Question

How to find the minimum sum of products with terms and literals given?

a. Use the distributive property
b. Apply Boolean algebra laws
c. Factor the expression
d. Add the terms

Answer 1

To find the minimum sum of products with terms and literals, use the distributive property and Boolean algebra laws to simplify the expression. Then factor the expression and add the terms together. For example, (A + B)(C + D) can be simplified to (A + B)(C + D) as the minimum sum of products.

Step-by-step explanation:

To find the minimum sum of products with terms and literals, you can use a combination of the distributive property and Boolean algebra laws.

1. Start by applying the distributive property to the expression. This involves multiplying each term inside the parentheses by the terms outside the parentheses.
2. Next, use Boolean algebra laws to simplify the expression further. These laws include the commutative, associative, and distributive properties of multiplication and addition.
3. Factor the expression by identifying common terms or literals and combining them.
4. Finally, add the terms together to find the minimum sum of products.

For example, let's say the expression is (A + B)(C + D). Using the distributive property, we get AC + AD + BC + BD. Applying Boolean algebra laws, we can combine similar terms to get (A + B)(C + D) as the minimum sum of products.