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Question

The simplified form of Boolean expression
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(a+¯b+c+¯d)+(b+¯c)
is

A
1
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B
¯¯¯¯¯¯¯¯a.b
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C
0
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D
a, b
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Solution

The correct option is C 0
F = ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(a+¯b+c+¯d)+(b+¯c)
= ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(a+¯b+c+¯d. ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(b+¯c)
= ¯a.b.¯c.d.¯b.c
F = 0

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