2 Bit Synchronous circuit that operates only with clock [Q]
There are all sorts of ways.

JK







simulate this circuit &ndash; Schematic created using CircuitLab

T (essentially a JK with both inputs tied together







simulate this circuit

D (Essentially a JK with the K inverted, and both tied together)







simulate this circuit

Note that the JK implementation ties the inputs of the first FF high, and this is not shown as an input on most counters.