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4 bit up down counter counts from 0000 to 1111 if control input is set HIGH ,else it would count from 1111 to 0000. it can be build by cascading 4 nos of D flipflops with a mux at the input node to choose between UP/DOWN
A 4-bit up-down counter is a digital circuit capable of counting both upwards and downwards in binary, typically controlled by an up/down input signal.