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How many 3-line-to-8-line decoders are required for a 5-of-32 decoder?

  • a)
    1

  • b)
    2

  • c)
    4

  • d)
    8

Correct answer is option 'C'. Can you explain this answer?
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How many 3-line-to-8-line decoders are required for a 5-of-32 decoder?...


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How many 3-line-to-8-line decoders are required for a 5-of-32 decoder?...
Explanation:

To design a 1-of-32 decoder, we need 32 output lines. Each output line is associated with a unique input code, and all other output lines are in the inactive state.

Each output line can be obtained by activating a particular combination of inputs. A 3-line-to-8-line decoder can generate eight output lines based on a 3-bit input code. Therefore, we need multiple 3-line-to-8-line decoders to generate 32 output lines.

Let's see how many 3-line-to-8-line decoders are required for a 1-of-32 decoder.

Calculation:

- A 3-line-to-8-line decoder generates 8 output lines.
- To generate 32 output lines, we need 32/8 = 4 3-line-to-8-line decoders.
- Each decoder will be activated based on a 2-bit input code obtained from the remaining address lines.
- The output lines of all four decoders can be combined using OR gates to obtain the final 32 output lines.

Therefore, the correct option is (c) 4.
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Community Answer
How many 3-line-to-8-line decoders are required for a 5-of-32 decoder?...
32/8=4 so 4 is the answer
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