Question

Write the POS form of the function: step by step until you reach

the response
(A+B)(C+D)(Aˉ+B+D)

Answer 1

To write the function in POS form, we need to expand the brackets, multiply the expanded brackets, and apply the distributive property.

Step-by-step explanation:

The given expression is (A+B)(C+D)(Aˉ+B+D).

To write the expression in the POS form (Product of Sums), we need to:

1. Expand each bracket to get:

• (A+B) = A+B
• (C+D) = C+D
• (Aˉ+B+D) = A'BD+B+D

Multiply the expanded brackets to get:

• (A+B)(C+D)(Aˉ+B+D) = (A+B)(C+D)(A'BD+B+D)

Apply the distributive property to simplify:

• (A+B)(C+D)(A'BD+B+D) = (A+C)(A+D)(A'BD+B+D)