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The characteristic equation of the T-FF is given by(A) Q+ = T’Q + TQ’(B) Q+ = TQ’ + T’Q(C) Q+ = TQ(D) Q+ = TQ’

Question

The characteristic equation of the T-FF is given by(A) Q+ = T’Q + TQ’(B) Q+ = TQ’ + T’Q(C) Q+ = TQ(D) Q+ = TQ’

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Solution

The characteristic equation of a T flip-flop (T-FF) is given by option (B) Q+ = TQ’ + T’Q.

Here's the step by step explanation:

  1. The T flip-flop is a single input device and hence it has only two possible input combinations, i.e., T=0 and T=1.

  2. When T=0, the next state Q+ is the same as the present state Q. This can be represented as Q+ = Q.

  3. When T=1, the next state Q+ is the complement of the present state Q. This can be represented as Q+ = Q’.

  4. Combining these two conditions, we get the characteristic equation of the T flip-flop as Q+ = TQ’ + T’Q.

So, the correct answer is (B) Q+ = TQ’ + T’Q.

This problem has been solved

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