3. Logic Design a. Create the truth table of a 3-input AND gate. Realize the 3-input AND operation using only 2-input NOR gates. b. Create the truth table of a 3-input OR gate. Realize the 3-input OR operation using only 2- input NAND gates. c. Using AND and OR logic gates, implement the logic function: F(x, y, z)= xy + yz + zx
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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.Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxters. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.Construct the corresponding logic circuit for the following expression using only AND gates and OR gates and INVERTERS. Do not simplify! x = AB(C+D) 6) z = (A + B + CDE) + BCD
- Given the logic function: F(A,B,C,D) = Σm(0,4,5,10,11,13,14,15) a. Find a minimum circuit which implements F using AND and OR gates. Identify two 1-hazards in the circuit. b. find another minimum circuit which implements F using AND and OR gates. Identify two 0-hazards in the circuit. c. Find an AND-OR circuit for F which has no hazards.a. Construct a Karnaugh map for the logic function D=ABC+ A ¯ BC+AB C ¯ +BC b. Find the minimum SOP expression and realize the function, using AND, OR, and NOT gates. c. Find the minimum POS expression and realize the function, using AND, OR, and NOT gates.1. Design a 16 - to - 1 multiplexer using 4- to-1 multiplexer. 2. Using K- Map, simplify the following Boolean expression : Y = Σ (1,3,5,7,9,10,11,13,14,) 3. Build the logic circuit for the following function using Programmable Logic Array (PLA). ?? = ??? + ??? + ??? + ??? ?? = ??? + ??? + ??? + ???
- 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?Q (A, B, C) = A̅ .B̅. C + A̅ .B. C + A .B. Obtain the function given as C̅ + A.B.C, simplified by the Karnaugh Map method, in terms of minterms and maxters separately. Set the output functions separately with logic gates with AND NOT for minterms and OR for maxima.Draw the logic diagram to implement the following Boolean expression using only NAND gates.Y= A’(B+C) +D
- a) Kindly design a Master-slave J-K flip-flop using NAND gates only and state race-around condition, and how it can be eliminated in a Master-slave J-K flipflop? A multiplexer (MUX) also known as data selector, is a logic circuit which allows the digital information from multi-inputs to a single output line(b) Design a 8 to 1 multiplexer by using the four variable function given by F (A, B, C, D) = ∑m = (013489 15) (c) OUR school AIT has lockers in all the campus that she often rent them out to students who needs them, upon graduation they are taken back by the school authorities. Kindly express the process of opening this locker in terms of digital operation.Consider two binary numbers where the first is made of three bits whichcan be represented by X, Y, and Z, while the second is two bits and isrepresented by A and B. Design a logic circuit that multiplies X Y Z timesA B, using two half adders, one full adder in addition to AND gates.Which of the following statements accurately represents the best method of logic circuit simplification? a. Actual circuit trial and error evaluation and waveform analysis b. Boolean algebra and actual circuit trial and error evaluation c. Karnaugh mapping and circuit waveform analysis d. Karnaugh mapping and Boolean algebra