1)
For the first three cycles b=0, so output stays at side 1.
Output d2d1d0=001
From 4th cycle, b=1.
So every cycle, output changes from
Side 1 to side 2 and then to side 3, side 4 , and so on
So
d2d1d0=010
d2d1d0 =011
And so on
From the given options,
Option C is correct
--------------
2)
For the best operation of the circuit, input B has to satisfy both setup and hold conditions.
So B cannot change whenever it wants and has to be in synchronization with clock.
So we need to a synchronizer
Option B is correct
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