Q42

MCQ2 marks, −0.67

The next state table of a $2-$ bit saturating up-counter is given below. $\begin{array}{cc|cc} Q_1 & Q_0 & Q_1^+ & Q_0^+ \\ \hline 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 \\ 1 & 1 & 1 & 1 \end{array}$ The counter is built as a synchronous sequential circuit using $T$ flip-flops. The expressions for $T_1$ and $T_0$ are

(A)

$T_1 = Q_1Q_0, \quad T_0= \bar{Q_1} \bar{Q_0}$

(B)

$T_1 = \bar{Q_1}Q_0, \quad T_0= \bar{Q_1} + \bar{Q_0}$

(C)

$T_1 = Q_1+Q_0, \quad T_0= \bar{Q_1} \bar{Q_0}$

(D)

$T_1 = \bar{Q_1}Q_0, \quad T_0= Q_1 + Q_0$

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