27. For the collector-feedback configuration of Fig. 4.129, determine: а. Iв. b. Ic. с. Vс. +16 V 3.6 k2 270 k2 Ic IB B = 120 1.2 k2 FIG. 4.129 Problems 27, 28, 74, and 78.

In Problems 1 to 4, convert the denary numbers given to binary numbers. 1. (a) 5(b) 15 (c) 19 (d) 29 2. (a) 31 (b) 42 (c) 57 (d) 63 3. (a) 0.25 (b) 0.21875(c) 0.28125 (d) 0.59375 4. (a) 47.40625 (b) 30.8125(c) 53.90625 (d) 61.65625

Using MATLAB functions poly and polyder, compute the relative condition numbers of the roots 1, 2, ..., 20 of the Wilkinson polynomial 20 w(x) = (x1)(x-2)(x - 20) = x²0 210x¹⁹+... 19 with respect to perturbation of the coefficient of 2x¹⁹, a19, from -210 to -210+2-23 Present your results in a tabular form and write your conclusion on the ill-conditioninig of the Wilkinson polynomial. (Recall: condition number for the jth root is kj |a₁x²=1| \w'(x₂)

PROBLEM 24 - 0586: A free harmonic oscillator (FHO) is a system whose behavior can be described by a second- order, linear differential equation of the form: = -Ay(t) (1) where A is a positive constant. Two FHO systems are a spring-mass system and an LC electric circuit: Y=dy/dt y(t) Spring- x- FHO V displacement =velocit q-charge in coulombs mass LC i circuit =curren in ampere Given the initial conditions y(0) = %3D Yo and y(0) = Zo , write a FORTRAN program that uses the modified Euler method to simulate this system from t = 0 to t %3D = tf . LINEAR SPRING OF STIFFNESS K C INDUCTOR CAPACITOR (HENRYS) 1 IM MASS (FARADS)

B. Find the transfer function, find- Vo(s) Vi(s) vi(t)(± 2L 0000 for the electrical circuit shown in Figure 2. www-0000 2R 2R 2L vo(t)

Question

Question 1 Derive the minimized Boolean equation for the function F shown in the K-map below. Draw the logic diagram using NAND gates only. 00 01 11 10 АВ 1 00 1 01 X X 1 1 11 X 10 Question 2 Prove that A (B+C) = (A B) + (A C) Monday, December 28, 2020 10:20:38 PM AST

2. Given the following circuit: R1 R2 R3 30 60 V1 V2 V3 -2V -4V 6V For circuit above, solve for the current through resistor R1 and the power dissipated by R1 Using the following methods of analysis: (1) Mesh Analysis (2) Nodal Analysis (3) Superposition (4) Thevenin's Theorem (5) Norton's Theorem