NIELIT 2021 Dec Scientist A - Section B: 113

Question

What happens when a bit string is $\text{XORed}$ with itself $\text{n}$ times as shown below ?

$ [ \text{B}\oplus (  \text{B}\oplus (  \text{B}\oplus (  \text{B}\dots\dots \text{n  times} ] $

• A. Complements when $\text{n}$ is even
• B. Complements when $\text{n}$ is odd
• C. Divides by $2^{n}$ always
• D. Remains unchanged when $\text{n}$ is even

Answer 1

B xor B = B Exor with itself one time

B xor BN = B is xor with itself n number of times.

         Ref:  1) GATE CSE 1998

                  2) Bit string B XOR with itself n times