$4.($i$)$ State what is meant by the modulus of a binary counter

$($ii$)$ Differentiate between an asynchronous and synchronous binary counter

$($iv$)$ Design a mod$-8$ binary ripple counter using T$-$flip flops with a clear capability

$($v$)$ Draw in wave forms for the counter cited in $4($iv$)$ clearly showing the count

with each clock pulse. Assume that the flip flop are trailing edge triggered and

are initially reset.