The output Y of the logic circuit given isA- w-x-y B- w - x - y C- w- x-y D- w-x-y

The correct option is B w + (x.y) Y=(ω+X).(ω+y)=ω.ω+ω.y+x.ω+x.y =ω(1+x+y)+x.y =ω+x.y ...

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Standard XII

Physics

Logic Gates

The output Y ...

Question

The output Y of the logic circuit given is

w. (x + y)

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w.(x.y)

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w + (x.y)

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w + (x + y)

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Solution

The correct option is C
w + (x.y)

$Y = (ω + X) . (ω + y) = ω . ω + ω . y + x . ω + x . y$

$= ω (1 + x + y) + x . y$

$= ω + x . y$

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The output Y of the logic circuit given is

The correct option is C w + (x.y) Y=(ω+X).(ω+y)=ω.ω+ω.y+x.ω+x.y =ω(1+x+y)+x.y =ω+x.y

The correct option is C
w + (x.y)

$Y = (ω + X) . (ω + y) = ω . ω + ω . y + x . ω + x . y$

$= ω (1 + x + y) + x . y$

$= ω + x . y$