18. The minimum SOP of F(w,x, y, z)- 20,3,4,5,8,10,11,13,15) has a literal cost of (a) 9...
7. The literal cost of minimum Hazard-Free POS of F(w, x, y, z) = ∑(1,3,4,5,,8,10,11,12) is a. 12 b. 14 c. 18 d. 22 e. 24 A JKFF, initially at Q = 1, is fed with the following inputs for the next 3 clock cycles JK = 11, 10, 01 (time advances from left to right). The state progression for this period is Q= a. 010 b. 011 c. 101 d. 110 e. 000 A JKFF, initially at Q =...
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?
3.41 Given the circuit below, find the minimum SOP expression for f(W,X,Y,Z). 4-10-16 Decoder 1 NO ZA ܩܘܩܩܩܩܩܩܩܩܩܩܩܩܩܩ
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)
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...
Q31 For the figure shown below W is an input, (X, Y and Z) are connected to (S2, S and So), find the Boolean function F (W, X, Y, Z) in SOP and implement it use: 1. Multiplexer: One-piece (4 to 1) and external gates (W, X are selectors). 2. Decoder: Five (2 to 4) with AND gate. 0 1 8 to 1 MUX Do D, F OP D, S S S 35 Marks] X Y Z Q31 For the...
Use Lagrange multiplier to determine the maximum and minimum values of (f,x,y,z) = x^2 +y^2 +z^2 subject to xyz=4 Detailed solution please. Thank you! 20. Use Lagrange Multiplier to determine the maximum and minimum values of f(x, y, z)-x2 + y2 +12 subject to 20. Use Lagrange Multiplier to determine the maximum and minimum values of f(x, y, z)-x2 + y2 +12 subject to
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.
Simplify the following Boolean functions using four-variable maps: F(w, x, y, z) = Σ (1, 4, 5, 6, 12, 14, 15) F(w, x, y, z) = Π (0, 1, 4, 5, 6, 7, 8, 9) AB’C + B’C’D’ + BCD + ACD’ + A’B’C+ A’BC’D (A xor B)’ (C xor D)
17. For f(x, y)=e***+y)? of Ox? XZ of 18. For f(x, y, z)= =? y + z oz 19. For f(x, y, z) = cos’ (3x – y’) – x’ tanz, ar ax of = ? 20. For S(x, y) = x cos y + ye", дхду