Construct a 4-bit Johnson counter using J-K flip-flops. (See Figure 12-12 for a Johnson counter.) What sequence of states does the counter go through if it is started in state 0000? State 0110?

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Construct a 4-bit Johnson counter using J-K flip-flops. (See Figure 12-12 for a Johnson counter.) What sequence of states does the counter go through if it is started in state 0000? State 0110?

**Shift Register with Inverted Feedback**

**Figure 12-12:**

**(a) Flip-flop connections:**

This diagram depicts a series of three flip-flops connected in a sequence. Each flip-flop has an input (D) and an output (Q). The outputs of the flip-flops (Q1, Q2, Q3) are fed back as inputs with inverted feedback. The clock (CLK) signal is shown as influencing all flip-flops.

- Flip-flop 1: Input D1, Output Q1
- Flip-flop 2: Input D2, Output Q2
- Flip-flop 3: Input D3, Output Q3

**(b) Transition graph:**

The transition graph illustrates the state changes of a 3-bit shift register with inverted feedback.

- States are represented in binary: 000, 001, 011, 111, 110, 100, 010, 101.
- Arrows indicate the progression from one state to another under the influence of the clock signal.
- The graph is cyclic, showing the repetitive nature of the register's state transitions.
Transcribed Image Text:**Shift Register with Inverted Feedback** **Figure 12-12:** **(a) Flip-flop connections:** This diagram depicts a series of three flip-flops connected in a sequence. Each flip-flop has an input (D) and an output (Q). The outputs of the flip-flops (Q1, Q2, Q3) are fed back as inputs with inverted feedback. The clock (CLK) signal is shown as influencing all flip-flops. - Flip-flop 1: Input D1, Output Q1 - Flip-flop 2: Input D2, Output Q2 - Flip-flop 3: Input D3, Output Q3 **(b) Transition graph:** The transition graph illustrates the state changes of a 3-bit shift register with inverted feedback. - States are represented in binary: 000, 001, 011, 111, 110, 100, 010, 101. - Arrows indicate the progression from one state to another under the influence of the clock signal. - The graph is cyclic, showing the repetitive nature of the register's state transitions.
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