GATE 1989
January 2, 2024
GATE 1998
January 2, 2024
GATE 1989
January 2, 2024
GATE 1998
January 2, 2024

Digital-Logic-Design

Question 38

What happens when a bit-string is XORed with itself n-times as shown:

  [B⊕(B⊕(B⊕(B........ n times)]  
A
complements when n is even
B
complements when n is odd
C
divides by 2n always
D
remains unchanged when n is even
Question 38 Explanation: 
B⊕(B⊕(B⊕…) n times
Consider:
B⊕(B⊕B)
= B⊕0
= 0 (if consider n times it remains unchanged)
Correct Answer: D
Question 38 Explanation: 
B⊕(B⊕(B⊕…) n times
Consider:
B⊕(B⊕B)
= B⊕0
= 0 (if consider n times it remains unchanged)

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