Explain the synchronous up-down counters, Electrical Engineering

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Explain the Synchronous Up-Down Counters?

The circuit of a 3-bit synchronous up-down counter and a table of its sequence are shown below. Alike to an asynchronous up-down counter and a synchronous up-down counter also has an up-down control input and it is used to control the direction of the counter through a certain sequence.

2174_Synchronous Up-Down Counters.png

In favor of both the UP and DOWN sequences Q0 toggles on each clock pulse.
In favor of the UP sequence Q1 changes state on the next clock pulse when Q0=1.
In favor of the DOWN sequence Q1 changes state on the next clock pulse when Q0=0.
In favor of the UP sequence Q2 changes state on the next clock pulse when Q0=Q1=1.
In favor of the DOWN sequence Q2 changes state on the next clock pulse when Q0=Q1=0.

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