As the authors mentioned, this circuit is 1 modulo 3 counter. Here we have K_0 =
ID: 3868755 • Letter: A
Question
As the authors mentioned, this circuit is 1 modulo 3 counter. Here we have K_0 = K_1 = 1. Consider the 3 other variations of this example with (a) K_0 = K_1 = 0 (b) K_0 = 1, K_1 = 0 (c) K_0 = 0, K_1 = 1 Derive a table similar to Figure 5.72 for each of these 3 variations. In Figure 5.72 we see patterns repeat as 00, 01, 10,00, 01 and hence we observe the counting sequence 0, 1, 2, 0, 1 and so on: and it is concluded that this circuit is a modulo-3 counter. For these three variations, derive a table of 5 entries similar to Figure 5.72 (with the First column as Clear, t_1, t_2, t_3, and t_4).Explanation / Answer
a) for k0 = k1 = 0
Time Interval
FF0
FF1
J0
K0
Q0
J1
K1
Q1
Clear
1
0
1
1
0
1
t1
0
0
0
0
0
0
t2
1
0
1
1
0
1
t3
0
0
0
0
0
0
t4
1
0
1
1
0
1
We see patterns repeat as 11 , 00 ,11,00 , 11 and hence we observe the counting sequence 3 ,0,3 ,0 ,3 and so on.
b) For K0 = 1 , K1=0
Time Interval
FF0
FF1
J0
K0
Q0
J1
K1
Q1
Clear
1
1
0
0
0
0
t1
1
1
1
1
0
1
t2
0
1
0
0
0
0
t3
1
1
1
1
0
1
t4
0
1
0
0
0
0
We see patterns repeat as 00,11 , 00 ,11, 00 and hence we observe the counting sequence 0,3 ,0,3,0 and so on.
c) For K0=0 and K1=1
Time Interval
FF0
FF1
J0
K0
Q0
J1
K1
Q1
Clear
0
0
0
0
1
0
t1
1
0
1
1
1
1
t2
0
0
0
0
1
0
t3
1
0
1
1
1
1
t4
0
0
0
0
1
0
We see patterns repeat as 00 , 11, 00, 11, 00 and hence we observe the counting sequence 0,3 ,0,3,0 and so on.
Time Interval
FF0
FF1
J0
K0
Q0
J1
K1
Q1
Clear
1
0
1
1
0
1
t1
0
0
0
0
0
0
t2
1
0
1
1
0
1
t3
0
0
0
0
0
0
t4
1
0
1
1
0
1
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.