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

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In summary: When the enable signal is disabled or invalid code is applied, the decoder will output zeros. When enabled, the decoder will decode input codes from 000 to 101 and assert one of its 6 outputs based on the input code. The block diagram for a 3-to-6 decoder will have 3 input lines, an enable line, and 6 output lines. This can be represented using a truth table and a Karnaugh map to find the minimal set of terms that cover the map or its complement. In summary, a 3-to-6 binary decoder has an enable signal and outputs zeros when disabled or invalid code is applied. When enabled, it decodes input codes
  • #1
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?
 
  • #3
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.
 
  • #4
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
 

What is a 3-to-6 decoder?

A 3-to-6 decoder is a digital logic circuit that takes in three inputs and produces six outputs. It is used to decode a binary pattern and activate a specific output based on the input combination.

How does a 3-to-6 decoder work?

A 3-to-6 decoder works by using three input lines to determine which of the six output lines will be activated. Each output line corresponds to a unique input combination, and when the correct combination is received, the corresponding output line will be activated.

What are the applications of a 3-to-6 decoder?

A 3-to-6 decoder is commonly used in digital electronics to control multiple devices based on a specific input combination. It can also be used in memory addressing, data routing, and control systems.

What are the advantages of using a 3-to-6 decoder?

One advantage of using a 3-to-6 decoder is that it simplifies the design of complex digital circuits by reducing the number of logic gates needed. It also allows for more efficient use of resources and reduces the chances of errors in decoding.

What are the limitations of a 3-to-6 decoder?

A 3-to-6 decoder has limited functionality and can only decode three inputs into six outputs. It also requires additional logic gates to handle more inputs, which can increase the complexity of the circuit. Additionally, a 3-to-6 decoder may have a higher power consumption compared to other decoder designs.

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