lean algebra to simplify the following expression, then draw a logic gate circuit for the simpli AB+ABC ABC ABC algebra to simplify the following logic gate circuit DDD A B algebra to simplify the following logic gate circuit: :DD A B Output Output
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- 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). ?? = ??? + ??? + ??? + ??? ?? = ??? + ??? + ??? + ???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 algebraProve the equality of the following boolean expression (AB)'.(CD)'=(AB+CD)'.state this theorem.implement using logic gates also
- 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.Using the analysis technique where you first extract the truth table and then use it to derive the output’s logic expression, analyze the circuit. Record your results below. I added the circuit as an image Conclusion In your own words, describe the process used to analyze a logic circuit where you first extract a truth table and then derive the logic expression. 2.Again, in your own words, describe the process used to analyze a logic circuit where you first extract the logic expression and then derive the truth table.Design a circuit with logic gates that tell us if a number less than 10, codedin binary, it is either prime (1) or not (0). Minimum up to 16 combinations.True tableII. Boolean functionIII. Simplification procedure by any of the methods
- 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.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.Assume a three-story hospital is built at Expo Center Karachi, and you are hired to design the logic circuit for the newly installed lift. The lift only stops at Ground, Second, Third Floors. The lift has one button (RUN), that can be turned into Up or Down position. When the switch is turned to the UP position (i.e. R=1), the lift goes upward from the Ground floor (i.e. 0) to the top floor (i.e. 3), and if the switch is turned to the DOWN position (i.e. R=0) it will go downward. Design this synchronous sequential circuit for this up-down counter using the JK-flip- flops. Perform all design steps, including state-diagram, state-table, K-map, minimized expressions and finally, the draw the logic circuit.
- Draw the equivalent logic circuit diagram of the given expression. F= (a'b') + (ac)Realize the following function ; " on the image " using a(a) 4-to-1 multiplexer, and draw the logic diagram.(b) 8-to-1 multiplexer, and draw the logic diagram.You may use external gates if needed.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