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Question 2. Design a 16-1 MUX using any number of lower MUXs, such as 8-1 or...

Question 2.

Design a 16-1 MUX using any number of lower MUXs, such as 8-1 or 4-1 only. No other gates are allowed.

Expert Solution

2.ANSWER

GIVENTHAT:

To Design a 16-1 MUX using any number of lower MUXs, such as 8-1 or 4-1 only. No other gates are allowed.

Constructing 16:1 multiplexer using 8:1 multiplexer:

Using "2" 8:1 multiplexers to design 16:1 multiplexer.

In case of 8:1 MUX:

number of inputs = 23 = 8

Therefore, 3 select lines.

In case of 16:1 MUX:

number of inputs = 2^{4} = 16

Therefore, 4 select lines.

Since the select lines are different for both, one select line has to be adjusted. It will act like an "enable".

Design:

There are 4 select lines namely "S0", "S1", "S2" and "S3". S3 is "enable" (En) and it is active low.

Table:

venereology answered 2 hours ago

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