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plc boolean - 6.33<br />

15.<br />

⎛<br />

⎞<br />

⎛<br />

⎞<br />

Y = C A+<br />

A+ ( BC( A + BC)<br />

)<br />

⎜<br />

⎟<br />

⎜<br />

⎟<br />

⎝<br />

⎠<br />

⎜<br />

⎟<br />

⎝<br />

⎠<br />

⎛ ⎞<br />

⎛<br />

Y = C A+ A+ ( BC( A + B + C)<br />

)<br />

⎞<br />

⎝<br />

⎠<br />

⎜<br />

⎟<br />

⎝<br />

⎠<br />

Y = C A+ ( A+ ( BCABC)<br />

)<br />

⎛<br />

⎞<br />

Y = C A+ ( A+<br />

0)<br />

⎝<br />

⎠<br />

⎛<br />

⎞<br />

Y = C( A+ ( A + 1)<br />

)<br />

C<br />

Y<br />

⎝<br />

⎠<br />

Y = C( A+ ( 1)<br />

)<br />

Y = C( A+<br />

0)<br />

A<br />

Y<br />

=<br />

CA<br />

Y = C + A<br />

16.<br />

X = ( A+<br />

B⋅<br />

A) + ( C + D + EC)<br />

X = ( A+<br />

B⋅<br />

A) ( C + D + EC)<br />

X =<br />

X =<br />

( A) ( B⋅<br />

A) ( C + D + EC)<br />

( A) ( B⋅<br />

A) ( C + D + EC)<br />

X = AB( C + D+<br />

EC)<br />

X = AB( C + D+<br />

E)<br />

OR<br />

X = ( A+<br />

B ⋅ A) + ( C+ D+<br />

EC)<br />

X = A + B⋅<br />

A+<br />

CD( E + C)<br />

X = A + B+<br />

CDE<br />

X<br />

=<br />

AB( CDE)<br />

X = AB( C + D + E)

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