Most efficient logic for 10 bit decoder

In summary: You could use a discrete 10-bit decoder, for example, and simply enable one of the 1024 output lines. In summary, a systematic, low fanout, fanin, propagation delay, and capacitance design is desired for a decoder. Various websites that implement this design are available.
  • #1
What is a good way to implement the logic for a 10 bit (10 to 1024) decoder? A method that is systematic, has low fanout, fanin, propogation delay, and capacitance is desired. It would be helpful if you could find some websites that implement this design.

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  • #2
To be sure, what are you looking for? An A to D converter, for example, or the logic to take a ten-line input and from it, select and enable one of 1024 output lines (that's awfully big)? If it's the latter, you can (simply) take two three-to-eight decoders, and a four-to-sixteen line demux, and feed the proper outputs of these to 1024 three-input NANDs (that's an awful lot of NANDs). For a distributed system, that wouldn't be too bad, but I don't think you'd want to derive that many signals in one place.

As an alternative, if it's distributed (for example, on thirty two cards, each putting out thirty two lines) you could, for example, put two four-to-sixteen line decoders on each, and include the proper select logic for each of the decoders.

Fan-out for the for the ten signal drive lines would be a consideration. Each of the four low-order lines would have to drive sixty four decoder inputs (possibly OK for CMOS, but I wouldn't want to try that directly with TTL; buffering would be needed - - probably at the both - input to each of the daughter boards and the output from the main board). This, by the way, is the type of problem typically encountered when designing memory arrays.

If it all has to be done from a single board or module, you might look to using some form of programmable logic.

  • #3
Another driving factor, is what do you intend to do with the output lines? If it is to drive something like a set of commands (on/off, etc.) or to enable sampling inputs (telemetry, etc.), considerations like those above are OK. If, however it is to drive something like a scanned LED display, etc., additional simplification might be possible.


What is the purpose of a 10 bit decoder?

A 10 bit decoder is used to convert a 10-bit binary input into a corresponding output based on the logic circuit it is designed with. This allows for efficient processing of digital signals in various electronic devices.

What makes a logic circuit efficient for a 10 bit decoder?

An efficient logic circuit for a 10 bit decoder is one that minimizes the number of logic gates used while still accurately decoding the input. This helps reduce the overall complexity and cost of the circuit.

How is the efficiency of a 10 bit decoder measured?

The efficiency of a 10 bit decoder is typically measured by its gate count, which is the total number of logic gates used in the circuit. A lower gate count indicates a more efficient design.

What factors should be considered when designing an efficient logic for a 10 bit decoder?

Some key factors to consider when designing an efficient logic for a 10 bit decoder include the number of inputs and outputs, the desired speed of operation, and any specific requirements or constraints of the application.

Are there any common design techniques for creating an efficient logic for a 10 bit decoder?

Yes, there are various design techniques that can be used to create an efficient logic for a 10 bit decoder, such as Karnaugh maps, Boolean algebra, and various logic optimization techniques. The most suitable technique will depend on the specific requirements and constraints of the circuit.

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