Consider the following sequential circuit: CLOCK a. Define the diagram circuit variables (5 pts) b. Derive the Flip-Flop input equations) (5 pts) c. Derive the circuit output equation (5 pts) d. Derive the state table of the circuit (5 pts) e. Derive the state diagram for this circuit (5 pts) Clk A D B B' CIK Question 2 (25 pts) A sequential circuit with two D flip-flops A and B, two inputs x and y, and one output z is specified by the following next-state and output equations: A(t + 1) = xy' + xB B(t + 1) = xA + xB' z = A a. Draw the logic diagram of the circuit. (5 pts) b. List the state table for the sequential circuit. (10 pts) c. Draw the corresponding state diagram. (10 pts) Design of sequential circuits Question 3 (25 pts) Given the following state diagram. We want to implement the equivalent circuit using 0/1 1/0 00 01 0/1 1/1 11 0/1 10 1/1 1/0 0/1 a. Define the variables of the problem (input, output and states) (5 pts) b. Derive the state table (5 pts) c. Derive the JK-FF input equations (5 pts) d. Derive the output boolean expression (5 pts) e. Draw the sequential circuit of the system (5 pts) Question 4 (25 pt) Design a sequential circuit with two D flip-flops A and B, and one input x in. When x in = 0, the state of the circuit remains the same. When x in = 1, the circuit goes through the state transitions from 00 to 01, to 11, to 10, back to 00, and repeats.

Systems Architecture
7th Edition
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Publisher:Stephen D. Burd
Chapter8: Data And Network Communication Technology
Section: Chapter Questions
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Consider the following sequential circuit:
CLOCK
a. Define the diagram circuit variables (5 pts)
b. Derive the Flip-Flop input equations) (5 pts)
c. Derive the circuit output equation (5 pts)
d. Derive the state table of the circuit (5 pts)
e. Derive the state diagram for this circuit (5 pts)
Clk
A
D
B
B'
CIK
Question 2 (25 pts)
A sequential circuit with two D flip-flops A and B, two inputs x and y, and one output z is
specified by the following next-state and output equations:
A(t + 1) = xy' + xB
B(t + 1) = xA + xB'
z = A
a. Draw the logic diagram of the circuit. (5 pts)
b. List the state table for the sequential circuit. (10 pts)
c. Draw the corresponding state diagram. (10 pts)
Transcribed Image Text:Consider the following sequential circuit: CLOCK a. Define the diagram circuit variables (5 pts) b. Derive the Flip-Flop input equations) (5 pts) c. Derive the circuit output equation (5 pts) d. Derive the state table of the circuit (5 pts) e. Derive the state diagram for this circuit (5 pts) Clk A D B B' CIK Question 2 (25 pts) A sequential circuit with two D flip-flops A and B, two inputs x and y, and one output z is specified by the following next-state and output equations: A(t + 1) = xy' + xB B(t + 1) = xA + xB' z = A a. Draw the logic diagram of the circuit. (5 pts) b. List the state table for the sequential circuit. (10 pts) c. Draw the corresponding state diagram. (10 pts)
Design of sequential circuits
Question 3 (25 pts)
Given the following state diagram. We want to implement the equivalent circuit using
0/1
1/0
00
01
0/1
1/1
11
0/1
10
1/1
1/0
0/1
a. Define the variables of the problem (input, output and states) (5 pts)
b. Derive the state table (5 pts)
c. Derive the JK-FF input equations (5 pts)
d. Derive the output boolean expression (5 pts)
e. Draw the sequential circuit of the system (5 pts)
Question 4 (25 pt)
Design a sequential circuit with two D flip-flops A and B, and one input x in. When x in = 0,
the state of the circuit remains the same. When x in = 1, the circuit goes through the state
transitions from 00 to 01, to 11, to 10, back to 00, and repeats.
Transcribed Image Text:Design of sequential circuits Question 3 (25 pts) Given the following state diagram. We want to implement the equivalent circuit using 0/1 1/0 00 01 0/1 1/1 11 0/1 10 1/1 1/0 0/1 a. Define the variables of the problem (input, output and states) (5 pts) b. Derive the state table (5 pts) c. Derive the JK-FF input equations (5 pts) d. Derive the output boolean expression (5 pts) e. Draw the sequential circuit of the system (5 pts) Question 4 (25 pt) Design a sequential circuit with two D flip-flops A and B, and one input x in. When x in = 0, the state of the circuit remains the same. When x in = 1, the circuit goes through the state transitions from 00 to 01, to 11, to 10, back to 00, and repeats.
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