Let f(w, x, y, z) = Q M(4, 9, 12, 13, 14) and d(w, x, y, z) = P m(5, 6, 11, 15). {[d(w, x, y, z) defines the don’t care conditions of f}. (a) (10pts) Find the minimal SOP of f. (b) (10pts) Find the minimal POS of f. (c) (20pts) Design a circuit from the minimal SOP of f. The circuit should contain only NAND gates
Security E(r) Standard Deviation W 8% 12% X 12% 12% Y 12% 20% Z 14% 20% Which of the above is not true for all risk averse investors? a. X is preferred to W b. Y is preferred to W c. X is preferred to Y d. Z is preferred to Y e. Cannot tell with information given.
Number Theory
13 and 14 please!
13)) Let n E N, and let ā, x, y E Zn. Prove that if ā + x = ā + y, then x-y. 14. In this exercise, you will prove that the additive inverse of any element of Z, is unique. (In fact, this is true not only in Z, but in any ring, as we prove in the Appendix on the Student Companion Website.) Let n E N, and let aE Z...
Select the Boolean expression that is not satisfiable. 3 (z+u)(z+x)(z+x")(u+y)(u+y) (z+u")(z+x)(z+x)(u+y)(u+y) (zº+u)(z+x)(z+x")(u+y)(u+y") (z+u")(z+x)(z+x")(u+y)(u+y") 6 a Question 13 (1 point) Select the statement that is not a proposition. 12 5+4 = 8 It will be sunny tomorrow. 15 Take out the trash. 7 18 Chocolate is the best flavor. 20 21 Question 14 (1 point) p = T. q = F, and r = F. Select the expression that evaluates to true. 23 24 Срла -р avr
14. find surface area of S { (x,y,z) | x-3cost y-3sint z-z
14. find surface area of S { (x,y,z) | x-3cost y-3sint z-z
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).
14. + -13 points SCalc8 14.6.032. 0115 Submissions Used The temperature at a point (x, y, z) is given by T(x, y, z) - 300e-x2 - 3y2 -722 where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature at the point P(4, -1, 2) in the direction towards the point (6, -4, 3) °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate...
If A, B, Cand D are TRUE and X, Y, Z andW are FALSE, what is the truth value of the following statements: T 9 "ID v (B Y)1 v [ (D v B) ( v Y) V ~[TVCF)コV [CT). CF)] LTVCE 10. (A E (W Z)) I(C v Y) (A X)1) 11. D v (Wv X)] v [(A v W) v (D X) 12. [(A X) Y] [(X A) (D W) 13. [A X) v (~C ~Z)] [(C W)...
What is the output of the combinatorial circuit? A. x*y *z+x* y*-z B. (x)(x+y+z) C. x*y* z+x *y* z D. (x+ y +Z)*(x+ y z) E. x*y* z*x *y*z
What is the output of the combinatorial circuit? A. x*y *z+x* y*-z B. (x)(x+y+z) C. x*y* z+x *y* z D. (x+ y +Z)*(x+ y z) E. x*y* z*x *y*z
Implement the Boolean function F(w,x,y,z) = Σm(3, 4, 5, 1 1, 12, 13, 14, 15) using a minimum number of NAND gates only. Write the minimal logic expression (no need to draw the circuit).