1. Design a circuit to control the ceiling lights in downstairs hallway with the following specifications:

• There are three wall switches: one at the front door (A), one at the back door (B) and one in the family room (C).
• Initially, ceiling switches are off, the A switch is ON and both the B and Cswitches are OFF.
• From the above initial conditions, changing the position of any switch should turn the lights on; changing the position of any switch (again) should turn the lights off, etc.,

2. Design a automatic door opener circuit for a grocery store given following specifications:

Three inputs: person detection sensor, switch forcing hold open, key forcingclosed Door should be opened for the following cases:

i. When the switch forcing hold open is pressed and key forcing closed is not pressed

ii. When the switch forcing hold open is not pressed, sensor detects person and key forcing closed is not pressed