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Construct a 16 × 1 multiplexer using 2 × 1 multiplexer. How many 2 × 1 multiplexer are required to construct?
  • a)
    16
  • b)
    15
  • c)
    8
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Construct a 16 × 1 multiplexer using 2 × 1 multiplexer. Ho...
To implement 2n × 1 MUX using 2 × 1 MUX, the total number of 2 × 1 MUX required is (2n - 1).
∴ The number of 2 × 1 multiplexer required to implement 16 × 1 MUX will be:
n = 16 - 1 = 15
Or we can follow the below steps to calculate the same:
1st stage = 16/2 = 8
2nd  stage = 8/2 = 4
3rd stage = 4/2 = 2
4th stage = 2/2 = 1
The sum will give the total number of MUX required to implement 16 × 1 multiplexer using 2 × 1, i.e.
n = 8 + 4 + 2 + 1 = 15
Important Point
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Construct a 16 × 1 multiplexer using 2 × 1 multiplexer. How many 2 × 1 multiplexer are required to construct?a)16b)15c)8d)4Correct answer is option 'B'. Can you explain this answer?
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