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A 3 bit down counter is used to control the output of the multiplexer as shown in the figure. The counter is intially at (101)2 then output of multiplexer will follow the sequence

1) I1 0 I2 0

2) I1 I1 0 I2

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The first sequence will be followed..Let us see how..

It is given binary down counter..So counting will be from high to low number..

It is to be noted that A2  is connected to S0  , A1 is connected to S1  and Ais connected to enable line of multiplexer..Also it is a active high multiplexer so will remain active when enable = 1 else will be disabled and 0 is given as output..

So initially we have the value of AAA =  1 0 1..So value of S1S = 0 1

So output for this will be : I1

Next the value of  AAA =  1 0 0..So enable becomes 0 so output will become 0 

Then  next value of  AAA =  0 1 1.So  enable becomes 1 again and hence we see S1S which is = 1 0..So I2 is given as output..

Then he value of  AAA =  0 1  0..So enable becomes 0 so output will become 0 ..

Hence the sequence is I-- 0 -- I2 --- 0

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