please draw

$1.[5]$ Design a $4-$bit binary DOWN counter with Parallel Load.

Your design may use the following components:

$-$ Registers

$-$ Adders, Subtractors

$-$ Incrementers, Decrementers

$-$ Multiplexers, Decoders, Encoders

$-$ Logic gates

Clearly label all components and signals. Clearly show all connections.

$2.[5]$ Design a counter that counts from $13$ down to $6,$ and then starts over again.

Your design may use the following components:

$-$ A $4-$bit binary DOWN counter with Parallel Load. $($designed in the previous problem$).$

$-$ Logic gates. $($Use as few logic gates as possible$).$