Flow Rate Sensing Device

This flow rate sensing device is used on a liquid transport pipeline function. This device provides a 5 bit- output in which all the 5-bit becomes 0 of the flow rate is less than 10 gal/min. The first bit is 1 if the flow rate is at least 10 gal/min. The first and second bit is 1 if the flow rate is 20 gal/min. the first, second and third bit is 1 if the flow rate is at least 30 gal/min and so on. The five bit is represented by A,B,C,D, and E are used as inputs to the device that provides two outputs which is Y and Z. The output Y is 1 if the flow rate is less than 30 gal/min. and the output Z is 1 if the flow rate is at least 20 gal/min but less than 50gal/min.

First we Analyze the problem statement given and formulate a Boolean Equation for the system. Then we simplify the equation in any method in which we are comfortable with. The simplified equation would serve as our schematic diagram for the construction of the system.

Simplification:

Y= A’B’C’D’E’ + AB’C’D’E’ + ABC’D’E’

  = B’C’D’E’(A+A’) + ABC’D’E’

  = C’D’E’(AB+B’)

  = C’D’E’[(A+B’)(B+B’)]

  = C’D’E’(A+B’)

Y= AC’D’E’ + B’C’D’E’

Z= ABC’D’E’ + ABCD’E’ + ABCDE’

  = ABD’E’(C’+C) + ABCDE’

  = ABD’E’ + ABCDE’

  = ABE’(D’+CD)

  = ABE’[(D+C)(D’+D)]

  = ABE’(D’+C) type

Z= ABD’E’ + ABCE’

After obtaining our simplified equation, we can proceed to our truth table:

Now that we have our truth table, we are able to draw our schematic diagram:

And here is the Final Output(as observed in the picture, there are additional 5 LED that are placed. Those 5 LED are actually the indicators for the gal/min (10,20,30,etc). It is not necessary to add them in the circuit, but it is much more comprehensive and reasonable if they were placed in order for you to determine if the led is synchronized with the truth table and if they are functioning as well.)