How to Design and Analyze a 3-to-6 Decoder?

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Discussion Overview

The discussion focuses on the design and analysis of a 3-to-6 binary decoder, including its behavior with an enable signal, the creation of a truth table, and the drawing of a block diagram. The scope includes theoretical understanding and practical application in digital logic design.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant describes the behavior of a 3-to-6 binary decoder, noting that it has an enable signal and outputs zeros when disabled or given an invalid code.
  • Another participant questions whether the term "binary decoder" refers to a logic circuit for lighting a 7-segment display or something different.
  • A participant reiterates the decoder's functionality, emphasizing the need to write a truth table based on the three inputs and the enable signal, asserting that one of the six outputs will be activated based on the input code.
  • A later reply outlines a general approach to solving such problems, suggesting steps including writing the truth table, transferring it to a Karnaugh map, and finding minimal terms for the K-map or its complement.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and approaches to the problem, with no consensus on a single method or solution. Some participants provide steps for analysis while others seek clarification on the initial question.

Contextual Notes

Participants have not fully defined the assumptions regarding the enable signal or the specific application of the decoder, and there may be dependencies on the definitions of terms used in the discussion.

funjoke88
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a 3-to 6 binary decoder has an enable signal.When disabled or invalid code is applied to the decoder ,the decoder will output zeros.When enabled,input codes from 000 to 101 are decoded.Draw the block diagram of 3-to-6 decoder and define its behaviour using a truth table.

may i know how to do this question ?
 
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When you say binary decoder do you mean the logic to light up a 7-bar digit display or something else?
 
funjoke88 said:
a 3-to 6 binary decoder has an enable signal.When disabled or invalid code is applied to the decoder ,the decoder will output zeros.When enabled,input codes from 000 to 101 are decoded.Draw the block diagram of 3-to-6 decoder and define its behaviour using a truth table.

may i know how to do this question ?

Start by writing down the truth table. You are given 3 inputs and the enable, and you have 6 outputs. A 3-to-6 decoder will assert one of its 6 outputs based on what the input code is. So for example, when the input code is 101, the last output is asserted and no other ones are. Label your 6 output lines from 0 to 5.
 
All of these sorts of problems will follow the same steps:

1) Write out the complete truth table
2) Transfer the truth table to a Karnaugh map
3) Find the minimal set of terms which cover the K-map or its complement

- Warren
 

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