answer 2.55
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answer 2.56
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2.55 Minimize the following functions using the Quine--McCluskey method. (a) f(A,B,C,D) = m(0,2,4,5,7,9,11,12) (b) f(A,B,C,D,E) =...
show work Problem 4 For the following function, find the minimum sum-of-products solution, using the Quine-McCluskey method: Ma, b, c, d)-m(1, 3, 4, 5,6, 7, 10, 12, 13) 2,9,15) Problem 4 For the following function, find the minimum sum-of-products solution, using the Quine-McCluskey method: Ma, b, c, d)-m(1, 3, 4, 5,6, 7, 10, 12, 13) 2,9,15)
2. Minimize the function F(a,b,c,d) = m(0,2,6,10,11,13,15) + d(1,4) (d=don't cares) using both the K- map and the Quine McClusky tabular methods. a. On your K-map, first mark all pairs of 1s, then groups of 4. From your K-map, determine which prime implicants are essential & list them. b. How many pairs of 1s does the Quine McClusky process generate? Are they the same pairs you found on your K-map? Which prime implicants does Quine McClusky produce? Are they the...
Using the Quine-McCluskey method, find all minimum product of sums expressions for the following function: 5. AA, B, C, D)- m(0, 1, 2, 3, 4, 8, 9, 10, 11, 19, 21, 22, 23,27,28, 29, 30) Using the Quine-McCluskey method, find all minimum product of sums expressions for the following function: 5. AA, B, C, D)- m(0, 1, 2, 3, 4, 8, 9, 10, 11, 19, 21, 22, 23,27,28, 29, 30)
Using a prime implicant chart, find all minimum sum-of-products solutions for each of the functions given in Problem below Q. For each of the following functions, find all of the prime implicants using the Quine- McCluskey method. (a) f(a, b, c, d) = Σ m(0, 3, 4, 5, 7, 9, 11, 13) (b) f(a, b, c, d) = Σ m(2, 4, 5, 6, 9, 10, 11, 12, 13, 15)
2. This question has two related parts 2.a) and 2.b). 2.a) Use the Quine McCluskey minimization method to find the minimal SOP for the following function: f(a, b, c) = m(0,2,6) 2.b) Find the ALL NAND representation of the minimized expression of f resulted from part 2.a). B IV A - - I E3 X X DE
For the function, F = Σ m (0,4,5,7,8,11,12) Use Quine McClusky’s method to simplify function F and implement the function using basic building blocks
5. Minimize the following Boolean functions into sum-of-products form using a K-map (b) F(a,b,c,d) = P(0,2,3,4,6,8,14,15) Letter P mean the Sum (d) F(a,b,c,d) = Q(3,4,5,6,7,9,11,12,13,14) Letter Q mean Pi
Minimize the following function containing don’t cares using K-Maps and design the minimized circuit using NOR gates. F(A,B,C,D,E) = ∏M (0,5,6,9,21,28,31) . ∑d (2,12,13,14,15,25,26)
digital logic design 1. (15 points) Minimize the following function using the K-map. f(A,B,C,D) = m(0,1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
The steepest descent method for minimize f(x) is the gradient descent method using exact line search, that is, the step size of the kth iteration is chosen as ak = argmin f(xk – aVf(xk)). a>0 (a) (3 points) Consider the objective function f(x): = *Ax – cx+d, where A e Rnxn, CER”, d E R are given. Assume that A is symmetric positive definite and, at xk, Vf(xk) + 0. Give a formula of ak in terms xk, A, c,...