Q36

The control signal functions of a $4$-$bit$ binary counter are given below (where $X$ is “don’t care”):

$$\small {\begin{array}{|c|c|c|c|l|}\hline \textbf{Clear}& \textbf{Clock}& \textbf{Load}&\bf{ Count}& \textbf{Function}\\\hline 1&\text{X}&\text{X}&\text{X}&\text{Clear to 0} \\ 0&\text{X}&0&0&\text{No Change}\\ 0&\uparrow&1&\text{X}& \text{Load Input} \\ 0&\uparrow&0&1& \text{Count Next} \\ \hline \end{array}}$$

The counter is connected as follows:

Assume that the counter and gate delays are negligible. If the counter starts at $0,$ then it cycles through the following sequence: