Construct a circuit diagram that checks whether the two numbers A and B are in the ratio of 2:3. Also, derive the final Boolean equation for the function. F = 1 if A: B = 2:3, 0 otherwise Here, A and B both are 3 bit binary numbers.
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- Construct the truth table for 4 bit Excess 3 to Binary code code converter. Use K-map for simplification and draw the circuit for 4 bit Excess 3 to Binary code Converter using AND, OR and Not gates in logisim Simulator.A circuit which takes a binary-coded decimal (BCD) number as input s to be designed such that the single output Q is true if the input is a prime number (remerber that 0 and 1 count as prime numbers). (a)Draw a truth table that specifies the above circuit (b)Using the truth table you have constructed and the Karnaugh map method find the minimised Boolean expression for the output Q. (c)Implement the digital circuit using the minimum number of 2-input logic AND, OR gates and inverters (NOT.Implement a circuit that has two data inputs (A and B), two data outputs (C and D), and a control input (S). If S equals 1, the network is in pass-through mode, and C should equal A, and D should equal B. If S equals 0, the network is in crossing mode, and C should equal B, and D shouldequal A. Draw the circuits using the standard logic gates (NAND, NOR, NOT, etc) as needed. Explain the working of the circuit.
- TOPIC: COMBINATIONAL CIRCUIT What is a half-adder? Write its truth table. Design a half-adder using NOR gates only. What is a full-adder? Draw its logic diagram with basic gates. Implement a full-adder circuit using NAND gates only. Implement a full-adder circuit using NOR gates only. What is a multiplexer? How is it different from a decoder? How are multiplexers are useful in developing combinational circuits? What are the major applications of multiplexers?Course: DigitalLogic Design Please solve this question in a 2 hour. Solve it step by step clearly: Obtain the simplified expression of a given function in product of sum (POS) form. Also draw logic diagram of simplified expression using OR-Nand gate and NOR Implementation. F(x,y,z)= Product (0,1,4,5)4 - 5 SIMPLIFICATION AND MINIMIZATION OF BOOLEAN FUNCTIONS 4. Using a Karnaugh map, simplify the function F (A, B, C, D) = Σ (0, 2, 3, 6, 7, 8, 10, 11, 12, 15) and implement them with basic gates. 5. Obtain the sum of the products expressions for the function F = Σ (1, 4, 7, 8, 9, 11) + d (0, 3, 5) and implement them with NAND gates as well as NOR gates.
- Design a circuit with a truth table that converts a number between 0 to 7 in decimal to binary then passes it to another component that outputs the number in the output line of the decimal number. Demonstrate the value of input and output using '2'. Discuss the process in your own words. [Hint: The number passes from encoder to decoder. Consider there is no enable pin in the decoder.]Implement the Function 'Y = ACB + BC + E' using a 4-Input, 2-Address Bit Multiplexer.What are the Equations for the Multiplexer Data Inputs (D3 - D0)?Design a 4-to-1 multiplexer using a 2-to-4 decoder and only AND and OR gates? Briefly explain how your circuit works?
- Kindly Answer What is the internal structure of 7483 IC? What do you mean by code conversion? What are the applications of code conversion? How do you realize a subtractor using full adder? What is a ripple Adder? What are its disadvantages? What are code converters? What is the necessity of code conversions? What is gray code? Realize the Boolean expressions for Binary to gray code conversion Gray to binary code conversionA function, F, is defined such that it equals 1when a 4-bit input code is equivalent to any of thedecimal numbers 3, 6, 9, 12, or 15. F is 0 for inputcodes 0, 2, 8, and 10. Other input values cannot occur.Use a Karnaugh map to determine a minimalexpression for this function. Design and sketch acircuit to implement this function using only AND andNOT gates.Draw a truth table, Karnaugh diagram and logical gates circuit to show the functionof an even number detection circuit. That is, the output of the circuit will be one only ifthe value of the binary input is even. Assume three inputs.