8.11 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.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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8.11 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.
Transcribed Image Text:8.11 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.
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