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List of top Computer Awareness Questions on Boolean Algebra

If \( x \) and \( y \) are Boolean variables, then which of the following statement is/are incorrect?
a. \( x \lor 0 = x, \, x \land 1 = x \)
b. \( x \lor x' = 1, \, x \land x' = 0 \)
c. \( x \land (x \lor y) = x \)
d. \( x \land (x \land y) = x \lor y \)
  • Karnataka PGCET - 2024
  • Karnataka PGCET
  • Computer Awareness
  • Boolean Algebra
The dual of \( x \lor (y \land 0) \) is
  • Karnataka PGCET - 2024
  • Karnataka PGCET
  • Computer Awareness
  • Boolean Algebra
In Boolean algebra, if \( a \land x = b \land x \) and \( a \land x' = b \land x' \), then which of the following statements is correct ?
  • Karnataka PGCET - 2024
  • Karnataka PGCET
  • Computer Awareness
  • Boolean Algebra
In Boolean algebra \( [B, \land, \lor, ', 0, 1] \), the value of \( x' \land (x \lor y) \) is
  • Karnataka PGCET - 2024
  • Karnataka PGCET
  • Computer Awareness
  • Boolean Algebra