Assume you have the following truth tables for function F1(w,x,y,z). Express F1 in sum-of-products form, in...
5. Express the functions F1 and F2 shown in the truth table below in sum-of- products form and draw a single logic circuit for F1 and F2 using AND, OR and NOT gates and the logic circuit using only NAND gates. Try to simplify the functions before drawing the diagrams. x y z F1 F2 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0...
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 Function F1(w, x, y, z) and F2(x0, x1, y0, y1), write
the truth table for each function. F1(w, x, y, z) - Specified by
the lab instructor F2(x0, x1, y0, y1) is a two bit adder. The
function F2(x0, x1, y0, y1) has 3 outputs - 2 bits for the sum and
1 bit for the carry out Cout
3. Given the Function F1(w, x, y, z) and F2(x0, X1, yo, yı), write the truth table for each...
3. Use a Karnaugh map to find the minimal sum-of-products form for the truth function given in the truth table below. Then, draw the logic network for the expression. (5 pts) X1 X2 X3 X4 f(X1, X2, X3, Xa) 1 1 1 1 1 1 1 0 1 | 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 11oool 0 1 1 1 0 1 1 0...
Using K-map simplify the following Boolean functions in product of sum form a. F(w,x,y,z) =Σ(0,2,5,6,7,8,10)
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).
Given the following truth table, provide the corresponding product-of-sum boolean function. Does not simplify the function. In the answer, sort each sum in the order of "x, y, z". The sums should appear in the same order as that of the corresponding inputs in the truth table from top down. For example, in (x+y+z)(x'+y'+z') the sum x+y+z appears before x'+y'+z' because in the truth table the input (0,0,0) (x+y+z=0 for this input) is in the first row and the input...
(1)Try to use NAND gates to achieve the truth table function of an XOR gate (2) Try to design a clicker for three people, it just needs two people to agree to pass. A,B,C indicate the people, 0 means don't agree, 1 means agree. If it passes the result is 1. Please write the truth table, the SOP (sum of products) equation and draw the logic circuit for it. (3)Use a Karnaugh-map to simplify the following Boolean function: F= AB'C'+A'B'C'+AB'C+A'B'C+AB...
1.) Write a Boolean equation in sum-of-products (SoP) canonical form for each of the truth tables: A B C DY 0 0 00 1 0 0 01 0 0 0 01 0 0 11 0 1000 0 1 01 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 101 0 1 11 1 0 0 1 1 0 1 0 1 1 01 1 1 10 0 0 1 1 0 100...
XYZ f(x,y,z) 111 110 101 100 011 010 001 000 Based on this truth table. What is the sum of products form? How to use a K-map to figure out the minimal form for this boolean function. What is the circuit digram for the minimized form?