Question

Question 4. [20 marks] A jet aircraft employs a system for monitoring the speed   S , pressure   P , and temperature   T values of its engines using sensors that operate as follows:
S sensor output = 0 only when T SS  (rpm) P sensor output = 0 only when T PP  (psi) T sensor output = 0 only when T TT  (℉). Assume that a HIGH at output W activates the alarm. a) Design the logic circuit with these three sensor outputs as inputs so that the alarm will be activated whenever either of the following conditions exists:
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 S > T S and P > T P  S > T S and T > T T
[5 marks]
b) Sketch the designed circuit diagram in a) by using only NAND gates
[5 marks]
c) Sketch the designed circuit diagram in a) by using only NOR gates
[5 marks] d) Compare the number of ICs that we need to use to implement the above designed circuits.

Answer 1

SOLUTION:-

a)

  As per the conditions given, the alarm logic equation and its circuit are shown in the image below:

b)

  The above-mentioned Boolean equation can be transformed to suit NAND gated based implement. This implementation and the equivalent Boolean equation are shown in the image below:

c)

For a NOR gated based implementation, we again take the help from another Boolean theorem as shown below:

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