$1.(20$ pts$)$ Recall your lab $7($b$).$ You used a negative edge triggered JK Flip Flop, $74$HC$112$ series as shown in the following figure.

The $\backslash (1$ J$,1$ K$,1$ C L K$,1\backslash$overline$\{$P R E$\}\backslash )$ and $\backslash (1\backslash$overline$\{$C L R$\}\backslash )$ waveforms are applied as shown below. Draw the $1$ Q output on the space given below the inputs.

$2.(10$ pts$)$ Which of the following statements is true? Explain.

a$)$ Asynchronous events are controlled by a clock.

b$)$ Only asynchronous events need a control clock.

c$)$ Asynchronous events occur independently of the circuit clock.

d$)$ Synchronous events do not need a clock to control them.