Electronics and Communication Engineering - Exam Questions Papers - Discussion

15. 

Which of the following terms are equivalent?

  1. A ⊕ B ⊕ C
  2. A ⊕ B ⊙ C
  3. A ⊙ B ⊕ C
  4. A ⊙ B ⊙ C

[A]. 1 and 4; 2 and 3
[B]. 1 and 3
[C]. 2 and 3
[D]. 1, 2 and 4

Answer: Option A

Explanation:

A ⊕ B ⊕ C = A (B ⊕ C) + A(B ⊕ C)

= A(B ⊙ C) + A (B ⊙ C) = A ⊙ B ⊙ C

A ⊕ B ⊙ C = A (B ⊙ C) + A(B ⊙ C)

= A(B ⊕ C) + A(B ⊕ C)

= A ⊙ B ⊙ C.


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