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Automating Manufacturing Systems - Process Control and ...

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plc karnaugh - 7.11<br />

13. Consider the following boolean equation.<br />

X = ( A+<br />

BA)A+ ( CD + CD + CD)<br />

a) Can this Boolean equation be converted directly ladder logic. Explain your<br />

answer, <strong>and</strong> if necessary, make any changes required so that it may be converted<br />

to ladder logic.<br />

b) Write out ladder logic, based on the result in step a).<br />

c) Simplify the equation using Boolean algebra <strong>and</strong> write out new ladder logic.<br />

d) Write a Karnaugh map for the Boolean equation, <strong>and</strong> show how it can be used to<br />

obtain a simplified Boolean equation.<br />

7.4 PRACTICE PROBLEM SOLUTIONS<br />

1.<br />

CD<br />

AB AB A B AB<br />

1 1 1 1<br />

CD<br />

1<br />

1<br />

0<br />

1<br />

C D<br />

0<br />

0<br />

0<br />

1<br />

CD<br />

0<br />

0<br />

0<br />

1<br />

2.<br />

00<br />

CD<br />

01 11<br />

10<br />

AB<br />

00<br />

01<br />

11<br />

10<br />

B<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

C<br />

0<br />

1<br />

1<br />

0<br />

0<br />

1<br />

1<br />

0<br />

X<br />

=<br />

BC<br />

X

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