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Sender and Receiver in a communication system exchange information using $4$-bit messages.
Sender sends a message $m\left(m_{3} m_{2} m_{1} m_{0}\right)$ along with code word $c\left(c_{3} c_{2} c_{1} c_{0}\right)$ in
Following encrypted form<m_3\oplus c_3, c_3, m_2\oplus c_2, c_2, m_1\oplus c_1, c_1, m_0\oplus c_0, c_0> If the receiver knows the structure of the encrypted message to be received then which single gate can be used to get the message bits back?

  1. NAND
  2. EX-OR
  3. EX-NOR
  4. NOR
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Property of Ex-or is as follows :
$(a \oplus b) \oplus b=a$
i.e. Assume we have a message bit $a$ and we Ex-or it with another message bit b and let's call this new bit c. Now to get the original message bit "a" from "c" , we can ex-or c with "b" again and we'll get "a" back.
So, the same concept is applied in this question and answer will be Option B.
Answer:

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