A sequential circuit has two D flip-flops, one input X, and one output Y. ic diagram of the circuit is shown below. Please derive the state table and agram of the circuit.
A sequential circuit has two D flip-flops, one input X, and one output Y. ic diagram of the circuit is shown below. Please derive the state table and agram of the circuit.
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
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:A sequential circuit has two D flip-flops, one input X, and one output Y.
1.
The logic diagram of the circuit is shown below. Please derive the state table and
state diagram of the circuit.
B
Clock
D-
A) Please write down the equation for A(t+1), B(t+1), and Y,
respectively. Note that you can derive the three equations by inspecting
the circuit above.
Please complete the following state table. Assume that the initial
B)
state is 00 (i.e., A = 0 and B = 0).
Present state
Input
Next state
Output
A
A (t+1) B(t+1)
Y
C)
Please draw the state diagram (Mealy).
![3 Use D-type flip-flops and gates to design a counter with the following
repeated binary sequence: 0, 2, 4, 6, 1, 3, 5, 7.
2.
A)
[10 pts] Complete the following state table.
Present State
Next State
C
DA DB Dc
Write down an optimized equation for DA, DB, and Dc, respectively.
B)
You can use K-maps to optimize the equations on a scratch paper. Please do
not turn in your K-maps when you submit your final exam. You only need to
write down your optimized equations here.
s Please draw circuit for the counter. You can draw the circuit on a
C)
white paper using a ruler, and then, take a photo of it. Next, you can insert the
photo here.
D
R
B
D
D
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4edc6b43-dbeb-4b1d-824f-91cb74edfe0b%2F1b54f9f5-61c2-4b89-a241-cc3a976a375c%2F5uoypcb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3 Use D-type flip-flops and gates to design a counter with the following
repeated binary sequence: 0, 2, 4, 6, 1, 3, 5, 7.
2.
A)
[10 pts] Complete the following state table.
Present State
Next State
C
DA DB Dc
Write down an optimized equation for DA, DB, and Dc, respectively.
B)
You can use K-maps to optimize the equations on a scratch paper. Please do
not turn in your K-maps when you submit your final exam. You only need to
write down your optimized equations here.
s Please draw circuit for the counter. You can draw the circuit on a
C)
white paper using a ruler, and then, take a photo of it. Next, you can insert the
photo here.
D
R
B
D
D
3
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