Digital Design Realising Function

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Discussion Overview

The discussion revolves around the design of a digital circuit, specifically focusing on determining the number of gates required for the function Q+ using original and inverted variables. Participants explore methods for solving this problem, including the use of Karnaugh maps and state diagrams, while expressing uncertainty about the calculations involved.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest using a Karnaugh map to minimize the combinatorial logic involved in the design.
  • There is a question about whether gates with more than two inputs can be used in the solution.
  • One participant states that the answer is 10 but expresses confusion about how this number was derived.
  • Another participant questions if the output 'u' should be counted in the total for Q+ logic gates.
  • It is noted that if both x and x' are provided, then 10 might be considered an obvious answer if the equations are implemented exactly as written.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the method of solving the problem or the correctness of the answer being 10. Multiple viewpoints and uncertainties remain regarding the approach and calculations.

Contextual Notes

Participants have not provided complete assumptions or definitions regarding the variables and logic gates involved, leaving some aspects of the discussion unresolved.

EternityMech
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[PLAIN]http://img11.imageshack.us/img11/9320/sekv505.jpg

how many gates are created for Q+ using all original and inverted variables?
dont want the answer, but a way of solving it? i know it has 3 flipflops and 8states.
 
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EternityMech said:
[PLAIN]http://img11.imageshack.us/img11/9320/sekv505.jpg

how many gates are created for Q+ using all original and inverted variables?
dont want the answer, but a way of solving it? i know it has 3 flipflops and 8states.

You would probably use a Karnaugh map to minimize the combinatorial logic. Can you use gates with more than 2 inputs? Have you drawn the State Diagrams associated with this problem?
 
Last edited by a moderator:
the Answer is 10 but i have no idea how they got 10 from. do you think you know? thanks
 
EternityMech said:
the Answer is 10 but i have no idea how they got 10 from. do you think you know? thanks

How about showing us the work that I suggested in Post #2? :smile:
 
berkeman said:
You would probably use a Karnaugh map to minimize the combinatorial logic. Can you use gates with more than 2 inputs? Have you drawn the State Diagrams associated with this problem?

EternityMech said:
the Answer is 10 but i have no idea how they got 10 from. do you think you know? thanks

Is u an output and not counted in the Q+ logic gate total? And if both x and x' are given, isn't 10 the obvious answer if the equations are implemented exactly as written?
 

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