Skip to content
Related Articles

Related Articles

Improve Article
Save Article
Like Article

GATE | GATE CS 2013 | Question 65

  • Difficulty Level : Basic
  • Last Updated : 20 Sep, 2021

Which one of the following expressions does NOT represent exclusive NOR of x and y?
(A) xy+x’y’
(B) x⊕y’
(C) x’⊕y
(D) x’⊕y’

Answer: (D)

Explanation: By Definition of XNOR, x\odot y = x' y' + xy
So Option-A is correct.
Also by Definition of XOR, x\oplus y = x' y + xy'
Option-B is x\oplus y' = x' y' + x(y')' = x' y' + xy = x\odot y
So Option-B is also correct.
Option-C is x' \oplus y = (x')' y + x' y' = x' y' + xy = x\odot y
Option-C is also correct.
Option-D x’⊕y’ = x”y’ + x’y” = xy’ + x’y = x⊕y ≠ x⊙y

Therefore option (D) is false.

Attention reader! Don’t stop learning now.  Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course.

Learn all GATE CS concepts with Free Live Classes on our youtube channel.

This explanation is provided by Chirag Manwani.

Quiz of this Question

My Personal Notes arrow_drop_up
Recommended Articles
Page :

Start Your Coding Journey Now!