Problem 3.
a. Draw a NAND logic diagram that implements the complement of the following function: F(A, B, C, D) = ∑(0,1,2,3,6, 10, 11, 14).
b. Use Karnaugh Map to minimize the function F(w, x, y, z) = ∑ (0,2,5,7,8, 10, 12, 13, 14, 15)
a. Draw a NAND logic diagram that implements the complement of the following function: F(A, B, C, D) = ∑(0,1,2,3,6, 10, 11, 14).
Design a PLA that implements the followingthree boolean function A(w,x,y,z) = ?m(4, 5, 7, 12, 13, 15) B(w,x,y,z) = ?m(0, 1, 4, 5, 8, 9, 11, 12, 13, 15) C(w,x,y,z) = ?m(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14) a) Use Karnaugh Maps to optimal each function and its complement. b)Select the three optimal functions to use in the PLA. C)Optimize the equation(s) using Karnaugh Map(s). d.Draw the circuit (Don't forget the clock).
use a karnaugh map to minimize and draw the logic diagram f(w,x,y,z)=w',x',y',z'+wxy'z'+wxyz=w'xyz'+wxyz'
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
Implement the Boolean function F(w,x,y,z) = Σm(3, 4, 5, 1 1, 12, 13, 14, 15) using a minimum number of NAND gates only. Write the minimal logic expression (no need to draw the circuit).
2(b). Find a minimum three-level NAND-gate circuit to realize the logic function given below. F(A, B, C, D) = y m (5, 10, 11, 12, 13)
The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15) a) Draw the K-map for the given function F. b) What is the minimized SOP equation? c) Give all input pairs in the form of WXYZ where a transition between them would create a timing hazard. d) Draw the timing diagram showing the hazard for one of the cases. Assume ALL gate delays are equal. e) Provide the expression of an equivalent logic function...
Given the following Karnaugh map AB CD 00 01 11 10 01 011 Draw a circuit that realizes the function above using one 8-to-1 multiplexer and any number of NAND gates. Observe that A, B and C are connected to the select inputs, SO, S1, and S2. 4-to-1 MUX -10 12 13 14 15 16 17 So Si S2 ABC
I need help with this Logic circuit problem. Problem #2 Given the logic function F(a,b,c) cabctab'c'+a'c'c'tabb' a) Normalize the product terms and write the function again. Answer: F(a,b,c) b) Find a minimal SOP expression using a Karnaugh Map Answer: F(a,b,c) c) Based on the result of the previous part find an expression that minimizes the discrete gate count using gates of any kinod. Answer: Fla,b,c)- d) Find a minimal POS expression using a Karnaugh Map Answer: F(a,b,c)
(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...
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.