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How many 3-to-8 line decoders with an enable input are needed to construct a 6-to-64 line decoder without using any other logic gates?
- a)7
- b)8
- c)9
- d)10
Correct answer is option 'C'. Can you explain this answer?
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Solution:
To construct a 6-to-64 line decoder, we need to use 6 input lines and 64 output lines. Each output line can be generated from one of the 6 input lines. Thus, a 3-to-8 line decoder with an enable input can be used for each input line.
We can use the enable inputs of each 3-to-8 line decoder to select which output lines are active. For example, if we want the first output line to be active, we would enable the first 3-to-8 line decoder and disable all others.
Therefore, the total number of 3-to-8 line decoders needed to construct a 6-to-64 line decoder without using any other logic gates is:
- 6 input lines, each with a 3-to-8 line decoder with an enable input
- 1 additional 3-to-8 line decoder with an enable input to select which of the 6 input lines is active
Thus, the total number of 3-to-8 line decoders needed is 6 + 1 = 7.
Therefore, the correct option is (a) 7.
To construct a 6-to-64 line decoder, we need to use 6 input lines and 64 output lines. Each output line can be generated from one of the 6 input lines. Thus, a 3-to-8 line decoder with an enable input can be used for each input line.
We can use the enable inputs of each 3-to-8 line decoder to select which output lines are active. For example, if we want the first output line to be active, we would enable the first 3-to-8 line decoder and disable all others.
Therefore, the total number of 3-to-8 line decoders needed to construct a 6-to-64 line decoder without using any other logic gates is:
- 6 input lines, each with a 3-to-8 line decoder with an enable input
- 1 additional 3-to-8 line decoder with an enable input to select which of the 6 input lines is active
Thus, the total number of 3-to-8 line decoders needed is 6 + 1 = 7.
Therefore, the correct option is (a) 7.
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How many 3-to-8 line decoders with an enable input are needed to construct a 6-to-64 line decoder without using any other logic gates?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer?
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