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

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SUMMARY

A 3-to-6 binary decoder operates with an enable signal and outputs zeros when disabled or when invalid codes are applied. When enabled, it decodes input codes ranging from 000 to 101, asserting one of its six outputs based on the input. The process to design this decoder includes creating a truth table, transferring it to a Karnaugh map, and identifying the minimal set of terms that cover the K-map. This structured approach ensures clarity in the design and analysis of the decoder's behavior.

PREREQUISITES
  • Understanding of binary decoding principles
  • Familiarity with truth tables
  • Knowledge of Karnaugh maps for simplification
  • Basic digital logic design concepts
NEXT STEPS
  • Study the construction of truth tables for digital circuits
  • Learn how to create and utilize Karnaugh maps for logic simplification
  • Explore the design of other types of decoders, such as 2-to-4 and 4-to-16 decoders
  • Investigate the implementation of decoders in practical applications, such as 7-segment displays
USEFUL FOR

Electronics engineers, digital circuit designers, and students studying digital logic who are looking to understand the design and analysis of binary decoders.

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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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