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Digital Logic T...

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  • Question 1
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    If \(X\;\# \;Y = \overline {\overline X.Y} \;then\;\overline {X\# Y} \;\# \;\overline X\) is equivalent to 

  • Question 2
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    If X = 0 in the logic equation, \(\left[ {X + Z\left\{ {Y + \left( {Z + \bar XY} \right)} \right\}} \right]\left[ {\bar Y + \bar X\left( {Z + Y} \right)} \right] = 0\) then

  • Question 3
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    Consider the following Boolean expression:

    \(\left( {\bar A + \bar B} \right)\left[ {\overline {A\left( {B + C} \right)} } \right] + A\left( {\bar B + \bar C} \right)\)

    It can be represented by a single three-input logic gate. Identify the gate.

  • Question 4
    1 / -0

    What is the probability that the below-given f(x, y, z) will return 1?

    \(f\left( {x,\;y} \right) = \;\bar x + \bar y{\rm{\;}} + x.z\left( {\overline {x.\left( {y + z} \right)} } \right)\)

    where f(x, y, z) is a Boolean function. (answer upto 2 decimal places)

  • Question 5
    1 / -0

    The minimum Boolean expression for the following circuit is

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