Tutorial10 solution

Om Prakash Bankolia

ESC201A Tutorials IIT KANPUR

ESC201A: Introduction to Electronics
Tutorial #10
Problems
1. A PN flip-flop has four operations, reset to 0, hold, complement and set to 1 when inputs PN are
00,01,10,11 respectively. Tabulate the characteristic table, excitation table and show how the PN
FF can be converted to a D FF.
2. A sequential circuit with two flip-flops A and B, two inputs x, y and a output z has the
following behavior: ( 1) . . ; ( 1) . . ;A t x y x B B t x A x B z A       . Draw the logic
diagram of the circuit, list the state table and draw the state transition graph.
3. Design a sequential circuit with two D flip-flops A and B and one input x such that when x = 0,
the state of the circuit remains the same. When x = 1, the circuit goes through the state transitions
from 00 to 01, to 11, to 10 and back to 00, and repeats.
Present State Input Next State
A B x
0 1
0 1
0
1
1 0
1 0
1 1
1 1
0
1
0
1
0
1
A B
0 0
0 0
DA DB
0 0
0 1
0 0
0 1
0 1
1 1
0 1
1 1
1 0
0 0
1 0
0 0
1 1
1 0
1 1
1 0
00 01 11
0
1
10
1 0
1
A
Bx
1 1
00 01 11
0
1
10
1
A
Bx
1
1
1
QD Ax
B
A
Q BD
A
B
4. Give a circuit realization of the combinational logic block shown in Fig. 1(a) to obtain the truth
table shown in Fig. 1(b).
Fig. 1(a) Fig. 1(b)
Tutorial10 solution
Tutorial10 solution
5. The waveform of the clock as shown in Fig. 2(a) excites the circuit shown in Fig. 2(b). Sketch
the output waveform.
Fig. 2(a) Fig. 2(b)

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Tutorial10 solution

  • 1. ESC201A: Introduction to Electronics Tutorial #10 Problems 1. A PN flip-flop has four operations, reset to 0, hold, complement and set to 1 when inputs PN are 00,01,10,11 respectively. Tabulate the characteristic table, excitation table and show how the PN FF can be converted to a D FF.
  • 2. 2. A sequential circuit with two flip-flops A and B, two inputs x, y and a output z has the following behavior: ( 1) . . ; ( 1) . . ;A t x y x B B t x A x B z A       . Draw the logic diagram of the circuit, list the state table and draw the state transition graph.
  • 3. 3. Design a sequential circuit with two D flip-flops A and B and one input x such that when x = 0, the state of the circuit remains the same. When x = 1, the circuit goes through the state transitions from 00 to 01, to 11, to 10 and back to 00, and repeats. Present State Input Next State A B x 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 A B 0 0 0 0 DA DB 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 00 01 11 0 1 10 1 0 1 A Bx 1 1 00 01 11 0 1 10 1 A Bx 1 1 1 QD Ax B A Q BD A B
  • 4. 4. Give a circuit realization of the combinational logic block shown in Fig. 1(a) to obtain the truth table shown in Fig. 1(b). Fig. 1(a) Fig. 1(b)
  • 7. 5. The waveform of the clock as shown in Fig. 2(a) excites the circuit shown in Fig. 2(b). Sketch the output waveform. Fig. 2(a) Fig. 2(b)