ , M₉ , the simplified term is $\bar B \bar C$
• From quad M₅ , M₇ , M₁₃ , M₁₅ , the simplified term is BD
• From quad M₀ , M₂ , M₈ , M₁₀ , the simplified term is $\bar B \bar D$

Therefore, the simplified expression is $\bar B \bar C$ + BD + $\bar B \bar D$