The next state table of a 2-bit saturating up-counter is given below.

Q1

Q0

\({Q_{1}^{+}}\)

\({Q_{0}^{+}}\)

0

0

0

1

0

1

1

0

1

0

1

1

1

1

1

1


The counter is built as a synchronous sequential circuit using T flip-flops. The expressions for T1 and T0 are

1
T1 = Q1Q0, T0 = Q̅10
2
T1 = Q̅1Q0, T0 = Q̅1 + Q̅0
3
T1 = Q1 + Q0, T0 = Q̅1 + Q̅0
4
T1 = Q̅1Q0, T0 = Q1 + Q0

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