1. Sketch logic diagram to implement F 2. Draw the truth table of function F 3. Use Boolean Algebra to simplify the function 4. What is minimum number of basic gates (AND, OR and NOT) needed to implement F.
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- Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'CIn boolean algebra, the bar sign (-) indicates O a. NOT operation O b. OR operation O c. None of the options given O d. AND operationand are the accurate methods of simplification of Boolean functions a. Boolean algebra and trial and error method b. Boolean algebra and Universal Gates C. universal Gates and Karnaugh Map d. Boolean algebra and Karnaugh Map
- Solve the problem and simplify the output function using Quine–Mc Cluskey Methods. The following requirements must be met in solving the problem. Requirement:a. Truth Tableb. Timing Diagramc. Quine – Mc Cluskey Method d. Logic Diagram A private company wants to decide on a certain issue. Each of the four officials has an equal share of voting right. At least two of them must approve the solution in order to implement it. Each of them has a switch which closes to vote YES and open to vote NO.. Simplify the following Boolean algebraic expressions and draw a block diagram of the circuit for each simplified expression using AND OR and NOT gates. (a) AB’C’ + A’B’C’ + A’BC’ + A’B’C (b) A’BC + AB’C + A’BC + ABC’ + AB’C’ + A’BC’ + A’B’C’ (c) (A + B + C) (A + B’ + C’) (A + B + C’) (A + B’ + C)Determine the truth table for the following logic circuit. Then identify the type of logic gate using Boolean algebra. O +Vcc R23 ER O O/P Q1 Q2 BO
- Consider F(A,B,C) = AB'C + B'C' + A'BC + A'C' 1. Determine how many logic gate inputs would be needed before any simplification. Do not count inputs to NOT gates 2. Use Boolean algebra rules to get the most simplified expression of F(A,B,C). Then determine how many logic gate inputs would be needed after simplification. Again, do not count inputs to NOT gates. 3. Expand the original expression into its canonical SOP representation. 4. Fill out the K-map below using the SOP canonical representation. Group the 1-cells according to the K-map simplification rules. Translate each group into its product term, OR these product terms together, and verify that the expression you get matches the one in Step 2. 5. Draw two circuits in CircuitVerse, one from the original expression for F(A,B,C), the other from the simplified expression in Step 2 or Step 4. Connect the inputs to both circuits, but separate their outputs. Verify through simulation that these two circuits are indeed equivalent. Take…Question 5. Consider the implementation of a logic function using a decoder given in figure 2 and answer the below questions. Do D, D2 D3 F D4 D5 D6 D, Figure 2. Logic function implementation using decoder a. Fill in the truth table of the logic function. y F b. Map, derive the simplified output expressions for F(%X.z) using the K-MAP. Explain all the steps. F(x, y, z) = NCreate a circuit to generate odd parity bit for a 3-bit code. a. Construct the truth table. b. Use K-map to simplify the circuit. c. Draw the circuit with minimum number of gates. (I did the question myself, but I'm confused as to why the K-map does not provide the simplified circuit to build the minimum number of gates)
- 3- A-) Implement the Boolean function (F) with a 4 X1 multiplexer and two-input-NOR gates. Connect inputs A and B to the selection lines. The input requirement for the four data lines will be a function of variables C and D. These values are obtained by expressing F as a function of C and D for each of the four cases when AB = 00, 01 ,10 and 11. B-) Implement the Boolean function with a 8 X 1 multiplexer. Connect inputs A,B and C to selection lines. F(A, B, С, D) - 2 (1, 3, 5, 9, 10, 14, 15) А So В S1 4 x 1 MUX 1 Y F 2 34. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert column headings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings. A B. D In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least- significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X. A B ERequired: 0. Write Boolean expression For each Row in Table.1. Draw a k-map table based on the logic/truth table above. explain how you make k-map.2. Group the implicants (those 1s inside the k-map table) accordingly. Allowed groupings are 1, 2, 4, 8, 16, …, n.3. Write the Boolean expression based on the k-map table.4. Draw the logic gates diagram of the Boolean expression. Note:- please Solve with complete explanation.I Need step by step with explanation as I*m beginner in K-Map. will Surely Upvote. Will appreciate if Handwritten Solution.