Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > How many 3 × 8 line decoders with an en...
Start Learning for Free
How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?
- a)7
- b)8
- c)9
- d)10
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
How many 3 × 8 line decoders with an enable input line are neede...
Concept:
Decoder expansion
n1 × m1 → n2 × m2
D1 D2
Number of D2 decoder required = ∑ K
⋮
Till 0 or 1
Calculation:
Given decoder 1 is 3 × 8 and the second decoder is 6 × 64
64/8 = 8
8/8 = 1
Number of 3 × 8 decoders = 8 + 1
Number of 3 × 8 decoders = 9
Important Points
Decoder expansion
n1 × m1 → n2 × m2
D1 D2
Number of D2 decoder required = ∑ K
⋮
Till 0 or 1
Calculation:
Given decoder 1 is 3 × 8 and the second decoder is 6 × 64
64/8 = 8
8/8 = 1
Number of 3 × 8 decoders = 8 + 1
Number of 3 × 8 decoders = 9
Important Points
Free Test
FREE
| Start Free Test |
Community Answer
How many 3 × 8 line decoders with an enable input line are neede...
Understanding the Problem
To construct a 6 × 64 line decoder, we need to decode 6 input bits into 64 output lines. A 3 × 8 line decoder can decode 3 input bits into 8 output lines.
Breaking Down the Requirements
- Inputs: The 6 input lines can be divided into two groups.
- First Group: Utilize 3 bits for the first decoder.
- Second Group: Utilize 3 bits for the second decoder.
Using 3 × 8 Line Decoders
1. First Level Decoding:
- Use 1 decoder for the first 3 input bits.
- This decoder will provide 8 outputs, each corresponding to a unique combination of the first 3 bits.
2. Second Level Decoding:
- Each output of the first decoder can enable one of the 8 second decoders.
- Each of these second decoders will take the remaining 3 bits as input.
- Since there are 8 outputs from the first decoder, we need 8 second decoders.
Total Count of Decoders
- 1 decoder for the first level.
- 8 decoders for the second level.
Final Calculation
By summing the decoders:
- Total decoders = 1 (first level) + 8 (second level) = 9 decoders needed.
Thus, the correct answer is option C: 9.
This arrangement allows decoding of all 6 bits into 64 unique outputs using only 3 × 8 line decoders.
To construct a 6 × 64 line decoder, we need to decode 6 input bits into 64 output lines. A 3 × 8 line decoder can decode 3 input bits into 8 output lines.
Breaking Down the Requirements
- Inputs: The 6 input lines can be divided into two groups.
- First Group: Utilize 3 bits for the first decoder.
- Second Group: Utilize 3 bits for the second decoder.
Using 3 × 8 Line Decoders
1. First Level Decoding:
- Use 1 decoder for the first 3 input bits.
- This decoder will provide 8 outputs, each corresponding to a unique combination of the first 3 bits.
2. Second Level Decoding:
- Each output of the first decoder can enable one of the 8 second decoders.
- Each of these second decoders will take the remaining 3 bits as input.
- Since there are 8 outputs from the first decoder, we need 8 second decoders.
Total Count of Decoders
- 1 decoder for the first level.
- 8 decoders for the second level.
Final Calculation
By summing the decoders:
- Total decoders = 1 (first level) + 8 (second level) = 9 decoders needed.
Thus, the correct answer is option C: 9.
This arrangement allows decoding of all 6 bits into 64 unique outputs using only 3 × 8 line decoders.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer?
Question Description
How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer?.
How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer?.
Solutions for How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer?, a detailed solution for How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many 3 × 8 line decoders with an enable input line are needed to construct a 6 × 64 line decoder without using any other logic gate?a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup