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A Boolean operator $\ominus$ is defined as follows:

1 $\ominus$ 1 =1, 1 $\ominus$ 0 = 0, 0 $\ominus$ 1 = 0 and 0 $\ominus$ 0 =1

What will be the truth value of the expression (x $\ominus$ y ) $\ominus$ z = x $\ominus$ (y $\ominus$ z)?

  1. Always true
  2. Always false
  3. Sometimes true
  4. True when x,y, z are all true

3 Answers

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Ans A)Always true

It is true when x and y both in same state

for example,

In (x,y,z)

it is true for (0,1,0)

edited by
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it is a

as it is commutative.n the given boolean operator isXNOR n it is associative and commutative
Answer:

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