state table and characteristic equation for sequential circuit
TRANSCRIPT
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DIGITAL ELECCTRONICS
State Diagram
&
Characteristics Eq. of Sequential Circuit
PREET|patel (151310109032)
2nd Year B.E. Electrical
AIIE
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CONTENTS:
• INTRODUCTION
• JK FLIP FLOP
• D FLIP FLOP
• SR FLIP FLOP
• T FLIP FLOP
• Conversion from SR FF to T FF
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INTRODUCTION
• We use the truth table for explaining the relation between its inputs and outputs of a circuit
combinational.
• But the use of truth table is not suitable for explaining the input output relation for a sequential
circuit.
• Instead we use the STATE TABLE for the sequential circuits. The basic building block of a sequential
circuit is a flip flop. The outputs QA, QB etc. of such flip flops will be used as state inputs to a
sequential circuit. They are also called as state variable.
• In addition to this "x" represents an external input and Y represents the output of the sequential
circuit.
• Y will be dependent on the state variables and the external input x.
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JK FLIP FLOP
Truth table
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JK FLIP FLOP
P.S N.SI/P
S0 S1
0/0
0/1 0/X
QN J K QN
0 0 X 0
0 1 X 1
1 X 1 0
1 X 0 1
Excitation table
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STATE EQUATION
• State equation is the combination of P.S and I/P to the flip-flop.
STATE Equation JK flip flopQn+1 = QnJ + QnK
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D FLIP-FLOP
CHRACHTERISTIC TABLE
D QT QT+1
0 0 0
0 1 0
1 0 1
1 1 1
D
CLK
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STATE EQUATION
• State equation is for D FLIP-FLOP is given by :
QT+1= DQ + DQQT+1 = D
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SR FLIP-FLOP
CHRACHTERISTIC TABLE
QN S R QN
0 0 X 0
0 1 0 1
1 0 1 0
1 X 0 1
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T-FLIP FLOP
CHRACHTERISTIC TABLE
T QT QT+1
0 0 0
1 0 1
1 1 0
0 1 1
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CONVERSION FROM SR FF TO T FF
INPUT OUTPUTS
T P.S Qn N.S Qn+1 S R
0 0 0 0 X
1 0 1 1 0
1 1 0 0 1
0 1 1 X 0
0 X
1 0
X 0
0 1
TQn
TQn
S=TQn R=TQn
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THANK YOU