Suppose you are hired by Samsung to help with the design of anew dehumidifier

Suppose you are hired by Samsung to help with the design of anew dehumidifier. This device removes excess moisture from the air to produce a more breathable environment (particularly useful to those with respiratory conditions). You are working on building the logic gates needed to activate the device (which we shall refer to as the "activation switch"). The following conditions must hold for the activation switch to turn the dehumidifier on (we already assume the device Is plugged in and the on button is pushed).

• The air humidity in the room must exceed 20%, but
• The container that holds the captured moisture must be less than 3/4 full.
• When the "override" button is pressed, the humidifier will turn on, regardless of the humidity and volume of captured moisture in the container

Questions:

1. There are three simple propositions present in the above conditions. Identify and define those three conditions as the propositions p, q, and r.

2. Write a truth table that shows the possible states of each of the three conditions and the outcome (1 for "humidifier is on", O for "humidifier is off"). You will have four columns, total.

3. Write out the mintern expansion for your truth table.

4. Draw the circuit using "and" and "or" gates.