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 sequential circuit has two D flip-flops, one input X, and one output Y.<br>1.<br>The logic diagram of the circuit is shown below. Please derive the state table and<br>state diagram of the circuit.<br>B<br>Clock<br>D-<br>A) Please write down the equation for A(t+1), B(t+1), and Y,<br>respectively. Note that you can derive the three equations by inspecting<br>the circuit above.<br>Please complete the following state table. Assume that the initial<br>B)<br>state is 00 (i.e., A = 0 and B = 0).<br>Present state<br>Input<br>Next state<br>Output<br>A<br>A (t+1) B(t+1)<br>Y<br>C)<br>Please draw the state diagram (Mealy).<br>

Extracted 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<br>repeated binary sequence: 0, 2, 4, 6, 1, 3, 5, 7.<br>2.<br>A)<br>[10 pts] Complete the following state table.<br>Present State<br>Next State<br>C<br>DA DB Dc<br>Write down an optimized equation for DA, DB, and Dc, respectively.<br>B)<br>You can use K-maps to optimize the equations on a scratch paper. Please do<br>not turn in your K-maps when you submit your final exam. You only need to<br>write down your optimized equations here.<br>s Please draw circuit for the counter. You can draw the circuit on a<br>C)<br>white paper using a ruler, and then, take a photo of it. Next, you can insert the<br>photo here.<br>D<br>R<br>B<br>D<br>D<br>3<br>

Extracted 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

Jun 03, 2022
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