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Question

The switching function for switching network is

  1. open parentheses x logical and y to the power of ' end exponent close parentheses logical or open parentheses y logical and z to the power of ' end exponent close parentheses logical or left parenthesis z logical and x to the power of ' end exponent right parenthesisyz'(zx')'/>    
  2. open parentheses x logical and y logical and z close parentheses logical or left parenthesis x to the power of ' end exponent logical and y to the power of ' end exponent logical and z to the power of ' end exponent right parenthesisy'z')'/>    
  3. open parentheses x logical or y to the power of ' end exponent close parentheses logical and open parentheses y logical or z to the power of ' end exponent close parentheses logical and left parenthesis z logical or x to the power of ' end exponent right parenthesisyz'(zx')'/>    
  4. None of the above    

The correct answer is: open parentheses x logical and y to the power of ´ end exponent close parentheses logical or open parentheses y logical and z to the power of ´ end exponent close parentheses logical or left parenthesis z logical and x to the power of ´ end exponent right parenthesis


    because Switches x and y to the power of ´ end exponent are connected parallel which is denoted by left parenthesis x logical and y to the power of ´ end exponent right parenthesis
    Similarly, y and z to the power of ´ end exponentand z and x to the power of ´ end exponent are also connected parallel
    Which are denoted by left parenthesis y logical and z to the power of ´ end exponent right parenthesis and left parenthesis z logical and x to the power of ´ end exponent right parenthesis respectively
    Now, x logical and y to the power of ´ end exponent comma blank y logical and z to the power of ´ end exponent and z logical and x to the power of ´ end exponent are connected in series. So, switching function of given network is
    open parentheses x logical and y to the power of ´ end exponent close parentheses logical or open parentheses y logical and z to the power of ´ end exponent close parentheses logical or left parenthesis z logical and x to the power of ´ end exponent right parenthesis

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