Q2 - Pseudo-Random Number Generator a) The following circuit is a pseudo-random number generator which uses linear feedback shift registers to produce a stream of outputs. The XOR tap at index 1' is responsible for generating this sequence of outputs. Fill in the table for the outputs of the 4 registers after each clock cycle. The initial output state is already provided in the first row. You can stop when the output starts to repeat and just say that it is repeating. QO Q1 Q2 Q3 Q D ClockEdge # Q3 Q2 Q1 QO 1 1 4 6. 7 10 11 12 13 14

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**Q2 - Pseudo-Random Number Generator**

**a)** The following circuit is a pseudo-random number generator using linear feedback shift registers to produce a stream of outputs. The XOR tap at index ‘1’ generates this sequence of outputs. Fill in the table for the outputs of the 4 registers after each clock cycle. The initial output state is already provided in the first row. You can stop when the output starts to repeat and just say that it is repeating.

**Diagram Description:**

- The diagram shows a linear feedback shift register (LFSR) consisting of four D flip-flops labeled Q0, Q1, Q2, and Q3.
- An XOR gate is connected to the output of Q0 and the input of Q3.
- The inputs and outputs of the flip-flops are connected in series from Q0 to Q3.

**Table:**

| ClockEdge # | Q3 | Q2 | Q1 | Q0 |
|-------------|----|----|----|----|
| 0           | 0  | 0  | 0  | 1  |
| 1           |    |    |    |    |
| 2           |    |    |    |    |
| 3           |    |    |    |    |
| 4           |    |    |    |    |
| 5           |    |    |    |    |
| 6           |    |    |    |    |
| 7           |    |    |    |    |
| 8           |    |    |    |    |
| 9           |    |    |    |    |
| 10          |    |    |    |    |
| 11          |    |    |    |    |
| 12          |    |    |    |    |
| 13          |    |    |    |    |
| 14          |    |    |    |    |

**Instructions:**
- Complete the table by simulating the circuit operation for each clock cycle.
- Note that the sequence will repeat after a certain number of cycles.
Transcribed Image Text:**Q2 - Pseudo-Random Number Generator** **a)** The following circuit is a pseudo-random number generator using linear feedback shift registers to produce a stream of outputs. The XOR tap at index ‘1’ generates this sequence of outputs. Fill in the table for the outputs of the 4 registers after each clock cycle. The initial output state is already provided in the first row. You can stop when the output starts to repeat and just say that it is repeating. **Diagram Description:** - The diagram shows a linear feedback shift register (LFSR) consisting of four D flip-flops labeled Q0, Q1, Q2, and Q3. - An XOR gate is connected to the output of Q0 and the input of Q3. - The inputs and outputs of the flip-flops are connected in series from Q0 to Q3. **Table:** | ClockEdge # | Q3 | Q2 | Q1 | Q0 | |-------------|----|----|----|----| | 0 | 0 | 0 | 0 | 1 | | 1 | | | | | | 2 | | | | | | 3 | | | | | | 4 | | | | | | 5 | | | | | | 6 | | | | | | 7 | | | | | | 8 | | | | | | 9 | | | | | | 10 | | | | | | 11 | | | | | | 12 | | | | | | 13 | | | | | | 14 | | | | | **Instructions:** - Complete the table by simulating the circuit operation for each clock cycle. - Note that the sequence will repeat after a certain number of cycles.
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