Derive a suitable circuit. 15. A given FSM has an input, w, and an output, z. During four consecutive clock pulses, a sequence of four values of the w signal is applied. Derive a state table for the FSM that produces z = 1 when it detects that either the sequence w: 0010 or w: 1110 has been applied; otherwise, z = 0. After the fourth clock pulse, the machine has to be again in the reset state, ready for the next sequence. Minimize the number of states needed.

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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Please do question 15
w2: 1110101000111
z: 0000100001110
Derive a suitable circuit.
15. A given FSM has an input, w, and an output, z. During four consecutive clock pulses, a sequence of
four values of the w signal is applied. Derive a state table for the FSM that produces z = 1 when it detects
that either the sequence w: 0010 or w: 1110 has been applied; otherwise, z = 0. After the fourth clock
pulse, the machine has to be again in the reset state, ready for the next sequence. Minimize the number of
states needed.
16. Design a counter that counts pulses on line w and displays the count in the sequence 0, 2, 1, 3, 0, 2,....
Use D flip-flops in your circuit.
Transcribed Image Text:w2: 1110101000111 z: 0000100001110 Derive a suitable circuit. 15. A given FSM has an input, w, and an output, z. During four consecutive clock pulses, a sequence of four values of the w signal is applied. Derive a state table for the FSM that produces z = 1 when it detects that either the sequence w: 0010 or w: 1110 has been applied; otherwise, z = 0. After the fourth clock pulse, the machine has to be again in the reset state, ready for the next sequence. Minimize the number of states needed. 16. Design a counter that counts pulses on line w and displays the count in the sequence 0, 2, 1, 3, 0, 2,.... Use D flip-flops in your circuit.
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