Ex4: Design a counter with 7 flip-flops that goes through the following binary repeated sequence: 0, 1, 3, 7, 6, 4. Show that when binary states 010 and 101 are considered as don't care conditions, the counter may not operate properly. Find a way to correct the design.

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Author:James Kurose, Keith Ross
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Ex4: Design a counter with 7 flip-flops that goes through the following binary repeated
sequence: 0, 1, 3, 7, 6, 4. Show that when binary states 010 and 101 are considered as
don't care conditions, the counter may not operate properly. Find a way to correct the
design.
Sol:
• The number of flip-flops required is three.
• Table below shows the desired circuit excitation table.
Present Next
Flip-flop inputs
state
state
ABC ABC TA TB Tc
000 001 0
0
1
001 011 0
1 0
010
XXX
X
X
X
011
111 1
1 0
100 000 1
1
0
101
X
XXX
X
X
110
100 0
1 0
111
110 0
0 1
complete the solution
Transcribed Image Text:Ex4: Design a counter with 7 flip-flops that goes through the following binary repeated sequence: 0, 1, 3, 7, 6, 4. Show that when binary states 010 and 101 are considered as don't care conditions, the counter may not operate properly. Find a way to correct the design. Sol: • The number of flip-flops required is three. • Table below shows the desired circuit excitation table. Present Next Flip-flop inputs state state ABC ABC TA TB Tc 000 001 0 0 1 001 011 0 1 0 010 XXX X X X 011 111 1 1 0 100 000 1 1 0 101 X XXX X X 110 100 0 1 0 111 110 0 0 1 complete the solution
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