1. Consider the finite state machine whose next state function and output function are given by: ||0|1lo 11 10

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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1. Consider the finite state machine whose next state function and output function are given by:
V
0 1
2
$1 $2 $3
$1
$2 SO
$1 $2 $2
$5
$4 $4 $4
$4 $5 S6
86 $6 S6
SO
$1
$2
83 $4 S5
S4
$5
86
and
(a) Write out I and O.
(b) Draw the state diagram (with starting state so)
(c) Which states are reachable from $3?
0
Y
N Y Y
$5
86
1
Y
2
TR
ابات
SO
$1
$2 Y N
N
$3
Y
Y
Y
S4
N N
N
Y N Y
X
X X
kkk
Y
(d) List any transient states if they exist.
(e) List any sink states if they exist.
(f) Determine any submachines, with I₁ = I, if there are any.
(g) let w = 100221. If w is the input string what is the output string and what state do you end
up in?
(h) Is y = 00221 a transfer sequence from s2 to 85. Prove your answer carefully.
Transcribed Image Text:1. Consider the finite state machine whose next state function and output function are given by: V 0 1 2 $1 $2 $3 $1 $2 SO $1 $2 $2 $5 $4 $4 $4 $4 $5 S6 86 $6 S6 SO $1 $2 83 $4 S5 S4 $5 86 and (a) Write out I and O. (b) Draw the state diagram (with starting state so) (c) Which states are reachable from $3? 0 Y N Y Y $5 86 1 Y 2 TR ابات SO $1 $2 Y N N $3 Y Y Y S4 N N N Y N Y X X X kkk Y (d) List any transient states if they exist. (e) List any sink states if they exist. (f) Determine any submachines, with I₁ = I, if there are any. (g) let w = 100221. If w is the input string what is the output string and what state do you end up in? (h) Is y = 00221 a transfer sequence from s2 to 85. Prove your answer carefully.
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