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The following diagram represents a finite state machine which takes as input a binary number from the least significant bit.
Q. Which one of the following is TRUE?
  • a)
    It computes 1's complement of the input number
  • b)
    It computes 2's complement of the input number
  • c)
    It increments the input number
  • d)
    It decrements the input number
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The following diagram represents a finite state machine which takes as...
The given finite state machine takes a binary number from LSB as input. 
The given FSM remains unchanged till first ‘1’ . After that it takes 1’s complement of rest of the input string. 
We assume the input string to be ‘110010’ . Thus, according to the FSM, output is ‘001110’ . 
2’s complement of ‘110010’ = 1’s complement of ‘110010’ + 1 = 001101 + 1 = 001110 Thus, the FSM computes 2’s complement of the input string. 
 
Hence, option (B) is correct. 
 
Please comment below if you find anything wrong in the above post.
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