• Register
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
  • Questions
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580
  • Unanswered
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580
  • Tags
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580
  • Categories
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580
  • Users
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580
  • Exams Taken
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580
  • Exam List
    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

TOC-grand test-Q14


Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
+2 votes

Let X represents the number of two state DFA's possible with designated initial state accepting empty language. And Y represents the number of two state NFA's possible with designated initial state accepting empty language. Find the value of Y - X ?

States = \{ X,Y\} , Initial state =X , Alphabets = \{0,1\}

asked Sep 7, 2019 by gbeditor-2 (72,840 points)
reshown Sep 8, 2019 by gbeditor-2

1 Answer

+2 votes
 
Best answer
answer 300

DFA [ suppose inital state is A ]

case 1: no final state

no of dfa possible = 2*2*2*2=16

case 2: B as final state and no transition from A to B(from B to A possible)

no of dfa possible=2*2=4

TOTAL=16+4=20

NFA[let initial state be A]

case 1: no final state

no fo nfa possible=4*4*4*4=256

case 2: B as final state and no transition from A to B

no of nfa possible= 2*2*4*4=64

total=256+64=320

 

overall Y-X=320-20=300
answered Sep 8, 2019 by (9,500 points)
selected Sep 11, 2019 by
though i have done the nfa part wrong in exam . i missed 2*2 in nfa case2
300 is correct
here,why 2*2*4*4 for nfa?didnot get this.
please help.
do you still need explanation?
Answer:

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
...