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)...
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
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...
I Using K-Map minimize the function: f(x, y, z, w) = {(2, 4, 9, 15) + d(0, 1, 3, 6, 11,13) Do not use Boolean algebra. Use K-Maps.
Problem 3: (a) Plot the following function on a Karnaugh map. (Do not expand to minterm form before plotting.) F (A,B,C,D) = BD' + BCD + ABC + ABC"D + BD' (b) Find the minimum sum of products. (c) Find the minimum product of sums. Problem 4: Find a minimum sum-of-products and a minimum product-of-sums expression for each function: (a) f(A,B,C,D):1M(0,2,10,11 , 12,14,15)·nD(57) (b) f(w.x.yz) m(0.3 ,5,7,8,9,10,12,13)+2d(1,6,1 1,14)
1. For each of the following logic expressions, complete a Karnaugh map (K-map) and use it to find the minimal logic expression. (a) F= ABC+ BT D+CD + BCD (b) G JKL M+JKLM+7RM +KL+ JLM
reduce the following expression using k-map
(c) f(a,b,c,d) = 11 M(1. 2. 3. 4. 9. 15)
3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a. Using K-map, simplify F in S.O.P. form b. What is the gate input count in (a)? c. Draw the logic circu in (a) d. Simply F using K-map in P.O.S. form. c. What is the gate input count in (d)? f. What should be your choice in terms of gate input count? 4. In our class, we implemented a BCD-to-Segment Decoder a. Draw Truth...
1) Simplify using K-map the following function in product of sum F(A, B, C, D)=1 (5,6,7,8,9, 12, 13, 14, 15) 2) Compute the following multiplication (A2)16 * (B1)16
#1,2,7,9
Fall 2019 Test 2 Practice Problems EE210 m(1.6.7). Use a K-map to simplify the Show a truth table for the function F(w, x, y)= function. Find a minimal AND-OR realization 2. Using a 3.variable Karnaugh map, find a minimum SOP reduction for F(A,B,C) - m(0,1,5,7). Using a 4-variable Kamaugh map, find a minimum SOP reduction for F(A.B.C.D) - Ym(1.5.7.11.13.15) Using a 4-variable Karnaugh map, find a minimum SOP reduction for F(A,B,C,D) - Sm(1.5.7,11,13,15) + d(2,3) Study Guide, Unit 5....
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