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?
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf2a9245-87db-4e54-b147-768ccba693e7%2F1f0ec3ee-5890-457f-8498-0c3bfdce8a28%2Fjlei63_processed.jpeg&w=3840&q=75)
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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