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Which of the following expressions is not equivalent to X ' ?

  • A.X NAND X
  • B.X NOR X
  • C.X NAND 1
  • D.X NOR 1

Answer: D

Correct answer: X NOR 1

Work each one out. \( X\,\text{NAND}\,X=(X\cdot X)'=X' \); \( X\,\text{NOR}\,X=(X+X)'=X' \); \( X\,\text{NAND}\,1=(X\cdot 1)'=X' \). But \( X\,\text{NOR}\,1=(X+1)'=1'=0 \), which is a constant, not \(X'\).

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