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Problem 1: Find all of the essential prime implicants for the following Boolean functions (d) F...
Identify all essential prime-implicants of the function f(A,B,C,D) = (0,2,4,5,6,8,10,13,15) and find all minimal functions. Please show steps.
Problem 4 [10 points] For the functions below, draw their Kmaps and indicate their prime implicants and essential prime implicants. Then write down their simplified form. Make sure it is easy to distinguish them using different colors or other clear markings. (a) F(x, y, z, w)- (1, 5, 7, 8, 9, 12, 13, 14, 15) (b) G(r, y, z, w)- (0,2,3,4,5, 8, 10, 11, 13, 15)
Using a 4-variable K-map, find all prime implicants, essential prime implicants and a minimal sum-of-products expression for f(A, B, C, D) = sigma m(1,4,5,6,7,12,13,14)
Question 10 6 pts Choose all prime implicants for the function F(A,B,C,D) = m(2,6,7,9,13,15) BCD A'CD' BCD AC'D Question 11 8 pts Consider the following truth table. Find the boolean functions for Y and Z. (Select all that
uestion Completion Status QUESTION 1 What are the essential prime implicants for the logic function fa,b,c,d) □ blcd Σ m(2,3,5,6,7, 10, 11, 13, 14)? labd □cid lac QUESTION 2 A minimum cost SOP cover will include? O Some of the essential prime implicants O Only the essential prime implicants O All of the essential prime implicants Clich Save and Submit to save and submit Click Save All Answers to save all answers
Question 22 4 pts Find the sum-of-prime-implicants form of the following Boolean expression: xy +2'z+yz' + xyz xy + xz+y O xy + y2 + 2 OX'z+y+z' O2 + y + 2 None of the above.
Q3: 1. For the Boolean function shown below, answer the questions F(W,X,Y,Z) = 11 (6,8,9,10,11,12,13) use K-MAP to: • Derive the BF as SOP. • Derive the BF as POS. • Find All prime implicants of the BF. • Determine the Essential prime implicant(s). 2. Let the BF change to have don't care condition as: F(W,X,Y,Z) = 1,3,7,11,15 + de E(0.2,5) Derive the BF as SOP and POS.
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)
1. Simplify the following Boolean function to sum-of-product by first finding the essential prime implicant F(A, B, C, D) = ∑( 0, 1, 3, 4, 5, 7, 9, 11, 13) 2. Implement the simplified Boolean function in 1. Using NOR gates only
(18 pts) Given the Boolean function F(A, B, C, D) = Σ (0, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14) a. Draw a Karnaugh Map. b. Identify the prime implicants of F. c. Identify all Essential Prime Implicants of F. d. Derive minimal SOP expressions for F e. Derive minimal POS expressions for F. f. Assume each inverter has a cost of 1, each 2-input NAND gate has a cost of 2, and 4-input NAND gate has...