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DLD Logic Gate Question

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Consider you are required to design a digital system that monitors a patient. Three different biosensors B1, B2 and B3 are installed for the patient monitoring his diabetes, heart beat and blood pressure, respectively. Each sensor produces logic 1 when its corresponding parameter is in safer range and produces logic 0 when its corresponding parameter is in alarming range. Three identical alarms X,Y and Z ring when they are provided logic 0 and stay silent otherwise. Alarms must ring according to the following conditions:

Ø If only diabetes and heart beat reach alarming states, both alarms X and Z should ring with Y silent.

Ø If diabetes or heart beat or blood pressure, each alone, reaches its alarming state, only Z should turn on.

Ø All alarms should remain off for every other condition.

You are required to provide truth table, simplified Boolean experessions and a logic circuit to implement required system.
 

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