14. A sequential circuit has two inputs, wl 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 Derive a suitable circuit. 8 w1 0110111000110 w2: 1110101000111 z: 0000100001110

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w 010111100110011111
z: 000000100100010011
14. A sequential circuit has two inputs, wl 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
a
w1
w2
z:
0110111000110
1110101000111
0000100001110
Derive a suitable circuit.
of
15. A given FSM has an input, w, and an output, z. During four consecutive clock pulses, a sequence
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:w 010111100110011111 z: 000000100100010011 14. A sequential circuit has two inputs, wl 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 a w1 w2 z: 0110111000110 1110101000111 0000100001110 Derive a suitable circuit. of 15. A given FSM has an input, w, and an output, z. During four consecutive clock pulses, a sequence 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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