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Question

The truth table of D flip-flop is given below:

C  DQn+1
OXQn (Last State)
$\uparrow$00
$\uparrow$11

Choose exact characteristic equation based on above Truth Table

This question was previously asked in
UGC NET 2023 Paper 1 Question Paper (22-Jun-2023) (Shift 2)
The correct answer is

Qn+1 = Dn

To determine the exact characteristic equation for a D flip-flop given the truth table, let's analyze the provided information:

C  DQn+1
0XQn (Last State)
00
11
  • The truth table indicates how the D (data) and C (clock) inputs affect the output Qn+1.
  • On the rising edge of the clock kernel (denoted by ↑), the output Qn+1 directly follows the D input.
  • When C = 0, the output remains at its last state (Qn).

Based on this truth table:

  • During the rising edge of C, if D=0, then Qn+1 = 0.
  • During the rising edge of C, if D=1, then Qn+1 = 1.

From this behavior, we can derive the characteristic equation of the D flip-flop:

\(Q_{n+1} = D_n\)

The correct option based on the truth table and the behavior of a D flip-flop is Qn+1 = Dn, which matches the expected behavior where the output follows the input on the clock's rising edge.

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