Find the minimum cost SOP expression for the function
F(w, x, y, z)=∏M(2, 3, 6, 8,...
Find the minimum cost SOP expression for the function
F(w, x, y, z)=∏M(2, 3, 6, 8, 9, 11, 12,
13) using k-map. Write also all prime implicants and essential
prime implicants.
Given function f(x,y,z)=x^(2)+2*y^(2)+z^(2), subject to two
constraints x+y+z=6 and x-2*y+z=0. find the extreme value of
f(x,y,z) and determine whether it is maximum of minimum.
Find the absolute maximum and the absolute minimum of
the function f(x,y) = 6 - x² - y² over the region R = {(x,y) | -2
<= x <= 2, -1 <= y <= 1 }. Also mention the points at
which the maximum and minimum will occur.
Find the maximum and minimum values of the function
f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and
x+y−z=9. Maximum value is Maximum value is , occuring at
( , , ). Minimum value is , occuring at ( , ,
).
The following logic function is given as a sum of minterms
F(W,X,Y,Z) = ∑W,X,Y,Z(7,8,10,11,13) + D(5, 9, 15). (25
points)
a) Draw the K-Map and find the minimal sum-of-products expression
for this function.
b) Draw the circuit implementing this expression
c) Give all input pair or pairs where transition between them
would create a timing hazard
d) Draw the timing diagram showing the glitch corresponding to
the pair or one of the pairs. Assume ALL gate delays are equal
e)...
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.