Boolean Algebra problems

Replies

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  nareshkumar6539

  1)If z=x*y then z*x is? if * is EX-OR operation then answer is y.because when both the symbols are same then it will give 0.
  0 EX-OR with Y gives y.(EX-OR follows associative law so we can change the order of input)
  2)with n variables if we construct a truth table then it will contain 2^n entries(rows).In a function that entry may be include or may not be include(we have 2 possibilities)total no.of functions possible with n variables is 2^2^n.
  3) if we apply n=2 in the above formula you will get answer 16.
• 

  SheldonCooper

  nareshkumar6539

  1)If z=x*y then z*x is? if * is EX-OR operation then answer is y.because when both the symbols are same then it will give 0.
  0 EX-OR with Y gives y.(EX-OR follows associative law so we can change the order of input)

  But how you considered x=0? Is it an assumption? Then what if I take y=0?
  By the way I like the answer of second question.thanks.
• 

  nareshkumar6539

  I am not assuming x=0. EX-OR follows the associate law means even if we change the order of operation result will be never change that i am using there
  z=x*y then z*x=?
  so i replaced z value in the euation
  x*y*x=>(x*x)*y[i apllied associate law ]
  EX-OR gives output 1 when both inputs are same ,it gives output 0 when both inputs are same x*x so it will give as output 0
  0*y the output of this expression depends on y because
  y=0 output is0
  y=0 output is1