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Design the Synchronous Sequential Circuit for State Diagram
Illustration: - We wish to design the synchronous sequential circuit whose state diagram
The kind of flip-flop to be use is J-K.
Since the state diagram we can generate the state table
Excitation table for JK flip-flop
Excitation table of the circuit
In the first row of Table we have the transition for flip-flop Q0 from 0 in the present state to 0 in the next state. In Table 10 we find that the transition of states from 0 to 0 requires that input J = 0 and input K = X. Thus 0 and X are copied in the first row under J0 and K0 respectively. Ever since the first row also shows a transition for the flip-flop Q1 from 0 in the present state to 0 in the next state 0 and X are copied in the first row under J1 and K1 and this process is continued for each row of the table and for each flip-flop.
The simplified Boolean functions for a combinational circuit can now be derived. The input variables are Q0, Q1, and x and the output is the variables J0, K0, J1 and K1 and the information from the truth table is plotted on the Karnaugh maps.
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2's Complement Multiplication Two's complement multiplication follows the similar rules as binary multiplication. For illustration, (-4) × 4 = (-16) 1111
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