Question

1. Consider the Boolean function F(x, y) = x + y, how many cells in the Kmap representing this function have value of “1”?

	A.	3
	B.	2
	C.	4
	D.	1

2.Using Kmap for simplification, we can select multiple smaller groups (instead of a larger group) as long as all “1” are selected.

A.	False
B.	True

3 In Kmap representation, how many values of “0” and “1” two neighboring minterms can differ?2. Using Kmap for simplification, we can select multiple smaller groups (instead of a larger group) as long as all “1” are selected.

	A.	1
	B.	2
	C.	3
	D.	Depend on the number of variables

4. Consider the Boolean function F(x, y) = x’y’ + xy, the minterm x’y’ represents the input pair _________________.

	A.	(x, y) = (0, 0)
	B.	(x, y) = (1,1)
	C.	(x, y) = (0, 1)
	D.	(x, y ) = (1, 0)

5. Using Kmap for simplification, number of elements grouped must be _________________.

A.	Power of 2
B.	Even numbers
C.	Any number as long as it simplifies the given Boolean function
D.	All of these

6. Consider the Boolean function F(x, y) = xy, how many cells in the Kmap representing this function have value of “1”?

	A.	1
	B.	2
	C.	3
	D.	4

7. Using Kmap for simplification, groups can contain both “0” and “1” as long as they simplify the given function.

	A.	False
	B.	True

8. Minterm is to indicate a product term includes

A.	all of the variables exactly once
B.	minimum presentation of a Boolean function
C.	minimum term of Boolean operation
D.	only variables with value of “1”

9. Consider a Boolean function consisting of 4 variables, is it correct to say two cells in the upper right and lower left corners of the Kmap will never be grouped?

A.	False
B.	True

Answer 1

1. A. 3

2. False

Explanation: In a K map, it is always mandatory to select larger group of 1s.

4. A. (x, y) = (0, 0)

5. A. Power of 2

6. A. 1

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