Question

A museum has three rooms, each with a motion sensor (m0, m1, and m2) that outputs 1 when motion is detected. At night, the only person in the museum is one security guard who walks from room to room. Using the combinational design process, create a circuit that sounds an alarm (by setting an output A to 1) if motion is ever detected in more than one room at a time (i.e., in two or three rooms), meaning there must be an intruder or intruders in the museum.

a. Describe the behavior of this problem with a truth table.

b. Find the minimal logic expression based on the truth table. You can use either K-map or Boolean algebra.

c. Construct the gate-level circuit schematic using the logic expression derived in problem b.

Answer 1

a) see attachment

b) A= m0m1+ m1m2+ m0m2

see attachment for K-map

c) see attachment

Step-by-step explanation:

a) see attachment for truth table

b) see attachment for k-map

A= m0m1+ m1m2+ m0m2

c) see attachment for gate level circuit