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Design and implement a 4-input majority detector. The output is high if two or more of the inputs are high. Use Karnaugh map reduction to

    • Design and implement a 4-input majority detector.
      • The output is high if two or more of the inputs are high.
      • Use Karnaugh map reduction to get the simplified Boolean function.
      • Draw the circuit and simulate the circuit in Logisim.
      • If you have problems using Logisim, make sure you ask for help.
      • Check if the truth table for the circuit meets the result of your experiment.
      • For your lab assignment, make sure that you follow the combinational design procedures stated in the lab notes. Marks will be given to each step.
      Hand-in requirements for grading
      • Show the five steps used to solve this problem. Note: Step 5 inclides drawing the logic diagram and implementing the test circuit in Logisim.

    • Design a circuit which will control LED segment "c" of a 7-Segment display.
      • See the diagram below to understand what a "c" segment is.
      • If the segment is lit, then the output should be 1. If the segment is not lit, then the output should be 0.
      • For example, for the numbers 0, 3, and 4, segment "c" should be lit; for numbers 1, and 2, segment "c" should not be lit; etc.
      • Design the circuit so that if someone applies a value from 10 to 15 then the LED segment does not light.

        The following guidelines apply to the 2nd part of the lab assignment:

      • You may only use NAND and NOT gates (it is common to have your design limited to certain gates).
      • Show all the steps of the combinational design procedure including test results.
      • Present the simplified SOP form after using the Karnaugh map reduction method.
      • Present the expression that can be implemented by using NAND and NOTgates.
      • Present the screenshot of the circuit when inputs are 1, 3, 9 and 11.
      • A 7-segment display can display the digits 0 - 9 by having the appropriate LEDs turned on.

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