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Automating Manufacturing Systems - Process Control and ...

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plc boolean - 6.38<br />

2. Simplify the following Boolean equation <strong>and</strong> write a ladder logic program to implement it.<br />

X = ( ABC + ABC + ABC + ABC + ABC)<br />

3. Convert the following ladder logic to a Boolean equation. Simplify the equation using Boolean<br />

algebra, <strong>and</strong> then convert the simplified equation back to ladder logic.<br />

C<br />

A<br />

B<br />

D<br />

X<br />

B<br />

A<br />

D<br />

D<br />

4. Use Boolean equations to develop simplified ladder logic for the following truth table where A,<br />

B, C <strong>and</strong> D are inputs, <strong>and</strong> X <strong>and</strong> Y are outputs.<br />

A<br />

B<br />

C<br />

D<br />

X<br />

Y<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

0<br />

1<br />

1<br />

1<br />

1<br />

1<br />

1<br />

1<br />

1<br />

0<br />

0<br />

0<br />

0<br />

1<br />

1<br />

1<br />

1<br />

0<br />

0<br />

0<br />

0<br />

1<br />

1<br />

1<br />

1<br />

0<br />

0<br />

1<br />

1<br />

0<br />

0<br />

1<br />

1<br />

0<br />

0<br />

1<br />

1<br />

0<br />

0<br />

1<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

0<br />

0<br />

0<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

1<br />

0<br />

0<br />

0<br />

0<br />

0<br />

1<br />

1<br />

1<br />

0<br />

0<br />

0<br />

0<br />

0<br />

1<br />

1<br />

1<br />

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

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