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


**************************************************

Thanks for your question. We try our best to help you with detailed answers, But in any case, if you need any modification or have a query/issue with respect to above answer, Please ask that in the comment section. We will surely try to address your query ASAP and resolve the issue.

Please consider providing a thumbs up to this question if it helps you. by Doing that, You will help other students, who are facing similar issue.

venereology answered 2 years ago
Next > < Previous

Related Solutions

Consider a function f(x) which satisfies the following properties: 1. f(x+y)=f(x) * f(y) 2. f(0) does...
Consider a function f(x) which satisfies the following properties: 1. f(x+y)=f(x) * f(y) 2. f(0) does not equal to 0 3. f'(0)=1 Then: a) Show that f(0)=1. (Hint: use the fact that 0+0=0) b) Show that f(x) does not equal to 0 for all x. (Hint: use y= -x with conditions (1) and (2) above.) c) Use the definition of the derivative to show that f'(x)=f(x) for all real numbers x d) let g(x) satisfy properties (1)-(3) above and let...
Consider the following function: f (x , y , z ) = x 2 + y...
Consider the following function: f (x , y , z ) = x 2 + y 2 + z 2 − x y − y z + x + z (a) This function has one critical point. Find it. (b) Compute the Hessian of f , and use it to determine whether the critical point is a local man, local min, or neither? (c) Is the critical point a global max, global min, or neither? Justify your answer.
1. (a) Throughout Question 1 part (a), let f be the function given by f(x, y)...
1. (a) Throughout Question 1 part (a), let f be the function given by f(x, y) = 6+x^3+y^3−3xy. (i) At the point (0, 1), in what direction does the function f have the largest directional derivative? (ii) Find the directional derivative of the function f at the point (0, 1) in the direction of the vector [3, 4] . (iii) The function f has critical points at (0, 0) and at (1, 1). Classify the natures of these critical points...
1.Consider the function: f(x, y) = 2020 + y3-3xy + x3. a) Find fx(x, y), and...
1.Consider the function: f(x, y) = 2020 + y3-3xy + x3. a) Find fx(x, y), and fye(x, y). b) Find all critical points of f(x, y). c) Classify the critical points of f(x, y) (as local max, local min, saddle). 2.Consider f(x) = 2x-x2and g(x) = x2 a) [2 points] Find the intersection points (if any) of the graphs of f(x) and g(x). b) [4 points] Graph the functions f(x) and g(x), and shade the region bounded by: f(x), g(x),...
Consider a continuous random vector (Y, X) with joint probability density function f(x, y) = 1...
Consider a continuous random vector (Y, X) with joint probability density function f(x, y) = 1                            for 0 < x < 1, x < y < x + 1. What is the marginal density of X and Y? Use this to compute Var(X) and Var(Y) Compute the expectation E[XY] Use the previous results to compute the correlation Corr (Y, X) Compute the third moment of Y, i.e., E[Y3]
Consider a continuous random vector (Y, X) with joint probability density function f(x, y) = 1...
Consider a continuous random vector (Y, X) with joint probability density function f(x, y) = 1 for 0 < x < 1, x < y < x + 1. A. What is the marginal density of X and Y ? Use this to compute Var(X) and Var(Y). B. Compute the expectation E[XY] C. Use the previous results to compute the correlation Corr(Y, X). D. Compute the third moment of Y , i.e., E[Y3].
How do you determine convexity/concavity of a function f(x,y)? How about a function f(x,y,z)?
How do you determine convexity/concavity of a function f(x,y)? How about a function f(x,y,z)?
On R2, consider the function f(x, y) = ( .5y, .5sinx). Show that f is a...
On R2, consider the function f(x, y) = ( .5y, .5sinx). Show that f is a strict contraction on R2. Is the Banach contraction principle applicable here? If so, how many fixed points are there? Can you guess the fixed point?
Consider the method of steepest descent for the function f(x, y) = x^2 − y^2 ....
Consider the method of steepest descent for the function f(x, y) = x^2 − y^2 . Note: this is a quadratic function, but the matrix Q is not positive definite. (a) Find a formula for α_k. (b) For which initial points (x0, y0) is (x1, y1) = (x0, y0)?
Consider the following production function: f(x,y)=x+y^0.5. If the input prices of x and y are wx...
Consider the following production function: f(x,y)=x+y^0.5. If the input prices of x and y are wx and wy respectively, then find out the combination of x and y that minimizes cost in order to produce output level q. Also find the cost function.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT