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.

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.

Part A:

The implementation for this part must use only the three basic logic gates

$($AND$,$ OR$,$ NOT$).$

Each AND gate and each OR gate can have only $2$ inputs.

Each NOT gate can have only $1$ input.

No other logic gates or circuits are permitted to be used in your circuit

for Part A$.$

You are required to implement a circuit where the user $($you$)$ can input a value

for the month $($M$)$ using values $($M$1,$ M$2,$ M$3$ and M$4).$

The circuit decodes the M$1,$ M$2,$ M$3$ and M$4$ values using a decoder $($see

lecture notes$)$ made up of only the permitted logic gates. There are five $(5)$

needed outputs as noted in Table $1.$ Table $1$: Input and output values for Part A$.$

$\begin{array}{cc}M& \text{V}\text{a}\text{l}\text{u}\text{e}\\ 0& 1\\ 2& 3\\ 4& 5\\ 6& 7\\ 8& 9\\ 10& 11\\ 12& 13\\ 14& 15\end{array}$

$\backslash$table$[[$INPUT$,$OUTPUT$],[$M$1,$M$2,$M$3,$M$4,$January,$\backslash$table$[[$Even$],[$month$]],\backslash$table$[[$Odd$],[$month$]],$December,Error,$],[0,0,0,0,1,0,0,0,0,],[0,0,0,1,0,0,1,0,0,],[0,0,1,0,0,1,0,0,0,],[0,0,1,1,0,0,1,0,0,],[0,1,0,0,0,1,0,0,0,],[0,1,0,1,0,0,1,0,0,],[0,1,1,0,0,1,0,0,0,],[0,1,1,1,0,0,1,0,0,],[1,0,0,0,0,1,0,0,0,],[1,0,0,1,0,0,1,0,0,],[1,0,1,0,0,1,0,0,0,],[1,0,1,1,0,0,0,1,0,],[1,1,0,0,0,0,0,0,1,],[1,1,0,1,0,0,0,0,1,],[1,1,1,0,0,0,0,0,1,],[1,1,1,1,0,0,0,0,1,]]$

For Part A$,$ each of the five $(5)$ outputs will be displayed with a single output pin $($green circle in Logisim$)$ resulting in $5$ outputs for your Part A circuit:

DRAW THE CIRCUIT IN LOGISIM FOR THE CIRCUITS AND SHOW THE OUTPUT.