13. Derive the state diagram for an FSM that has an input w and an output z. The machine has to generate z = 1 when the previous four values of w were 1001 or 1111; otherwise, z = 0. Overlapping input patterns are allowed. An example of the desired behavior is w 010111100110011111 z: 000000100100010011

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Solve question 13
Fig P11
13. Derive the state diagram for an FSM that has an input w and an output z. The machine has to generate
z = 1 when the previous four values of w were 1001 or 1111; otherwise, z = 0. Overlapping input patterns
are allowed. An example of the desired behavior is
w 010111100110011111
z: 000000100100010011
14. A sequential circuit has two inputs, w1 and w2, and an output, z. Its function is to compare the input
sequences on the two inputs. If w1 = w2 during any four consecutive clock cycles, the circuit produces z =
1; otherwise, z = 0. For example
w1 0110111000110
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
0010 or 1110 has been applied; otherwise, z = 0. After the fourth clock
Transcribed Image Text:Fig P11 13. Derive the state diagram for an FSM that has an input w and an output z. The machine has to generate z = 1 when the previous four values of w were 1001 or 1111; otherwise, z = 0. Overlapping input patterns are allowed. An example of the desired behavior is w 010111100110011111 z: 000000100100010011 14. A sequential circuit has two inputs, w1 and w2, and an output, z. Its function is to compare the input sequences on the two inputs. If w1 = w2 during any four consecutive clock cycles, the circuit produces z = 1; otherwise, z = 0. For example w1 0110111000110 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 0010 or 1110 has been applied; otherwise, z = 0. After the fourth clock
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