Design a Synchronus Base 12 Counter Using D Flip-flops

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Design a mod-12 Synchronous up counter.

Ans. Design of a mod 12 synchronous counter by using D-flipflops.

I state table
Present state                                   Next state                                         Required D Inputs

A	B	C	D	A	B	C	D	DA	DB	DC	DD
0	0	0	0	0	0	0	1	0	0	0	1
0	0	0	1	0	0	1	0	0	0	1	0
0	0	1	0	0	0	1	1	0	0	1	1
0	0	1	1	0	1	0	0	0	1	0	0
0	1	0	0	0	1	0	1	0	1	0	1
0	1	0	1	0	1	1	0	0	1	1	0
0	1	1	0	0	1	1	1	0	1	1	1
0	1	1	1	1	0	0	0	1	0	0	0
1	0	0	0	1	0	0	1	1	0	0	1
1	0	0	1	1	0	1	0	1	0	1	0
1	0	1	0	1	0	1	1	1	0	1	1
1	0	1	1	0	1	0	0	0	1	0	0

Firstly draw the state table containing present state, subsequent state and required flip-flop input to provide the transition. D flip flop offers the output similar as the next state itself. After that, solve through using K maps to determine DA DB DC DD for all states.
Unutilized states are 1100,1101,1110,1111 they can be function as don't care conditions from the table.  Depict  Karnaugh-maps  for  DA,  DB,  DC   and  DD   as  follows  and  acquire  Boolean expressions for them.

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Design a Synchronus Base 12 Counter Using D Flip-flops

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