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Implement the synchronous 2-bit Up/Down counter with saturation at the end states. The flip-flop outputs Q1,...

Implement the synchronous 2-bit Up/Down counter with saturation at the end states. The flip-flop outputs Q1, Q0 serve as the outputs of the counter. The counting direction is set with mode control input M. With M =1 the flip-flop outputs follow the incrementing binary sequence starting from a current state with saturation at state 11 as shown in the following example: 00-> 01-> 10-> 11-> 11-> 11... With M =0 the outputs follow the decrementing binary sequence from a current state with saturation in state 00 as illustrated below: 11-> 10-> 01->00->00->00... Obtain the state table, the flip-flop input excitation equations and implement them with any number of 2-to-1 multiplexers. Inverters can be used. Obtain the counter schematic.

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