Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 15.4, Problem 4E
Program Plan Intro
To show the computation of the length of an LCS using
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3. Use the Karnaugh-Map to simplify the following expressions
F(A, B, C) = ABC + ABC + ABC + ABC + ABC
F(A,B,C,D) = A + AB + ABC + BCD + ACD
ii.
The current and voltage across a circuit element are given by the equations
I(t) = 20e 100t (mA), V(t) = 105e-1⁰⁰t (V)
Determine the total energy
E dissipated by the element
between t=0 and t=10ms. The instantaneous power dissipated by the
element is P(t) = 1(t)V (t). Find the total energy E by integrating P(t) over
the time interval from t=0 to t=10ms=0.01sec. To do so, use the function
trapez(fn, a, b, h), which implements the trapezoidal rule for numerical
integration and where fn is a function handle to a function that needs to be
integrated, a and b are the integral limits and h is the step length. Write in
Matlab the function that needs to be integrated and call function trapez with
appropriate parameters.
Implement the following function using NAND gate only:
a) F (D,C,B,A) =E (4,5,7,12,14,15), d (3,8,10)
b) Y (A,B,C,D) = [ (0,2,3,7), d (4,5)
%3D
Chapter 15 Solutions
Introduction to Algorithms
Ch. 15.1 - Prob. 1ECh. 15.1 - Prob. 2ECh. 15.1 - Prob. 3ECh. 15.1 - Prob. 4ECh. 15.1 - Prob. 5ECh. 15.2 - Prob. 1ECh. 15.2 - Prob. 2ECh. 15.2 - Prob. 3ECh. 15.2 - Prob. 4ECh. 15.2 - Prob. 5E
Ch. 15.2 - Prob. 6ECh. 15.3 - Prob. 1ECh. 15.3 - Prob. 2ECh. 15.3 - Prob. 3ECh. 15.3 - Prob. 4ECh. 15.3 - Prob. 5ECh. 15.3 - Prob. 6ECh. 15.4 - Prob. 1ECh. 15.4 - Prob. 2ECh. 15.4 - Prob. 3ECh. 15.4 - Prob. 4ECh. 15.4 - Prob. 5ECh. 15.4 - Prob. 6ECh. 15.5 - Prob. 1ECh. 15.5 - Prob. 2ECh. 15.5 - Prob. 3ECh. 15.5 - Prob. 4ECh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12P
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- 2. A four-bar mechanism show in figure, so call drag-link mechanism. Write the Python program to plot path of point P for 0, = 0° to 180°. Given: AD= 2.5 cm AB = 5 cm, BP = 10 cm, BC = CD = 7.5 cm. 3 Boarrow_forwardProblem 2: Using KMaps, find the simplest POS expression of F= Ew,x,Y.z(0, 1, 6, 7, 8, 9, 14, 15).arrow_forwardConstruct and plot the following functions: (x) = sin xcos (x) r'+3x+1 Isxs3 a. (Consider step size of 0.02) b. y(x)=x}x|, -10sxs10 (Consider step size of 0.1)arrow_forward
- Use a Karnaugh map to minimize the following standard POS expression: F = (A+B+C)(A+ B+ C)(A+B+C)(A+B+C)(A + B+C)arrow_forwardUse Karnaugh map to simplify the following Boolean expression : F(a, b, c, d, e) = II m (0, 2, 6, 8, 12, 14, 16, 18, 26) + d (4, 9, 10, 24)arrow_forward10. Construct a circuit for (~P^~Q) v (~P^Q)arrow_forward
- Simplify the following expression using K-map: F(A,B,C,D) = (1,5,6, 11,13,14) +0,3,15) dcarrow_forwardSimplify the following Boolean using K map. Draw the simplified circuit. F(A,B,C,D) = n(1,3,5,7,13,15)arrow_forwarddraw 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)arrow_forward
- 6. Reduce the function specified in the truth table in figure below to its minimum SOP form by using K-map. A B 1 1 1 Ans: B+C 1 1 1 1 1 1 1 1 1 1 1 1 1arrow_forwardPlease derive the below formula (Ridge Regularization). 1 = arg min – ||X w – y |3 + a|| W 2:d ||} w n * w = (w1, w2, . ., wd) ..... ...... Ew = w_2:d (w2, w3, .. , wd)arrow_forwardThe minimum POS for F(A,B,C,D)= M(0, 1, 2, 11, 15) ID(3, 4, 5, 7, 13) is: O (A+C)(A' + D') O (A + B)(C+D')(A' + D') O (A' + B')(C+ D) O (A + B)(C' + D') O none of thesearrow_forward
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