ACME Toy Company is a national supplier of children$$s toys. They currently have software to manage their stock inventory but are very worried about hacking and cybersecurity so have decided to move their inventory system to a hardware solution.

You have been tasked to design the digital circuit to help manage their stock inventory and facilitate stock changes in their toy warehouse. The company finds that much of their stock movement happens differently across the year and they want their system to use the month as the main input. Each month is represented as a number from $0$ to $11$ in the circuit.

$0$ January

$4$ May

$8$ September

$1$ February $5$ June

$9$ October

$2$ March

$6$ July

$10$ November

$3$ April

$7$ August

$11$ December$$Stock movement through the months varies and needs to be considered across:

$$ January $($the beginning of the year needs more stock$)$

$$ December $($the end of the year needs less stock$)$

$$ Odd months, February, April, June, August, October $($are a bit slower$)$ Even months, March, May, July, September, November $($have slightly

increased activity$)$

$$ Month values above $11$ are not used and will result in an error displayed

for that input.