The Problem

We are designing a circuit for an automatic door like those you see at supermarkets. The door should open only when a person is detected walking through or when a person presses a switch $($such as the wheelchair button$)$ to have the door open. The door should only operate if it has been unlocked.

output: f $=1($Opens Door$)$

inputs

p $=1$ Person Detected

h $=1$ Switch Holding the Door Open

c $=1$ Door Closed$/$Locked

Want door to open when

the door is unlocked and person walking through $($c$=0$ and p$=1)$

the door is unlocked and the switch is set to hold it open $($c$=0$ and h$=1)$

The resulting logic equation is:

f $=$ hc$\text{'}+$ pc$\text{'}$

The resulting circuit therefore contains

two AND gates

one OR gate

one NOT gate $($or inverter$)$

Due January $19$ at $11$:$30$ PM

Starts Jan $12,20247$:$00$ AM