DELMAR'S STANDARD TEXT OF ELECTRICITY
DELMAR'S STANDARD TEXT OF ELECTRICITY
6th Edition
ISBN: 9780357323380
Author: Herman
Publisher: CENGAGE C
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1. Compute the output signals S and T for the circuit. Input signals P = 1, Q = 1, and R = 1. C₁ P half-adder #1 R AND -S C₁₂ half-adder #2 2. Use 8-bit representations to compute the following sum. Show all work. 57+(-118) 3. Find a counterexample to show that the following statement is false: 1 Vx Є R, x>- χ T 4. Is the proposed negation correct? If yes, provide a sound reasoning. If not, provide a sound reasoning and write the correct negation. Statement: For all integers n, if n² is even then n is even. Negation: For all integers n, if n² is even then n is not even.
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2. (35 points) Use you program to investigative properties of a four step linear pathway. Just extend the model given in question 1 to include an additional two species x2 and x3. You can assume simple irreversible mass-action kinetic on each reaction. I recommend you use the following values for the rate constants: 1 = 0.6; k2 = 1.8; k3 = 0.5; k40.04. This will enable you to more easily answer the following questions. You can also assume that the input is the source X and you can set its value to one. You may find that the plot of the phase change at x3 is broken at -180 degrees because it wraps around. To avoid this you can use the method: phase = np.unwrap(phase) to make sure the phase plot is continuous. [10] i) Compute and show the Bode plots for x1, x2 and x3 with respect to the input Xo. [5] ii) Do you see a pattern with the maximum phase shifts as you move from x₁ to x3? [10] iii) Can you explain this pattern? [5] iv) What would you predict would be the maximum phase shift for…
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