Consider the following FA with the regular expression r O 1. O 2 O 3. -W₁ O 4. b W2 la By applying Kleene's theorem, an FA must be built for the regular expression r*. In the process a transition table is compiled. We compile a suitable transition table by using the algorithm provided in Cohen page 129. New state +Z₁ =W₁ Z2 =W₁ Z3 W2 +Z4=W₁ or W3 +Z5 W₁ or W2 or W3 New state Z₁ = W₁ Z2 = W₂ +Z3 =W₁ or W3 +Z4 =W₁ or W₂ or W3 New state b +Z₁ =W₁ Z2 = W₂ +Z3 =W₁ or W3 +Z4 =W₁ or W₂ or W3 New state Z₁ = W₁ Z₂ = W₂ +Z3 = W3 Z2 Read an a Z₂ 22 +ZA +Z4 Z₁ Read an a Z₁ +23 +23 a, b +W3 +Z₁ +Z₁ +23 +23 Read an a Z₁ Read an a Z₁ +23 Read an b Z3 Z3 +Z4 +25 +25 Read an b Z2 +23 +Z4 +Z₁ Read an b Z₂ +23 +Z4 +Z4 Read an b Z2 +Z3 +Z3 Consider the following Mealy machine which must be converted to a Moore machine. a/0 O a. O b. q O d. 0/9 610 Which one of the following diagrams provided represents the required Moore machine? 6 q 9₂ /0 a/0 92 b b b/1 A a 9₂ q₁ b a/1 q: /0 G 0 0

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Question 8

Consider the following FA with the regular expression r:
O 1.
O 2.
O 3.
-W1
4.
b
W2
la
By applying Kleene's theorem, an FA must be built for the regular expression r*. In the process a transition
table is compiled. We compile a suitable transition table by using the algorithm provided in Cohen page 129.
New state
+Z₁ = W₁
Z₂ = W₁
Z3 = W2
+Z4 = W₁ Or W3
+Z5 =W₁ or W2 or W3
New state
Z₁ = W1
b
Z2 = W₂
+Z3 = W₁ Or W3
+Z4 =W₁ or W₂ or W3
New state
+Z₁ = W₁
Z2 = W2
+Z3 = W₁ Or W3
+Z4 =W₁ or W2 or W3
New state
Z₁ =W1
Z₂ = W₂
+Z3 = W3
Z2
Z₂
Read an a Read an b
Z₂
+Z4
+Z4
Z₁
Read an a
Z₁
+Z3
+Z3
+21
Read an a
+Z₁
+Z3
+Z3
a, b
Read an a
+W3
Z₁
Z₁
+Z3
Z3
Z3
+Z4
+Z5
+Z5
Read an b
Z2
+Z3
+Z4
+Z4
Read an b
Z₂
+Z3
+Z4
+Z4
Read an b
Z2
+Z3
+Z3
Consider the following Mealy machine which must be converted to a Moore machine.
a/0
a.
O b.
O c.
9⁰
O d.
b/0
b
0/9
Which one of the following diagrams provided represents the required Moore machine?
b
/0
9⁰
/0
b
9:²
a
b
a/0
b
92
b
a
a
b
b
b
b
a
a
b/1
92
/1
b
91
a/1
91
9:²
91
a
Transcribed Image Text:Consider the following FA with the regular expression r: O 1. O 2. O 3. -W1 4. b W2 la By applying Kleene's theorem, an FA must be built for the regular expression r*. In the process a transition table is compiled. We compile a suitable transition table by using the algorithm provided in Cohen page 129. New state +Z₁ = W₁ Z₂ = W₁ Z3 = W2 +Z4 = W₁ Or W3 +Z5 =W₁ or W2 or W3 New state Z₁ = W1 b Z2 = W₂ +Z3 = W₁ Or W3 +Z4 =W₁ or W₂ or W3 New state +Z₁ = W₁ Z2 = W2 +Z3 = W₁ Or W3 +Z4 =W₁ or W2 or W3 New state Z₁ =W1 Z₂ = W₂ +Z3 = W3 Z2 Z₂ Read an a Read an b Z₂ +Z4 +Z4 Z₁ Read an a Z₁ +Z3 +Z3 +21 Read an a +Z₁ +Z3 +Z3 a, b Read an a +W3 Z₁ Z₁ +Z3 Z3 Z3 +Z4 +Z5 +Z5 Read an b Z2 +Z3 +Z4 +Z4 Read an b Z₂ +Z3 +Z4 +Z4 Read an b Z2 +Z3 +Z3 Consider the following Mealy machine which must be converted to a Moore machine. a/0 a. O b. O c. 9⁰ O d. b/0 b 0/9 Which one of the following diagrams provided represents the required Moore machine? b /0 9⁰ /0 b 9:² a b a/0 b 92 b a a b b b b a a b/1 92 /1 b 91 a/1 91 9:² 91 a
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