Design a Mealy type sequence detector to detect a serial input sequence of 101.

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written 9.2 years ago by

engineergabry • 0

• modified 9.2 years ago

--> State Diagram will be,

enter image description here

States are as follows,

a=00, b=01, c=10

State table:-

Present	Next	State	Output	Output
State	X=0	X=1	X=0	X=1
a	a	b	0	0
b	c	b	0	0
c	a	b	0	1

To design a circuit:-

Input	Present	State	Next	State		F/F	I/P		O/P
X	B	A	$B_{n+1}$	$A_{n+1}$	$J_{A}$	$K_{B}$	$J_{A}$	$K_{A}$
0	0	0	0	0	0	X	0	X	0
0	0	1	1	0	1	X	X	1	0
0	1	0	0	0	X	1	0	X	0
0	1	1	X	X	X	X	X	X	X
1	0	0	0	1	0	X	1	X	0
1	0	1	0	1	0	X	X	X	0
1	1	0	0	1	X	1	1	X	1
1	1	1	X	X	X	X	X	X	X

Input equation for $J_{A}$ :-

X\BA	00	01	11	10
0	$0_{0}$	$0_{2}$	$1_{6}$	$1_{4}$	.•. $J_{A}$ = BX
1	$X_{1}$	$X_{3}$	$X_{7}$	$X_{5}$

Input equation for $K_{A }$:-

X\BA	00	01	11	10
0	$X_{0}$	$X_{2}$	$X_{6}$	$X_{4}$	.·. $K_{A}$ =B’X
1	$1_{1}$	$X_{3}$	$X_{7}$	$X_{5}$

Input equation for $K_{B}$ :-

X\BA	00	01	11	10
0	$X_{0}$	$1_{2}$	$1_{6}$	$1_{4}$	.·. $K_{B}$ =AX'
1	$X_{1}$	$X_{3}$	$X_{7}$	$X_{3}$

Circuit Diagram :-

enter image description here

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