Question

Simplify the following expression

BD'+AB' CD+AC' D+BC'

to:

Sum-of-products

Answer 1

To simplify the given expression into a sum-of-products form, we break it down into individual terms and factor out common variables.

Step-by-step explanation:

To simplify the expression BD'+AB' CD+AC' D+BC', we need to apply the sum-of-products method. We can break down the expression into individual terms and factor out common variables. Here's how:

• BD' + AB'CD + AC'D + BC'
• We factor out D in the first term: D(B' + AC')
• In the second term, we can factor out B' from both terms: B'(AD + CD)
• Similarly, we can factor out C in the third term: C(A' + BD')
• Finally, in the last term, we can factor out B: B(C + C')

Putting it all together, the simplified expression is: D(B' + AC') + B'(AD + CD) + C(A' + BD') + B(C + C')