Project description You are tasked with designing a digital system that counts the number of people in the room. The one door through which people enter the room has a photocell that changes a binary signal X while the light is interrupted. They leave the room from a second door with a similar photocell that changes a binary signal Y while the light is interrupted. The maximum number of people that can be accommodated in the room is dened by an input signal max_occupancy with value up to a maximum of 63. When the room is full, the system must emit a red light by changing a binary signal Z. Finally, the system can be reinitialized with a reset signal. 1. Provide a conceptual diagram for the digital system. Clearly identify the different blocks such as multiplexers, ip-ops, incrementor, etc. and their interconnect. 2. Model your circuit using VHDL. 3. Provide a relevant testbench. Make sure to cover enough scenarios to verify your design