It is necessary to design an asynchronous sequential circuit with two inputs, $x _1 and x _2$, and one output $z$. Initially, both input and output are zero. when $x _1 and x _2$ becomes 1, z becomes 1. when the second input also becomes 1, the output changes to 0. The output stays at 0 until the circuit goes back to the initial state.
- obtain a primitive flow table for the circuit and show that it can be reduced to the flow table shown in the figure
- complete the design of the circuit.