$74$LS$191$ counter is a synchronous UP$/$DOWN Modulo$-16$ Binary Counter. D$3-$D$0$ are parallel inputs and

Q$3-$Q$0$ are parallel outputs, where D$3$ and Q$3$ are the most significant bits. TC is the terminal count output

that becomes $1$ when the counter reaches its maximum when counting up or its minimum when counting down.

$RC$ can be used as a clock source for cascading purposes. Given that the counter is connected as shown below

and its mode of operation is described by the function table shown beside the

The sequence of operation this counter will go through is :

Count up circulating between $2$ and $9$ decimal

Count Down circulating between $14$ and $9$ decimal

Count Down circulating between $14$ and $10$ decimal

After some time, It will stay at count $8$ and does not change