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Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. F_a...
Question 4. (a) Find the minimum sum-of-products expression for each of the functions below using Karnaugh maps i) F = EA,B,C,D(2, 3, 6, 7, 12, 13, 14) (Note: the numbers in the brackets correspond to positions in the Karnaugh map where F takes the logic value 1, ie F = 1 when ABCD = 0010, 0011, 0110, etc). ii) F = []w.x,y,z(0, 2, 6, 7, 8, 14, 15) (Note: the numbers in the brackets correspond to positions in the Karnaugh...
Use Karnaugh maps to simplify the following Boolean functions ex minterms 1. a) fx,y,z)-ml +m2+ m5+m6+ m7 xy b) f(w, x y,z) -2(0,2,4,5,6,7,12,13) c) f(w, x, y, z) Σ(3, 4, 5, 6, 7, 9, 12, 13, 14, 15) wx
Design a PLA that implements the followingthree boolean function A(w,x,y,z) = ?m(4, 5, 7, 12, 13, 15) B(w,x,y,z) = ?m(0, 1, 4, 5, 8, 9, 11, 12, 13, 15) C(w,x,y,z) = ?m(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14) a) Use Karnaugh Maps to optimal each function and its complement. b)Select the three optimal functions to use in the PLA. C)Optimize the equation(s) using Karnaugh Map(s). d.Draw the circuit (Don't forget the clock).
Using K-maps, obtain the simplified product-of-sums and sum-of-products expressions for the following Boolean functions: a). b). F(x, y,2)-(3,5,6,7) d(0, 1,2) F(w,x, y, z) (0,1,2,3,7,8, 10)+ d(5,6,11, 15)
3. Use a Karnaugh map to find the minimal sum-of-products form for the truth function given in the truth table below. Then, draw the logic network for the expression. (5 pts) X1 X2 X3 X4 f(X1, X2, X3, Xa) 1 1 1 1 1 1 1 0 1 | 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 11oool 0 1 1 1 0 1 1 0...
4. (10) Use a K map to find the minimal sum of products expression for Label sides of the K map. Show your groupings on the K map. 이 多1 5. (10) Use a K map to find the minimal sum of products expresson for -ABC f(A,B,C,D)-E m(o, 2, 5, 11, 12, 13, 14) Label sides of the K map. Show your groupings on the K map 0 cant godstogの
Simplify the following Boolean functions using four-variable maps: F(w, x, y, z) = Σ (1, 4, 5, 6, 12, 14, 15) F(w, x, y, z) = Π (0, 1, 4, 5, 6, 7, 8, 9) AB’C + B’C’D’ + BCD + ACD’ + A’B’C+ A’BC’D (A xor B)’ (C xor D)
For the following functions, determine minimal SOP realizations: i. F(a, b, c, d) = ∑ (0, 1, 4, 12, 14, 15) j. F(a, b, c, d) = ∑ (1, 3, 4, 5, 6, 7, 9, 11, 13, 15) k. F(a, b, c, d) = ∑ (0, 2, 6, 8, 9, 10, 11, 14) l. F(a, b, c, d) = ∑ (5, 7, 9, 11, 13, 15)
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- a) Minimize the expression described using Karnaugh map, b) Draw the logic circuit. F(A,B,C,D)1,3,4,5,9,11,15) CD CD CD CD A B A B 12 13 15 14 AB 10 AB