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

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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 with don't care
and without
don't care
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
C
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 XXX
X
X
X
110
100
0
1
0
111
110 0 0 1
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 with don't care and without don't care 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 C 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 XXX X X X 110 100 0 1 0 111 110 0 0 1
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