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Automating Manufacturing Systems - Process Control and ...

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plc boolean - 6.12<br />

A = B⋅<br />

C⋅<br />

( D+ E+<br />

F)<br />

D<br />

E<br />

F<br />

C<br />

B<br />

A<br />

D<br />

C<br />

B<br />

A<br />

E<br />

F<br />

Figure 6.9<br />

The Simplified Form of the Example<br />

The equation can also be manipulated to other forms that are more routine but less<br />

efficient as shown in Figure 6.10. The equation shown is in disjunctive normal form - in<br />

simpler words this is ANDed terms ORed together. This is also an example of a canonical<br />

form - in simpler terms this means a st<strong>and</strong>ard form. This form is more important for digital<br />

logic, but it can also make some PLC programming issues easier. For example, when an<br />

equation is simplified, it may not look like the original design intention, <strong>and</strong> therefore<br />

becomes harder to rework without starting from the beginning.<br />

www.PA<strong>Control</strong>.com

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