Question

Logic Design:

1. Find the Product of Sums a. AB + C’D’

2. b. A + BC + DE

   c. A’B’C’ + A’D’ + ABC’ + AD

Answer 1

a. AB + C’D’
= (AB)' (C'D')'
= (A' + B') (C + D)

b. A + BC + DE
= (A)' (BC)' (DE)'
= (A') (B' + C') (D' + E')

c. A’B’C’ + A’D’ + ABC’ + AD
= (A’B’C’)' (A’D’)' (ABC’)' (AD)'
= (A + B + C) (A + D) (A' + B' + C) (A' + D')

All of above are based on De-Morgan's Law:

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