please help me this. . Given the follow Karnaugh map find the minimized function F(x,y,z,w): (20...
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'
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...
A contour map for a function z=f(x, y) is given: Answer the following questions: Question 1. A contour map for a function z S(z,y) is given: -2 k-1 k-1- k-2 Answer the following questions. (a) (1 point) What is f(-1,1)? (b) (2 points) Describe the set of all points (r, y) such that f(z,y) = 0. Which of the following graphs best represents the graph of this function? (c) (1 point) B. A. D. Question 1. A contour map for...
For the following Karnaugh map, select all the terms that make up the minimized function that is achieved in sum of products AB CD 00 01 11 10 00 1 0 0 1 01 1 1 X 1 11 1 х 0 1 10 1 0 1 X BC CD AB'C D C'D'
1. Find 8 different 2-level minimized circuits to realize each of the following functions. 1. F(W,X,Y,Z) = {m (2,4,6,7,12,14,15) 2. G(W,X,Y,Z) = (x + Y' + Z) (X' + Y + Z) W • Using algebraic techniques • Using network conversion
Given the function f : {w, x, y, z} 5 with ordering w < x < y < z and f = (4, 3, 5, 4). i. Identify each of the following: domain, codomain or range, image ii. Is f one-to-one? Explain. 1 iii. Is f onto? Explain.
Design a PLA that implements the followingthree boolean function A(w,x,y,z) = ?m(4, 5, 7, 12, 13, 15) B(w,x,y,z) = ?m(0, 1, 4, 5, 8, 9, 11, 12, 13, 15) C(w,x,y,z) = ?m(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14) a) Use Karnaugh Maps to optimal each function and its complement. b)Select the three optimal functions to use in the PLA. C)Optimize the equation(s) using Karnaugh Map(s). d.Draw the circuit (Don't forget the clock).
#3. (30 points) Given the following K- map for f(w, x, y. 2). Find an MPOS for f yz 01 10 0 0 11 wx 00 0
I Using K-Map minimize the function: f(x, y, z, w) = {(2, 4, 9, 15) + d(0, 1, 3, 6, 11,13) Do not use Boolean algebra. Use K-Maps.
Please help me solve this question, thank you! If the function z -f(x,y) has continuous second order partial derivatives f(x, y), fry (x,y)- fyr(r, ), fw(x, y), and if co 0, y sin 0, show that ух んyy