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A Johnson counter is a modified ring counter, where the inverted output from the last flip flop is connected to the input to the first. The register cycles through a sequence of bit-patterns. The MOD of the Johnson counter is 2n if n flip-flops are used. The main advantage of the Johnson counter counter is that it only needs half the number of flip-flops compared to the standard ring counter for the same MOD.
Twisted ring counter is a types of ring counter in which the complement of output of the last shift register is connected to the input of the first register. It circulates a stream of 1s followed by 0s around the ring.

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