Question

In: Computer Science

QUESTION 1 Consider the Boolean function F(x, y) = x + y, how many cells in...

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

10 points

QUESTION 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

10 points

QUESTION 3

In Kmap representation, how many values of “0” and “1” two neighboring minterms can differ?

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

10 points

QUESTION 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)

10 points

QUESTION 5

Consider two input variables x and y, how many minterms exist?

	A.	4 (correct)
	B.	2
	C.	1
	D.	3

10 points

QUESTION 6

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

10 points

QUESTION 7

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

10 points

QUESTION 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”

10 points

QUESTION 9

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

	A.	False
	B.	True

10 points

QUESTION 10

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

Solutions

Expert Solution

QUESTION 1
Consider the Boolean function F(x, y) = x + y, how many cells in the Kmap representing this function have value of “1”?
Answer: A. 3

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

QUESTION 3
In Kmap representation, how many values of “0” and “1” two neighboring minterms can differ?
Answer: A. 1

QUESTION 4
Consider the Boolean function F(x, y) = x’y’ + xy, the minterm x’y’ represents the input pair _________________.
Answer: A. (x, y) = (0, 0)

QUESTION 5
Consider two input variables x and y, how many minterms exist?
Answer: A. 4 (correct)

QUESTION 6
Using Kmap for simplification, number of elements grouped must be _________________.
Answer: A. Power of 2

QUESTION 7
Consider the Boolean function F(x, y) = xy, how many cells in the Kmap representing this function have value of “1”?
Answer: A. 1

QUESTION 8
Minterm is to indicate a product term includes
Answer: C. minimum term of Boolean operation

QUESTION 9
Using Kmap for simplification, groups can contain both “0” and “1” as long as they simplify the given function.
Answer: A. False
 

QUESTION 10
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?
Answer: B. True

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venereology answered 10 months ago

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