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Consider a 4 bit Johnson counter with an initial decimal value of $1$. The counting sequence of this counter is:

  1. $1, 3, 15, 14, 12, 8, 7, 0$
  2. $1, 3, 5, 7, 9, 11, 13, 15$
  3. $1, 0, 8, 12, 14, 15, 7, 3$
  4. $1, 7, 3, 0, 8, 12, 14, 15$

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In a Johnson counter the inverted output of the last flipflop is given as the input to the first one. So, when the output of the previous FF becomes $0,$ the current FF output becomes $0$ in the next clock cycle.

So, after initial value $1 = 0001,$ in the next clock cycle, all FF outputs will be $0 - 0000.$ Then the cycle goes like $1,0,8,12,14,15,7,3,1$
n-bit Johnson counter has 2n states. From initial state $7_{10}=0111_2$ it will go to $0011_2=3_{10}$ and then $0001_2=1_{10}$ followed by $0000_2=0_{10}$, $1000_2=8_{10}$, $1100_2=12_{10}$, $1110_2=14_{10}$ and $1111_2=15_{10}$ respectively.
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