Open In App
Related Articles

GATE | GATE CS 2013 | Question 65

Improve
Improve
Improve
Like Article
Like
Save Article
Save
Report issue
Report
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. This explanation is provided by Chirag Manwani.

Quiz of this Question

Last Updated : 20 Sep, 2021
Like Article
Save Article
Previous
Next
Share your thoughts in the comments
Similar Reads