Question

Select the equation that represents the simplest sop form of . again simplest sop a) (A+B)(C+D)

b) AB+CD
c) A+BC+D
d) (A+B)(C+D)+AC

Answer 1

The simplest SOP form represents a Boolean expression as a sum of products. The simplest SOP form among the given options is AB+CD.

Step-by-step explanation:

The simplest SOP (Sum of Products) form represents a Boolean expression as a sum of products. To determine the simplest SOP form among the given options, we need to check which option has the fewest number of literals, where literals are individual variables or their negations.

Looking at the given options:

• a) (A+B)(C+D) has 4 literals: A, B, C, and D.
• b) AB+CD has 4 literals: A, B, C, and D.
• c) A+BC+D has 5 literals: A, B, C, and D.
• d) (A+B)(C+D)+AC has 5 literals: A, B, C, and D.

Therefore, the simplest SOP form among the given options is b) AB+CD with 4 literals: A, B, C, and D.