I am uploading the solution if you have any difficulty you can leave the comment I will help you to understand.
13. Find the simplified SOP for the given function. F(BEST) = m(1,3,5,7,10) + d(2,11,12,13,14,15)
Given the semi-simplified Boolean equation below a) draw the K-map for F': b) find the simplified SOP equation for F. F = (A + C + D) (B+C) (A+B+D (B+C)(B+C+ D)
11. Simplify the following function to SOP: F (HOPE) = m(0,2,6,7,8,10)
6. Find the minimum-cost SOP and POS forms for the function: f(x1, X2, X3, X4, X5) = > m (1,3,4,7,9,10,12,17,19,20,23,25,26,28,30) + D(14,21,24,29) 7. Problem 2.45 A four-variable logic function that is equal to 1 if any three or all four of its variables are equal to 1 is called a majority function. Design a minimum-cost SOP circuit that implements this majority function.
Given the following SOP equation. F = Σ (2,4,5,6,10,12,13,14) FEQ= 2- Draw the logic circuit for the unsimplified SOP equation. 3- Using Boolean algebra, simplify the SOP equation (FEQ) and draw the logic circuit for the simplified SOP equation. F = Fill-out the Truth Table and write the unsimplified SOP equation. FEQ FCircuit 11 11
Find the simplified expressions given the K-maps a. F(A, B, C)-Σ m(2,4,6,7) В.С. в'C BC BC b, F(A, B, C)-Σ m(0,1,3,5,7) B'C' B'C BC BC F(A, B, C, D-yn(0,2,5,7,8,10) A B A B 12 13 15 14 AB 10 AB
The following logic function is given as a sum of minterms F(A,B,C,D) = Σ A,B,C,D(0,1,4,5,9,11,13,15) A) Find out SOP for the function. B) List all the input pair(s) where we can observe a timing hazard from the K-map. C) Draw the timing hazard diagram for one of the input pair. Assume ALL gate delays are equal. Identify the timing hazard from the diagram. D) Write the expression of an equivalent logic function in which the timing hazard(s) is/are eliminated.
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x) = x – 6; g(x) = 6x? What is the domain of -? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x|}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain is {x| x is any...
Question 2 (10 Marks): If F(A,B,C,D)=|M(3,4,5,6,8,9,10,12,13,14), a) Express F in minimum SOP and minimum POS. b) Express F in minterms and maxterms. c) Express F in standard form of POS. d) Show that F =(A+B)O(CD).
Find the simplified equation and draw the circuit. 1)U(A, B, C, D) = ∑m (0, 2, 5, 7, 8, 10, 13, 15) 2)V(A, B, C, D) = ∑m(2, 3, 10, 11) 3)W(A, B, C, D) = ∑m (1, 2, 4, 7, 8, 11, 13, 14) 4)X(A, B, C, D) = ∑m (0, 1, 14, 15) 5)*S (A, B, C, D) = ∑m (2, 4, 5, 6,7, 10, 14)
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)