GATE CS 2017 Set 2 — Question 5

Multiple choice 1 mark Question 5 2017

Question 5

MCQ 1 marks · −0.33 Digital Logic

Consider the Boolean operator \(\#\) with the following properties:

\(x \# 0 = x\), \(x \# 1 = \overline{x}\), \(x \# x = 0\) and \(x \# \overline{x} = 1\).

Then \(x \# y\) is equivalent to:

A \(x\overline{y} + \overline{x}y\) B \(x\overline{y} + \overline{x}\,\overline{y}\) C \(\overline{x}\,\overline{y} + xy\) D \(xy + \overline{x}y\)

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GATE CS — Computer Science & IT 2017 Digital Logic

Source: GATE 2017 Computer Science and Information Technology, Set 2, Q5 (set and question number approximate)