17. Given the function f(x, y, z) and the expression xyz + x(!z) + (!y)z, how many minterms are in the expression.
ans) c) 1
Because Minterm is a product of all the variables in the function. So xyz is only minterm in the expression.
18.
Given the FSM above, what is Q?
ans) a) q0, q1, q2, q3
Because Q represents the Finite set of states in FSM.
please answer all Canvas Question 17 2 pts Given the function f(x,y,z) and the expression xyz...
17. Given f(x, y, z) = x^yz -- xyz', P(2,-1,1) and vector v =<1,0,1 >. Find i. the directional derivative of the function at the point P in the direction of v. ii. the maximum rate of change of f.
Question 22 4 pts Find the sum-of-prime-implicants form of the following Boolean expression: xy +2'z+yz' + xyz xy + xz+y O xy + y2 + 2 OX'z+y+z' O2 + y + 2 None of the above.
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.
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
8Two vector fields are given: F(x,y,z) - (esin(yz), ze* cos(yz), ye* cos(yz)) and F(x,y,z) = (z cos y, xz sin y, x cos y). a) Determine which vector field above is conservative. Justify. Foly = fjol so, <ea sin(J2), 20% cos(82), y acos (92)) Conservative. b) For the vector field that is conservative, find a function f such that F - Vf. Lxelsing2, zetos yea, yet cosy 2 c) Use the Fundamental Theorem of Line Integrals to find the work...
This diagram is a simplification of function : -(x+2)+(7+2)+(X+Y+Z) O F-X2)*(Y2)+(XYZ) F-(X+ZXY +2XX+Y+Z) P-XZXYZXX *Y+2)
Use the gradient rules to find the gradient of the given function, f(x,y,z) = x+yz y+xz Choose the correct answer below. 1 O A. Vf(x,y,z) = -((1-z?)z(z2 - 1).y? - x?) (y + xz)? OB. Vf(x,y,z) = (z(1-z?)y(z? - 1),z2 + x2) (x + yz)? O c. Vf(x,y,z) = (y(1+z2),x(z? + 1).y? - z?) (x + yz)? OD. Vf(x,y,z) = -(y (1-2²), x(2² - 1), y² - x²) (y + xz)2
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...
2. Simplify the function F(x, y,z) - y +xyz+ xyz using a three-variable map.
Question 10 5 pts Which of the following expression is the correct minimum SOP (Sum-of-Products) expression of the function F shown in the truth table below? X 2 F y 0 0 0 2 1 0 0 0 0 0 0 0 1 شما 0 1 1 1 0 2 5 6 7 0 0 0 1 1 1 0 1 1 1 1 1 Yz' + x2 + xy yz' + x2 yz + xy yz + xy+ xy'z...