B $7-23.$ Refer to the IC counter circuit in Figure $7-107($a$).$

$($a$)$ Draw the timing diagram for outputs QDQCQBQA.

$($b$)$ What is the counter's modulus?

$($c$)$ What is the count sequence? Does it count up or down?

$($d$)$ Can we produce the same modulus with a $74$ HC $190?$ Can we produce the same count sequence with a $74$ HC $190?$

$($a$)$

FIGURE $7-107$ Problems $7-23$ and $7-24.$