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32 decoder circuit can be implemented with ______.
- a)One 2 : 4 decoder and four 3 : 8 decoders
- b)Four 3 : 8 decoders
- c)Two 3 : 8 decoders
- d)Eight 2 : 4 decoders
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
32 decoder circuit can be implemented with ______.a)One 2 : 4 decoder ...
Answer:
To implement a 32 decoder circuit, we need to decode 32 input lines into 32 output lines. We can achieve this using one 2:4 decoder and four 3:8 decoders.
Explanation:
A 2:4 decoder has 2 input lines and 4 output lines, while a 3:8 decoder has 3 input lines and 8 output lines. Let's break down the implementation step by step.
Step 1: Using a 2:4 decoder
- A 2:4 decoder has 2 input lines, which means it can decode 2^2 = 4 possible input combinations.
- Since we need to decode 32 input lines, we will need 32/4 = 8 such 2:4 decoders.
- Each 2:4 decoder will decode 2 input lines into 4 output lines.
- So, using 8 such 2:4 decoders, we will be able to decode 2*8 = 16 input lines into 8*4 = 32 output lines.
Step 2: Using four 3:8 decoders
- Now, we have 16 input lines decoded into 32 output lines.
- We need to decode the remaining 16 input lines into the remaining 32 output lines.
- For this, we can use four 3:8 decoders.
- Each 3:8 decoder will decode 3 input lines into 8 output lines.
- So, using four 3:8 decoders, we will be able to decode 4*3 = 12 input lines into 4*8 = 32 output lines.
Conclusion:
By using one 2:4 decoder and four 3:8 decoders, we can implement a 32 decoder circuit. The 2:4 decoder will decode 16 input lines into 32 output lines, and the four 3:8 decoders will decode the remaining 16 input lines into the remaining 32 output lines. Therefore, option 'A' is the correct answer.
To implement a 32 decoder circuit, we need to decode 32 input lines into 32 output lines. We can achieve this using one 2:4 decoder and four 3:8 decoders.
Explanation:
A 2:4 decoder has 2 input lines and 4 output lines, while a 3:8 decoder has 3 input lines and 8 output lines. Let's break down the implementation step by step.
Step 1: Using a 2:4 decoder
- A 2:4 decoder has 2 input lines, which means it can decode 2^2 = 4 possible input combinations.
- Since we need to decode 32 input lines, we will need 32/4 = 8 such 2:4 decoders.
- Each 2:4 decoder will decode 2 input lines into 4 output lines.
- So, using 8 such 2:4 decoders, we will be able to decode 2*8 = 16 input lines into 8*4 = 32 output lines.
Step 2: Using four 3:8 decoders
- Now, we have 16 input lines decoded into 32 output lines.
- We need to decode the remaining 16 input lines into the remaining 32 output lines.
- For this, we can use four 3:8 decoders.
- Each 3:8 decoder will decode 3 input lines into 8 output lines.
- So, using four 3:8 decoders, we will be able to decode 4*3 = 12 input lines into 4*8 = 32 output lines.
Conclusion:
By using one 2:4 decoder and four 3:8 decoders, we can implement a 32 decoder circuit. The 2:4 decoder will decode 16 input lines into 32 output lines, and the four 3:8 decoders will decode the remaining 16 input lines into the remaining 32 output lines. Therefore, option 'A' is the correct answer.
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Community Answer
32 decoder circuit can be implemented with ______.a)One 2 : 4 decoder ...
Concept:
- A decoder is a combinational logic constructed with logic gates.
- It is the reverse of the encoder.
- A decoder circuit is used to transform a set of digital input signals into an equivalent decimal code of its output. For ‘n’ inputs a decoder gives ‘2n’ outputs.
- Block diagram of the Decoder is shown below:
Decoder expansion
n1 × m1 → n2 × m2
The number of D2 decoder required is given as:
∑ K = K1 + K2 + K3 + ------
Calculation:
One 2:4 decoder and four 3:8 decoders can represent 5:32 decoder in the following way:
Hence option (A) is the correct answer.
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32 decoder circuit can be implemented with ______.a)One 2 : 4 decoder and four 3 : 8 decodersb)Four 3 : 8 decodersc)Two 3 : 8 decodersd)Eight 2 : 4 decodersCorrect answer is option 'A'. Can you explain this answer?
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