Draw a Karnaugh map
Find the minimum AND-OR expression for x(a,b,c,d) with don’t care conditions
Σ(1,6,9,12) + d(0,2,3,4,5,7,14,15) #36e
Draw a Karnaugh map Find the minimum AND-OR expression for x(a,b,c,d) with don’t care conditions Σ(1,6,9,12)...
(14)Use a Karnaugh map to find the minimum POS for [1 (A+B+C)(A+B+C)(A+B+C) Show the equivalent SOP expression. [10 pts]
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
(c) Use a Karnaugh map to reduce the following 4-variable expression to a minimum SOP form. CD(AB+AB)+CD(AB+AB)+CD(AB+ AB)+ ABCD+ABCD+ACD+ACD (5 marks)
Which of the following is minimum SOP expression of F(A,B,C,D)=∑(2,3,4,5,9,12,14,15) with don't-care conditions, d(A,B,C,D)= (6,7,13) ? 1. B+A'B'C+AC'D 2. B+A'C+AB'C'D 3. B+A'C+AC'D 4. A+A'B'C+AC'D QUESTION 2 Which of the following is minimum POS expression of F(A,B,C,D)=Π(0,2,4,6,8,10,11,12,14) with don't-care conditions, d(A,B,C,D)=(1,9) ? 1. D 2. D'(A+B') 3. D' 4. D(A'+B) Which of the following is minimum SOP expression of F(A,B,C,D)=Π(0,1,2,3,5,7)? 1. AB+AD' 2. A'+B'D 3. A+BD' 4. A'B'+A'D Which of the following is minimum POS expression of F(A,B,C)=∑(0,1,2,3,5)? 1. A'(B'+C) 2....
Construct the Karnaugh maps and find the minimum SOP, and minimum POS expression for each of these logic functions: a.) ? = ?̅ ?̅?̅ + ?̅ ??̅ + ??̅? + ??? b.) ? = ?̅?̅?̅+ ??̅?̅+ ?̅?̅? + ??̅? + ?̅?? c.) ? = ?̅???̅ + ???̅?̅ + ???̅? + ???
Hi, need help for this Question regarding Karnaugh map Question: refer to below picture ion 1 (continued) Construct the Karnaugh map for the logic function defined by the truth table of Figure 1b (where X's are "don't care" conditions), and find the minimum expression for the function. Design a circuit to implement this function using only 2-input NAND gates. Input Output LABCD z] 0000 0001 00100 001111 0100X 0 101 X 0110 0111X 10 000 1001 1 0 1 0...
F5.2 Construct a Karnaugh map for the logic function: D = ABC + A'BC + ABC' + BC Find the minimum SOP expression. Realize the function using only NAND gates. [15]
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...
Please show the steps 1. Write the minimum SOP expression of F(A,B,C)=∑(2,3,4,6) with “don't-care” conditions, d(A,B,C)=(0,1,5) 2. Write the minimum POS expression of F(A,B,C,D)=Π(2,3,11,12,15) with don't-care conditions, d(A,B,C,D)= (0,7,10,14) 3. What is the critical path delay for the given logic circuit? Assume that a 2-input OR gate has a propagation delay of 21 ns, the 2-input AND gate has a propagation delay of 14 ns, and the NOT gate has a propagation delay of 9 ns. A. 58 ns B. 57 ns...
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)