please answers all of them! 1. Simplify, using algebraic manipulations, the following Boolean expressions to a mini- mum number of terms and factors. (a) XYZ + XY + XYZ (b) XYZ + XZ 2. Find the complement of the following expression: (a) XY + XY 3. Using DeMorgan's Theorem, express the following function .... (a) F= XY+XY + ÝZ ... with only OR and complement operations. 4. Propose and solve your own logic simplification problem using logic theorems 5. Simplify...
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
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) 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
Simplify the following expressions by means of a four- variable K-Map (a) AD+BD+BC ABD (b) ABC+CD+BOD+BC
Simplify the following Boolean function using K-map and implement it using only NAND gates ?(?, ?, ?, ?) = ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?.?.?.? +?.?.?.? + ?.?.?.? + ?.?.?.?
For each of the following logic expressions, use a karnaugh map to find all of the static hazards in the corresponding two level and or circuit, and design a hazard free circuit that realizes the same logic function. I just need to know the static hazards. F) F= W'X+Y'Z+WXYZ+WX'YZ'
Please solve it clearly 2. For each of the following digital circuits, write the logic expression that describes the output in terms of the inputs. There is no need to simplify the logic expressions. (8 points) c D D D A B E Solution A(C+ D) + BE F W X D Solution: Q=(W+X)(Y o Z)
Using SmartSim, simulate the following circuit: f(A,B,C,D)=(B'+C).(A+C+D').(A+B+D') Use a K-Map to simplify the above function to minimum product of sums form. Simulate the simplified function. Include logic diagram, truth table and timing diagram for both please.
Problem 1. Simplify the logic expression using Boolean Algebra. f(x1 ,x2, x3) = x1'x2'x3' + x1x2'x3' + x1'x2'x3 + x1x2x3 + x1x2'x3 Problem 2. Simplify the logic expression given in problem 1 using K map.
(Question 2) (6 marks) 1) Draw the K-map for the 4-in 2) Use a K-map to simplify in Sum-of-Product form. 3) Implement the resulting two level logic function using only NAND gates.