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Obtain a primitive flow table for a circuit with two inputs, $x _1 and x _2$ and two outputs $y _1 and y _2$, that satisfy the following four conditions.

  1. When $x _1x _2 = 00$, the output is $z _1z _2 = 00$.
  2. when $x _1 = 1$ and $x _2$ changes from  0 to 1, the output is $z _1z _2 = 01$.
  3. when $x _2 = 1$ and  $x _1$ changes from 0 to 1, the output is $z _1z _2$ = 10.
  4. otherwise the output does not change.
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