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The number of 4 line to-16 line decoders required to make an 8-line-to-256 line decoder is
Correct answer is '17'. Can you explain this answer?
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The number of 4 line to-16 line decoders required to make an 8-line-to...
8-line to-256-line decoder using 4-line to-16-line decoders is shown below:
Number of 4 x 16 MUX required
Number of 4 x 16 MUX required
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The number of 4 line to-16 line decoders required to make an 8-line-to...
Solution:
To make an 8-line-to-256 line decoder, we need to use a combination of smaller decoders.
We know that a 4-line-to-16-line decoder can decode 4 input lines into 16 output lines.
To make an 8-line-to-256-line decoder, we need to use 4 decoders in the following manner:
1. Connect the 3 most significant bits of the 8 input lines to a 4-line-to-16-line decoder. This will give us 16 output lines.
2. Connect the remaining 5 least significant bits of the 8 input lines to a 3-line-to-8-line decoder. This will give us 8 output lines.
3. Connect the 16 output lines from the first decoder to the enable inputs of 16 4-line-to-16-line decoders.
4. Connect the 8 output lines from the second decoder to the enable inputs of 8 4-line-to-16-line decoders.
5. Finally, connect the 256 output lines from the 17 decoders to the output lines of the 8-line-to-256-line decoder.
Therefore, the number of 4-line-to-16-line decoders required to make an 8-line-to-256-line decoder is 17.
To make an 8-line-to-256 line decoder, we need to use a combination of smaller decoders.
We know that a 4-line-to-16-line decoder can decode 4 input lines into 16 output lines.
To make an 8-line-to-256-line decoder, we need to use 4 decoders in the following manner:
1. Connect the 3 most significant bits of the 8 input lines to a 4-line-to-16-line decoder. This will give us 16 output lines.
2. Connect the remaining 5 least significant bits of the 8 input lines to a 3-line-to-8-line decoder. This will give us 8 output lines.
3. Connect the 16 output lines from the first decoder to the enable inputs of 16 4-line-to-16-line decoders.
4. Connect the 8 output lines from the second decoder to the enable inputs of 8 4-line-to-16-line decoders.
5. Finally, connect the 256 output lines from the 17 decoders to the output lines of the 8-line-to-256-line decoder.
Therefore, the number of 4-line-to-16-line decoders required to make an 8-line-to-256-line decoder is 17.
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The number of 4 line to-16 line decoders required to make an 8-line-to-256 line decoder isCorrect answer is '17'. Can you explain this answer?
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