JK Flip Flop as a Finite State Machine

JK Flip Flop as a Finite State Machine
Truth Table for JK Flip Flop
J K Q* Mode
0 0 Q hold
0 1 0 reset
1 0 1 set
1 1 Q’ toggle
Next State Diagram for JK Flip Flop.
Next State Table for JK Flip Flop.
Curren
t State
Inputs
Next
State
Q J K Q*
0 0 0 0
1 0 0 1
0 1 0 1
1 1 0 1
0 0 1 0
1 0 1 0
0 1 1 1
1 1 1 0

Characteristic equation of JK Flip Flop:
Q* = J.Q’ + K’.Q
Excitation map for JK flip flop:
Transition Req. inputs
Q -> Q* J K
0 0 0 X
0 1 1 X
1 1 X 0
1 0 X 1
Exercise: Implementation of JK Flip Flop using a RS Flip Flop
Block Diagram.
Next State Logic:
K - Map for S:
Q
J K 0 1
0 0 0 0
0 1 0 0
1 1 1 0
1 0 1 0
S = J.Q’

K-Map for R:
Q
J K 0 1
0 0 0 0
0 1 0 0
1 1 1 0
1 0 1 0
R = K.Q
A realisation of J K Flip Flop using a RS Flip Flop