Question

In: Computer Science

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

QUESTION 1

  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

  1. 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

  1. 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

  1. 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

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

A.

4 (correct)

B.

2

C.

1

D.

3

10 points   

QUESTION 6

  1. 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

  1. 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

  1. 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

  1. 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

  1. 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 1 year ago
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