
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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1) Here is a Digital Logic question on analysis of clocked sequential circuits with the answer. Please explain what the teacher did and why they did it. I need you to explain how they got the answer.

Transcribed Image Text:1. Design a sequence detector that detects the pattern "1101" in a sequence of binary input x. The output z goes to
'1' when the last '1' in the pattern is input. z is 'O' otherwise. The last '1' in a pattern can be considered as
the first '1' in the next pattern.
Answer:
①
0/0
0/0
10
1/0
%
0/0
State & output table
Current
next state
output
State
X=0
x=1
X=0 x=1
So
So
S₁
0
0
S₁
So
で
0
52
S3
52
53
So
~ 5
D
0
State assignment: So~ AB=00
transition & output table
x
other state assignments
S₁~ AB = 01
are ok too
52
~ AB = 10
53
~
AB = 11
AB
4*B*
z
X=0 x=1
X=0 x=1
00
00
01
อ
○
อ
1
ა
10
10
||
10
11
00 01
อ
Z= ABX
use DFF for the design ce* =D
D₁ = A*
DB = B*
AB
AB
0001
0001
10
1110
0
0
0
0
0
0
01
1
О
0
cuk
DA=AB+ABX
PB = ABAX
A
B
е
DB
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