The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15)...

Question

Question

The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15)

a) Draw the K-map for the given function F.

b) What is the minimized SOP equation?

c) Give all input pairs in the form of WXYZ where a transition between them would create a timing hazard.

d) Draw the timing diagram showing the hazard for one of the cases. Assume ALL gate delays are equal.

e) Provide the expression of an equivalent logic function in which the timing hazard(s) is/are eliminated

Answer 1

Similar Homework Help Questions

The following logic function is given as a sum of minterms F(A,B,C,D) = Σ A,B,C,D(0,1,4,5,9,11,13,15) A)...

The following logic function is given as a sum of minterms F(A,B,C,D) = Σ A,B,C,D(0,1,4,5,9,11,13,15) A) Find out SOP for the function. B) List all the input pair(s) where we can observe a timing hazard from the K-map. C) Draw the timing hazard diagram for one of the input pair. Assume ALL gate delays are equal. Identify the timing hazard from the diagram. D) Write the expression of an equivalent logic function in which the timing hazard(s) is/are eliminated.
1. (8 points) Obtain a minimal SOP form for the boolean function f(x,y,z,w) implemented by logic...

1. (8 points) Obtain a minimal SOP form for the boolean function f(x,y,z,w) implemented by logic network below. Compare the gate count and number of gate inputs in your minimal SOP expression with those for the network below. f(x,y,z,w)
use a karnaugh map to minimize and draw the logic diagram f(w,x,y,z)=w',x',y',z'+wxy'z'+wxyz=w'xyz'+wxyz'

use a karnaugh map to minimize and draw the logic diagram f(w,x,y,z)=w',x',y',z'+wxy'z'+wxyz=w'xyz'+wxyz'

how to draw a logic gate 4. For the Boolean function E and F, as given...

how to draw a logic gate 4. For the Boolean function E and F, as given in the follow X Y Z E F 0 0 0 0 0 0 0 0 0 0 Express E and F in sum-of-minterms algebraic form.
please help me this. . Given the follow Karnaugh map find the minimized function F(x,y,z,w): (20...

please help me this. . Given the follow Karnaugh map find the minimized function F(x,y,z,w): (20 points) ZW 1 1 ху 1 1 1 1 1 1 F(x,y,z,w) =
I would like to know if the SOP function f(v,w,x,y,z)=(x+z)(w+y)(!w+x+!y)(!y+z+!v) and The Quartus II obtained function...

I would like to know if the SOP function f(v,w,x,y,z)=(x+z)(w+y)(!w+x+!y)(!y+z+!v) and The Quartus II obtained function F(v,w,x,y,z)=(v((!x(z(!w xor (!y))))+(x((!y(w))+(y((z)))))))+(!v((!x(z(!w xor (!y))))+(x(((y))+(w))))) for the above SOP are equivalent?

Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write...

Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write the truth table of F. B) Draw the K-map for F. C) Using the K-map, write the fully simplified Sum-Of-Products expression for F. D) Write the fully simplified product-of-sums expression for F
I need help with this Logic circuit problem. Problem #2 Given the logic function F(a,b,c) cabctab'c'+a'c'c'tabb'...

I need help with this Logic circuit problem. Problem #2 Given the logic function F(a,b,c) cabctab'c'+a'c'c'tabb' a) Normalize the product terms and write the function again. Answer: F(a,b,c) b) Find a minimal SOP expression using a Karnaugh Map Answer: F(a,b,c) c) Based on the result of the previous part find an expression that minimizes the discrete gate count using gates of any kinod. Answer: Fla,b,c)- d) Find a minimal POS expression using a Karnaugh Map Answer: F(a,b,c)
Q3: 1. For the Boolean function shown below, answer the questions F(W,X,Y,Z) = 11 (6,8,9,10,11,12,13) use...

Q3: 1. For the Boolean function shown below, answer the questions F(W,X,Y,Z) = 11 (6,8,9,10,11,12,13) use K-MAP to: • Derive the BF as SOP. • Derive the BF as POS. • Find All prime implicants of the BF. • Determine the Essential prime implicant(s). 2. Let the BF change to have don't care condition as: F(W,X,Y,Z) = 1,3,7,11,15 + de E(0.2,5) Derive the BF as SOP and POS.

Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the...

Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the logic diagram using the original Boolean expression (c) Simplify the expression (using any method you know) (d) Draw the logic diagram for the simplified expression.