F = xy' + x'y + y'z'
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implement the following boolean function
F = xy' + x'y + y'z'
(a) with AND, OR, and inverter gates
(b) with NAND and inverter gates
(c) with NOR with inverter gates
in each case, show the truth table for the function
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- With the following functions use a 4:1 multiplexer(mux) and minimum number of extra gates. Remember that to create the inverse of an input variable (i.e., A’, B’, etc.), you need to use an inverter. Hint:remember that you may need to try different variables on the select lines (i.e., A and B, or B and C, or A and C) to find the solution with the minimum number of extra gates. Implement each of the functions from from the above question using a 2:1 multiplexer(mux) and a minimumnumber of extra gates. Hint:remember that you may need to try different variables (i.e., A or B or C) on the select line to find the solutionwith the minimum number of extra gates. please explain in detail with a truth table as well as the schematics using a MUX.Simplify the following Boolean Function using K-map: F(a, b, c) = E(0,1,5,6,7) and implement the above function (a) With logic gates (AND, OR, Inverters) (b) With NAND gates (c) With NOR gatesimplement the following boolean function with OR and inverter gates F = xy' + x'y + y'z
- Implement the Boolean function F = xy + x’ y’ + y’z (a) With AND, OR, and inverter gates (b) With OR and inverter gates (c) With NOR and inverter gatesA OR1 B NAND1 P- AND1 Q2.1 Boolean Aigebra in Verilog Create a module in Verilog implementing the above circuit as faithfully as possible. In particular, use three assign statements, one for each logic gate.a) Create a 4 Variable Karnaugh Map in paper by mapping 1’s for given standard SOP Boolean expression. After mapping , make relevant groups within Karnaugh Map by considering rules for making groups for 4 variable Karnaugh Map. After making relevant grouping , extract the minimum SOP expression by considering rules for extracting minimum SOP using Karnaugh Map. * Standard SOP: *Create Circuit Diagram using logic gates and logic converter in Multisim for given standard SOP and minimum SOP which you have solved. Do make sure that truth table for both expressions should evaluate same result.
- Boolean expression of a logic operation is given below: (a) Simplify the Boolean expression using Boolean algebra and De Morgan’s Theorems (b) Draw the circuit to implement the expression you obtain using NAND or NOR gates onMinimize the Boolean expression F=AB’C’+C’D+BD’+A’C using K -map and implement the logic circuit using NAND gates only.4. Construct a combinatorial circuit using inverters, OR gates, and AND gates that produce the output (~pA~q) A (~ (p V r)) from the input bits p, q, and r.
- An equation in reduced SOP form, is F=AB+B'C+A'C'. I need to draw a logic circuit F using NOT/AND/OR and logoc circuit F using all NAND gates. Thank you for the help. I understood the previous types of gates but I am confused on how to draw these circuits.Disscussion 1- In OR gate table why 1+ 1 = 1? 2- Explain the basic logic gates, complete three and four input logic gates truth table.. 3- What is the purpose of a truth table and algebraic function? 4-What is the purpose of an inverter in a digital circuit? -5- When is the output of an OR gate HIGH? -6- When is the output of an OR gate LOW? 7- Describe the truth table for a 3-input OR gate.Generating truth table for the following logic statement: (A NOR B) NAND (B OR C OR D) NAND (A XOR D) Please explain the step of the operation.