Drop
highprofili12p
drop_3.docxComplete 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
7. Given A = 0, B = 0, C = 1, and D = 1 in Figure 3.7a, find Y.
Figure 3.7b
8. The output of Figure 3.7b given A = 0, B = 0, C = 1 and D = 1 is ____________________.
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.
