Obtain sum of products expression for the given NAND network and draw the truth table. Construct the logic diagram using AND/OR/NOT gates. A B bopood DDDD D
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- 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.Logic Gates:* 7404LS (NOT)* 7408LS (AND)* 7432LS (OR)* 7400LS (NAND)* 7402LS (NOR)* 7486LS (EX-OR)Or you can use 74HCxx versions.Task 1: 2-to-1 LINE MULTIPLEXER DESIGNA) Write the truth table of 2-to-1 line multiplexer.B) Draw the circuit diagram by using only NAND & NOT GATES.C) Simulate the circuit that you found in part B.Write the expression for the logic circuit given in the figure as the sum of products. Simplify the expression obtained by applying Boolean Algebra theorems and axioms. Retrieve the capitalized expression using AND NOT (NAND) gates, with no restrictions on the number of entries.
- Logic Gates:* 7404LS (NOT)* 7408LS (AND)* 7432LS (OR)* 7400LS (NAND)* 7402LS (NOR)* 7486LS (EX-OR)Or you can use 74HCxx versions. Task 2: 4 INPUT PRIORITY ENCODERa) Write the truth table.b) Find the outputs in terms of min terms using minimal expression.c) By using K map, find the simple/simplest expression of theoutputs.d) Draw the circuit diagram. (Simulation design will be accepted.)e) Simulate the circuit & explain your results. (Please do notdesign separate simulations for each output. You should design ONEsimulation including all inputs and outputs.)We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?Q1: First develop the Boolean expression for the output of each gates network and simplify. 1. B
- Write the Boolean expression for the following logic gate circuit, then reduce that expression to its simplest form using any Boolean postulates and theorems. Finally, draw a new gate circuit diagram based on the simplified Boolean expression that performs the exact same logic function.5- Determine an alternative method for implement the full-adder. Hint: Write the expressions of the circuit and simplify using icarnaugh map.Then implement using AND-OR gates. 6- Design a logic cct using NAND gate and convert BCD code to Excess-3code.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.
- An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.The following logic gate represents: a) Exclusive OR logic gate, b) NAND logic gate, c) AND logic gate. A o d) Anticoincidence logic gate, e) NOR logic gate, f) OR logic gate. D- BO