Exercise $4.[20$ marks$]$ Counter is the circuit $($made up of flipflops and logic gates$)$ which

is used to count the number of clocks. There are two types of counters: synchronous

counters and asynchronous counters.

Synchronous counters are the ones in which all the flipflops are connected to one clock.

Asynchronous counters are the ones in which output of previous flipflop becomes the clock

for next flipflop.

Consider we've a synchronous counter which consists of two T flipflops. We are observing

an output of these flipflops to get the output of the counter $($these represents two bits$).$

The counter gives us following outputs in the exact same order:

$00011100011100$ and $soon.$

Using this sequence of outputs, design a circuit diagram for the counter using $T$ flipflops which

gives the same output. $($You can use any logic gates along with $T$ flipflops$).$