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 andstate diagram of the circuit.BClockD-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 inspectingthe circuit above.Please complete the following state table. Assume that the initialB)state is 00 (i.e., A = 0 and B = 0).Present stateInputNext stateOutputAA (t+1) B(t+1)YC)Please draw the state diagram (Mealy). 3 Use D-type flip-flops and gates to design a counter with the followingrepeated binary sequence: 0, 2, 4, 6, 1, 3, 5, 7.2.A)[10 pts] Complete the following state table.Present StateNext StateCDA DB DcWrite 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 donot turn in your K-maps when you submit your final exam. You only need towrite down your optimized equations here.s Please draw circuit for the counter. You can draw the circuit on aC)white paper using a ruler, and then, take a photo of it. Next, you can insert thephoto here.DRBDD3

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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.

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Question

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

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