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plc boolean - 6.27<br />

to simpler ladder logic.<br />

A B D D<br />

Y<br />

B<br />

A<br />

A C D<br />

18. a) Develop the Boolean expression for the circuit below.<br />

b) Simplify the Boolean expression.<br />

c) Draw a simpler circuit for the equation in b).<br />

A<br />

B<br />

C<br />

B<br />

A<br />

X<br />

C<br />

19. Given a system that is described with the following equation,<br />

X = A+ ( B⋅<br />

( A+<br />

C)<br />

+ C) + A⋅<br />

B⋅( D + E)<br />

a) Simplify the equation using Boolean Algebra.<br />

b) Implement the original <strong>and</strong> then the simplified equation with a digital circuit.<br />

c) Implement the original <strong>and</strong> then the simplified equation in ladder logic.<br />

20. Simplify the following <strong>and</strong> implement the original <strong>and</strong> simplified equations with gates <strong>and</strong><br />

ladder logic.<br />

A+<br />

( B+ C + D) ⋅ ( B+<br />

C) + A⋅<br />

B⋅( C + D)<br />

6.8 PRACTICE PROBLEM SOLUTIONS<br />

1. AND

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