Question: For the Boolean function F ( w , x , y , z ) = w ' xy + w ' yz + wy '

For the Boolean function
F(w,x,y,z)=w'xy+w'yz+wy'z+w'y'z+xy
1. Obtain the truth table of F.
2. Draw the logic diagram, using the original Boolean expression.
3. Use Boolean algebra to simplify the function to a minimum number of literals.
4. Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a).
5. Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Q:

Do the following two parts: (a) Find the sum-of-products expansion of the Boolean function F (w, x, y, z) that has the value 1 if and only if an odd number of w, x, y, and z have the value 1. (b)...

Q:

To do this question, you have to use K-map method. Please show all your work, all steps. I need a clear explanation so I can understand it. Simplify the Boolean function F (W, x, y, z) - 2(0, 1, 2,...

Q:

The input / output table for the Boolean function F is x y z F ( x , y , z ) 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 a ) Find the sum - of - products expansion for F . xy z +...

Q:

p please solve 5,8,and 10 Simplify the following function into minimal sum-of products (SOP) form: F(W, X, Y, Z) = Product M (0, 1, 2, 4, 5, 6, 8, 9, 10) Simplify the function in Problem 1 into a...

Q:

mplement the Boolean function F ( w , x , y , z ) = \ Sigma ( 0 , 3 , 4 , 6 , 9 , 1 2 , 1 4 ) with a 4 - to - 1 multiplexer and external gates. Connect inputs w and x to the selection lines. Express...

Q:

Using the KMap method, find the optimized "product of sums" expression for the following function: F (W, X, Y, Z) = ? (0, 1, 4, 5, 7, 9, 12, 13, 14, 15)

Q:

1. Construct a truth table for the following: a) Xyz + x(yz)' + x'(y+z) + (xyz)' b) (x+y)(x'+z')(y +z) 2. Simplify the following functional expression and list the identity used at each srep. a)...

Q:

17. [-/1 Points] DETAILS LARCALCET7 13.4.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the total differential. W = 7x+ y 4z - 2y dw= Need Help? Read It 18. [-/1 Points] DETAILS LARCALCET7...

Q:

1. Simplify the following Boolean functions, using K-maps (25 points) (a) F(x, y, z) = (1, 2, 3, 7) (b) F (x, y, z) = xy + yz + x yz (c) F(x, y, z) = x yz + xyz + xyz (d) F(A, B, C, D) =...

Q:

1. (1 point) Find all the first and second order partial derivatives of f (x, y) = 4 sin(2x + y) 10 cos(x y). A. xf = fx = B. yf = fy = 2 f = fxx = x2 2 f D. y2 = fyy = 2 f E. xy = fyx = 2 f F. yx =...

Q:

Does American culture help or hinder acceptance of foreign products? How?

Q:

Pietarsaari Oy, a Finnish company, produces cross-country ski poles that it sells for 32 a pair. (The Finnish unit of currency, the euro, is denoted by .) Operating at capacity, the company can...

Q:

Explain the primary purposes of financial statements ( Income Statement, Balance Sheet, and Cash Flow Statement ) in evaluating a company s performance and position. How do these statements...

Q:

Find the values of x, y and z. X=20 N 20 A