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)...
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...
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
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...
Digital logic design Question 2 [4+6=10Marks] I. Implement following function using 16 x 1 multiplexer? F(A,B,C,D) = I l.ec.(D1, D2, D3, D4,10,11,13,15) II. Implement function F given above using 8 x 1 multiplexer?
Four variable k-map Variable Y is a function with inputs A, B, C, and D defined by the following minterm list with don't cares: Y = m7+m13+m15+d0+d3+d6+d8+d10+d12+d14 Use a K-map to find the optimal logic expression for Y:
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
digital Logic For the Booelan function F together with the don't-care conditions d. Perform the following: a. Optimize the expression in Sum-of-Products form. (10 points) K.maps b. Implement the Sum-of-Products form using logic gates. (5 points) c. Determine the Inverse function F. (5 points) F(ABCD) m(2,3,8,10) d(ABCD) m(0, 6,7,13)
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)
simplify the following expressions using K-Map(Digital Logic)