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plc boolean - 6.22<br />

A = ( S⋅<br />

M⋅<br />

W) + ( S ⋅ M⋅<br />

W) + ( S ⋅M ⋅W)<br />

∴A<br />

= S⋅<br />

( M⋅<br />

W+ M⋅<br />

W+<br />

M⋅<br />

W)<br />

∴A<br />

= S⋅<br />

(( M⋅<br />

W+<br />

M⋅<br />

W) + ( M⋅<br />

W+<br />

M ⋅ W)<br />

)<br />

∴A<br />

= ( S⋅<br />

W) + ( S ⋅ M)<br />

= S⋅<br />

( W+<br />

M)<br />

W<br />

W<br />

(S*W)<br />

(S*W)+(S*M)<br />

S<br />

A<br />

M<br />

(S*M)<br />

M<br />

S<br />

W S A<br />

Figure 6.21<br />

A Boolean Equation <strong>and</strong> Implementation for the Alarm<br />

The equation <strong>and</strong> circuits shown in Figure can also be further simplified, as shown<br />

in Figure 6.22.

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