4. Given the circuit shown in Figure Q4. (3-bit Ripple Up Counter) Input Clock Pulses No. 1 2 3 4 5 6 7 8 9 10 PRE K FFO CLK CLR 9 5 V (OV to reset) Initialise 1st Clock Pulse 2nd Clock Pulse 3rd Clock Pulse -05V 4th Clock Pulse 5th Clock Pulse QA 6th Clock Pulse 7th Clock Pulse 8th Clock Pulse 9th Clock Pulse PRE K FF1 CLK CLR -05V 5 V (0V to reset) QB a. Tabulate the binary counting sequence for the counter in the table provided below: Clock Pulse Qc 0 0 0 0 1 1 1 1 0 0 J Outputs QB 0 0 1 1 0 0 1 1 0 0 b. From the table, identify all the unique Q output combinations. PRE FF 2 CLK -05V K CLR 9 5 V (0V to reset) Qc QA 0 1 0 1 0 1 0 1 0 1 c. Each of the unique Q output combinations of a counter is known as a counter state. The total number of unique states in a counting sequence is known as the modulus of a counter, or MOD in short. From your results, what is the MOD number of the two-bit counter? Explain. d. How is the number of J-K flip-flops in the counter related to its MOD number?

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7th Edition
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
Section: Chapter Questions
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4. Given the circuit shown in Figure Q4. (3-bit Ripple Up Counter)
unnr
Input Clock
Pulses
No.
1
2
3
4
5
6
7
8
9
J
10
PRE
K
FFO
CLK
CLR
Q
ā
Clock Pulse
-O 5V
5 V (0V to reset)
QA
Initialise
1st Clock Pulse
2nd Clock Pulse
3rd Clock Pulse
4th Clock Pulse
5th Clock Pulse
6th Clock Pulse
7th Clock Pulse
8th Clock Pulse
9th Clock Pulse
J
PRE
K
FF1
C CLK
CLR
Q
5V
5 V (OV to reset)
QB
Qc
0
0
0
0
1
1
1
1
0
0
Outputs
QB
0
0
a. Tabulate the binary counting sequence for the counter in the table provided
below:
1
1
0
0
1
1
0
0
J
b. From the table, identify all the unique Q output combinations.
PRE
K
FF 2
CLK
CLR
Q
5 V (0V to reset)
QA
0
1
0
1
5V
0
1
0
1
0
1
Qc
c. Each of the unique Q output combinations of a counter is known as a counter
state. The total number of unique states in a counting sequence is known as
the modulus of a counter, or MOD in short. From your results, what is the MOD
number of the two-bit counter? Explain.
d. How is the number of J-K flip-flops in the counter related to its MOD number?
Transcribed Image Text:4. Given the circuit shown in Figure Q4. (3-bit Ripple Up Counter) unnr Input Clock Pulses No. 1 2 3 4 5 6 7 8 9 J 10 PRE K FFO CLK CLR Q ā Clock Pulse -O 5V 5 V (0V to reset) QA Initialise 1st Clock Pulse 2nd Clock Pulse 3rd Clock Pulse 4th Clock Pulse 5th Clock Pulse 6th Clock Pulse 7th Clock Pulse 8th Clock Pulse 9th Clock Pulse J PRE K FF1 C CLK CLR Q 5V 5 V (OV to reset) QB Qc 0 0 0 0 1 1 1 1 0 0 Outputs QB 0 0 a. Tabulate the binary counting sequence for the counter in the table provided below: 1 1 0 0 1 1 0 0 J b. From the table, identify all the unique Q output combinations. PRE K FF 2 CLK CLR Q 5 V (0V to reset) QA 0 1 0 1 5V 0 1 0 1 0 1 Qc c. Each of the unique Q output combinations of a counter is known as a counter state. The total number of unique states in a counting sequence is known as the modulus of a counter, or MOD in short. From your results, what is the MOD number of the two-bit counter? Explain. d. How is the number of J-K flip-flops in the counter related to its MOD number?
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