Multiple choice

Given below are two finite state automata (→ indicates the start state and F indicates a final state)

Y:

a b
$\rightarrow$ 1 1 2
2(F) 2 1

Z:

a b
$\rightarrow$ 1 2 2
2(F) 1 1

Which of the following represents the product automaton Z × Y?

  1. | | a | b | |-----------------|---|---| | $\rightarrow$ P | S | R | | Q | R | S | | R(F) | Q | P | | S | Q | P |
  2. || a | b | |-----------------|---|---| | $\rightarrow$ P | S | Q | | Q | R | S | | R(F) | Q | P | | S | P | Q |
  3. | | a | b | |-----------------|---|---| | $\rightarrow$ P | Q | S | | Q | R | S | | R(F) | Q | P | | S | Q | P |
  4. || a | b | |-----------------|---|---| | $\rightarrow$ P | S | Q | | Q | S | R | | R(F) | Q | P | | S | Q | P |
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation