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- Simplify the following Boolean functions using four-variable K-maps: C: F(w,x,y,z)=sum (1,3,4,5,6,7,9,11,13,15)1. Determine the determinant and Solve for Value of w, x, y, z Given: w – 12x +13y – 7z = 232w + 15x + 16y + 12z = 19 4w – 10x + y + 17z = 24 3w + 2x – 3y + 2z = 14*THIS IS MATLABGiven four 2D points a0, a1, b0, and b1, design a robust procedure to determine whether the line segments a0a1 and b0b1 intersect.
- draw the kmap and find the POS and SOP of the following minterms: F(V,W,X,Y,Z) = Σm(0,2,4,6,7,8,10,11,12,13,14,16,18,19,29,30)Using Kmaps, determine all the minimal sums and minimal products for the following functions: F(w,x,y,z) = ∑m(6,7,9,10,13) + dc(1,4,5,11,15) F(w,x,y,z) = ∑m(1,2,3,4,6,9,12,14)+dc(5,7,15) F(w,x,y,z) = ∏M(0,2,3,5,6,9,10,11,13) F(w,x,y,z) = wx + y’z + wx’y’ + w’xyz F(w,x,y,z) = (w+x’)(w+y+z)(w’+x’+z’)(w+y’+z)(3a) Compute the stability function S of the Rosenbrock method (108), that is, compute the (rational) function S(z), such that y1 = S(z)y0, z ∶= hλ, when we apply the method to perform one step of size h, starting from y0, of the linear scalar model ODE y˙ = λy, λ ∈ C
- Please explain, as simplistically (but thoroughly) as possible, how to develop a k-map from a truth table to be used to simplify an equation.Examples: xz + (xy + ~z) ~xyz + yz + x~yneed proper solution with complate explainationSimplify the following Boolean functions, using K-maps: F (A, B, C, D)=?(1,3,6,9,11,12,14)
- In each case below, show using the pumping lemma that the givenlanguage is not a CFL.e. L = {x ∈ {a, b, c}∗ | na(x) = max {nb(x), nc(x)}}Here is the Berkeley Madonna code: {Top model} {Reservoirs} d/dt (Q) = + Stimulus - Imemb INIT Q = -65/cap {Flows} Stimulus = Intensity*SquarePulse(3,.5) {at t=3 of 0.5 duration} Imemb = IL+IK+INa {Functions} Intensity = 100 {microamps} cap = 1 E = Q/cap {Submodel "INa_"} {Functions} ENa = 50 INa = gNa*(E-ENa) GNaMax = 120 gNa = GNaMax*m*m*m*h {Submodel "m_gates"} {Reservoirs} d/dt (m) = + m_prod - m_decay INIT m = am/(am+bm) {Flows} m_prod = am*(1-m) m_decay = bm*m {Functions} am = 0.1*(E+40)/(1-exp(-(E+40)/10)) bm = 4*exp(-(E+65)/18) {Submodel "h_gates"} {Reservoirs} d/dt (h) = + h_prod - h_decay INIT h = ah/(ah+bh) {Flows} h_prod = ah*(1-h) h_decay = bh*h {Functions} ah = 0.07*exp(-(E+65)/20) bh =…Simplify the following Boolean functions, using Karnaugh maps: a. ?(?, ?, ?,?) = ∑(1,5,9,12,13,15)