drop_3.docx

Complete the following questions

 

True/False

Indicate whether the statement is true or false.

 

1. An expression formed by ORing the minterms of a function is the Sum of Products form.

2. Subtraction is commutative.

3. (a + b) + c = a + (b + c) shows that addition is associative.

4. x + x y = x

Multiple Choice

Identify the choice that best completes the statement or answers the question.

 

5.   A product term in a Boolean expression where all variables appear once in true or compliment form is a ____.

a.

maxterm

c.

DeMorgan

b.

minterm

d.

sum term

 

 

6.  Which Boolean algebra property allows us to group operands in an expression in any order without affecting the results of the operation [for example, (A+B)+C = A+(B+C)]?

a.

Associative

c.

Boolean

b.

Commutative

d.

Distributive

Numeric Response Figure 3.7a 

https://angel.grantham.edu/AngelUploads/Files/f0da6317-83ea-4e1f-a5dc-6a1e7cca6992/10-19-2010%202-03-07%20PM.png
  7. Given A = 0, B = 0, C = 1, and D = 1 in Figure 3.7a, find Y. 

 

https://angel.grantham.edu/AngelUploads/Files/f0da6317-83ea-4e1f-a5dc-6a1e7cca6992/10-19-2010%202-05-02%20PM.png
  Figure 3.7b 8. The output of Figure 3.7b given A = 0, B = 0, C = 1 and D = 1 is ____________________.

https://angel.grantham.edu/AngelUploads/Files/f0da6317-83ea-4e1f-a5dc-6a1e7cca6992/10-19-2010%202-06-14%20PM.png

Figure 3.8 9. The output of Figure 3.8 given A = 1, B = 0 and C = 0 is ____________________.

 

Problem

 

10.  Using Boolean algebra, find the most simplified SOP expression for Q given Q = A'BC' + A'BC + A' B' C + A'C.