For the circuit shown, the counter state (Q1Q0) follows the sequence

F2 S.B 2.6.20 Pallavi D1

This question was previously asked in
ESE Electronics 2010 Paper 2: Official Paper
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  1. 00, 01,10, 11,00 ....
  2. 00, 01, 10, 00, 01 ....
  3. 00, 01, 11, 00, 01 ....
  4. 00,10, 11,00, 10 ....

Answer (Detailed Solution Below)

Option 2 : 00, 01, 10, 00, 01 ....
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Detailed Solution

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Concept:

D-flipflop is a flipflop that produces a delay of exactly one cycle to the CLK.

F2 S.B 2.6.20 Pallavi D2

The characteristic equation of a D flip flop is:

Qn+1 = D

It is also known as ‘’Transparent latch” because Qn+1 = D

Application:

From given sequential circuit:

\({D_0} = \overline {{Q_1} + {Q_0}} \) and D1 = Q0

Now,

Present

State

FF Inputs

Next state

Q1

Q0

D1

D0

\(Q_1^ + \)

\(Q_0^ + \)

0

0

0

1

0

1

0

1

1

0

1

0

1

0

0

0

0

0

 

So, counts state (Q1 Q0) follows the sequence:

00 → 01 → 10 → 00 → 01 ….

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