Design the sequential circuit based on the state transition diagram and state table shown below.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Design the sequential circuit based on the state transition diagram and state table shown below.
1
0
0
0
0
1
00
1
1
1
The State Table:
SO and SL flip-flops
In = bit Input
Next(A) and Next(B) = next states given a cur
state and an input.
As and Bs are the source of our flip-flop and Ar and Br with the flip-flop reset.
X= do not care = we are going to treat the X as if they were 0 or 1 at our convenience
A
Ar
0
0
In
1
0
1 1
1 0
0
1
0
0
1
1
1 0
Next (A)
01
0
0
0
1
1
1
1
0
10
Next (13)
0
1
0
0
0
1
0
0
As
0
0
0
1
X
X
X
0
X
X
X
0
0
0
0
1
Us
0
1
0
0
0
1
0
0
X
0
1
1
X
0
1
1
a) Derive the minimized flip-flop input equations for As, Ar, Bs and Br, using Karnaugh maps.
Example:
karnaugh map for Br
in AB 00 01 11 10
0
0 1 1 0
1
X 1 1 X
B₁ = B
b) Draw the schematic diagram.
Transcribed Image Text:Design the sequential circuit based on the state transition diagram and state table shown below. 1 0 0 0 0 1 00 1 1 1 The State Table: SO and SL flip-flops In = bit Input Next(A) and Next(B) = next states given a cur state and an input. As and Bs are the source of our flip-flop and Ar and Br with the flip-flop reset. X= do not care = we are going to treat the X as if they were 0 or 1 at our convenience A Ar 0 0 In 1 0 1 1 1 0 0 1 0 0 1 1 1 0 Next (A) 01 0 0 0 1 1 1 1 0 10 Next (13) 0 1 0 0 0 1 0 0 As 0 0 0 1 X X X 0 X X X 0 0 0 0 1 Us 0 1 0 0 0 1 0 0 X 0 1 1 X 0 1 1 a) Derive the minimized flip-flop input equations for As, Ar, Bs and Br, using Karnaugh maps. Example: karnaugh map for Br in AB 00 01 11 10 0 0 1 1 0 1 X 1 1 X B₁ = B b) Draw the schematic diagram.
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